{"text_format":"1","workbook":"xlsx","n_sheets":5,"sheets":["Aufgaben","mehr Aufgaben","FAQ","Name-ID","hidden"],"not_rendered":{"charts":22,"images":119,"macros":1,"external_links":0,"defined_names":25,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Aufgaben","index":0,"n_rows":555,"n_cols":20,"rows_kept":555,"cut":false,"hidden":false,"merged":[[312,1,313,4],[271,1,272,4]]}
[null,"Trainingslager",null,null,null,null,null,null,null,null,{"$f":"hidden!A1","v":0}]
[]
[null,"Tipp deine persönliche ID-Zahl ein:",null,null,{"$f":"A142","v":0},null,{"$f":"\"Hallo \"&VLOOKUP(ID,'Name-ID'!A2:B40,2)","v":"Hallo Klasse"}]
[null,"(klicke unten in diesem Fenster auf den Reiter \"Name-ID\")"]
[null,"Bearbeite dann händisch die Aufgaben. Trage deine Ergebnisse in die gelben Felder ein. "]
[null,"Wenn du richtig liegst, solltest du auch eine Bestätigung bekommen."]
[null,"Troubleshooting: Siehe die Seite FAQ (Reiter unten am Bildschirmrand) oder klicke:",null,null,null,null,"HIER",null,"Links:"]
[]
[null,"Kapitel",null,null,null,null,null,null,null,null,null,null,null,null,"Fime (auf youtube)"]
[1,"Lineare Funktionen",null,null,null,null,null,null,"mathebaustelle",null,null,null,null,null,"Playlist Mathehoch13",null,null,"Links zum Thema lineare Gleichungen"]
[2,"quadratische Gleichungen",null,null,null,null,null,null,"mathebaustelle",null,null,null,null,null,"Playlist Mathehhoch^3",null,null,"Links zum Thema quadratische Gleichungen"]
[3,"quadratische Funktionen",null,null,null,null,null,null,null,null,null,null,null,null,"Playlist Mathehhoch^3"]
[4,"Lineare Gleichungssysteme",null,null,null,null,null,null,"mathebaustelle"]
[5,"Steckbriefaufgaben",null,null,null,null,null,null,"Glossar: Steckbriefaufgabe"]
[6,"Das Muster der Steigungen"]
[7,"Differentialrechnung"]
[8,"Umgang mit dem CAS (Funktionen)"]
[9,"Bäume"]
[10,"Zufallsvariablen",null,null,null,null,null,null,null,null,null,null,null,null,"Playlist Mathehoch13"]
[11,"Binomialverteilung",null,null,null,null,null,null,"Glossar: Binomialverteilujng",null,null,null,null,null,"Playlist Mathehoch13"]
[12,"Erwartungswert und Streuung bei Stichproben"]
[20,"Vektorrechnung"]
[21,"Matrizenrechnung"]
[]
[]
[]
[]
[1,"Lineare Funktionen",null,null,null,null,null,null,"Video","Playlist Mathehoch13"]
[null,null,null,null,null,null,null,null,"Thema: lineare Funktionen",null,null,null,null,null,null,"auf mathebaustelle.de"]
[{"$f":"hidden!E4","v":"Aufgabe 1"},"Löse die Gleichung:"]
[null,{"$f":"IF(hidden!N6<0,\" - \",\"\")&IF(hidden!N6=0,\"\",IF(ABS(hidden!N6)=1,\" x \",ABS(hidden!N6)&\" x \"))&IF(hidden!O6>0,IF(hidden!O6<>0,\" + \",\"\"),\"\")&IF(hidden!O6<0,\" - \",\"\")&IF(hidden!O6=0,\"\",IF(ABS(hidden!O6)=1,\" 1 \",ABS(hidden!O6)&\"\"))&\" = \"&hidden!P6","v":"5 x  - 6 = 14"},null,"x=",null,null,{"$f":"hidden!G4","v":""},null,"Erklärfilm",null,null,null,"(auf youtube)"]
[null,null,null,null,null,null,null,null,"Links zum Thema"]
[null,null,null,null,null,null,null,null,"interaktives Training",null,null,null,"Hier sieht man jeden einzelnen Schritt (Antwortspoiler)"]
[]
[{"$f":"hidden!E13","v":"Aufgabe 2"},{"$f":"\"Gegeben ist g mit g(x) = \"&IF(hidden!N14<0,\" - \",\"\")&IF(hidden!N14=0,\"\",IF(ABS(hidden!N14)=1,\" x \",ABS(hidden!N14)&\" x \"))&IF(hidden!O14>0,IF(hidden!O14<>0,\" + \",\"\"),\"\")&IF(hidden!O14<0,\" - \",\"\")&IF(hidden!O14=0,\"\",IF(ABS(hidden!O14)=1,\" 1 \",ABS(hidden!O14)&\"\"))","v":"Gegeben ist g mit g(x) = 3 x  + 9"},null,null,null,null,null,null,"mathebaustelle-Seite zu linearen Funktionen"]
["a)",{"$f":"hidden!E16","v":"Gib den y-Achsenabschnitt von g an:"},null,null,null,null,{"$f":"IF((E36-hidden!O14)=0,\"korrekt!\",\"\")","v":""},null,"Glossar: y-Achsenabschnitt",null,null,null,null,null,"vorgerechnetes Beispiel"]
["b)",{"$f":"hidden!E17","v":"Gib die Steigung von g an:"},null,null,null,null,{"$f":"IF((E37-hidden!N14)=0,\"korrekt!\",\"\")","v":""},null,"Glossar: Geradensteigung"]
["c)",{"$f":"hidden!E18","v":"Welchen Wert nimmt g an der Stelle -5 an?"},null,null,null,null,{"$f":"IF(E38=hidden!N14*hidden!L14+hidden!O14,\"korrekt!\",\"\")","v":""},null,"Tipp Stelle und Wert",null,null,null,null,null,"Glossar: Funktionswert"]
["d)",{"$f":"hidden!E19","v":"An welcher Stelle nimmt g den Wert -3 an?"},null,null,null,null,{"$f":"IF((E39-hidden!L15)=0,\"korrekt!\",\"\")","v":""},null,"Info Stelle",null,"interaktives Training",null,null,null,null,"Hier sieht man jeden einzelnen Schritt (Antwortspoiler)"]
[null,null,null,null,null,null,null,null,"Wenn du diese Begriffe an einem Anwendungsbeispiel trainieren willst: Das Wassergefäß"]
[null,null,null,null,null,null,null,null,"interaktives Training Wassergefäß"]
[]
[{"$f":"hidden!E23","v":"Aufgabe 3"},"Stell die Gleichung der Gerade g auf,",null,null,null,null,null,null,"Hintergrundinfos",null,null,null,null,null,"vorgerechnetes Beispiel"]
[null,{"$f":"\"die durch die Punkte (\"&hidden!L24&\"|\"&hidden!P24&\") und (\"&hidden!L25&\"|\"&hidden!P25&\") geht.\"","v":"die durch die Punkte (-4|17) und (1|7) geht."},null,null,null,null,null,null,"Video",null,null,null,null,null,null,"LehrerSchmidt",null,"DanielJung","mathehoch13"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Training"]
["a)","Berechne dazu zuerst die Steigung:",null,"m=",null,null,{"$f":"hidden!G24","v":""},null,"Glossar: Geradensteigung",null,null,null,null,null,"Training"]
["b)","und dann den y-Achsenabschnitt:",null,"b=",null,null,{"$f":"hidden!G25","v":""},null,"Glossar: y-Achsenabschnitt",null,null,null,null,null,"mathehoch13",null,"(auf youtube)"]
["c)","Dann schreib die Gleichung auf (g(x)=… ohne Malzeichen und Leerzeichen)"]
[null,null,null,null,null,null,{"$f":"hidden!G26","v":""}]
[]
[2,"quadratische Gleichungen",null,null,null,null,null,null,"Thema: quadratische Gleichungen",null,null,null,null,null,null,"auf mathebaustelle.de",null,"Links zum Thema quadratische Gleichungen"]
[null,null,null,null,null,null,null,null,null,"Playlist Mathehhoch^3"]
[{"$f":"hidden!E30","v":"Aufgabe 1"},"Löse die Gleichung:",null,null,{"$f":"IF(E54>E55,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E54>E55,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "},null,null,null,null,"Überblick bei Daniel Jung"]
[null,{"$f":"hidden!E32","v":"-1,2 (x -  1 )(x - 6)=0"},null,"x=",null,null,{"$f":"hidden!G32","v":""},null,"mathebaustelle",null,null,"Die faktorisierte Form: zwei Klammern - ein Geschenk"]
[null,null,"oder","x=",null,null,{"$f":"hidden!G33","v":""},null,"Hintergrundinfos",null,null,null,null,null,"vorgerechnetes Beispiel"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Training"]
[]
[{"$f":"hidden!E40","v":"Aufgabe 2"},"Löse die Gleichung:",null,null,{"$f":"IF(E59>E60,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E59>E60,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "}]
[null,{"$f":"hidden!E42","v":" - 2 x^2  - 4 x  = 0"},null,"x=",null,null,{"$f":"hidden!G42","v":""},null,"mathebaustelle",null,null,"Ausklammern"]
[null,null,"oder","x=",null,null,{"$f":"hidden!G43","v":""},null,null,null,null,null,null,null,"vorgerechnetes Beispiel"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Training"]
[]
[{"$f":"hidden!E47","v":"Aufgabe 3"},"Löse die Gleichung:",null,null,{"$f":"IF(E64>E65,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E64>E65,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "}]
[null,{"$f":"hidden!E49","v":" - 2 x^2  + 18 = 0"},null,"x=",null,null,{"$f":"hidden!G49","v":""},null,"mathebaustelle",null,null,"x²+c=0"]
[null,null,"oder","x=",null,null,{"$f":"hidden!G50","v":""},null,null,null,null,null,null,null,"vorgerechnetes Beispiel"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"externer Link zum Training: realmath"]
[]
[{"$f":"hidden!E58","v":"Aufgabe 4"},"Löse die Gleichung:",null,null,{"$f":"IF(E69>E70,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E69>E70,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "}]
[null,{"$f":"hidden!E60","v":" x^2  - 16 x  + 39 = 0"},null,"x=",null,null,{"$f":"IF(ISBLANK(E69),\"\",IF((E69-hidden!N60)=0,\"korrekt!\",\"\"))","v":""},null,"mathebaustelle",null,null,"Quadratische Ergänzung: das Verfahren, das immer geht."]
[null,null,"oder","x=",null,null,{"$f":"IF(ISBLANK(E70),\"\",IF((E70-hidden!O60)=0,\"korrekt!\",\"\"))","v":""},null,"Hintergrundinfos",null,null,null,null,null,"Erklärfilm quadr.Ergänzung"]
[null,-8,null,null,null,null,null,null,"interaktives Training",null,null,null,"Hier sieht man jeden einzelnen Schritt (Antwortspoiler)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erklärfilm zum internativen Training"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"DanielJung",null,"wem das lieber ist: p-q-Formel"]
[{"$f":"hidden!E65","v":"Aufgabe 5"},"Löse die Gleichung:"]
[null,{"$f":"hidden!E67","v":" - 2 x^2  + 4 x  + 48 = 0"},null,null,null,null,null,null,"Frage: Was ist x^2??",null,null,null,"Das \"^\" steht für \"hoch\". x^2 ist also x². x^3 ist x³"]
[null,"erstmal normieren: x^2….=0"]
[null,null,null,null,{"$f":"IF(E78>E79,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E78>E79,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "}]
[null,null,null,"x=",null,null,{"$f":"IF(ISBLANK(E78),\"\",IF((E78-hidden!N67)=0,\"korrekt!\",\"\"))","v":""},null,"Hintergrundinfos",null,null,null,null,null,"Erklärfilm quadr.Ergänzung"]
[null,null,"oder","x=",null,null,{"$f":"IF(ISBLANK(E79),\"\",IF((E79-hidden!O67)=0,\"korrekt!\",\"\"))","v":""},null,"interaktives Training",null,null,null,"Hier sieht man jeden einzelnen Schritt (Antwortspoiler)"]
[]
[3,"quadratische Funktionen",null,null,null,null,null,null,"Thema: quadratische Funktionen",null,null,null,null,null,null,"auf mathebaustelle.de"]
[]
[{"$f":"hidden!E75","v":"Aufgabe 1 (Scheitelpunktform)"}]
[null,{"$f":"hidden!L81","v":0}]
[null,{"$f":"hidden!L82","v":"Gegeben ist die Funktion f mit"},null,null,null,null,null,null,"Frage: Was ist x^2??",null,null,null,"Das \"^\" steht für \"hoch\". x^2 ist also x². x^3 ist x³"]
[null,{"$f":"hidden!L83","v":"f(x)=0,5(x - 4)^2 - 2"},null,null,null,null,null,null,"Glossar: Scheitelpunktform"]
[]
[{"$f":"hidden!I85","v":"a)"},{"$f":"hidden!L85","v":"Bring f auf Normalform: f(x)="},null,null,null,null,{"$f":"hidden!T85","v":""},null,"vorgerechnetes Beispiel",null,null,null,null,"Glossar: Normalform"]
[null,"(kein Malzeichen, keine Leerzeichen)"]
[]
[{"$f":"hidden!I87","v":"b)"},{"$f":"hidden!L87","v":"Gib den Scheitelpunkt an "},null,null,null,null,{"$f":"hidden!T87","v":""}]
[null,{"$f":"hidden!L88","v":"Schreib die Koordinaten ohne Leerzeichen in der Form (...;...)"},null,null,{"$f":"hidden!T88","v":""}]
[]
[{"$f":"hidden!I89","v":"c)"},{"$f":"hidden!L89","v":"Welchen Wert nimmt f an der Stelle -5 an?"},null,null,null,null,{"$f":"hidden!T89","v":""},null,"Tipp Stelle und Wert"]
[null,null,null,null,{"$f":"IF(E96>E97,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E96>E97,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "}]
[{"$f":"hidden!I91","v":"d)"},{"$f":"hidden!L91","v":"An welcher Stelle nimmt f den Wert 10,5 an?"},null,null,null,null,{"$f":"hidden!T91","v":""}]
[null,null,null,null,null,null,{"$f":"hidden!T92","v":""}]
[]
[{"$f":"hidden!I94","v":"e)"},{"$f":"hidden!L94","v":"Gib den y-Achsenabschnitt an."},null,null,null,null,{"$f":"hidden!T94","v":""},null,"Glossar: y-Achsenabschnitt"]
[null,null,null,null,{"$f":"hidden!T95","v":""}]
[null,{"$f":"hidden!L96","v":"Gegenüber der Standardnormalparabel y=x^2 ist f …"}]
[null,null,"richtig",{"$f":"\"falsch\"","v":"falsch"}]
[null,{"$f":"hidden!L98","v":"… nach unten geöffnet"},null,null,"In diese Tabelle ankreuzen, "]
[null,{"$f":"hidden!L99","v":"… gestreckt"},null,null,"indem du an den richtigen Stellen"]
[null,{"$f":"hidden!L100","v":"… um 4 nach links verschoben"},null,null,"ein kleines x einfügst!"]
[null,{"$f":"hidden!L101","v":"… um 2 nach links verschoben"},null,null,"\"stimmt\" wird nur angezeigt, wenn"]
[null,{"$f":"hidden!L102","v":"… um 4 nach rechts verschoben"},null,null,"alles richtig ist:"]
[null,{"$f":"hidden!L103","v":"… um 2 nach rechts verschoben"}]
[null,{"$f":"hidden!L104","v":"… um 4 nach oben verschoben"}]
[null,{"$f":"hidden!L105","v":"… um 2 nach oben verschoben"}]
[null,{"$f":"hidden!L106","v":"… um 4 nach unten verschoben"}]
[null,{"$f":"hidden!L107","v":"… um 2 nach unten verschoben"},null,null,null,null,{"$f":"hidden!T108","v":""}]
[]
[]
[{"$f":"hidden!E111","v":"Aufgabe 2 (Normalform)"}]
[]
[null,{"$f":"hidden!L118","v":"Gegeben ist die Funktion f mit"}]
[null,{"$f":"hidden!L119","v":"f(x)=0,5 x^2  - 4 x  + 6"},null,null,null,null,null,null,"Glossar: Normalform"]
[]
[{"$f":"hidden!I121","v":"a)"},{"$f":"hidden!L121","v":"Gib den y-Achsenabschnitt an."},null,null,null,null,{"$f":"hidden!T121","v":""},null,"Glossar: y-Achsenabschnitt"]
[null,null,null,null,{"$f":"\"Bitte die kleinere Zahl oben eintragen.\"&IF(ISBLANK(E123),\"\",IF(E122>E123,\"HALLO! ->Momentan steht die größere Zahl oben.\",\"\"))","v":"Bitte die kleinere Zahl oben eintragen."}]
[{"$f":"hidden!I123","v":"b)"},{"$f":"hidden!L123","v":"Berechne die Nullstellen. Runde auf eine Nachkommastelle."},null,null,null,null,{"$f":"hidden!T123","v":""},null,"Glossar: Nullstellen"]
[null,null,null,null,null,null,{"$f":"hidden!T124","v":""},null,"Wie man quadr. Gleichungen löst: Siehe oben unter "]
[null,null,null,null,null,null,null,null,"Kap. 2) quadratische Gleichungen, Aufg.5 (Normalform)"]
[{"$f":"hidden!I126","v":"c)"},{"$f":"hidden!L126","v":"Welchen Wert nimmt f an der Stelle -5 an?"},null,null,null,null,{"$f":"hidden!T126","v":""},null,"Tipp Stelle und Wert"]
[null,null,null,null,{"$f":"IF(E127>E128,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E127>E128,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "}]
[{"$f":"hidden!I128","v":"d)"},{"$f":"hidden!L128","v":"An welcher Stelle nimmt f den Wert 10,5 an?"},null,null,null,null,{"$f":"hidden!T128","v":""}]
[null,null,null,null,null,null,{"$f":"hidden!T129","v":""}]
[]
[]
[]
[{"$f":"A81+1","v":4},"Lineare Gleichungssysteme (LGS)",null,null,null,null,null,null,"mathebaustelle",null,null,null,"Handwerkszeug: Lineare Gleichungssysteme"]
[]
[{"$f":"hidden!E139","v":"Aufgabe 1 (Auswertung Diagonalform)"},null,null,null,"Das ist der \"Endspurt\" wenn man"]
[null,{"$f":"IF(hidden!M151<0,\" - \",\"\")&IF(hidden!M151=0,\"\",IF(ABS(hidden!M151)=1,\" a \",ABS(hidden!M151)&\" a \"))&IF(hidden!N151>0,IF(hidden!M151<>0,\" + \",\"\"),\"\")&IF(hidden!N151<0,\" - \",\"\")&IF(hidden!N151=0,\"\",IF(ABS(hidden!N151)=1,\" b \",ABS(hidden!N151)&\" b \"))&IF(hidden!O151>0,IF(hidden!M151^2+hidden!N151^2<>0,\" + \",\"\"),\"\")&IF(hidden!O151<0,\" - \",\"\")&IF(hidden!O151=0,\"\",IF(ABS(hidden!O151)=1,\" c \",ABS(hidden!O151)&\" c \"))&\" = \"&hidden!P151","v":" -  a  - 3 b  +  c  = 13"},"(I)",null,"schon fast fertig ist …"]
[null,{"$f":"IF(hidden!M152<0,\" - \",\"\")&IF(hidden!M152=0,\"\",IF(ABS(hidden!M152)=1,\" a \",ABS(hidden!M152)&\" a \"))&IF(hidden!N152>0,IF(hidden!M152<>0,\" + \",\"\"),\"\")&IF(hidden!N152<0,\" - \",\"\")&IF(hidden!N152=0,\"\",IF(ABS(hidden!N152)=1,\" b \",ABS(hidden!N152)&\" b \"))&IF(hidden!O152>0,IF(hidden!M152^2+hidden!N152^2<>0,\" + \",\"\"),\"\")&IF(hidden!O152<0,\" - \",\"\")&IF(hidden!O152=0,\"\",IF(ABS(hidden!O152)=1,\" c \",ABS(hidden!O152)&\" c \"))&\" = \"&hidden!P152","v":"4 b  - 2 c  = -22"},"(II)",null,null,null,null,null,null,null,null,null,"Cornelsen",null,null,"LehrerSchmidt",null,"zu LGS und Additionsverfahren"]
[null,{"$f":"IF(hidden!M153<0,\" - \",\"\")&IF(hidden!M153=0,\"\",IF(ABS(hidden!M153)=1,\" a \",ABS(hidden!M153)&\" a \"))&IF(hidden!N153>0,IF(hidden!M153<>0,\" + \",\"\"),\"\")&IF(hidden!N153<0,\" - \",\"\")&IF(hidden!N153=0,\"\",IF(ABS(hidden!N153)=1,\" b \",ABS(hidden!N153)&\" b \"))&IF(hidden!O153>0,IF(hidden!M153^2+hidden!N153^2<>0,\" + \",\"\"),\"\")&IF(hidden!O153<0,\" - \",\"\")&IF(hidden!O153=0,\"\",IF(ABS(hidden!O153)=1,\" c \",ABS(hidden!O153)&\" c \"))&\" = \"&hidden!P153","v":" - 2 c  = -10"},"(III)",null,"\"korrekt\" wird nur angezeigt, wenn",null,null,null,"Hintergrundinfos"]
[null,null,null,null,"alle drei Zahlen richtig sind:"]
[null,"Löse das LGS und",null,"a=",null,null,null,null,"Erklärfilm",null,null,null,"zur Aufgabe (Film auf youtube)"]
[null,"trage die Lösung in die gelben Felder ein:",null,"b="]
[null,null,null,"c=",null,null,{"$f":"hidden!T153","v":""}]
[]
[{"$f":"hidden!E158","v":"Aufgabe 2 (zwei Gleichungen, zwei Variable, Schritt für Schritt mit Additionsverfahren)"}]
[]
[null,"Trage in die gelben Felder ein, womit du Gleichung (I) bzw. (II) multiplizierst, ",null,null,"\"korrekt\" wird nur angezeigt, wenn",null,null,null,"Erklärfilm",null,null,null,"zur Aufgabe (Film auf youtube)"]
[null,"damit a wegfällt, wenn du danach addierst. ",null,null,"es klappt. Dazu müssen beide ",null,null,null,"interaktives Training",null,null,null,"vorgerechnetes Beispiel"]
[null,"Wenn nichts verändert werden soll, lass \"mal 1\" stehen!",null,null,"Einzträge zueinander passen!",null,null,null,"Training als pdf (Check mit Lösung)"]
[null,{"$f":"IF(hidden!M161<0,\" - \",\"\")&IF(hidden!M161=0,\"\",IF(ABS(hidden!M161)=1,\" a \",ABS(hidden!M161)&\" a \"))&IF(hidden!N161>0,IF(hidden!M161<>0,\" + \",\"\"),\"\")&IF(hidden!N161<0,\" - \",\"\")&IF(hidden!N161=0,\"\",IF(ABS(hidden!N161)=1,\" b \",ABS(hidden!N161)&\" b \"))&IF(hidden!O161>0,IF(hidden!M161^2+hidden!N161^2<>0,\" + \",\"\"),\"\")&IF(hidden!O161<0,\" - \",\"\")&IF(hidden!O161=0,\"\",IF(ABS(hidden!O161)=1,\" c \",ABS(hidden!O161)&\" c \"))&\" = \"&hidden!P161","v":"3 a  + 5 b  = 0"},"(I)",null,null,"Faktor, mit dem du die erste Gleichung malnimmst"]
[null,{"$f":"IF(hidden!M162<0,\" - \",\"\")&IF(hidden!M162=0,\"\",IF(ABS(hidden!M162)=1,\" a \",ABS(hidden!M162)&\" a \"))&IF(hidden!N162>0,IF(hidden!M162<>0,\" + \",\"\"),\"\")&IF(hidden!N162<0,\" - \",\"\")&IF(hidden!N162=0,\"\",IF(ABS(hidden!N162)=1,\" b \",ABS(hidden!N162)&\" b \"))&IF(hidden!O162>0,IF(hidden!M162^2+hidden!N162^2<>0,\" + \",\"\"),\"\")&IF(hidden!O162<0,\" - \",\"\")&IF(hidden!O162=0,\"\",IF(ABS(hidden!O162)=1,\" c \",ABS(hidden!O162)&\" c \"))&\" = \"&hidden!P162","v":" - 2 a  - 4 b  = -2"},"(II)",null,null,null,{"$f":"hidden!T163","v":""}]
[]
[null,{"$f":"\"In dieser Zeile soll a wegfallen:\"&IF(hidden!M173<0,\" - \",\"\")&IF(hidden!M173=0,\"\",IF(ABS(hidden!M173)=1,\" a \",ABS(hidden!M173)&\" a \"))&IF(hidden!N173>0,IF(hidden!M173<>0,\" + \",\"\"),\"\")&IF(hidden!N173<0,\" - \",\"\")&IF(hidden!N173=0,\"\",IF(ABS(hidden!N173)=1,\" b \",ABS(hidden!N173)&\" b \"))&IF(hidden!O173>0,IF(hidden!M173^2+hidden!N173^2<>0,\" + \",\"\"),\"\")&IF(hidden!O173<0,\" - \",\"\")&IF(hidden!O173=0,\"\",IF(ABS(hidden!O173)=1,\" c \",ABS(hidden!O173)&\" c \"))&\" = \"&hidden!P173","v":"In dieser Zeile soll a wegfallen: = 0"},{"$f":"IF(E148^2+E149^2=0,\"\",IF(E148*hidden!M161+E149*hidden!M162=0,\"     hat geklappt!\",\"     noch hat es nicht geklappt\"))","v":""}]
["immer noch Aufgabe 2"]
[null,"Berechne b und "]
[null,"trage die Lösung in das gelbe Feld ein:",null,"b=",null,null,{"$f":"hidden!T159","v":""}]
[null,"Berechne zum Schluss noch a:",null,"a=",null,null,{"$f":"hidden!T160","v":""},null,"Tipp: Dazu setzt du eine der Gleichungen von oben dein Ergebnis von b ein."]
[null,null,null,null,null,null,null,null,{"$f":"\"also: \"&IF(hidden!M161<0,\" - \",\"\")&IF(hidden!M161=0,\"\",IF(ABS(hidden!M161)=1,\" a \",ABS(hidden!M161)&\" a \"))&IF(hidden!N161>0,IF(hidden!M161<>0,\" + \",\"\"),\"\")&IF(hidden!N161<0,\" - \",\"\")&IF(hidden!N161=0,\"\",IF(ABS(hidden!N161)=1,\" * \"&E154,ABS(hidden!N161)&\" * \"&E154))&IF(hidden!O161>0,IF(hidden!M161^2+hidden!N161^2<>0,\" + \",\"\"),\"\")&IF(hidden!O161<0,\" - \",\"\")&IF(hidden!O161=0,\"\",IF(ABS(hidden!O161)=1,\" c \",ABS(hidden!O161)&\" c \"))&\" = \"&hidden!P161","v":"also: 3 a  + 5 *  = 0"}]
[{"$f":"hidden!E177","v":"Aufgabe 3 (drei Gleichungen, drei Variablen)"}]
[]
[null,{"$f":"IF(hidden!M184<0,\" - \",\"\")&IF(hidden!M184=0,\"\",IF(ABS(hidden!M184)=1,\" a \",ABS(hidden!M184)&\" a \"))&IF(hidden!N184>0,IF(hidden!M184<>0,\" + \",\"\"),\"\")&IF(hidden!N184<0,\" - \",\"\")&IF(hidden!N184=0,\"\",IF(ABS(hidden!N184)=1,\" b \",ABS(hidden!N184)&\" b \"))&IF(hidden!O184>0,IF(hidden!M184^2+hidden!N184^2<>0,\" + \",\"\"),\"\")&IF(hidden!O184<0,\" - \",\"\")&IF(hidden!O184=0,\"\",IF(ABS(hidden!O184)=1,\" c \",ABS(hidden!O184)&\" c \"))&\" = \"&hidden!P184","v":"4 a  - 2 b  + 4 c  = -10"},"(I)",{"$f":"IF(hidden!M181>0,hidden!M181/GCD(ABS(hidden!M180), ABS(hidden!M181)),-hidden!M181/GCD(ABS(hidden!M180), ABS(hidden!M181)))","v":1},null,null,null,null,"Erklärfilm",null,null,"zur Aufgabe (Film auf youtube)",null,null,"vorgerechnetes Beispiel"]
[null,{"$f":"IF(hidden!M185<0,\" - \",\"\")&IF(hidden!M185=0,\"\",IF(ABS(hidden!M185)=1,\" a \",ABS(hidden!M185)&\" a \"))&IF(hidden!N185>0,IF(hidden!M185<>0,\" + \",\"\"),\"\")&IF(hidden!N185<0,\" - \",\"\")&IF(hidden!N185=0,\"\",IF(ABS(hidden!N185)=1,\" b \",ABS(hidden!N185)&\" b \"))&IF(hidden!O185>0,IF(hidden!M185^2+hidden!N185^2<>0,\" + \",\"\"),\"\")&IF(hidden!O185<0,\" - \",\"\")&IF(hidden!O185=0,\"\",IF(ABS(hidden!O185)=1,\" c \",ABS(hidden!O185)&\" c \"))&\" = \"&hidden!P185","v":" - 2 a  +  b  + 2 c  = -11"},"(II)",{"$f":"IF(hidden!M181>0,-hidden!M180/GCD(ABS(hidden!M180), ABS(hidden!M181)),hidden!M180/GCD(ABS(hidden!M180), ABS(hidden!M181)))","v":2}]
[null,{"$f":"IF(hidden!M186<0,\" - \",\"\")&IF(hidden!M186=0,\"\",IF(ABS(hidden!M186)=1,\" a \",ABS(hidden!M186)&\" a \"))&IF(hidden!N186>0,IF(hidden!M186<>0,\" + \",\"\"),\"\")&IF(hidden!N186<0,\" - \",\"\")&IF(hidden!N186=0,\"\",IF(ABS(hidden!N186)=1,\" b \",ABS(hidden!N186)&\" b \"))&IF(hidden!O186>0,IF(hidden!M186^2+hidden!N186^2<>0,\" + \",\"\"),\"\")&IF(hidden!O186<0,\" - \",\"\")&IF(hidden!O186=0,\"\",IF(ABS(hidden!O186)=1,\" c \",ABS(hidden!O186)&\" c \"))&\" = \"&hidden!P186","v":"4 a  + 3 b  -  c  = 25"},"(III)"]
[null,{"$f":"\"nur abgeschrieben wird: \"&B159&\" (also die erste Zeile)\"","v":"nur abgeschrieben wird: 4 a  - 2 b  + 4 c  = -10 (also die erste Zeile)"},null,null,null,null,null,null,"Also nicht rechnen, nur die erste Zeile nochmal abschreiben …"]
[null,"Trage in das gelbe Feld unten das Ergebnis dieser Addition ein:"]
[null,"(in der Art von: 2a+4b-c=3, kein Malzeichen, kein Leerzeichen!)"]
[null,null,null,null,null,null,{"$f":"IF(B165=hidden!R192,\"korrekt!\",\"\")","v":""}]
[null,"danach würde es weitergehen mit einer neuen Rechnung mit erster und dritter Zeile…",null,null,null,null,null,null,"Erklärfilm",null,null,"zur Aufgabe (Film auf youtube)"]
[]
[null,"Löse das LGS zuende und",null,"a=",null,null,"Diesmal gibt es nur eine Antwortwückmeldung,",null,null,null,null,null,null,null,{"$f":"hidden!P177","v":3}]
[null,"trage die Lösung in die gelben Felder ein:",null,"b=",null,null,"wenn a, b und c stimmen.",null,null,null,null,null,null,null,{"$f":"hidden!P178","v":3}]
[null,null,null,"c=",null,null,{"$f":"IF((E168-hidden!P177)^2+(E169-hidden!P178)^2+(E170-hidden!P179)^2=0,\"korrekt!\",\"\")","v":""},null,null,null,null,null,null,null,{"$f":"hidden!P179","v":-4}]
[]
[null,null,null,null,null,null,"Gleichungstester:",null,"a+",null,"b+",null,"c="]
[null,null,null,null,null,null,{"$f":"IF(H172*hidden!P177+J172*hidden!P178+L172*hidden!P179=N172,\"Deine Gleichung ist richtig:\",\"Deine Gleichung ist falsch:\")","v":"Deine Gleichung ist richtig:"},{"$f":"IF(H172*hidden!P177+J172*hidden!P178+L172*hidden!P179=N172,IF(H172=0,0,H172)&\"*a+\"&IF(J172=0,0,J172)&\"*b+\"&IF(L172=0,0,L172)&\"*c=\"&IF(N172=0,0,N172),IF(H172=0,0,H172)&\"*a+\"&IF(J172=0,0,J172)&\"*b+\"&IF(L172=0,0,L172)&\"*c ist ungleich \"&IF(N172=0,0,N172))","v":"0*a+0*b+0*c=0"}]
[]
[{"$f":"A132+1","v":5},"Steckbriefaufgaben"]
[]
[{"$f":"hidden!E195","v":"Aufgabe 1 (quadratische Funktion, c gegeben)"}]
[]
[null,"Gesucht ist eine quadratische Funktion",null,null,null,null,null,null,"Erklärfilm",null,null,"zur Aufgabe (Film auf youtube)",null,null,null,null,"vorgerechnetes Beispiel"]
[null,"f(x)=a x^2 + b x + c","(x^2=x²)",null,null,null,null,null,null,null,null,null,null,null,"MathemaTrick",null,"DanielJung"]
[null,{"$f":"\"Der Graph geht durch \"&\"(\"&hidden!P195&\"|\"&hidden!P198&\")\"","v":"Der Graph geht durch (0|-1)"}]
[null,{"$f":"\"und durch \"&\"(\"&hidden!P196&\"|\"&hidden!P199&\")\"","v":"und durch (1|2,5)"},null,null,null,null,null,null,"Glossar: Steckbriefaufgabe - quadratische Funktion"]
[null,{"$f":"\"und durch \"&\"(\"&hidden!P197&\"|\"&hidden!P200&\")\"","v":"und durch (5|26,5)"},null,null,null,null,null,null,"interaktives Training"]
[]
[null,"Gib an:",null,"c=",null,null,{"$f":"hidden!T202","v":""}]
[]
[null,"Berechne a, b und c",null,"a=",null,null,"Diesmal gibt es nur eine Antwortrückmeldung,"]
[null,null,null,"b=",null,null,"wenn a, b und c stimmen."]
[null,null,null,"c=",{"$f":"IF(ISBLANK(E185),\"\",E185)","v":""},null,{"$f":"IF(E189=\"\",\"\",IF((E187-hidden!M198)^2+(E188-hidden!N198)^2+(E189-hidden!O198)^2=0,\"korrekt!\",\"\"))","v":""},null,null,null,null,null,null,null,null,"Man nennt das eine \"Parametergleichung\". Parameter ist nur ein Wort für Variable - hier für das t"]
[null,null,null,null,null,null,{"$f":"IF(E190=\"\",\"\",IF((E188-hidden!M199)^2+(E189-hidden!N199)^2+(E190-hidden!O199)^2=0,\"korrekt!\",\"\"))","v":""}]
[]
[{"$f":"hidden!E213","v":"Aufgabe 2 (quadratische Funktion, d nicht gegeben)"},null,null,null,null,"  ;   t     IR"]
[]
[null,"Gesucht ist eine quadratische Funktion"]
[null,"f(x)=a x^2 + b x + c","(x^2=x²)",null,null,null,null,null,"Glossar: Steckbriefaufgabe - quadratische Funktion"]
[null,{"$f":"\"Der Graph geht durch \"&\"(\"&hidden!P213&\"|\"&hidden!P216&\")\"","v":"Der Graph geht durch (-3|-1)"},null,null,null,null,null,null,null,null,null,null,null,null,"MathemaTrick",null,"DanielJung","(Filme auf youtube)"]
[null,{"$f":"\"und durch \"&\"(\"&hidden!P214&\"|\"&hidden!P217&\")\"","v":"und durch (-4|4)"}]
[null,{"$f":"\"und durch \"&\"(\"&hidden!P215&\"|\"&hidden!P218&\")\"","v":"und durch (2|4)"}]
[]
[null,{"$f":"\"Gib die Gleichung an, die sich durch direktes Einsetzen aus den drei Punkten ergibt:\"","v":"Gib die Gleichung an, die sich durch direktes Einsetzen aus den drei Punkten ergibt:"}]
[null,"(Bitte in der Form 81a+9b+c=45 angeben - nur mit den richtigen Zahlen! Ohne Leerzeichen!)"]
[{"$f":"\"(\"&hidden!P213&\"|\"&hidden!P216&\")\"","v":"(-3|-1)"},null,null,null,null,null,{"$f":"IF(B202=hidden!R216,\"genau richtig!\",\"\")","v":""}]
[{"$f":"\"(\"&hidden!P214&\"|\"&hidden!P217&\")\"","v":"(-4|4)"},null,null,null,null,null,{"$f":"IF(B203=hidden!R217,\"genau richtig!\",\"\")","v":""}]
[{"$f":"\"(\"&hidden!P215&\"|\"&hidden!P218&\")\"","v":"(2|4)"},null,null,null,null,null,{"$f":"IF(B204=hidden!R218,\"genau richtig!\",\"\")","v":""}]
[]
[null,"Berechne a, b und c ",null,"a=",null,null,"Diesmal gibt es nur eine Antwortrückmeldung,"]
[null,null,null,"b=",null,null,"wenn a, b und c stimmen."]
[null,null,null,"c=",null,null,{"$f":"IF((E206-hidden!M216)^2+(E207-hidden!N216)^2+(E208-hidden!O216)^2=0,\"korrekt!\",\"\")","v":""}]
[]
[]
[{"$f":"hidden!E230","v":"Aufgabe 3 (kubische Funktion, d gegeben)"}]
[null,null,null,null,null,null,null,null,"Frage: Was ist x^3??",null,null,null,"Das \"^\" steht für \"hoch\". x^2 ist also x². x^3 ist x³"]
[null,"Gesucht ist eine kubische Funktion",null,null,null,null,null,null,"Glossar: Steckbriefaufgabe"]
[null,"f(x)=a x^3 + b x^2 + c x + d","(x^3=x³, x^2=x²)"]
[null,{"$f":"\"Der Graph geht durch (0|\"&hidden!P232&\")\"","v":"Der Graph geht durch (0|1)"}]
[null,{"$f":"\"und durch \"&\"(\"&hidden!P230&\"|\"&hidden!P233&\")\"","v":"und durch (-2|-3)"}]
[null,{"$f":"\"und durch \"&\"(\"&hidden!P231&\"|\"&hidden!P234&\")\"","v":"und durch (-1|0,5)"}]
[null,{"$f":"\"und durch \"&\"(\"&hidden!P232&\"|\"&hidden!P235&\")\"","v":"und durch (1|2,5)"}]
[]
[null,{"$f":"\"Gib die Gleichung an, die sich aus dem  Punkt (\"&hidden!P230&\"|\"&hidden!P233&\") ergibt, wenn man c abzieht. Teile noch nicht durch \" &ABS(hidden!P230)&\".\"","v":"Gib die Gleichung an, die sich aus dem  Punkt (-2|-3) ergibt, wenn man c abzieht. Teile noch nicht durch 2."}]
[null,"(Bitte in der Form 8a+4b+2c+d=45 angeben - nur mit den richtigen Zahlen! Ohne Leerzeichen!)"]
[null,null,null,null,null,null,{"$f":"IF(B222=hidden!R233,\"genau richtig!\",\"\")","v":""}]
[null,"Mach dir keinen Kopf, wenn du diesmal kein \"korrekt\" bekommst:"]
[null,"Hier gibt es zu viele korrekte Möglichkeiten - nicht alle werden erkannt!"]
[null,"Berechne a, b und c ",null,"a="]
[null,null,null,"b="]
[null,null,null,"c=",null,null,{"$f":"IF((E225-hidden!M233)^2+(E226-hidden!N233)^2+(E227-hidden!O233)^2+(E228-hidden!L233)^2=0,\"ganz genau!\",\"\")","v":""}]
[null,"(d brauchst du nur ohne Rechnen hinzuschreiben)",null,"d="]
[]
[]
[{"$f":"A175+1","v":6},"Das Muster der Steigungen"]
[]
["Aufgabe 1","Gegeben ist die quadratische Funktion f mit dem Funktionsterm",null,null,null,null,null,null,"Wenn du einfache Beispiele untersuchen möchtest, "]
[null,{"$f":"hidden!E258","v":" x^2  + 4 x  + 6"},null,null,null,null,null,null,"die dir ermöglichen, selbst hinter das Prinzip zu kommen,"]
[null,null,null,null,null,null,null,null,"schalte mal auf die Schüler*innennummern"]
[null,{"$f":"hidden!E263","v":"Vervollständige die Tabelle, "},null,null,null,null,null,null,"40, 41, …49"]
[null,{"$f":"hidden!E264","v":"indem du zu den angegebenen Stellen"}]
[null,{"$f":"hidden!E265","v":"jeweils die Steigung näherungsweise "}]
[null,{"$f":"hidden!E266","v":"berechnest und einträgst."},null,null,null,null,null,null,"Tipp: lokale Steigung näherungsweise berechnen"]
[null,null,"Steigung f´(x)"]
[null,"Stelle x","an dieser Stelle"]
[null,{"$f":"hidden!M257","v":-3},null,{"$f":"hidden!R257","v":""},null,null,null,null,{"$f":"IF(ISBLANK(C242),\"\",\"also wurde nun der Punkt (\"&B242&\"|\"&C242&\") ins Diagramm eingefügt.\")","v":""}]
[null,{"$f":"hidden!M258","v":-1},null,{"$f":"hidden!R258","v":""},null,null,null,null,{"$f":"IF(ISBLANK(C243),\"\",\"also wurde nun der Punkt (\"&B243&\"|\"&C243&\") ins Diagramm eingefügt.\")","v":""}]
[null,{"$f":"hidden!M259","v":1},null,{"$f":"hidden!R259","v":""},null,null,null,null,{"$f":"IF(ISBLANK(C244),\"\",\"also wurde nun der Punkt (\"&B244&\"|\"&C244&\") ins Diagramm eingefügt.\")","v":""}]
[null,{"$f":"hidden!M260","v":3},null,{"$f":"hidden!R260","v":""},null,null,null,null,{"$f":"IF(ISBLANK(C245),\"\",\"also wurde nun der Punkt (\"&B245&\"|\"&C245&\") ins Diagramm eingefügt.\")","v":""}]
[null,"Sobald du Werte in die Tabelle einträgst, "]
[null,"werden rechts im Diagramme die Punkte (Stelle; Steigung) eingetragen."]
[]
[null,"Deine Punkte (im Diagramm blau) ergeben ein Muster.",null,null,null,null,null,null,"Tipp: Wenn alle Punkte richtig sind, such dir zwei aus"]
[null,"Stell die zugehörige Funktionsgleichung auf.",null,null,null,null,null,null,"und bestimme die Gleichung der …, die dadurch geht."]
["y=",null,null,{"$f":"hidden!R272","v":""},null,null,null,null,"Hintergrundinfos",null,null,null,null,null,"vorgerechnetes Beispiel"]
[null,"Gib dabei keine Leerzeichen und keinen Malpunkt ein. Starte nicht mit \"g(x)=\", sondern trag nur den Term ein.",null,null,null,null,null,null,null,null,null,null,null,null,"Training"]
[]
[]
[{"$f":"A231+1","v":7},"Differentialrechnung",null,null,null,null,null,null,"Erklärfilm zum grafischen Ableiten"]
[{"$f":"hidden!E277","v":"Aufgabe 1 (grafisches  Ableiten)"}]
[null,null,null,null,null,null,null,null,"Erklärfilm",null,null,null,null,null,null,"Erklärfilm zu dieser Aufgabe",null,null,"zur Aufgabe (Film auf youtube)"]
["a)","Gegeben ist der Graph der Funktion f"]
[null,null,null,null,null,null,null,null,"Tipps",null,null,null,null,null,null,"CoronaMathe","HowToMathe"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"mathehoch13","DanielJung"]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Welches ist der Graph der Ableitung von f?"]
[null,"Buchstabe:",null,{"$f":"hidden!I307","v":""}]
[null,"Begründung",{"$f":"hidden!I308","v":""}]
[]
[]
[]
[]
[null,"A                                             B",null,null,"C"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"D                                           E"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erklärfilm zu dieser Aufgabe",null,null,"zur Aufgabe (Film auf youtube)"]
["b)","Gegeben ist der Graph der Funktion f",null,null,null,null,null,null,"Erklärfilm zum grafischen Ableiten"]
[null,null,null,null,null,null,null,null,"Tipps",null,null,null,null,null,null,"CoronaMathe","HowToMathe"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"mathehoch13","DanielJung"]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Welches ist der Graph der Ableitung von f?"]
[null,"Buchstabe:",null,{"$f":"hidden!I341","v":""}]
[null,"Begründung",{"$f":"hidden!I342","v":""}]
[]
[]
[null,"A                                             B",null,null,"C"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"D                                           E"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Aufgabe erläutert",null,"zur Aufgabe (Film auf youtube)"]
[{"$f":"hidden!E351","v":"Aufgabe 2 (ganzrationale Funktionen ableiten)"},null,null,null,null,null,null,null,"Erklärfilm",null,null,null,"(zur Potenzregel)",null,null,null,"DanielJung","Mathehoch13"]
[]
[{"$f":"hidden!J358","v":"a)"},{"$f":"hidden!L358","v":"Gegeben ist die Funktion g mit"}]
[null,{"$f":"hidden!L359","v":"g(x)= 4 x^2  - 4 x  + 6"}]
[null,"Gib dabei keine Leerzeichen und keinen Malpunkt ein. Starte nicht mit \"g´(x)=\", sondern trag nur den Term ein.",null,null,null,null,null,null,"Glossar: Potenzregel"]
[null,{"$f":"hidden!L364","v":"Gib die Ableitung an."}]
[{"$f":"hidden!K365","v":"g´(x)="},null,null,null,null,null,{"$f":"hidden!T365","v":""}]
[]
[{"$f":"hidden!J367","v":"b)"},{"$f":"hidden!L367","v":"Gegeben ist die Funktion h mit"}]
[null,{"$f":"hidden!L368","v":"h(x) = -2x^3 - 3 x^2 - x  - 4"}]
[]
[null,{"$f":"hidden!L370","v":"Gib die Ableitung an."}]
[{"$f":"hidden!K371","v":"h´(x)="},null,null,null,null,null,{"$f":"hidden!T371","v":""}]
[]
[{"$f":"hidden!J373","v":"c)"},{"$f":"hidden!L373","v":"Gegeben ist die Funktion f mit"}]
[null,{"$f":"hidden!L374","v":"f(x) = 5x^6-10x^2+37"}]
[]
[null,{"$f":"hidden!L376","v":"Gib die Ableitung an."}]
[{"$f":"hidden!K377","v":"f´(x)="},null,null,null,null,null,{"$f":"hidden!T377","v":""}]
[]
[{"$f":"hidden!J379","v":"d)"},{"$f":"hidden!L379","v":"Jetzt mal das Gegenteil: Gegeben ist k´ mit"}]
[null,{"$f":"hidden!L380","v":"k´(x) = -6x^2-6x-1"}]
[]
[null,{"$f":"hidden!L382","v":"Gib die Funktion k mit y-Achsenabschnitt Null an, deren Ableitung k´ist."}]
[{"$f":"hidden!K383","v":"k(x)="},null,null,null,null,null,{"$f":"hidden!T383","v":""}]
[]
[]
[]
[{"$f":"hidden!E424","v":"Aufgabe 3 (quadratische Funktion mit Differentialrechnung)"}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Aufgabe vorgerechnet",null,null,null,null,"zur Aufgabe (Film auf youtube)"]
[null,{"$f":"hidden!L430","v":"Gegeben ist die Funktion f mit"}]
[null,{"$f":"hidden!L431","v":"f(x)=2 x^2  + 16 x  + 24"}]
[]
[{"$f":"hidden!I460","v":"a)"},{"$f":"hidden!L433","v":"Gib die Gleichung der Ableitungsfunktion an: f´(x)="},null,null,null,null,{"$f":"hidden!T433","v":""},null,"Hintergrundinfos"]
[null,"Gib dabei keine Leerzeichen und keinen Malpunkt ein. Starte nicht mit \"f´(x)=\", sondern trag nur den Term ein."]
[{"$f":"hidden!I462","v":"b)"},{"$f":"hidden!L435","v":"Gib die Gleichung der zweiten Ableitung an: f´´(x)="},null,null,null,null,{"$f":"hidden!T435","v":""},null,"Glossar: 2. Ableitung"]
[]
[{"$f":"hidden!I464","v":"c)"},{"$f":"hidden!L437","v":"Welchen Wert nimmt f an der Stelle -1 an?"},null,null,null,null,{"$f":"hidden!T437","v":""},null,"Tipp Stelle, Wert und Steigung"]
[null,null,null,null,null,null,null,null,"Wie man quadr. Gleichungen löst: Siehe oben unter "]
[{"$f":"hidden!I466","v":"d)"},{"$f":"hidden!L439","v":"Welche Steigung hat f an der Stelle -4?"},null,null,null,null,{"$f":"hidden!T439","v":""},null,"Kap. 2) quadratische Gleichungen, Aufg.5 (Normalform)"]
[]
[{"$f":"hidden!I468","v":"e)"},{"$f":"hidden!L441","v":"An welcher Stelle hat f die Steigung 36?"},null,null,null,null,{"$f":"hidden!T441","v":""}]
[]
[null,null,null,null,{"$f":"IF(E383>E384,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E383>E384,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "}]
[{"$f":"hidden!I471","v":"f)"},{"$f":"hidden!L444","v":"Berechne die Nullstellen."},null,null,null,null,{"$f":"hidden!T444","v":""},null,"Glossar: Nullstelle"]
[null,null,null,null,null,null,{"$f":"hidden!T445","v":""}]
[]
["g)",{"$f":"hidden!L447","v":"Berechne die Extremstellen (erst nur notw. Bed.)."},null,null,null,null,{"$f":"hidden!T447","v":""}]
[null,null,"Zahl",">0 oder <0","Maximalstelle oder Minimalstelle"]
[null,{"$f":"hidden!L449","v":"hinr.Bed:        f´´( )="}]
[null,null,{"$f":"hidden!Q450","v":""},{"$f":"hidden!R450","v":""},{"$f":"hidden!S450","v":""}]
[]
[]
[]
[{"$f":"hidden!E451","v":"Aufgabe 4 (kubische Funktion mit Differentialrechnung)"}]
[]
[null,{"$f":"hidden!L457","v":"Gegeben ist die Funktion f mit"},null,null,null,null,null,null,null,null,null,null,null,null,"Aufgabe vorgerechnet",null,null,"zur Aufgabe (Film auf youtube)"]
[null,{"$f":"hidden!L458","v":"f(x)=-0,5x^3 - 4,5 x^2  - 12 x  + 4"}]
[]
[{"$f":"hidden!I460","v":"a)"},{"$f":"hidden!L460","v":"Gib die Gleichung der Ableitungsfunktion an: f´(x)="},null,null,null,null,{"$f":"hidden!T460","v":""},null,"Hintergrundinfos"]
[null,"Gib dabei keine Leerzeichen und keinen Malpunkt ein. Starte nicht mit \"f´(x)=\", sondern trag nur den Term ein.",null,null,null,null,null,null,"Erklärfilm",null,null,null,null,null,"Playlist Mathehoch13"]
[{"$f":"hidden!I462","v":"b)"},{"$f":"hidden!L462","v":"Gib die Gleichung der zweiten Ableitung an: f´´(x)="},null,null,null,null,{"$f":"hidden!T462","v":""},null,"Glossar: 2. Ableitung"]
[]
[{"$f":"hidden!I464","v":"c)"},{"$f":"hidden!L464","v":"Welchen Wert nimmt f an der Stelle -1 an?"},null,null,null,null,{"$f":"hidden!T464","v":""},null,"Tipp Stelle, Wert und Steigung"]
[null,null,null,null,null,null,null,null,"Wie man quadr. Gleichungen löst: Siehe oben unter "]
[{"$f":"hidden!I466","v":"d)"},{"$f":"hidden!L466","v":"Welche Steigung hat f an der Stelle 3?"},null,null,null,null,{"$f":"hidden!T466","v":""},null,"Kap. 2) quadratische Gleichungen, Aufg.5 (Normalform)"]
[]
[{"$f":"hidden!I468","v":"e)"},{"$f":"hidden!L468","v":"An welcher Stelle hat f die Steigung -52,5?"},null,null,null,null,{"$f":"hidden!T468","v":""}]
[null,null,null,null,null,null,{"$f":"hidden!T469","v":""}]
[null,null,null,null,{"$f":"IF(E409>E410,\"HALLO! ->\",\"\")&\"Bitte die kleinere Zahl oben eintragen. \"&IF(E409>E410,\"Momentan steht die größere Zahl oben.\",\"\")","v":"Bitte die kleinere Zahl oben eintragen. "},null,null,null,null,null,null,null,null,null,"mathebaustelle",null,null,"zur Aufgabe (Film auf youtube)"]
[{"$f":"hidden!I471","v":"f)"},{"$f":"hidden!L471","v":"Berechne die Extremstellen (erst nur notw. Bed.)."},null,null,null,null,{"$f":"hidden!T471","v":""},null,"Glossar: Extremstelle",null,null,null,null,null,"Glossar: notw. Bed. Extremstelle"]
[null,null,null,null,null,null,{"$f":"hidden!T472","v":""},null,null,null,null,null,null,null,"vorgerechnetes Beispiel"]
[null,null,"Zahl",">0 oder <0","Maximalstelle oder Minimalstelle"]
[null,{"$f":"hidden!L474","v":"hinr.Bed:        f´´( )="},null,null,null,null,null,null,null,null,null,null,null,null,"Glossar: hinr. Bed. Extremstelle"]
[null,null,{"$f":"hidden!Q475","v":""},{"$f":"hidden!R475","v":""},{"$f":"hidden!S475","v":""},null,null,null,null,null,null,null,null,null,"MathemaTrick",null,"DanielJung","m^13 (1)","m^13 (2)","(Filme auf youtube)"]
[null,{"$f":"hidden!L476","v":"hinr.Bed:        f´´( )="}]
[null,null,{"$f":"hidden!Q477","v":""},{"$f":"hidden!R477","v":""},{"$f":"hidden!S477","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"mathebaustelle",null,null,"zur Aufgabe (Film auf youtube)"]
[{"$f":"hidden!I479","v":"g)"},{"$f":"hidden!L479","v":"Berechne die Wendestelle (erst nur notw. Bed.)."},null,null,null,null,{"$f":"hidden!T479","v":""},null,"Glossar: Wendestelle",null,null,null,null,null,"Glossar: notw. Bed. Wendestelle"]
[null,null,"Zahl",">0 oder <0","L-R-Wendesrtelle oder R-L-Wendestelle"]
[null,{"$f":"hidden!L480","v":"hinr.Bed:        f´´´( )="},null,null,null,null,null,null,null,null,null,null,null,null,"Glossar: hinr. Bed. Wendestelle"]
[null,null,{"$f":"hidden!Q481","v":""},{"$f":"hidden!R481","v":""},{"$f":"hidden!S481","v":""}]
[null,{"$f":"hidden!L483","v":"und den Wendepunkt (…;…):"},null,null,null,null,{"$f":"hidden!T483","v":""},null,null,null,null,null,null,null,"vorgerechnetes Beispiel"]
[null,"keine Leerzeichen eintragen!",null,null,null,null,null,null,null,null,null,null,null,null,"DanielJung",null,"m^13 (1)","m^13 (2)","(Filme auf youtube)"]
[]
[{"$f":"A255+1","v":8},"Umgang mit dem CAS",null,null,null,null,null,null,null,null,null,"geht aber eigentlich in diesen Fällen"]
[null,null,null,null,null,null,null,null,null,null,null,"auch händisch!"]
[null,null,null,null,null,null,null,null,"Aufgaben mit dem TI-Nspire CAS lösen:"]
["Aufgabe 1","Gegeben ist die ganzrationale Funktion f mit",null,null,null,null,null,null,"Erklärfilm",null,null,null,"zur Aufgabe (Film auf youtube)"]
[null,{"$f":"\"f(x)=\"&hidden!E490","v":"f(x)=1/200*( x^5  - 14 x^4  + 49x^3)"}]
[null,"Die Definitionsmenge ist aus dem Diagramm",null,null,null,null,null,null,"Definitionsmenge",null,null,"ist hier der Bereich auf der x-Achse"]
[null,"abzulesen",null,null,null,null,null,null,null,null,null,"zwischen den Nullstellen."]
[null,null,null,null,null,null,null,null,"Erklärfilme im Einzelnen:"]
[null,null,null,null,null,null,null,null,"Funktion eingeben"]
[null,"Berechne mit CAS ",null,null,null,null,null,null,"Gleichungen lösen (Nullstellen)"]
[null,"auf eine Nachkommastelle genau:",null,null,null,null,null,null,"Extrempunkte"]
[null,"(also: richtig runden!)",null,null,null,null,null,null,"Wendepunkte"]
[]
["a)",{"$f":"hidden!L497","v":"Welchen Wert nimmt f an der Stelle 2 an?"},null,null,null,null,{"$f":"hidden!T497","v":""},null,"Eingabe Funktion und Funktionswert",null,null,null,null,null,null,"Tipp Stelle, Wert und Steigung"]
[]
["b)",{"$f":"hidden!L499","v":"An welcher Stelle der Definitionsmenge nimmt f"},null,null,null,null,{"$f":"hidden!T499","v":""},null,null,{"$f":"hidden!U497","v":""},"Lösung Gleichungen mit CAS"]
[null,{"$f":"hidden!L500","v":"den Wert 3 an?"},null,null,null,null,{"$f":"IF(ISBLANK(E440),\"\",hidden!T500)","v":""},null,null,{"$f":"hidden!U498","v":""}]
[]
["c)",{"$f":"hidden!L502","v":"Berechne die Steigung von f im Bereich [2;6]."},null,null,null,null,{"$f":"hidden!T502","v":""},null,"Steigung im Bereich=mittlere Änderungsrate",null,null,null,null,null,null,null,"Mathehoch13"]
[]
[]
["d)",{"$f":"hidden!L505","v":"Berechne die Steigung von f an der Stelle 4."},null,null,null,null,{"$f":"hidden!T505","v":""},null,null,null,null,null,null,null,null,null,"Tipp: lokale Steigung näherungsweise berechnen"]
[]
["e)",{"$f":"hidden!L507","v":"Berechne, an welcher Stelle f die Steigung 1,08 hat."},null,null,null,null,{"$f":"hidden!T507","v":""}]
[null,null,null,null,null,null,{"$f":"hidden!T508","v":""}]
[]
[]
[null,"CAS-Aufgabe Zeit-Weg-Funktion"]
[]
["Aufgabe 2","Gegeben ist die Zeit-Weg-Funktion s mit",null,null,null,null,null,null,"Erklärfilme im Einzelnen:",null,null,null,null,"(Filme auf youtube)"]
[null,{"$f":"\"w(x)=\"&hidden!E509","v":"w(x)=1/400*( x^5  - 24 x^4  + 144x^3)"},null,null,null,null,null,null,"Funktion eingeben"]
[null,"Die Definitionsmenge ist aus dem Diagramm",null,null,null,null,null,null,"Gleichungen lösen (Nullstellen)"]
[null,"abzulesen. x: Zeit in s, w(x): Abstand vom",null,null,null,null,null,null,"Extrempunkte"]
[null,"Startpunkt in m.",null,null,null,null,null,null,"Wendepunkte"]
[]
[null,"Berechne mit CAS "]
[null,"auf eine Nachkommastelle genau:"]
[null,"(also: richtig runden!)"]
[]
["a)",{"$f":"hidden!L514","v":"Berechne den Abstand zum Startpunkt "},null,null,null,"m",{"$f":"hidden!T514","v":""},null,"Eingabe Funktion und Funktionswert"]
[null,{"$f":"hidden!L515","v":"nach 2 s."}]
["b)",{"$f":"hidden!L516","v":"Wann hat der Körper einen Abstand"},null,null,null,null,{"$f":"hidden!T516","v":""},null,null,{"$f":"hidden!U516","v":""},"Lösung Gleichungen mit CAS"]
[null,{"$f":"hidden!L517","v":"von 3 m vom Startpunkt?"},null,null,null,null,{"$f":"IF(ISBLANK(E466),\"\",hidden!T517)","v":""},null,null,{"$f":"hidden!U517","v":""}]
[null,null,null,null,"mit Vorzeichen eingeben!"]
["c)",{"$f":"hidden!L519","v":"Berechne die mittlere Geschwindigkeit"},null,null,null,"m/s",{"$f":"hidden!T519","v":""},null,"Steigung im Bereich=mittlere Änderungsrate"]
[null,{"$f":"hidden!L520","v":"im Zeitraum [2;10]."}]
[null,"Wenn der Körper sich rückwärts bewegt, nimm die negative Zahl!",null,null,"mit Vorzeichen eingeben!"]
["d)",{"$f":"hidden!L522","v":"Berechne die (Momentan-)Geschwindigkeit nach 2 s."},null,null,null,"m/s",{"$f":"hidden!T522","v":""},null,null,null,null,null,null,null,null,null,"Tipp: lokale Steigung näherungsweise berechnen"]
[null,"Wenn der Körper sich rückwärts bewegt, nimm die negative Zahl!"]
["e)",{"$f":"hidden!L524","v":"Berechne, wann eine Geschwindigkeit "},null,null,null,"s",{"$f":"hidden!T524","v":""}]
[null,{"$f":"hidden!L525","v":"von 0,54 m/s erreicht ist."},null,null,null,"s",{"$f":"hidden!T525","v":""}]
[null,"(positive Geschwindigkeit bedeutet: Bewegung nach vorn, negative: zurück)"]
[null,null,null,null,"m"]
[10,"Zufallsvariablen",null,null,null,null,null,null,null,"Playlist Mathehoch13"]
[]
[]
[]
[null,{"$f":"hidden!L553","v":"Ein Glücksspiel wird angeboten, bei dem Glücksrad gedreht wird."}]
[null,{"$f":"hidden!L554","v":"Das Glücksrad zeigt…"}]
[null,{"$f":"hidden!L555","v":" mit einer Wahrscheinlichkeit von 3/14 Rot und du gewinnst 6 €."}]
[null,{"$f":"hidden!L556","v":" mit einer Wahrscheinlichkeit von 5/14 Grün und du gewinnst 8 €."}]
[null,{"$f":"hidden!L557","v":" mit einer Wahrscheinlichkeit von 3/14 Gelb und du gewinnst 8 €."}]
[null,{"$f":"hidden!L558","v":" mit einer Wahrscheinlichkeit von 3/14 Blau und du gewinnst 0 €."}]
[]
[{"$f":"hidden!I561","v":"a)"},{"$f":"hidden!L561","v":"Berechne den durchschnittlich zu erwartenden Gewinn."}]
[null,{"$f":"hidden!L562","v":"(bei Verlust: negative Zahl eintragen)."},null,null,null,null,{"$f":"hidden!T562","v":""},null,null,"Mathehoch13"]
[]
[{"$f":"hidden!I564","v":"b)"},{"$f":"hidden!L564","v":"Berechne die Varianz der Zufallsvariabel \"Gewinn\"."},null,null,null,null,{"$f":"hidden!T564","v":""},null,null,"Mathehoch13"]
[]
[{"$f":"hidden!I566","v":"c)"},{"$f":"hidden!L566","v":"Berechne die Wahrscheinlichkeit, mindestens 4 € zu gewinnen."},null,null,null,null,{"$f":"hidden!T566","v":""}]
[]
[]
[]
[]
[]
[]
[]
[11,"Binomialverteilung",null,null,null,null,null,null,"Glossar: Binomialverteilung",null,null,null,null,null,"Playlist Mathehoch13"]
[null,null,null,null,null,null,null,null,"Anleitung : TI-Nspire"]
[null,"Ergebnis bitte als Wahrscheinlichkeit (nicht prozentual) und auf drei Nachkommastellen gerundet."]
[]
["Aufgabe 1",{"$f":"hidden!L580","v":"Ein Produkt ist erfahrungsgemäß mit einer Wahrscheinlichkeit von 0,07 defekt."}]
[null,{"$f":"hidden!L581","v":"Eine Charge von 300 Produkten wird hergestellt."}]
[null,{"$f":"hidden!L582","v":"Berechne die Wahrscheinlichkeit, dass …"}]
[]
[{"$f":"hidden!I584","v":"a)"},{"$f":"hidden!L584","v":"... sich darunter genau 21 defekte Produkte befinden."},null,null,null,null,{"$f":"hidden!T584","v":""}]
[]
[{"$f":"hidden!I586","v":"b)"},{"$f":"hidden!L586","v":"... sich darunter höchstens 10 defekte Produkte befinden."},null,null,null,null,{"$f":"hidden!T586","v":""}]
[]
[{"$f":"hidden!I588","v":"c)"},{"$f":"hidden!L588","v":"... sich darunter mindestens 20, aber höchstens 22"}]
[null,{"$f":"hidden!L589","v":"defekte Produkte befinden."},null,null,null,null,{"$f":"hidden!T589","v":""}]
[]
[{"$f":"hidden!I591","v":"d)"},{"$f":"hidden!L591","v":"... sich darunter mehr als 19 aber weniger als 24 "}]
[null,{"$f":"hidden!L592","v":"defekte Produkte befinden."},null,null,null,null,{"$f":"hidden!T592","v":""}]
[]
[{"$f":"hidden!I594","v":"e)"},{"$f":"hidden!L594","v":"… die ersten beiden getesteten Produkte intakt sind und sich unter"}]
[null,{"$f":"hidden!L595","v":"den anderen genau 22 defekte Produkte befinden."},null,null,null,null,{"$f":"hidden!T595","v":""}]
[]
[{"$f":"hidden!I597","v":"f)"},{"$f":"hidden!L597","v":"Berechne, wie viele defekte Produkte "}]
[null,{"$f":"hidden!L598","v":"im Schnitt zu erwarten sind."},null,null,null,null,{"$f":"hidden!T598","v":""}]
[null,{"$f":"hidden!L599","v":"Berechne die Varianz"},null,null,null,null,{"$f":"hidden!T599","v":""}]
[null,{"$f":"hidden!L600","v":"und die Standardabweichung."},null,null,null,null,{"$f":"hidden!T600","v":""}]
[]
[{"$f":"hidden!I602","v":"g)"},{"$f":"hidden!L602","v":"Berechne die Wahrscheinlichkeit, dass …"}]
[null,{"$f":"hidden!L603","v":"… die Anzahl der defekten Produkte um weniger als"}]
[null,{"$f":"hidden!L604","v":"die Standardabweichung vom Erwartungswert abweicht."},null,null,null,null,{"$f":"hidden!T604","v":""}]
[]
[]
[]
[12,"Erwartungswert und Streuung"]
[null,"… Varianz muss man zu schätzen wissen",null,null,null,null,null,null,"(Film auf youtube)",null,null,"DanielJung",null,null,"erklärt Erwartungswert, Varianz unf Standardabweichung"]
[null,null,null,null,null,null,null,null,"Glossar: arithmetisches Mittel"]
[null,"Es wurde eine Messreihe mit 50 Einzelversuchen durchgeführt:",null,null,null,null,null,null,"Glossar: Erwartungswert"]
[null,{"$f":"hidden!E610","v":"(59; 65; 61; 59; 63; 60; 63; 61; 66; 64; 64; 60; 63; 58; 60; 60; 61; 62; 59; 62; 63; 66; 63; 59; ...)"},null,"(hier nur die ersten Einzelergebnisse)",null,null,null,null,"Glossar: Varianz"]
[null,"Dies bildet unsere Grundgesamtheit.",null,null,null,null,null,null,"(Film auf youtube)",null,null,"CodeWithFloW",null,null,null,"KurzesTutoriumStatistik"]
[null,"Du sollst Erwartungswert und Varianz dieser Grundgesamtheit näherungsweise bestimmen."]
[]
["a)","Dazu ziehst du in einem Zufallsversuch "]
[null,{"$f":"\"zunächst zwei Elemente der Grundgesamtheit: \"&hidden!E611","v":"zunächst zwei Elemente der Grundgesamtheit: (59; 64)"},null,null,"Runde auf zwei Nachkommastellen."]
[null,"Berechne aus den beiden Werten das arithmetische Mittel.",null,null,null,null,{"$f":"hidden!T611","v":""}]
[null,"Berechne aus den beiden Werten die Varianz.",null,null,null,null,{"$f":"hidden!T612","v":""}]
[null,"Berechne aus den beiden Werten die Standardabweichung.",null,null,null,null,{"$f":"hidden!T613","v":""}]
["b)","Nun ziehst du in einem weiteren Zufallsversuch zwei weitere Elemente "]
[null,{"$f":"\"und nimmst sie zu den ersten beiden: \"&hidden!E616","v":"und nimmst sie zu den ersten beiden: (59; 64; 64; 64)"},null,null,"Runde auf zwei Nachkommastellen."]
[null,"Berechne aus den vier Werten das arithmetische Mittel.",null,null,null,null,{"$f":"hidden!T616","v":""}]
[null,"Berechne aus den vier Werten die Varianz.",null,null,null,null,{"$f":"hidden!T617","v":""}]
[null,"Berechne aus den beiden Werten die Standarsabweichung.",null,null,null,null,{"$f":"hidden!T618","v":""}]
[]
[null,{"$f":"\"Das arithmetische Mittel der Grundgesamtheit ist übrigens \"&hidden!S621&\". \"","v":"Das arithmetische Mittel der Grundgesamtheit ist übrigens 61,68. "}]
[null,"Liegst du mit deinen Rechenergebnissen von oben darüber oder darunter?"]
[null,{"$f":"\"Die Varianz der Grundgesamtheit ist übrigens \"&hidden!S622&\".\"","v":"Die Varianz der Grundgesamtheit ist übrigens 5,04."}]
[null,"Liegst du mit deinen Rechenergebnissen von oben darüber oder darunter?"]

{"sheet":"mehr Aufgaben","index":1,"n_rows":273,"n_cols":18,"rows_kept":273,"cut":false,"hidden":false,"merged":[]}
[{"$f":"Aufgaben!G3","v":"Hallo Klasse"}]
[9,"Baumdiagramme"]
[]
["a)","Vervollständige das Baumdiagramm.",null,null,null,"Runde die Ergebnisse auf vier Nachkommastellen."]
[]
[null,null,null,null,{"$f":"hidden!G758","v":3.2500000000000001E-2},"B"]
[null,null,null,null,null,null,{"$f":"hidden!I759","v":""}]
[null,null,{"$f":"hidden!E760","v":0.01},"A"]
[]
[]
[null,null,null,null,{"$f":"hidden!G763","v":""},null,{"$f":"hidden!I763","v":""}]
[null,null,null,null,null,"B"]
[null,null,null,null,{"$f":"hidden!G765","v":""},null,{"$f":"hidden!I765","v":""}]
[]
[null,null,{"$f":"hidden!E767","v":""}]
[null,null,null,null,{"$f":"hidden!G768","v":1.2500000000000001E-2}]
[null,null,null,null,null,null,{"$f":"hidden!I769","v":""}]
[]
[null,null,null,null,null,null,"(Ja / Nein)"]
["b)","Sind A und B stochastisch unabhängig?"]
[null,null,null,null,null,null,{"$f":"hidden!I773","v":""}]
["c)","Erstelle die zugehörige Vierfeldertafel."]
[]
[null,null,null,null,"B",null,"Summe"]
[null,null,null,"A"]
[]
[null,null,null,"Summe",null,null,1]
[null,null,null,null,{"$f":"hidden!G780","v":""},{"$f":"hidden!H780","v":""},{"$f":"hidden!I780","v":""}]
[]
["d) ","Erstelle den umgedrehten Baum."]
[]
[]
[]
[null,null,null,null,null,"A"]
[null,null,null,null,{"$f":"hidden!G787","v":""},null,{"$f":"hidden!I787","v":""}]
[null,null,null,"B"]
[null,null,{"$f":"hidden!E789","v":""}]
[]
[null,null,null,null,{"$f":"hidden!G791","v":""},null,{"$f":"hidden!I791","v":""}]
[null,null,null,null,null,"A"]
[null,null,null,null,{"$f":"hidden!G793","v":""},null,{"$f":"hidden!I793","v":""}]
[]
[null,null,{"$f":"hidden!E795","v":""}]
[]
[null,null,null,null,{"$f":"hidden!G797","v":""},null,{"$f":"hidden!I797","v":""}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Training dazu, Aufgabenstellungen zu verstehen"]
[]
[]
[]
[]
[20,"Vektorrechnung"]
[]
[{"$f":"hidden!E814","v":"Aufgabe 1 (Grundlagen in 2D)"}]
[]
[null,{"$f":"hidden!E817","v":"Gegeben sind die folgende Punkte:"},null,null,null,null,null,null,null,null,null,null,null,null,"Der blaue Pfeil verbindet A und B"]
[null,{"$f":"hidden!E818","v":"A(3;-8)"}]
[null,{"$f":"hidden!E819","v":"B(4;-13)"},null,null,null,null,null,null,null,null,null,null,null,null,"Der rote Pfeil verbindet C und D"]
[null,{"$f":"hidden!E820","v":"C(-6;-6)"}]
[null,{"$f":"hidden!E821","v":"D(-12;-8)"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erklärfilm zu 1a bis 1e",null,"Filme (auf youtube)"]
[null,null,null,null,null,null,null,{"$f":"hidden!K823","v":""}]
[{"$f":"hidden!C824","v":"a)"},{"$f":"hidden!E824","v":"Gib den Ortsvektor von A an."},null,null,null,null,null,{"$f":"hidden!K824","v":""},null,null,null,null,null,null,null,"Glossar Ortsvektor"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!G827","v":""}]
[{"$f":"hidden!C828","v":"b)"},{"$f":"hidden!E828","v":"Berechne den Vektor AB"},null,null,null,null,null,{"$f":"hidden!G828","v":""},null,null,null,null,null,null,null,"Glossar Verschiebungsvektor"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!G831","v":""}]
[{"$f":"hidden!C832","v":"c)"},{"$f":"hidden!E832","v":"Gib den Gegenvektor dazu an (BA)"},null,null,null,null,null,{"$f":"hidden!G832","v":""},null,null,null,null,null,null,null,"Glossar Gegenvektor"]
[]
[null,null,null,null,null,"mit Taschenrechner!"]
[{"$f":"hidden!C835","v":"d)"},{"$f":"hidden!E835","v":"Berechne die Länge |AB| "},null,null,null,null,null,{"$f":"hidden!G835","v":""},"(Das ist der Abstand von A und B)",null,null,null,null,null,null,"Glossar Betrag Vektor"]
[null,{"$f":"hidden!E836","v":"(Ergebnis auf eine Nachkommastelle genau,"},null,null,null,null,null,null,"Frage: Was ist x^2??"]
[null,{"$f":"hidden!E837","v":"sonst kriegst du keine Antwort)"}]
[null,null,null,null,null,null,null,{"$f":"hidden!G838","v":""}]
[{"$f":"hidden!C839","v":"e)"},{"$f":"hidden!E839","v":"Berechne AB + CD"},null,null,null,null,null,{"$f":"hidden!G839","v":""},null,null,null,null,null,null,null,"Glossar Addition Vektor"]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erklärfilm zu 1f",null,"Filme (auf youtube)"]
[{"$f":"hidden!C843","v":"f)"},{"$f":"hidden!E843","v":"Berechne die Linearkombination"},null,null,null,null,null,{"$f":"hidden!G842","v":""},null,null,null,null,null,null,null,"Glossar Linearkombination"]
[null,{"$f":"hidden!E844","v":"4AB-2CD"},null,null,null,null,null,{"$f":"hidden!G843","v":""}]
[]
[null,null,null,null,null,null,null,null,"Frage: Was ist x^2??",null,null,null,null,null,null,"Erklärfilm zu 1g",null,"Filme (auf youtube)"]
[null,null,null,null,null,{"$f":"hidden!F847","v":-14},null,null,null,null,null,null,null,null,null,"Tipp: Mach zwei einzelne Gleichungen draus!"]
[{"$f":"hidden!C848","v":"g)"},{"$f":"hidden!E848","v":"Berechne k und s so, dass 4AB +k*CD ="},null,null,null,"s","k=",null,{"$f":"hidden!H848","v":""},null,null,null,null,null,null,"Tipps zu ähnlicher Aufgabe"]
[null,null,null,null,null,null,"s=",null,{"$f":"hidden!H849","v":""}]
[]
[{"$f":"hidden!C851","v":"h)"},{"$f":"hidden!E851","v":"Gegeben ist P(p1|-8). Die Koordinate p1 fehlt leider."},null,null,null,null,null,"kleinere Lösung oben eintragen!"]
[null,{"$f":"hidden!E852","v":"Berechne p1 so, dass |OP|=9,434"},null,null,null,null,"p1=",null,{"$f":"hidden!H852","v":""}]
[null,{"$f":"hidden!E853","v":"(OP ist der Ortsvektor von P)"},null,null,null,null,"oder p1=",null,{"$f":"hidden!H853","v":""}]
[null,{"$f":"hidden!E854","v":"(Runde auf ein ganzahliges Ergebnis)"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"hidden!E864","v":"Aufgabe 2 (Grundlagen in 3D)"}]
[]
[null,{"$f":"hidden!E867","v":"Gegeben sind die folgende Punkte:"}]
[null,{"$f":"hidden!E868","v":"A(2;4;-3)"}]
[null,{"$f":"hidden!E869","v":"B(11;-10;-4)"}]
[null,{"$f":"hidden!E870","v":"C(-13;-8;2)"}]
[null,{"$f":"hidden!E871","v":"D(-11;7;-3)"}]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!K873","v":""}]
[{"$f":"hidden!C874","v":"a)"},{"$f":"hidden!E874","v":"Gib den Ortsvektor von A an."},null,null,"OA=",null,null,{"$f":"hidden!K874","v":""},null,null,null,null,null,null,null,"Glossar Ortsvektor"]
[null,null,null,null,null,null,null,{"$f":"hidden!K875","v":""}]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!G877","v":""}]
[{"$f":"hidden!C878","v":"b)"},{"$f":"hidden!E878","v":"Berechne den Vektor AB"},null,null,"AB=",null,null,{"$f":"hidden!G878","v":""},null,null,null,null,null,null,null,"Glossar Verschiebungsvektor"]
[null,null,null,null,null,null,null,{"$f":"hidden!G879","v":""}]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!G881","v":""}]
[{"$f":"hidden!C882","v":"c)"},{"$f":"hidden!E882","v":"Gib den Gegenvektor dazu an (BA)"},null,null,"BA=",null,null,{"$f":"hidden!G882","v":""},null,null,null,null,null,null,null,"Glossar Gegenvektor"]
[null,null,null,null,null,null,null,{"$f":"hidden!G883","v":""}]
[]
[{"$f":"hidden!C885","v":"d)"},{"$f":"hidden!E885","v":"Berechne die Länge |AB| "},null,null,null,null,null,{"$f":"hidden!G885","v":""},null,null,null,null,null,null,null,"Glossar Betrag Vektor"]
[null,{"$f":"hidden!E886","v":"(Ergebnis auf eine Nachkommastelle genau,"}]
[null,{"$f":"hidden!E887","v":"sonst kriegst du keine Antwort)"}]
[null,null,null,null,null,null,null,{"$f":"hidden!G888","v":""}]
[{"$f":"hidden!C889","v":"e)"},{"$f":"hidden!E889","v":"Berechne AB + CD"},null,null,null,null,null,{"$f":"hidden!G889","v":""},null,null,null,null,null,null,null,"Glossar Addition Vektor"]
[]
[]
[]
[{"$f":"hidden!C893","v":"f)"},{"$f":"hidden!E893","v":"Berechne die Linearkombination"},null,null,null,null,null,{"$f":"hidden!G892","v":""},null,null,null,null,null,null,null,"Glossar Linearkombination"]
[null,{"$f":"hidden!E894","v":"4AB+2CD"},null,null,null,null,null,{"$f":"hidden!G893","v":""}]
[null,null,null,null,null,null,null,{"$f":"hidden!G894","v":""}]
[]
[null,null,null,null,null,{"$f":"hidden!F897","v":-26},null,null,null,null,null,null,null,null,null,"Tipp: Mach drei einzelne Gleichungen draus!"]
[{"$f":"hidden!C898","v":"g)"},{"$f":"hidden!E898","v":"Berechne k und s so, dass -2AB+k*CD ="},null,null,null,"s","k=",null,{"$f":"hidden!H898","v":""},null,null,null,null,null,null,"Tipps zu ähnlicher Aufgabe"]
[null,null,null,null,null,{"$f":"hidden!F899","v":22},"s=",null,{"$f":"hidden!H899","v":""}]
[]
[{"$f":"hidden!C901","v":"h)"},{"$f":"hidden!E901","v":"Gegeben ist P(p1;4;-3)"},null,null,null,null,"kleinere Lösung oben eintragen!"]
[null,{"$f":"hidden!E902","v":"Berechne die Koordinate p1 so, dass |OP|=5,831"},null,null,null,null,"p1=",null,{"$f":"hidden!H902","v":""}]
[null,{"$f":"hidden!E903","v":"(OP ist der Ortsvektor von P)"},null,null,null,null,"oder p1=",null,{"$f":"hidden!H903","v":""}]
[null,{"$f":"hidden!E904","v":"(Runde auf ein ganzahliges Ergebnis)"}]
[]
[]
[]
[]
[]
[{"$f":"hidden!E909","v":"Aufgabe 3 (Punkte auf einer Geraden)"}]
[]
[null,{"$f":"hidden!E912","v":"Gegeben sind die folgende Punkte:"}]
[null,{"$f":"hidden!E913","v":"P(-1;-6;2)"}]
[null,{"$f":"hidden!E914","v":"Q(-10;4;-4)"}]
[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!L918","v":""},null,null,null,null,null,null,null,"Glossar Ortsvektor"]
[{"$f":"hidden!C919","v":"a)"},{"$f":"hidden!E919","v":"Gib den Vektor OP an."},null,null,null,null,null,{"$f":"hidden!L919","v":""}]
[null,null,null,null,null,null,null,{"$f":"hidden!L920","v":""}]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!G922","v":""},null,null,null,null,null,null,null,"Glossar Verschiebungsvektor"]
[{"$f":"hidden!C923","v":"b)"},{"$f":"hidden!E923","v":"Berechne den Verbindungsvektor"},null,null,null,null,null,{"$f":"hidden!G923","v":""}]
[null,{"$f":"hidden!E924","v":"von P nach Q."},null,null,null,null,null,{"$f":"hidden!G924","v":""}]
[]
[null,null,null,null,null,null,null,{"$f":"hidden!G926","v":""}]
[{"$f":"hidden!C927","v":"c)"},{"$f":"hidden!E927","v":"Nimm OP und addiere 4mal PQ dazu."},null,null,null,null,null,{"$f":"hidden!G927","v":""}]
[null,null,null,null,null,null,null,{"$f":"hidden!G928","v":""}]
[{"$f":"hidden!C930","v":"d)"},{"$f":"hidden!E930","v":"Berechne t so,"},null,{"$f":"hidden!F930","v":-37}]
[null,null,{"$f":"hidden!E931","v":"dass OP+t*PQ= "},{"$f":"hidden!F931","v":34},null,null,null,{"$f":"hidden!G931","v":""}]
[null,null,null,{"$f":"hidden!F932","v":-22}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"hidden!E961","v":"Aufgabe 4 (Geraden)"}]
[]
[null,{"$f":"hidden!E964","v":"g ist die Gerade durch die beiden Punkte P und Q:"}]
[null,{"$f":"hidden!E965","v":"P(12;-28;5)"}]
[null,{"$f":"hidden!E966","v":"Q(6;-12;1)"}]
[]
[{"$f":"hidden!C973","v":"a)"},{"$f":"hidden!E973","v":"Gib eine Geradengleichung von g an."},null,null,null,null,null,null,null,null,null,null,null,null,null,"Man nennt das eine \"Parametergleichung\". Parameter ist nur ein Wort für Variable - hier für das t"]
[]
[]
[null,"g: x =",null,{"$f":"\"+  t* \"","v":"+  t* "},null,"  ;   t     IR",null,"Feedback gibt es erst, wenn die Vektoren",null,null,null,null,null,null,null,"Glossar Geradengleichung"]
[null,null,null,null,null,null,null,"komplett eingegeben sind!"]
[null,null,{"$f":"hidden!G977","v":""},null,{"$f":"hidden!I977","v":""},null,null,null,null,null,null,null,null,null,null,"Glossar Geradengleichung"]
[{"$f":"hidden!C979","v":"b)"},{"$f":"hidden!E979","v":"Gib eine andere Geradengleichung von g an (beide Vektoren neu!)"}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tipp: der erste Vektor muss nur \"auf der Gaerde liegen\". Setz in die obere Vektorgleichung eine beliebige Zahl für t ein…"]
[null,"g: x =",null,{"$f":"\"+  t* \"","v":"+  t* "},null,"  ;   t     IR",null,"Feedback gibt es erst, wenn die Vektoren"]
[null,null,null,null,null,null,null,"komplett eingegeben sind!",null,null,null,null,null,null,null,"Tipp: der zweite Vektor muss nur die gleiche Richtung haben wie der von oben. Nimm den \"alten\" Vektor mal irgendeiner Zahl ungleich Null."]
[null,null,{"$f":"hidden!G983","v":"ändern!"},null,{"$f":"hidden!I983","v":"ändern!"}]
[{"$f":"hidden!C985","v":"c)"},{"$f":"hidden!E985","v":"Wie nennt man den ersten der beiden Vektoren?"},null,null,null,null,null,null,{"$f":"hidden!G985","v":""}]
[]
[null,{"$f":"hidden!E987","v":"Wie nennt man den zweiten der beiden Vektoren?"},null,null,null,null,null,null,{"$f":"hidden!G987","v":""}]
[null,null,null,null,null,null,null,"Feedback gibt es erst, wenn die Antworten"]
[{"$f":"hidden!C989","v":"d)"},{"$f":"hidden!E989","v":"Untersuche, ob R auf der Geraden g liegt: R(-12;35;-11)"},null,null,null,null,null,"komplett eingegeben sind!"]
[null,{"$f":"hidden!E990","v":"Berechne t mit der \"oberen Gleichung\":"},null,null,null,"t=",null,null,{"$f":"hidden!G990","v":""},null,null,null,null,null,null,"also mit",{"$f":"hidden!O989","v":"+t*=-12"}]
[null,{"$f":"hidden!E991","v":"Passt das zur zweiten Gleichung?"},null,null,null,null,null,null,{"$f":"hidden!G991","v":""},null,null,null,null,null,null,"Dabei werden die ersten Koordinaten aus der Geradengleichung a) verwendet."]
[null,{"$f":"hidden!E992","v":"Passt das zur unteren Gleichung?"},null,null,null,null,null,null,{"$f":"hidden!G992","v":""}]
[null,{"$f":"hidden!E993","v":"Liegt R auf der Geraden?"},null,null,null,null,null,null,{"$f":"hidden!G993","v":""}]
[null,null,null,null,null,null,null,null,{"$f":"IF(I203=\"stimmt!\",IF(I204=\"stimmt!\",IF(I205=\"stimmt!\",IF(I206=\"stimmt!\",\"stimmt alles!\",\"\"),\"\"),\"\"),\"\")","v":""}]
[{"$f":"hidden!C997","v":"e)"},{"$f":"hidden!E997","v":"Berechne den Schnittpunkt von g mit der x2-x3-Achse (Spurpunkt)"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Glossar Spurpunkt"]
[]
[{"$f":"hidden!C1000","v":"f)"},{"$f":"hidden!E1000","v":"Berechne den Schnittpunkt von g mit der x1-x3-Achse (Spurpunkt)"}]
[null,null,null,null,null,null,null,null,{"$f":"hidden!I1001","v":""}]
[]
[{"$f":"hidden!C1003","v":"g)"},{"$f":"hidden!E1003","v":"Gegeben sind die beiden Geraden h und k:"}]
[]
[null,null,{"$f":"hidden!F1004","v":8},null,{"$f":"hidden!H1004","v":3},null,null,{"$f":"hidden!K1004","v":6},null,{"$f":"hidden!M1004","v":-1}]
[null,"h: x =",{"$f":"hidden!F1005","v":8},{"$f":"\"+  t* \"","v":"+  t* "},{"$f":"hidden!H1005","v":2},"  ; t     IR","k: x =",{"$f":"hidden!K1005","v":36},{"$f":"\"+  t* \"","v":"+  t* "},{"$f":"hidden!M1005","v":-8},"  ; t     IR",null,null,null,null,"Tipp: Benenne einen der Parameter um: s statt t!"]
[null,null,{"$f":"hidden!F1006","v":-11},null,{"$f":"hidden!H1006","v":-4},null,null,{"$f":"hidden!K1006","v":-11},null,{"$f":"hidden!M1006","v":2}]
[null,{"$f":"hidden!E1008","v":"Berechne die Parameter:"}]
[null,{"$f":"hidden!E1009","v":"Parameter von h:"},null,null,null,null,null,null,null,{"$f":"hidden!G1009","v":""}]
[null,{"$f":"hidden!E1010","v":"Parameter von k:"},null,null,null,null,null,null,null,{"$f":"hidden!G1010","v":""}]
[null,{"$f":"hidden!E1011","v":"Schnittpunkt:"},null,null,null,"S"]
[null,null,null,null,null,null,{"$f":"hidden!G1011","v":""},{"$f":"hidden!G1012","v":""},{"$f":"hidden!G1013","v":""}]
[]
[]
[]
[]
[]
[{"$f":"hidden!E1028","v":"Aufgabe 5 (Skalarprodukt und Winkel in 2D)"},null,null,null,null,null,null,null,null,null,null,null,null,null,"Der blaue Pfeil entspricht v"]
[]
[null,{"$f":"hidden!E1031","v":"Gegeben sind die folgende Vektoren:"},null,null,null,null,null,null,null,null,null,null,null,null,"Der rote Pfeil entspricht w"]
[null,null,{"$f":"hidden!F1032","v":2},null,{"$f":"hidden!H1032","v":11}]
[null,{"$f":"hidden!E1033","v":"v="},{"$f":"hidden!F1033","v":4},{"$f":"hidden!G1033","v":"w="},{"$f":"hidden!H1033","v":-13}]
[]
[]
[{"$f":"hidden!C1036","v":"a)"},{"$f":"hidden!E1036","v":"Berechne das Skalarprodukt v*w"},null,null,null,null,"v*w=",null,null,{"$f":"hidden!H1036","v":""},null,null,null,null,null,"Glossar Skalarprodukt"]
[]
[{"$f":"hidden!C1038","v":"b)"},{"$f":"hidden!E1038","v":"Bestimme irgendeinen Vektor z, der senkrecht zu v steht."},null,null,null,null,null,null,null,null,null,null,null,null,null,"(also orthogonal)"]
[null,{"$f":"hidden!E1039","v":"(und nicht der Nullvektor ist!)"}]
[null,null,null,null,null,null,"z=",null,null,{"$f":"hidden!H1040","v":"Das ist bisher der Nullvektor."},null,null,null,null,null,"Glossar Orthogonalität"]
[]
[{"$f":"hidden!C1042","v":"c)"},{"$f":"hidden!E1042","v":"Berechne k so, dass der Vektor u="},null,null,null,{"$f":"hidden!G1042","v":-13}]
[null,null,null,null,null,"k"]
[null,{"$f":"hidden!E1044","v":"senkrecht zu v steht."},null,null,null,null,"k=",null,null,{"$f":"hidden!H1044","v":""}]
[]
[{"$f":"hidden!C1046","v":"d)"},{"$f":"hidden!E1046","v":"Berechne den Winkel zwischen v und w "},null,null,null,null,"(geht nicht ohne Taschenrechner)"]
[null,{"$f":"hidden!E1047","v":"auf eine Nachkommastelle genau."},null,null,null,null,"alpha=",null,"°",{"$f":"hidden!H1047","v":""},null,null,null,null,null,"Glossar Winkel"]
[]
[]
[]
[]
[]
[{"$f":"hidden!E1052","v":"Aufgabe 6 (Skalarprodukt und Winkel in 3D)"}]
[]
[null,{"$f":"hidden!E1055","v":"Gegeben sind die folgende Vektoren:"}]
[null,null,{"$f":"hidden!F1056","v":2},null,{"$f":"hidden!H1056","v":11}]
[null,{"$f":"hidden!E1057","v":"v="},{"$f":"hidden!F1057","v":4},{"$f":"hidden!G1057","v":"w="},{"$f":"hidden!H1057","v":-13}]
[null,null,{"$f":"hidden!F1058","v":-3},null,{"$f":"hidden!H1058","v":6}]
[]
[{"$f":"hidden!C1060","v":"a)"},{"$f":"hidden!E1060","v":"Berechne das Skalarprodukt v*w"},null,null,null,null,"v*w=",null,null,{"$f":"hidden!H1060","v":""},null,null,null,null,null,"Glossar Skalarprodukt"]
[]
[{"$f":"hidden!C1062","v":"b)"},{"$f":"hidden!E1062","v":"Bestimme irgendeinen Vektor z, der senkrecht zu v steht."},null,null,null,null,null,null,null,null,null,null,null,null,null,"(also orthogonal)"]
[null,{"$f":"hidden!E1063","v":"(und nicht der Nullvektor ist!)"}]
[null,null,null,null,null,null,"z=",null,null,{"$f":"hidden!H1064","v":"Das ist bisher der Nullvektor."},null,null,null,null,null,"Glossar Orthogonalität"]
[]
[{"$f":"hidden!C1066","v":"c)"},{"$f":"hidden!E1066","v":"Berechne k so, dass der Vektor"},null,null,null,{"$f":"hidden!G1066","v":-6}]
[null,null,null,null,"u=","k"]
[null,{"$f":"hidden!E1068","v":"senkrecht zu v steht."},null,null,null,{"$f":"hidden!G1068","v":-1},"k=",null,null,{"$f":"hidden!H1068","v":""}]
[]
[{"$f":"hidden!C1070","v":"d)"},{"$f":"hidden!E1070","v":"Berechne den Winkel zwischen v und w "},null,null,null,null,"(geht nicht ohne Taschenrechner)"]
[null,{"$f":"hidden!E1071","v":"auf eine Nachkommastelle genau."},null,null,null,null,"alpha=",null,"°",{"$f":"hidden!H1071","v":""},null,null,null,null,null,"Glossar Winkel"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Glossar Winkel"]

{"sheet":"FAQ","index":2,"n_rows":44,"n_cols":8,"rows_kept":44,"cut":false,"hidden":false,"merged":[]}
[]
[]
["Hilfe: Irgendwas klappt nicht!!"]
["Das kann sein: Erster Hauptsatz der Theoretischen Informatik: Jedes hinreichend komplexe Programm hat Bugs und irgendwas geht immer schief."]
["Wenn Aufgaben gar nicht richtig dargestellt werden und komische Fehlermeldungen erscheinen: "]
["Am Besten bescheid sagen!"]
["Wenn die Aufgaben abgegeben werden müssen oder du dringend weiterarbeiten willst: Lass dich nicht aufhalten!"]
["Gib als Schüler*innen-Nummer eingfach z.B. die 40 ein und schau, ob das Probelm bei dem Aufgabensatz auch besteht. "]
["Wenn nicht kannst du ja ersatzweise den machen."]
[]
["ABER ICH KANN GAR NICHTS BEARBEITEN - MEINE EINTRÄGE WERDEN NICHT ANGENOMMEN!!!"]
["Hast du vielleicht die Excel-Datei in Teams geöffnet? Das klappt oft nicht. Lade sie auf dein Gerät herunter. Dann müsste alles gehen."]
["TUT ES ABER NICHT!"]
["Dann Plan B: Unter",null,"www.mathebaustelle.de/excel/aufg_fuer_schueler_neu1.xlsm",null,null,null,null,"findest du die aktuelle Version, nur ohne deinen persönlichen Namen."]
["Lad diese Version runter und löse die Aufgaben unter deiner Schüler*innen-Nummer."]
[]
["Ich geb eine Dezimalzahl mit Nachkommastellen ein und krieg nicht, was ich will!"]
["Möglicherweise hast du versehentlich die Zahl - z.B. 2,5 - versehentlich mit Punkt statt Komma eingegeben - also 2.5 (2Punkt5). Excel versteht es dann nicht."]
[]
["Ich geb einen Bruch ein und krieg nicht, was ich will!"]
["In Excel mus man bei der Eingabe eines Bruchs mit einem Gleichheitszeichen starten. Gib statt 1/4 ein: =1/4"]
[]
["Ein DATUM?? Ich gebe eine Zahl in eine Antwortzelle ein, aber es erscheint immer ein Datum!"]
["Möglicherweise hast du die Zahl - z.B. 2,5 - versehentlich mit Punkt statt Komma eingegeben - also 2.5 (2Punkt5)."]
["Excel hält das dann für ein Datum. Aus irgendwelchen Gründen merkt sich Excel außerdem, dass das eine Zelle für Datumsangaben ist. Also kann man es nicht so einfach korrigieren."]
["Erster Fix: Schreib das richtige Ergebnis einfach in eine andere leere Zelle - am besten direkt links oder rechts davon. Jetzt hast du schon mal mathematisch alles richtig und man kann das ja auch sehen. "]
["Wenn es dich stört, dass du kein \"richtig\" bekommst, mach Folgendes:"]
["Kopiere die neu eingetippte Lösungszelle über die \"Datumszelle\". Müsste klappen!"]
["ODER du formatierst die Zelle und legst das Format \"Zahl\" fest."]
[]
["Ich will eine Funktionsgleichung eingeben, bekomme aber eine Excel-Fehlermeldung!"]
["Fängt die Gleichung vielleicht mit einem Minus an? Excel will dann rechnen, du willst aber einen Text eingeben - das passt nicht."]
["Möglicherweise ist durch einen Fehler die Zelle, in die einträgst nicht als Textzelle markiert."]
["Du kannst das im Menü \"Start\" - \"Format\" -  \"Zellen formatieren\" ändern."]
[]
["Ich hab die richtige Funktionsgleichung eingeben, das wird aber nicht erkannt (und durch ein \"richtig\" gewürdigt!)"]
["Tja, überprüf doch mal deine Eingabe auf Folgendes."]
["Wenn du z.B. eingeben möchtest:",null,null,"x^2-0,5x"]
["darfst du NICHT eingeben:",null,null,"x²-0,5x","Exponenten immer mit ^ schreiben!"]
["und auch nicht:",null,null,"1x^2-0,5x","vor x oder x^2 wird die \"1\" nicht geschrieben und von der \"-1\" nur das Minus!"]
["und auch nicht:",null,null,"x^2-0.5x","Dezimatrennzeichen ist das Komme, nicht der Punkt"]
["und auch nicht:",null,null,"x^2 - 0,5x","Hier sind Leerzeichen dazwischen - das ist \"verboten\"."]
["und auch nicht:",null,null,"x^2 - 0,5*x","Hier ist ein Malzeichen dazwischen - das ist \"verboten\"."]
["und auch nicht:",null,null,"x^2 - 1/2x","Keine Brüche."]

{"sheet":"Name-ID","index":3,"n_rows":31,"n_cols":2,"rows_kept":31,"cut":false,"hidden":false,"merged":[]}
[]
[0,"Klasse"]
[1,{"$f":"C3","v":0}]
[{"$f":"A3+1","v":2},{"$f":"C4","v":0}]
[{"$f":"A4+1","v":3},0]
[4,0]
[5,0]
[6,0]
[7,0]
[8,0]
[9,0]
[10,0]
[11,0]
[12,0]
[13,0]
[14,0]
[15,0]
[16,0]
[17,0]
[18,0]
[19,0]
[20,0]
[21,0]
[22,0]
[23,0]
[24,0]
[25,0]
[26,0]
[27,0]
[28,0]
[29,"wer auch immer"]

{"sheet":"hidden","index":4,"n_rows":1071,"n_cols":90,"rows_kept":1071,"cut":false,"hidden":true,"merged":[]}
[{"$f":"SUM(B:B)","v":0},null,null,null,"Mit Ctrl-y kann man die Zufallswahlen festtackern und den back-End Bereich \"hidden\" verstecken. Es wird eine Schüler*innen-Datei abgespeichert, ohne das diese Datei \"zerstört wird\".",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Umsortierung",null,null,null,null,2,6,7,8,9,10,10,11,12,13,14,14,15,16,17,18,19,20,21,22,22,23,23,24,25,26,27,27,28,29,30,31,32,33,34,35,36,37,37,38,39,40,41,48,64,69,73,76,82,84]
[null,null,null,null,"Mit alt-F8 kann man Makros und vba-Programme aufrufen."]
["1 Lineare Funktionen"]
[1,{"$f":"IF(G4<>\"\",1,0)","v":0},null,null,{"$f":"\"Aufgabe \"&A4","v":"Aufgabe 1"},null,{"$f":"IF(Aufgaben!E31*N6+O6=P6,\"korrekt!\",\"\")","v":""},null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Klasse",null,"12NP","MQE-Kurs","13NP","11GT1","Leute"]
[null,null,"a",null,{"$f":"IF(N6<0,\" - \",\"\")&IF(N6=0,\"\",IF(ABS(N6)=1,\" x \",ABS(N6)&\" x \"))&IF(O6>0,IF(O6<>0,\" + \",\"\"),\"\")&IF(O6<0,\" - \",\"\")&IF(O6=0,\"\",IF(ABS(O6)=1,\" 1 \",ABS(O6)&\"\"))&\" = \"&P6","v":"5 x  - 6 = 14"},null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$5:$CB$8,2)","v":4},null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56,"Schüler*in 1",null,"Junaid ","Andreas","Sami","Lena","Peter"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$5:$CB$8,3)","v":5},{"$f":"HLOOKUP(ID,$AA$5:$CB$8,4)","v":-6},{"$f":"N6*P5+O6","v":14},null,null,null,null,null,null,null,null,null,null,4,-5,-10,5,-9,-10,8,4,-5,-4,2,12,6,1,-12,2,8,-12,9,8,10,-11,-2,-10,-1,-3,6,6,9,-7,5,5,-6,-1,-2,-12,2,-10,-12,-3,-7,-9,7,-8,12,-11,11,10,2,9,-10,-11,5,-6,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":10},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-6},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":7},{"$f":"\"Schüler*in \"&CE6","v":"Schüler*in 7"},null,"Jasmin","Georgios","Can","Lara","Gwen"]
[null,null,"UNFERTIG",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,1,4,5,6,2,4,-6,-4,-3,6,1,2,-1,5,-4,5,3,5,-3,-2,6,-2,3,3,-4,1,-3,1,3,1,5,-2,3,-4,1,3,5,-3,2,-4,-6,-5,-3,4,3,1,3,-4,6,-4,-3,-1,5,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":6},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":5},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":3},{"$f":"\"Schüler*in \"&CE7","v":"Schüler*in 3"},null,"Jonathan","Monika","Marvin","Mia","M.J."]
[null,null,"b",null,{"$f":"IF(N9<0,\" - \",\"\")&IF(N9=0,\"\",IF(ABS(N9)=1,\" x \",ABS(N9)&\" x \"))&IF(O9>0,IF(O9<>0,\" + \",\"\"),\"\")&IF(O9<0,\" - \",\"\")&IF(O9=0,\"\",IF(ABS(O9)=1,\" 1 \",ABS(O9)&\"\"))&\" = \"&IF(P9<0,\" - \",\"\")&IF(P9=0,\"\",IF(ABS(P9)=1,\" x \",ABS(P9)&\" x \"))&IF(Q9>0,IF(Q9<>0,\" + \",\"\"),\"\")&IF(Q9<0,\" - \",\"\")&IF(Q9=0,\"\",IF(ABS(Q9)=1,\" 1 \",ABS(Q9)&\"\"))","v":"9 x  - 4 = 32 x  + 12"},null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$5:$CB$8,2)","v":4},null,null,null,null,null,null,null,null,null,null,-6,-3,-3,7,-11,9,-12,12,-6,-11,-2,6,4,9,-11,-4,-1,10,-8,9,-5,-11,-12,-1,10,-8,6,-8,11,-12,10,-12,-1,-5,-11,11,-5,1,8,10,-2,1,7,5,5,3,5,-4,-12,8,-11,-6,-9,3,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":5},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-3},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":11},"Schüler*in 11",null,"Theo ","Baykal","Louis","Franzi","Harry"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$14:$CB$20,3)","v":9},{"$f":"HLOOKUP(ID,$AA$14:$CB$20,4)","v":-4},{"$f":"N9*P8+O9","v":32},12,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,{"$f":"CB9+1","v":54},{"$f":"CC9+1","v":55},{"$f":"CD9+1","v":56},"Schüler*in 56",null,"Shirine ","Nevzat","Bilal","Anika","Miles"]
[null,null,null,null," ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-5,-4,0,2,-12,0,-4,3,4,9,-3,4,-10,6,-6,4,6,9,-7,5,-12,16,-6,5,8,1,-6,7,1,-8,-15,-5,-1,9,5,-10,6,17,3,5,15,12,6,16,7,-7,-9,16,-8,4,11,-14,-8,1,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)+CC11","v":-9},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)+CD11","v":13},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)+CE11","v":5},"Schüler*in 5",null,"Finn","Thomas","Joshua","Mika","Rio"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-4,-1,2,-4,-10,-2,-3,-1,8,5,-2,2,-9,10,-10,-1,12,10,-12,7,-6,11,-8,2,11,6,-10,6,3,-6,-10,1,-4,10,9,-8,2,11,1,9,10,6,10,12,1,-3,-3,11,-7,6,5,-10,-4,-1,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-3},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":9},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":8},"Schüler*in 8",null,"Kris","Jan","Erik","Juna","Ganke"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,6,-3,-5,1,-3,3,-4,6,-3,2,-3,3,6,3,-5,-4,2,3,-4,6,3,2,2,1,4,2,2,-1,-2,2,5,5,5,1,3,-1,-3,5,-4,3,-4,3,-2,-6,5,3,-4,-3,3,1,1,-2,1,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":6},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":2},"Schüler*in 2",null,"Yessine","Birthe","Lars","Rabea","Hailey"]
[2,null,null,null,{"$f":"\"Aufgabe \"&A13","v":"Aufgabe 2"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,-2,-12,-10,1,-4,-9,-2,1,3,-6,-11,10,2,-3,6,-1,-4,5,-11,9,12,-9,-6,4,11,-2,8,-4,-4,9,-5,-2,-1,-4,4,12,-7,5,4,-1,5,-5,9,7,-1,-12,12,-2,-8,-12,-2,3,5,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-1},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-9},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":9},"Schüler*in 9",null,"Colin","Andre","Gianluca","Lisbeth","Brian Michael"]
[null,null,null,null,{"$f":"\"Gegeben ist g mit g(x) = \"&IF(N14<0,\" - \",\"\")&IF(N14=0,\"\",IF(ABS(N14)=1,\" x \",ABS(N14)&\" x \"))&IF(O14>0,IF(O14<>0,\" + \",\"\"),\"\")&IF(O14<0,\" - \",\"\")&IF(O14=0,\"\",IF(ABS(O14)=1,\" 1 \",ABS(O14)&\"\"))","v":"Gegeben ist g mit g(x) = 3 x  + 9"},null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$9:$CB$13,2)","v":-5},null,{"$f":"HLOOKUP(ID,$AA$9:$CB$13,4)","v":3},{"$f":"HLOOKUP(ID,$AA$9:$CB$13,5)","v":9},{"$f":"N14*L14+O14","v":-6},null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56,{"$f":"\"Schüler*in \"&CE15","v":"Schüler*in 4"},null,"Enno","Michaela","Marvin","Jessie","Steve"]
[null,null,null,null,{"$f":"IF(N14<0,\" - \",\"\")&IF(N14=0,\"\",IF(ABS(N14)=1,\" x \",ABS(N14)&\" x \"))&IF(O14>0,IF(O14<>0,\" + \",\"\"),\"\")&IF(O14<0,\" - \",\"\")&IF(O14=0,\"\",IF(ABS(O14)=1,\" 1 \",ABS(O14)&\"\"))","v":"3 x  + 9"},null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$9:$CB$13,3)","v":-4},null,{"$f":"HLOOKUP(ID,$AA$9:$CB$13,4)","v":3},{"$f":"HLOOKUP(ID,$AA$9:$CB$13,5)","v":9},{"$f":"N15*L15+O15","v":-3},null,null,null,null,null,null,null,null,null,null,6,4,6,-2,-6,-2,5,1,-2,1,-1,-6,5,5,-2,-6,3,-2,-1,-3,-2,4,4,5,-3,1,-4,-6,6,3,2,1,4,2,4,1,1,1,5,-5,-6,-1,-4,5,-4,-1,-2,-4,-2,-4,-4,1,-6,1,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":-2},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":5},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":4},{"$f":"\"Schüler*in \"&CE16","v":"Schüler*in 9"},null,"Artur","Nadine","Stephanie","Ilvy","Roy"]
[null,{"$f":"IF(G16<>\"\",1,0)","v":0},"a",null,"Gib den y-Achsenabschnitt von g an:",null,{"$f":"IF((Aufgaben!E36-O14)=0,\"korrekt!\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,5,9,2,-5,2,6,3,2,3,0,0,8,7,4,-3,8,0,2,0,0,7,5,7,2,7,-1,-3,11,4,6,5,5,8,5,4,4,6,11,-2,0,5,-3,6,2,4,0,-1,1,2,-3,2,-4,5,{"$f":"CC15+CC19","v":-1},{"$f":"CD15+CD19","v":10},{"$f":"CE15+CE19","v":9},{"$f":"\"Schüler*in \"&CE17","v":"Schüler*in -7"},null,null,null,null,"Hanna"]
[null,{"$f":"IF(G17<>\"\",1,0)","v":0},"b",null,"Gib die Steigung von g an:",null,{"$f":"IF((Aufgaben!E37-N14)=0,\"korrekt!\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-4,11,12,8,-1,-5,-3,-2,-10,-2,11,6,-2,11,-9,10,-6,6,11,2,-3,6,-3,2,11,2,5,1,4,-6,5,4,-4,10,3,-9,1,4,-2,11,-9,1,-6,-8,-5,-5,3,-6,-11,-4,-12,2,7,8,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-6},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-5},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-7},"Schüler*in -11",null,null,null,null,"Merle"]
[null,{"$f":"IF(G18<>\"\",1,0)","v":0},"c",null,{"$f":"\"Welchen Wert nimmt g an der Stelle \"&L14&\" an?\"","v":"Welchen Wert nimmt g an der Stelle -5 an?"},null,{"$f":"IF(Aufgaben!E38=N14*L14+O14,\"korrekt!\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,-7,-4,-10,-2,11,-1,6,3,-10,1,-8,6,-6,10,7,2,-10,-6,-4,8,-1,-11,5,4,-4,6,-9,-1,6,-7,-3,5,-6,4,11,6,-1,-8,7,-3,2,5,8,-5,6,3,7,11,12,-2,12,-11,-2,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-6},-6,-11,"Schüler*in 5",null,null,null,null,"Jelita"]
[null,{"$f":"IF(G19<>\"\",1,0)","v":0},"d",null,{"$f":"\"An welcher Stelle nimmt g den Wert \"&P15&\" an?\"","v":"An welcher Stelle nimmt g den Wert -3 an?"},null,{"$f":"IF((Aufgaben!E39-L15)=0,\"korrekt!\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,1,3,4,1,4,1,2,4,2,1,6,3,2,6,3,5,2,3,3,2,3,1,2,5,6,3,3,5,1,4,4,1,6,1,3,3,5,6,3,6,6,1,1,6,5,2,3,3,6,1,1,2,4,{"$f":"RANDBETWEEN(1,6)","v":1},{"$f":"RANDBETWEEN(1,6)","v":5},{"$f":"RANDBETWEEN(1,6)","v":5},"Schüler*in ",null,null,null,null,"Oskar"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schüler*in ",null,"Alek","Franz-Peter","Lasse","Carolin","Sue"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schüler*in ",null,"Marion","Susanne","Ferdinand","Nico","Kamala"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schüler*in ",null,"Salmane","Andreas","Orlando","Anna","Natasha"]
[3,null,null,null,{"$f":"\"Aufgabe \"&A23","v":"Aufgabe 3"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56,"Schüler*in 56",null,"Lea","Sandra","Robert","Laura","Clint"]
[null,{"$f":"IF(G24<>\"\",1,0)","v":0},null,null,"Gerade","m",{"$f":"IF(ISBLANK(Aufgaben!E46),\"\",IF((Aufgaben!E46-N24)=0,\"korrekt!\",\"\"))","v":""},null,null,null,null,{"$f":"HLOOKUP(ID,$AA$23:$CB$27,2)","v":-4},null,{"$f":"HLOOKUP(ID,$AA$23:$CB$27,4)","v":-2},{"$f":"HLOOKUP(ID,$AA$23:$CB$27,5)","v":9},{"$f":"N24*L24+O24","v":17},null,{"$f":"IF(N24<0,\"-\",\"\")&IF(N24=0,\"\",IF(ABS(N24)=1,\"x\",ABS(N24)&\"x\"))&IF(O24>0,IF(O24<>0,\"+\",\"\"),\"\")&IF(O24<0,\"-\",\"\")&IF(O24=0,\"\",IF(ABS(O24)=1,\"1\",ABS(O24)&\"\"))","v":"-2x+9"},null,null,null,null,null,null,null,null,-4,10,-10,5,-1,-1,3,8,-5,4,-4,9,-3,-12,8,8,11,14,-6,5,0,5,1,-6,0,-10,-8,3,3,-8,1,-6,7,-1,-9,-1,12,-14,-10,16,-1,-8,-2,11,-4,14,-2,9,-5,-4,-13,-13,-2,-5,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)+CC25","v":-1},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)+CD25","v":8},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)+CE25","v":14},"Schüler*in 14",null,"Aaron","Olaf","Ronja","Viktoria","Carol"]
[null,{"$f":"IF(G25<>\"\",1,0)","v":0},null,null,{"$f":"\"die durch die Punkte (\"&L24&\"|\"&P24&\") und (\"&L25&\"|\"&P25&\") geht.\"","v":"die durch die Punkte (-4|17) und (1|7) geht."},"b",{"$f":"IF(ISBLANK(Aufgaben!E47),\"\",IF((Aufgaben!E47-O24)=0,\"korrekt!\",\"\"))","v":""},null,null,null,null,{"$f":"HLOOKUP(ID,$AA$23:$CB$27,3)","v":1},null,{"$f":"N24","v":-2},{"$f":"O24","v":9},{"$f":"N25*L25+O25","v":7},null,null,null,null,null,null,null,null,null,null,1,11,-5,7,-4,-7,-2,12,-10,5,-7,8,-9,-7,12,7,7,12,-11,9,5,3,-3,-1,4,-5,-10,9,1,-9,-1,-2,6,4,-11,-7,9,-8,-6,11,-5,-12,-6,12,-2,12,-6,4,-11,-3,-12,-7,-4,-11,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-7},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":5},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":12},"Schüler*in 12",null,"Maximilian","Julia","Henry","Kornelia","Wanda"]
[null,{"$f":"IF(G26<>\"\",1,0)","v":0},null,null,{"$f":"\"(\"&L24&\"|\"&P24&\") und (\"&L25&\"|\"&P25&\")\"","v":"(-4|17) und (1|7)"},"g(x)",{"$f":"IF((Aufgaben!B49=\"g(x)=\"&R24),\"korrekt!\",\"\")&IF((Aufgaben!B49=R24),\"Schreib davor:g(x)=\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-2,1,1,-6,3,-5,5,2,2,1,3,4,5,2,3,-5,-3,2,4,-6,2,4,-4,-4,4,3,-3,-3,-2,-5,-1,3,1,5,3,-1,2,1,-2,-4,-6,-2,-3,-5,6,-5,1,2,1,2,2,4,3,5,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":-3},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":6},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":-1},"Schüler*in -1",null,"Ewelina","Kamilla","Ben","Antonina=Ann","Scott"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,1,5,-6,11,8,-9,-7,-7,7,-9,-12,-5,11,-8,-2,10,-11,-4,10,10,-1,-10,11,11,7,-10,12,-10,-11,-11,-2,4,-7,-10,8,12,-11,-6,4,-8,4,-11,-1,-7,-11,-8,11,2,6,10,-6,-11,-6,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":2},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":3},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":8},"Schüler*in 8",null,"Laurin","Karla","wer auch immer","Alina","T-Challa"]
["2 Quadratische Gleichungen",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schüler*in ",null,"Jan","Jan",null,"Paula","Mantis"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"Schüler*in \"&CE30","v":"Schüler*in "},null,"Nabil","Corina",null,"Mira","wer auch immer"]
[1,null,null,null,{"$f":"\"Aufgabe \"&A30","v":"Aufgabe 1"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schüler*in 56",null,"Fabienne ","Sinan",null,"wer auch immer"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56,"Schüler*in -1,1",null,"wer auch immer","wer auch immer",null,"wer auch immer"]
[null,{"$f":"IF(G32<>\"\",1,0)","v":0},null,null,{"$f":"M32&\" (x\"&IF(-N32>0,IF(-N32<>0,\" + \",\"\"),\"\")&IF(-N32<0,\" - \",\"\")&IF(-N32=0,\"\",IF(ABS(-N32)=1,\" 1 \",ABS(N32))&\"\")&\")(x\"&IF(-O32>0,IF(-O32<>0,\" + \",\"\"),\"\")&IF(-O32<0,\" - \",\"\")&IF(-O32=0,\"\",IF(ABS(-O32)=1,\" 1 \",ABS(O32))&\")=0\")","v":"-1,2 (x -  1 )(x - 6)=0"},"x1",{"$f":"IF(Aufgaben!E54=\"\",\"\",IF(Aufgaben!E54=N32,\"korrekt!\",\"\"))","v":""},null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$31:$CB$35,2)","v":-1.2},{"$f":"HLOOKUP(ID,$AA$31:$CB$35,3)","v":1},{"$f":"HLOOKUP(ID,$AA$31:$CB$35,5)","v":6},null,null,null,null,null,null,null,null,null,null,"a",-1.2,-1.1000000000000001,-0.6,-0.3,0.5,-0.4,-0.6,-0.2,1.2,0.3,1.1000000000000001,0.4,1,1.2,-0.4,0.3,-0.8,1.1000000000000001,1.1000000000000001,0.7,-0.3,-0.6,-0.8,-1,0.4,0.9,0.3,-1,1,-0.7,0.5,-1.1000000000000001,0.9,0.3,1.2,-0.5,-0.3,-0.3,-0.1,1.1000000000000001,-0.2,0.6,-0.2,-1,0.3,-0.1,-0.9,0.9,-0.9,-1.2,-0.4,-1.1000000000000001,-1.2,-0.5,{"$f":"RANDBETWEEN(1,12)/10*(-1)^RANDBETWEEN(1,2)","v":-0.7},{"$f":"RANDBETWEEN(1,12)/10*(-1)^RANDBETWEEN(1,2)","v":-0.4},-1.1000000000000001,"Schüler*in 6",null,null,null,null,"wer auch immer"]
[null,{"$f":"IF(G33<>\"\",1,0)","v":0},null,null,null,"x2",{"$f":"IF(Aufgaben!E55=\"\",\"\",IF(Aufgaben!E55=O32,\"korrekt!\",\"\"))","v":""},null,null,null,null,null,null,{"$f":"N32","v":1},{"$f":"O32","v":6},null,null,null,null,null,null,null,null,null,null,"x1",1,-7,-9,-9,-6,2,4,-4,5,-1,-1,-5,-8,-9,-8,3,-5,4,2,3,-8,1,-2,-6,4,0,1,-9,0,-7,-10,3,-1,-6,-6,2,-2,-2,-10,-9,-8,-2,-3,-5,-10,-9,5,-2,2,4,2,6,1,1,{"$f":"RANDBETWEEN(-10,6)","v":3},{"$f":"RANDBETWEEN(-10,6)","v":2},{"$f":"RANDBETWEEN(-10,6)","v":6},"Schüler*in ",null,null,null,null,"wer auch immer"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Schüler*in 10",null,null,null,null,"Paula"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x2",6,-6,-3,-6,-3,5,7,0,7,2,1,-4,-7,-6,-2,6,-4,8,3,9,-5,6,2,-2,10,1,3,-7,3,-3,-7,7,4,0,-3,5,4,0,-8,-6,-3,3,1,-2,-7,-4,10,-1,7,10,3,8,4,4,{"$f":"RANDBETWEEN(1,6)+CC33","v":9},{"$f":"RANDBETWEEN(1,6)+CD33","v":3},{"$f":"RANDBETWEEN(1,6)+CE33","v":10},"Schüler*in ",null,null,null,null,"Mira"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"wer auch immer",null,null,null,null,"wer auch immer"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"wer auch immer"]
[]
[]
[2,null,null,null,{"$f":"\"Aufgabe \"&A40","v":"Aufgabe 2"}]
[null,null,null,null,null,null,null,null,null,null,"a","b","c","x1","x2",null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,{"$f":"IF(G42<>\"\",1,0)","v":0},null,null,{"$f":"IF(K42<0,\" - \",\"\")&IF(K42=0,\"\",IF(ABS(K42)=1,\" x^2 \",ABS(K42)&\" x^2 \"))&IF(L42>0,IF(K42<>0,\" + \",\"\"),\"\")&IF(L42<0,\" - \",\"\")&IF(L42=0,\"\",IF(ABS(L42)=1,\" x \",ABS(L42)&\" x \"))&IF(M42>0,IF(K42^2+L42^2<>0,\" + \",\"\"),\"\")&IF(M42<0,\" - \",\"\")&IF(M42=0,\"\",IF(ABS(M42)=1,\"1\",ABS(M42)&\"\"))&\" = 0\"","v":" - 2 x^2  - 4 x  = 0"},"x1",{"$f":"IF(Aufgaben!E59=\"\",\"\",IF(Aufgaben!E59=N42,\"korrekt!\",\"\"))","v":""},null,null,null,{"$f":"HLOOKUP(ID,$AA$41:$CB$45,2)","v":-2},{"$f":"-K42*(N42+O42)","v":-4},{"$f":"K42*N42*O42","v":0},{"$f":"IF(HLOOKUP(ID,$AA$41:$CB$45,2)<0,HLOOKUP(ID,$AA$41:$CB$45,2),0)","v":-2},{"$f":"IF(HLOOKUP(ID,$AA$41:$CB$45,2)>0,HLOOKUP(ID,$AA$41:$CB$45,2),0)","v":0},null,null,null,null,null,null,null,null,null,null,null,-2,6,-1,2,-6,-2,10,5,3,2,2,2,-3,-8,10,4,5,3,2,-3,-5,7,-10,-1,3,-7,-7,7,-7,-4,-6,6,5,11,-11,8,8,2,1,-3,-9,12,-2,-8,-6,-9,6,-4,-10,6,-5,2,-3,6,{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-10},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":-1},{"$f":"RANDBETWEEN(1,12)*(-1)^RANDBETWEEN(1,2)","v":2}]
[null,{"$f":"IF(G43<>\"\",1,0)","v":0},null,null,null,"x2",{"$f":"IF(ISBLANK(Aufgaben!E60),\"\",IF(Aufgaben!E60=O42,\"ja!\",\"\"))","v":""},null,null,null,null,null,null,{"$f":"N42","v":-2},{"$f":"O42","v":0},null,null,null,null,null,null,null,null,null,null,null,0,-15,-55,-54,-53,-52,-51,-8,-50,-49,-48,-47,-13,-46,-45,-44,-43,-42,-41,-40,-39,-17,-38,-6,-37,-36,-35,-34,-11,-33,-32,-31,-30,-29,-28,-27,-26,-25,-24,-9,-23,-22,-21,-20,-10,-14,-18,-12,-19,-16,-7,-5,-4,-3,-2,-1,0]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,-7,-53,-48,-45,-46,-47,-4,-38,-39,-46,-37,-11,-40,-33,-34,-35,-38,-37,-38,-33,-11,-36,6,-27,-28,-33,-28,-9,-27,-26,-21,-22,-19,-16,-17,-16,-15,-16,1,-19,-10,-17,-14,-2,-4,-12,0,-11,-4,-1,1,0,1,{"$f":"2*RANDBETWEEN(1,6)+CC43","v":10},{"$f":"2*RANDBETWEEN(1,6)+CD43","v":3},{"$f":"2*RANDBETWEEN(1,6)+CE43","v":10}]
[]
[3,null,null,null,{"$f":"\"Aufgabe \"&A47","v":"Aufgabe 3"}]
[null,null,null,null,null,null,null,null,null,null,"a","b","c","x1","x2",null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,{"$f":"IF(G49<>\"\",1,0)","v":0},null,null,{"$f":"IF(K49<0,\" - \",\"\")&IF(K49=0,\"\",IF(ABS(K49)=1,\" x^2 \",ABS(K49)&\" x^2 \"))&IF(L49>0,IF(K49<>0,\" + \",\"\"),\"\")&IF(L49<0,\" - \",\"\")&IF(L49=0,\"\",IF(ABS(L49)=1,\" x \",ABS(L49)&\" x \"))&IF(M49>0,IF(K49^2+L49^2<>0,\" + \",\"\"),\"\")&IF(M49<0,\" - \",\"\")&IF(M49=0,\"\",IF(ABS(M49)=1,\"1\",ABS(M49)&\"\"))&\" = 0\"","v":" - 2 x^2  + 18 = 0"},"x1",{"$f":"IF(Aufgaben!E64=\"\",\"\",IF(Aufgaben!E64=N49,\"haargenau!\",\"\"))","v":""},null,null,null,{"$f":"HLOOKUP(ID,$AA$41:$CB$45,2)","v":-2},{"$f":"-K49*(N49+O49)","v":0},{"$f":"K49*N49*O49","v":18},{"$f":"HLOOKUP(ID,$AA$48:$CB$53,2)","v":-3},{"$f":"-N49","v":3},null,null,null,null,null,null,null,null,null,null,null,-3,-8,-5,-8,-10,-4,-6,-1,-8,-5,-8,-3,-3,-6,-3,-1,-6,-5,-2,-9,-5,-8,-8,-4,-6,-5,-4,-8,-5,-9,-7,-4,-9,-4,-8,-9,-10,-4,-3,-8,-1,-10,-5,-9,-7,-7,-4,-3,-5,-1,-2,-3,-7,-7,{"$f":"-RANDBETWEEN(1,10)","v":-6},{"$f":"-RANDBETWEEN(1,10)","v":-3},-6]
[null,{"$f":"IF(G50<>\"\",1,0)","v":0},null,null,null,"x2",{"$f":"IF(ISBLANK(Aufgaben!E65),\"\",IF(Aufgaben!E65=O49,\"korrekt!\",\"\"))","v":""},null,null,null,null,null,null,{"$f":"N49","v":-3},{"$f":"O49","v":3},null,null,null,null,null,null,null,null,null,null,null,3,8,5,8,10,4,6,1,8,5,8,3,3,6,3,1,6,5,2,9,5,8,8,4,6,5,4,8,5,9,7,4,9,4,8,9,10,4,3,8,1,10,5,9,7,7,4,3,5,1,2,3,7,7,{"$f":"-CC49","v":6},{"$f":"-CD49","v":3},{"$f":"-CE49","v":6}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,16,9,18,20,6,14,9,14,11,18,11,7,18,7,11,10,11,12,19,7,10,10,16,10,17,10,14,15,11,15,10,17,16,16,21,20,14,15,10,9,22,13,15,9,19,12,7,9,7,6,5,15,11,{"$f":"2*RANDBETWEEN(1,6)+CC50","v":12},{"$f":"2*RANDBETWEEN(1,6)+CD50","v":7},{"$f":"2*RANDBETWEEN(1,6)+CE50","v":12}]
[]
[]
[]
[]
[]
[4,null,null,null,{"$f":"\"Aufgabe \"&A58","v":"Aufgabe 4"}]
[null,null,null,null,null,null,null,null,null,null,"a","b","c","x1","x2",null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,{"$f":"IF(G60<>\"\",1,0)","v":0},null,null,{"$f":"IF(K60<0,\" - \",\"\")&IF(K60=0,\"\",IF(ABS(K60)=1,\" x^2 \",ABS(K60)&\" x^2 \"))&IF(L60>0,IF(K60<>0,\" + \",\"\"),\"\")&IF(L60<0,\" - \",\"\")&IF(L60=0,\"\",IF(ABS(L60)=1,\" x \",ABS(L60)&\" x \"))&IF(M60>0,IF(K60^2+L60^2<>0,\" + \",\"\"),\"\")&IF(M60<0,\" - \",\"\")&IF(M60=0,\"\",IF(ABS(M60)=1,\"1\",ABS(M60)&\"\"))&\" = 0\"","v":" x^2  - 16 x  + 39 = 0"},"x1",{"$f":"IF(Aufgaben!E69=N60,\"so ist es!\",\"\")","v":""},null,null,null,1,{"$f":"-(N60+O60)","v":-16},{"$f":"N60*O60","v":39},{"$f":"HLOOKUP(ID,$AA$59:$CB$63,3)","v":3},{"$f":"HLOOKUP(ID,$AA$59:$CB$63,5)","v":13}]
[null,{"$f":"IF(G61<>\"\",1,0)","v":0},null,null,null,"x2",{"$f":"IF(ISBLANK(Aufgaben!E70),\"\",IF(Aufgaben!E70=O60,\"korrekt!\",\"\"))","v":""},null,null,null,null,null,null,{"$f":"N60","v":3},{"$f":"O60","v":13},null,null,null,null,null,null,null,null,null,null,null,3,-9,-3,-7,-6,1,-2,-4,-6,6,-2,4,6,2,4,-6,-2,6,-2,-7,-2,-3,0,-10,-2,-9,3,0,4,3,-9,-3,-7,5,-6,-10,0,6,0,-10,-2,6,-1,5,-3,1,0,-3,-10,-5,0,-10,2,3,{"$f":"RANDBETWEEN(-10,6)","v":-6},{"$f":"RANDBETWEEN(-10,6)","v":-3},{"$f":"RANDBETWEEN(-10,6)","v":-4}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,-7,9,-1,-2,11,4,8,0,14,0,16,18,6,14,-4,4,18,2,3,4,5,2,2,2,-3,5,6,16,5,1,9,3,13,0,-8,6,18,12,-8,6,18,9,15,-1,5,6,9,-2,-3,12,-8,10,7,{"$f":"2*RANDBETWEEN(1,6)+CC61","v":2},{"$f":"2*RANDBETWEEN(1,6)+CD61","v":3},{"$f":"2*RANDBETWEEN(1,6)+CE61","v":2}]
[]
[5,null,null,null,{"$f":"\"Aufgabe \"&A65","v":"Aufgabe 5"}]
[null,null,null,null,null,null,null,null,null,null,"a","b","c","x1","x2",null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,{"$f":"IF(G67<>\"\",1,0)","v":0},null,null,{"$f":"IF(K67<0,\" - \",\"\")&IF(K67=0,\"\",IF(ABS(K67)=1,\" x^2 \",ABS(K67)&\" x^2 \"))&IF(L67>0,IF(K67<>0,\" + \",\"\"),\"\")&IF(L67<0,\" - \",\"\")&IF(L67=0,\"\",IF(ABS(L67)=1,\" x \",ABS(L67)&\" x \"))&IF(M67>0,IF(K67^2+L67^2<>0,\" + \",\"\"),\"\")&IF(M67<0,\" - \",\"\")&IF(M67=0,\"\",IF(ABS(M67)=1,\"1\",ABS(M67)&\"\"))&\" = 0\"","v":" - 2 x^2  + 4 x  + 48 = 0"},"x1",{"$f":"IF(Aufgaben!E78=N67,\"jepp!\",\"\")","v":""},null,null,null,{"$f":"HLOOKUP(ID,$AA$66:$CB$70,2)","v":-2},{"$f":"-K67*(N67+O67)","v":4},{"$f":"K67*N67*O67","v":48},{"$f":"HLOOKUP(ID,$AA$66:$CB$70,3)","v":-4},{"$f":"HLOOKUP(ID,$AA$66:$CB$70,5)","v":6},null,null,null,null,null,null,null,null,null,null,null,-2,1,-2,-5,-6,-10,1,1,-1,-1,-7,-8,-8,1,-5,-9,-7,-1,-6,5,4,1,1,-9,4,-2,4,4,-6,5,2,-8,-4,-5,-2,-9,-10,4,-1,6,-7,4,1,1,-9,3,-1,-5,-5,-1,0,-3,-5,-3,{"$f":"RANDBETWEEN(-10,6)","v":6},{"$f":"RANDBETWEEN(-10,6)","v":-3},{"$f":"RANDBETWEEN(-10,6)","v":1}]
[null,{"$f":"IF(G68<>\"\",1,0)","v":0},null,null,null,"x2",{"$f":"IF(ISBLANK(Aufgaben!E79),\"\",IF(Aufgaben!E79=O67,\"korrekt!\",\"\"))","v":""},null,null,null,null,null,null,{"$f":"N67","v":-4},{"$f":"O67","v":6},null,null,null,null,null,null,null,null,null,null,null,-4,0,-6,-2,-7,1,1,-3,-10,-6,-1,-10,-10,5,-7,-10,-9,-2,-7,-2,3,-1,5,2,-5,-8,5,-10,-4,3,-5,0,-6,-3,-3,1,-10,-10,-5,-6,-3,-1,-6,5,5,-10,-5,6,-10,4,-4,4,0,-3,{"$f":"RANDBETWEEN(-10,6)","v":-6},0,-8]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,12,6,0,-1,9,11,7,-4,-2,11,0,-2,11,-1,-6,-7,2,-5,10,5,1,11,8,-3,0,11,-2,0,11,-1,8,-4,5,3,7,-6,-2,7,2,-1,3,-4,15,7,-4,-3,18,-6,14,4,10,8,-1,{"$f":"2*RANDBETWEEN(1,6)+CC68","v":2},{"$f":"2*RANDBETWEEN(1,6)+CD68","v":10},{"$f":"2*RANDBETWEEN(1,6)+CE68","v":-2}]
[]
["quadratische Funktionen"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ideensammlung:"]
[1,null,null,null,{"$f":"\"Aufgabe \"&A75&\" \"&E76","v":"Aufgabe 1 (Scheitelpunktform)"},null,null,null,null,null,null,null,null,null,null,"Scheitelp.form",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Graph der Ableitung zeigen"]
[null,null,null,null,"(Scheitelpunktform)",null,null,null,null,null,null,null,"Stellen","Koord f","f´´ ","Zufallszahlen",null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56,"Fragen beantworten lassen"]
[null,null,"f(x)",null,{"$f":"IF(N78<0,\"- \",\"\")&IF(N78>0,\"\",\"\")&IF(N78=0,\"\",IF(ABS(N78)=1,\" x^2 \",ABS(N78)&\" x^2 \"))&IF(N79>0,IF(N78<>0,\" + \",\"\"),\"\")&IF(N79<0,\" - \",\"\")&IF(N79=0,\"\",IF(ABS(N79)=1,\" x \",ABS(N79)&\" x \"))&IF(N80>0,IF(N78^2+N79^2<>0,\" + \",\"\"),\"\")&IF(N80<0,\" - \",\"\")&IF(N80=0,\"\",IF(ABS(N80)=1,\"1\",ABS(N80)&\"\"))","v":"0,5 x^2  - 4 x  + 6"},{"$f":"IF(P77<0,\"- \",\"\")&IF(P77>0,\"\",\"\")&IF(P77=0,\"\",IF(ABS(P77)=1,\"(x \",ABS(P77)&\"(x\"))&IF(P78>0,IF(P77<>0,\" + \",\"\"),\"\")&IF(P78<0,\" - \",\"\")&IF(P78=0,\"\",IF(ABS(P78)=1,\"1\",ABS(P78)&\"\"))&\")^2\"&IF(P79>0,IF(P77^2+P78^2<>0,\" + \",\"\"),\"\")&IF(P79<0,\" - \",\"\")&IF(P79=0,\"\",IF(ABS(P79)=1,\"1\",ABS(P79)&\"\"))","v":"0,5(x - 4)^2 - 2"},null,{"$f":"\"(\"&-P78&\";\"&P79&\")\"","v":"(4;-2)"},null,null,null,"x1",{"$f":"HLOOKUP(ID,$AA$76:$CB$84,5)","v":-5},null,null,{"$f":"HLOOKUP(ID,$AA$76:$CB$84,2)","v":0.5},null,null,null,null,null,null,null,null,null,"a",0.5,2,-1,0.25,-4,-4,4,-1,1,-0.25,4,-0.25,2,-2,4,4,0.25,1,2,1,0.25,0.25,-2,-4,-4,-0.5,0.25,-4,-2,-2,-0.25,-0.25,4,2,0.25,4,-2,0.25,-4,-0.25,-0.25,-0.25,-0.5,-0.5,-1,-0.5,-1,2,0.25,-0.25,-1,1,-4,-0.5,{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))","v":-2},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))","v":1},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))","v":-0.25}]
[null,null,"f´(x)=",null,{"$f":"IF(O78<0,\" - \",\"\")&IF(O78>0,\" + \",\"\")&IF(O78=0,\"\",IF(ABS(O78)=1,\" x^2 \",ABS(O78)&\" x^2 \"))&IF(O79>0,IF(O78<>0,\" + \",\"\"),\"\")&IF(O79<0,\" - \",\"\")&IF(O79=0,\"\",IF(ABS(O79)=1,\" x \",ABS(O79)&\" x \"))&IF(O80>0,IF(O78^2+O79^2<>0,\" + \",\"\"),\"\")&IF(O80<0,\" - \",\"\")&IF(O80=0,\"\",IF(ABS(O80)=1,\"1\",ABS(O80)&\"\"))","v":" x  - 4"},null,null,null,null,null,null,"x2",{"$f":"HLOOKUP(ID,$AA$76:$CB$84,6)","v":3},{"$f":"P77","v":0.5},null,{"$f":"HLOOKUP(ID,$AA$76:$CB$84,3)","v":-4},null,null,null,null,null,null,null,null,null,"xS",-4,-1,-4,-1,2,3,5,1,0,5,0,-3,-2,-4,4,-2,-5,-3,-2,1,4,-4,2,-1,1,4,4,-5,5,1,1,1,-1,5,-1,4,-5,-5,-5,-3,3,-1,3,4,-4,1,1,-1,-5,0,-3,1,4,3,{"$f":"RANDBETWEEN(-5,5)","v":-2},{"$f":"RANDBETWEEN(-5,5)","v":5},{"$f":"RANDBETWEEN(-5,5)","v":-3}]
[null,null,null,null,null,null,null,null,null,null,null,"x3",{"$f":"HLOOKUP(ID,$AA$76:$CB$84,7)","v":-1},{"$f":"P77*2*P78","v":-4},{"$f":"N78*2","v":1},{"$f":"HLOOKUP(ID,$AA$76:$CB$84,4)","v":-2},null,null,null,null,null,null,null,null,null,"yS",-2,0,3,2,5,0,5,-2,1,1,3,1,5,-1,-2,0,-2,-2,-4,-1,4,5,-5,1,4,4,2,-1,2,0,2,0,-4,-2,2,-3,-5,-5,3,-5,4,4,1,3,1,5,-3,-3,-1,0,-5,1,3,-5,{"$f":"RANDBETWEEN(-5,5)","v":-2},1,-1]
[null,null,null,null,null,null,null,null,null,null,null,"x4",{"$f":"HLOOKUP(ID,$AA$76:$CB$84,8)","v":3},{"$f":"P77*P78^2+P79","v":6},{"$f":"N79","v":-4},null,null,null,null,null,null,null,null,null,null,"Stellen",-5,-3,3,0,1,3,-3,-1,4,0,0,-5,-2,1,-4,2,-1,-3,-4,-3,-1,5,3,0,0,-4,5,4,-1,-2,3,5,-4,4,3,-5,-4,4,-3,0,5,-2,-2,-3,3,4,5,2,4,3,0,1,0,0,{"$f":"RANDBETWEEN(-5,5)","v":-4},5,-1]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,-3,3,4,0,3,1,1,1,1,-2,-4,0,0,5,-1,-4,3,0,2,0,5,0,1,1,-1,-3,-1,2,3,-3,-1,-3,1,-3,-4,3,2,0,-3,3,-5,-2,4,2,-4,3,4,4,-3,-3,4,5,1,{"$f":"RANDBETWEEN(-5,5)","v":4},1,4]
["*",null,null,null,null,null,-7,{"$f":"$K$452*G82^3+$K$453*G82^2+$K$454*G82+$K$455","v":39},null,null,null,{"$f":"\"Gegeben ist die Funktion f mit\"","v":"Gegeben ist die Funktion f mit"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,-1,4,-3,0,2,-3,5,-3,2,3,-5,-4,-2,1,2,4,-3,-1,-5,1,-1,1,0,-3,2,0,-3,0,1,-1,5,-4,-1,4,-4,2,-1,2,-1,-3,0,-4,5,4,-5,-4,-4,-2,4,-1,-1,-4,-5,-1,{"$f":"RANDBETWEEN(-5,5)","v":1},-1,-4]
["*",null,null,null,null,null,{"$f":"G82+1","v":-6},22,null,null,null,{"$f":"\"f(x)=\"&F77","v":"f(x)=0,5(x - 4)^2 - 2"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,-2,5,0,2,0,-1,5,-5,-2,-5,-5,3,3,3,4,-1,5,-1,-3,-3,-1,-1,5,-2,0,-3,-4,-3,3,-1,-5,3,-5,2,-1,-1,-3,-5,-2,5,-3,-4,-3,-5,-4,5,-5,-4,-4,3,-1,4,-3,{"$f":"RANDBETWEEN(-5,5)","v":2},4,-1]
["*",null,null,null,null,null,-5,14,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,2,-4,5,4,4,-5,-5,4,5,3,3,4,-4,1,-1,5,1,-2,-2,-2,-2,5,-4,-5,-4,-1,-2,-5,5,1,-3,-1,-3,-5,-1,1,1,-2,-3,-5,-5,-5,5,-3,-1,-2,-2,1,4,5,-4,2,-3,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":-2},{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":5},{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":1}]
[null,{"$f":"IF(T85<>\"\",1,0)","v":0},null,null,null,null,-4,12,"a)",null,null,"Bring f auf Normalform: f(x)=",null,null,null,null,null,null,{"$f":"IF(N78<0,\"-\",\"\")&IF(N78>0,\"\",\"\")&IF(N78=0,\"\",IF(ABS(N78)=1,\"x^2\",ABS(N78)&\"x^2\"))&IF(N79>0,IF(N78<>0,\"+\",\"\"),\"\")&IF(N79<0,\"-\",\"\")&IF(N79=0,\"\",IF(ABS(N79)=1,\"x\",ABS(N79)&\"x\"))&IF(N80>0,IF(N78^2+N79^2<>0,\"+\",\"\"),\"\")&IF(N80<0,\"-\",\"\")&IF(N80=0,\"\",IF(ABS(N80)=1,\"\",ABS(N80)&\"\"))","v":"0,5x^2-4x+6"},{"$f":"IF(ISBLANK(Aufgaben!E88),\"\",IF(Aufgaben!E88=S85,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,-3,13]
[null,{"$f":"IF(T87<>\"\",1,0)","v":0},null,null,null,null,-2,14,"b)",null,null,"Gib den Scheitelpunkt an ",null,null,null,null,null,null,{"$f":"H77","v":"(4;-2)"},{"$f":"IF(ISBLANK(Aufgaben!E91),\"\",IF(Aufgaben!E91=S87,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,-1,12,null,null,null,"Schreib die Koordinaten ohne Leerzeichen in der Form (...;...)",null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!E91),\"\",\"Also ist f um \"&ABS(P78)&\" nach \"&IF(P78<=0,\" links\",\"rechts\")&\" und um \"&ABS(P79)&\" nach \"&IF(P79<=0,\"unten\",\"oben\")&\" verschoben.\")","v":""}]
[null,{"$f":"IF(T89<>\"\",1,0)","v":0},null,null,null,null,0,4,"c)",{"$f":"M77","v":-5},{"$f":"P77*(J89+P78)^2+P79","v":38.5},{"$f":"\"Welchen Wert nimmt f an der Stelle \"&J89&\" an?\"","v":"Welchen Wert nimmt f an der Stelle -5 an?"},null,null,null,null,null,null,{"$f":"K89","v":38.5},{"$f":"IF(ISBLANK(Aufgaben!E94),\"\",IF(Aufgaben!E94=S89,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,1,-13]
[null,{"$f":"IF(T91<>\"\",1,0)","v":0},null,null,null,null,2,-42,"d)",{"$f":"M79","v":-1},{"$f":"P77*(J91+P78)^2+P79","v":10.5},{"$f":"\"An welcher Stelle nimmt f den Wert \"&K91& \" an?\"","v":"An welcher Stelle nimmt f den Wert 10,5 an?"},null,null,null,null,null,null,{"$f":"((K91-P79)/P77)^0.5*(-1)-P78","v":-1},{"$f":"IF(ISBLANK(Aufgaben!E96),\"\",IF(Aufgaben!E96=S91,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(T92<>\"\",1,0)","v":0},null,null,null,null,3,-86,null,null,null,null,null,null,null,null,null,null,{"$f":"((K91-P79)/P77)^0.5-P78","v":9},{"$f":"IF(ISBLANK(Aufgaben!E97),\"\",IF(Aufgaben!E97=S92,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(T94<>\"\",1,0)","v":0},null,null,null,null,null,null,"e)",null,null,{"$f":"\"Gib den y-Achsenabschnitt an.\"","v":"Gib den y-Achsenabschnitt an."},null,null,null,null,null,null,{"$f":"N80","v":6},{"$f":"IF(ISBLANK(Aufgaben!E99),\"\",IF(Aufgaben!E99=S94,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!E99),\"\",\"Also ist der Schnittpunkt mit der y-Achse (0;\"&S94&\")\")","v":""}]
[null,null,null,null,null,null,null,null,"f)",null,null,"Gegenüber der Standardnormalparabel y=x^2 ist f …"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"richtig",false]
[null,null,null,null,null,null,null,null,null,null,null,"… nach unten geöffnet",null,null,null,null,null,null,{"$f":"IF(P77<0,\"x\",\"\")","v":""},{"$f":"IF(S98=\"\",\"x\",\"\")","v":"x"},{"$f":"IF(S98=Aufgaben!C103,0,1)","v":0},{"$f":"IF(T98=Aufgaben!D103,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,"… gestreckt",null,null,null,null,null,null,{"$f":"IF(ABS(P77)>1,\"x\",\"\")","v":""},{"$f":"IF(S99=\"\",\"x\",\"\")","v":"x"},{"$f":"IF(S99=Aufgaben!C104,0,1)","v":0},{"$f":"IF(T99=Aufgaben!D104,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P78)&\" nach links verschoben\"","v":"… um 4 nach links verschoben"},null,null,null,null,null,null,{"$f":"IF((P78)>0,\"x\",\"\")","v":""},"x",{"$f":"IF(S100=Aufgaben!C105,0,1)","v":0},{"$f":"IF(T100=Aufgaben!D105,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P79)&\" nach links verschoben\"","v":"… um 2 nach links verschoben"},null,null,null,null,null,null,{"$f":"IF((P78)>0,IF(ABS(P78)=ABS(P79),\"x\",\"\"),\"\")","v":""},"x",{"$f":"IF(S101=Aufgaben!C106,0,1)","v":0},{"$f":"IF(T101=Aufgaben!D106,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P78)&\" nach rechts verschoben\"","v":"… um 4 nach rechts verschoben"},null,null,null,null,null,null,{"$f":"IF((P78)<0,\"x\",\"\")","v":"x"},"",{"$f":"IF(S102=Aufgaben!C107,0,1)","v":1},{"$f":"IF(T102=Aufgaben!D107,0,1)","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P79)&\" nach rechts verschoben\"","v":"… um 2 nach rechts verschoben"},null,null,null,null,null,null,{"$f":"IF((P79)<0,IF(ABS(P78)=ABS(P79),\"x\",\"\"),\"\")","v":""},"x",{"$f":"IF(S103=Aufgaben!C108,0,1)","v":0},{"$f":"IF(T103=Aufgaben!D108,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P78)&\" nach oben verschoben\"","v":"… um 4 nach oben verschoben"},null,null,null,null,null,null,{"$f":"IF((P79)>0,IF(ABS(P78)=ABS(P79),\"x\",\"\"),\"\")","v":""},"x",{"$f":"IF(S104=Aufgaben!C109,0,1)","v":0},{"$f":"IF(T104=Aufgaben!D109,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P79)&\" nach oben verschoben\"","v":"… um 2 nach oben verschoben"},null,null,null,null,null,null,{"$f":"IF((P79)>0,\"x\",\"\")","v":""},"x",{"$f":"IF(S105=Aufgaben!C110,0,1)","v":0},{"$f":"IF(T105=Aufgaben!D110,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P78)&\" nach unten verschoben\"","v":"… um 4 nach unten verschoben"},null,null,null,null,null,null,{"$f":"IF((P79)<0,IF(ABS(P78)=ABS(P79),\"x\",\"\"),\"\")","v":""},"x",{"$f":"IF(S106=Aufgaben!C111,0,1)","v":0},{"$f":"IF(T106=Aufgaben!D111,0,1)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"… um \"&ABS(P79)&\" nach unten verschoben\"","v":"… um 2 nach unten verschoben"},null,null,null,null,null,null,{"$f":"IF((P79)<0,\"x\",\"\")","v":"x"},"",{"$f":"IF(S107=Aufgaben!C112,0,1)","v":1},{"$f":"IF(T107=Aufgaben!D112,0,1)","v":0}]
[null,{"$f":"IF(T108<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(SUM(U98:V107)=0,\"alles korrekt!\",\"\")","v":""}]
[]
[]
[2,null,null,null,{"$f":"\"Aufgabe \"&A111&\" \"&E112","v":"Aufgabe 2 (Normalform)"},null,null,null,null,null,null,null,null,null,null,"Scheitelp.form"]
[null,null,null,null,"(Normalform)",null,null,null,null,null,null,null,"Stellen","Koord f","f´´ ","Zufallszahlen",null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,null,"f(x)",null,{"$f":"IF(N114<0,\"- \",\"\")&IF(N114>0,\"\",\"\")&IF(N114=0,\"\",IF(ABS(N114)=1,\" x^2 \",ABS(N114)&\" x^2 \"))&IF(N115>0,IF(N114<>0,\" + \",\"\"),\"\")&IF(N115<0,\" - \",\"\")&IF(N115=0,\"\",IF(ABS(N115)=1,\" x \",ABS(N115)&\" x \"))&IF(N116>0,IF(N114^2+N115^2<>0,\" + \",\"\"),\"\")&IF(N116<0,\" - \",\"\")&IF(N116=0,\"\",IF(ABS(N116)=1,\"1\",ABS(N116)&\"\"))","v":"0,5 x^2  - 4 x  + 6"},{"$f":"IF(P113<0,\"- \",\"\")&IF(P113>0,\"\",\"\")&IF(P113=0,\"\",IF(ABS(P113)=1,\"(x \",ABS(P113)&\"(x\"))&IF(P114>0,IF(P113<>0,\" + \",\"\"),\"\")&IF(P114<0,\" - \",\"\")&IF(P114=0,\"\",IF(ABS(P114)=1,\"1\",ABS(P114)&\"\"))&\")^2\"&IF(P115>0,IF(P113^2+P114^2<>0,\" + \",\"\"),\"\")&IF(P115<0,\" - \",\"\")&IF(P115=0,\"\",IF(ABS(P115)=1,\"1\",ABS(P115)&\"\"))","v":"0,5(x - 4)^2 - 2"},null,{"$f":"\"(\"&-P114&\";\"&P115&\")\"","v":"(4;-2)"},null,null,null,"x1",{"$f":"HLOOKUP(ID,$AA$112:$CB$120,5)","v":-5},null,null,{"$f":"HLOOKUP(ID,$AA$112:$CB$120,2)","v":0.5},null,null,null,null,null,null,null,null,null,"a",0.5,2,4,0.5,-0.5,0.5,4,-1,-0.25,-4,-4,-4,-0.5,0.5,-2,2,0.25,-0.5,2,4,1,0.5,2,-0.25,-1,-0.25,1,0.25,2,2,-2,2,4,-0.25,4,0.5,2,-1,-1,0.5,0.25,-2,-4,1,2,4,-2,-1,2,-0.5,-1,4,4,0.5,{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))","v":-2},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))","v":0.25},0.25]
[null,null,"f´(x)=",null,{"$f":"IF(O114<0,\" - \",\"\")&IF(O114>0,\" + \",\"\")&IF(O114=0,\"\",IF(ABS(O114)=1,\" x^2 \",ABS(O114)&\" x^2 \"))&IF(O115>0,IF(O114<>0,\" + \",\"\"),\"\")&IF(O115<0,\" - \",\"\")&IF(O115=0,\"\",IF(ABS(O115)=1,\" x \",ABS(O115)&\" x \"))&IF(O116>0,IF(O114^2+O115^2<>0,\" + \",\"\"),\"\")&IF(O116<0,\" - \",\"\")&IF(O116=0,\"\",IF(ABS(O116)=1,\"1\",ABS(O116)&\"\"))","v":" x  - 4"},null,null,null,null,null,null,"x2",{"$f":"HLOOKUP(ID,$AA$112:$CB$120,6)","v":3},{"$f":"P113","v":0.5},null,{"$f":"HLOOKUP(ID,$AA$112:$CB$120,3)","v":-4},null,null,null,null,null,null,null,null,null,"xS",-4,-4,-1,-3,0,4,-2,5,4,3,-3,-4,4,-3,-5,-1,-5,0,5,-1,0,-3,3,0,-1,-3,-2,-1,4,5,1,3,2,3,1,3,2,-1,3,2,4,3,0,1,-5,0,-1,4,0,0,1,-5,-4,3,{"$f":"RANDBETWEEN(-5,5)","v":0},{"$f":"RANDBETWEEN(-5,5)","v":-5},-2]
[null,null,null,null,null,null,null,null,null,null,null,"x3",{"$f":"HLOOKUP(ID,$AA$112:$CB$120,7)","v":-1},{"$f":"P113*2*P114","v":-4},{"$f":"N114*2","v":1},{"$f":"HLOOKUP(ID,$AA$112:$CB$120,4)","v":-2},null,null,null,null,null,null,null,null,null,"yS",-2,-1,-3,-1,5,-2,-5,5,4,4,2,2,2,-2,2,-4,-3,5,-3,-1,-3,-4,-3,3,3,3,-5,-3,-4,-4,1,-5,-1,4,-1,-4,-3,4,3,-2,-4,2,2,-1,-3,-1,4,1,-4,5,1,-5,-3,-1,{"$f":"RANDBETWEEN(1,5)*SIGN(CC113)*(-1)","v":5},{"$f":"RANDBETWEEN(1,5)*SIGN(CD113)*(-1)","v":-3},-5]
[null,null,null,null,null,null,null,null,null,null,null,"x4",{"$f":"HLOOKUP(ID,$AA$112:$CB$120,8)","v":3},{"$f":"P113*P114^2+P115","v":6},{"$f":"N115","v":-4},null,null,null,null,null,null,null,null,null,null,"Stellen",-5,4,-4,-1,4,0,-4,4,0,5,-5,-4,2,5,0,-2,3,-2,-4,-2,0,3,-4,-1,0,2,-3,4,3,0,-1,2,2,3,3,-2,3,-2,4,3,-2,-1,5,1,-3,2,-4,1,0,0,4,2,2,-1,{"$f":"RANDBETWEEN(-5,5)","v":-4},-4,-4]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,-3,2,3,-4,-3,1,-3,0,-3,-4,-1,2,-3,-3,3,2,4,-3,2,-3,-4,3,-2,-5,3,-4,2,4,-3,4,-3,1,2,-2,3,-1,3,3,2,-5,1,0,3,-3,-1,5,-1,0,1,4,-5,-4,4,{"$f":"RANDBETWEEN(-5,5)","v":0},-1,-5]
["*",null,null,null,null,null,-7,{"$f":"$K$452*G118^3+$K$453*G118^2+$K$454*G118+$K$455","v":39},null,null,null,{"$f":"\"Gegeben ist die Funktion f mit\"","v":"Gegeben ist die Funktion f mit"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,-1,1,2,0,1,3,0,5,-1,3,4,-4,1,-1,2,-4,-4,1,1,-4,1,5,4,-2,2,-4,-5,3,4,-2,-3,-4,0,5,4,0,5,5,4,-3,0,1,4,-4,-1,-5,-1,-2,3,-4,2,-3,0,1,{"$f":"RANDBETWEEN(-5,5)","v":2},-3,4]
["*",null,null,null,null,null,{"$f":"G118+1","v":-6},22,null,null,null,{"$f":"\"f(x)=\"&E113","v":"f(x)=0,5 x^2  - 4 x  + 6"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,4,5,-3,5,3,-4,4,-3,-1,1,4,2,-1,3,0,3,5,4,1,-1,-3,-2,0,-3,-4,-1,0,1,-1,-4,2,3,-1,2,1,3,2,3,4,4,0,-3,2,-3,-1,5,-2,-4,-3,-4,-4,0,3,{"$f":"RANDBETWEEN(-5,5)","v":-4},5,-4]
["*",null,null,null,null,null,-5,14,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,4,-2,4,2,3,5,5,2,-4,-2,-3,1,3,1,-3,-5,-1,-2,4,-5,5,2,1,4,-5,3,-3,-5,-1,-1,-2,2,5,3,2,3,-1,-1,3,3,-1,3,1,-5,-1,3,-1,5,-2,-2,4,3,4,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":-4},{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":-2},3]
[null,{"$f":"IF(T121<>\"\",1,0)","v":0},null,null,null,null,-4,12,"a)",null,null,{"$f":"\"Gib den y-Achsenabschnitt an.\"","v":"Gib den y-Achsenabschnitt an."},null,null,null,null,null,null,{"$f":"N116","v":6},{"$f":"IF(ISBLANK(Aufgaben!E120),\"\",IF(Aufgaben!E120=S121,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,-3,13]
[null,{"$f":"IF(T123<>\"\",1,0)","v":0},null,null,null,null,-2,14,"b)",null,null,"Berechne die Nullstellen. Runde auf eine Nachkommastelle.",null,null,null,null,null,null,{"$f":"ROUND(-P114-(-P115/P113)^0.5,1)","v":2},{"$f":"IF(ISBLANK(Aufgaben!E122),\"\",IF(Aufgaben!E122=S123,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(T124<>\"\",1,0)","v":0},null,null,null,null,-1,12,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(-P114+(-P115/P113)^0.5,1)","v":6},{"$f":"IF(ISBLANK(Aufgaben!E123),\"\",IF(Aufgaben!E123=S124,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,0,4]
[null,{"$f":"IF(T126<>\"\",1,0)","v":0},null,null,null,null,1,-13,"c)",{"$f":"M113","v":-5},{"$f":"P113*(J126+P114)^2+P115","v":38.5},{"$f":"\"Welchen Wert nimmt f an der Stelle \"&J126&\" an?\"","v":"Welchen Wert nimmt f an der Stelle -5 an?"},null,null,null,null,null,null,{"$f":"K126","v":38.5},{"$f":"IF(ISBLANK(Aufgaben!E125),\"\",IF(Aufgaben!E125=S126,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,2,-42]
[null,{"$f":"IF(T128<>\"\",1,0)","v":0},null,null,null,null,3,-86,"d)",{"$f":"M115","v":-1},{"$f":"P113*(J128+P114)^2+P115","v":10.5},{"$f":"\"An welcher Stelle nimmt f den Wert \"&K128& \" an?\"","v":"An welcher Stelle nimmt f den Wert 10,5 an?"},null,null,null,null,null,null,{"$f":"((K128-P115)/P113)^0.5*(-1)-P114","v":-1},{"$f":"IF(ISBLANK(Aufgaben!E127),\"\",IF(Aufgaben!E127=S128,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(T129<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"((K128-P115)/P113)^0.5-P114","v":9},{"$f":"IF(ISBLANK(Aufgaben!E128),\"\",IF(Aufgaben!E128=S129,\"richtig!\",\"\"))","v":""}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!E135),\"\",\"Also ist der Schnittpunkt mit der y-Achse (0;\"&S121&\")\")","v":"Also ist der Schnittpunkt mit der y-Achse (0;6)"}]
[]
[]
[]
[]
[]
["3 LGS"]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Zufallszahlen Koeff.",null,null,null,null,null,"Zufallszahlen x-Koord."]
[1,null,null,null,{"$f":"\"Aufgabe \"&A139&\" \"&E140","v":"Aufgabe 1 (Auswertung Diagonalform)"},null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$139:$CB$149,2)","v":1},null,null,{"$f":"ROUND(RAND()*12-6,0)","v":2},{"$f":"ROUND(RAND()*9-4.5,0)/2","v":1},null,null,null,null,{"$f":"ROUND(RAND()*16-8,0)","v":4},null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
["*",null,null,null,"(Auswertung Diagonalform)",null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$139:$CB$149,3)","v":-3},null,null,-1,null,null,null,null,null,{"$f":"IF(Z140<>Y139,Z140,Y139+1)","v":2},{"$f":"ROUND(RAND()*12-6,0)","v":2},1,-1,-1,-1,4,2,3,5,0,-2,4,-4,1,-5,3,0,0,-1,0,0,2,0,1,-5,1,-4,-1,5,-5,1,-3,5,-2,-3,-2,-2,-3,-1,3,2,0,1,0,1,1,-2,-5,-4,5,-3,-2,3,-3,5,{"$f":"RANDBETWEEN(-5,5)","v":0},{"$f":"RANDBETWEEN(-5,5)","v":0},{"$f":"RANDBETWEEN(-5,5)","v":3}]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$139:$CB$149,4)","v":5},null,null,3,null,null,null,null,null,{"$f":"IF((Z141-Y140)*(Z141-Y139)<>0,Z141,MAX(Y139,Y140)+1)","v":1},{"$f":"ROUND(RAND()*12-6,0)","v":1},-3,3,-1,-2,-5,2,-5,1,-2,0,5,-1,-2,-3,4,1,-5,2,-3,2,1,4,5,0,-3,1,4,-3,4,-5,-5,-2,-2,3,-1,-4,5,-5,-3,2,5,0,2,0,5,2,4,5,0,-2,-3,-1,-3,0,{"$f":"RANDBETWEEN(-5,5)","v":0},4,-3]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$139:$CB$149,5)","v":-1},{"$f":"HLOOKUP(ID,$AA$139:$CB$149,8)","v":-3},{"$f":"HLOOKUP(ID,$AA$139:$CB$151,11)","v":1},{"$f":"MMULT(M142:O144,P139:P141)","v":13},null,null,-2,{"$f":"ROUND(RAND()*12-6,0)","v":2},3,null,null,null,null,null,5,-4,-2,-5,-5,0,0,1,2,4,-1,5,-2,1,3,-3,1,-2,-3,-1,5,-1,-1,0,-1,-4,-3,5,-1,2,3,4,3,2,3,-3,-4,-3,2,-3,2,0,5,-5,5,-1,4,2,-1,4,0,-1,-1,3,{"$f":"RANDBETWEEN(-5,5)","v":-4},-4,1]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$139:$CB$149,6)","v":0},{"$f":"HLOOKUP(ID,$AA$139:$CB$149,9)","v":4},{"$f":"HLOOKUP(ID,$AA$139:$CB$151,12)","v":-2},-22,null,null,-3,5,5,null,null,null,null,5,-1,-4,1,-4,2,3,4,-1,-2,3,2,3,4,2,-4,-3,-2,3,-2,-3,-4,-3,-1,3,3,-4,3,4,-3,3,-3,3,-1,3,4,-2,-4,4,-3,-2,4,-1,4,4,1,2,4,-2,-1,1,-1,-1,4,-2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":4}]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$139:$CB$149,7)","v":0},{"$f":"HLOOKUP(ID,$AA$139:$CB$149,10)","v":0},{"$f":"HLOOKUP(ID,$AA$139:$CB$151,13)","v":-2},-10,null,null,6,2,5,null,"muss Null sein!",null,null,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"muss Null sein!",null,null,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"M142","v":-1},-3,1,{"$f":"P142","v":13},null,null,null,null,null,null,null,null,null,8,-3,-1,-5,4,0,4,5,-2,-3,4,-4,5,4,-2,3,-3,2,0,0,3,-2,-4,-1,3,0,-4,3,-2,-1,1,0,-3,-3,-5,3,3,5,0,-4,-3,-5,4,4,1,5,1,1,2,-5,2,-3,-2,5,0,{"$f":"RANDBETWEEN(-5,5)","v":-5},{"$f":"RANDBETWEEN(-5,5)","v":-5},{"$f":"RANDBETWEEN(-5,5)","v":3}]
["*",null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"N143","v":4},-2,{"$f":"P143","v":-22},null,null,null,null,null,null,null,null,null,9,4,2,-4,3,-3,3,-4,2,-1,2,-2,-2,-1,1,3,-4,1,4,3,3,-4,1,-4,-2,2,-3,-3,-3,-1,-3,-4,-3,2,-2,-2,-1,-3,-1,4,3,3,4,3,2,2,1,-3,-3,2,3,4,1,-3,-1,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":4},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1}]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"M144","v":0},{"$f":"N144","v":0},{"$f":"O144","v":-2},{"$f":"P144","v":-10},null,null,null,null,null,null,"muss Null sein!",null,null,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,1,1,-2,4,-2,4,-1,4,-2,3,-4,-4,-2,3,-2,2,-2,4,-4,2,-3,-4,-2,-3,2,-1,-3,3,2,-3,1,1,-4,1,2,3,4,-3,-2,4,-3,-1,-1,3,1,2,4,-4,-3,4,-3,3,1,-3,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,-2,3,-2,2,4,-4,1,4,2,4,4,-2,-4,1,-3,-1,1,-4,2,3,1,2,-3,-4,-1,-4,3,-1,-1,3,-4,-2,-4,-4,-3,4,-3,-3,3,4,-2,2,1,-2,1,2,-2,-3,-3,3,-3,-4,-1,3,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3},4,1]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M142","v":-1},-3,1,{"$f":"P146","v":13},null,null,null,null,null,null,null,null,null,13,-2,-3,3,-1,-1,-3,1,-1,4,-3,-1,-2,-1,2,4,3,-2,4,4,-3,2,1,-1,3,-4,3,2,3,2,2,-2,1,4,3,1,-2,4,3,3,-4,2,3,-4,-3,2,-1,1,1,-2,-4,2,1,-1,4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-4},-4,-4]
[null,null,null,null,null,null,null,null,null,null,null,null,0,4,-2,{"$f":"P147","v":-22}]
[null,{"$f":"IF(T153<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,0,0,-2,{"$f":"P148","v":-10},null,null,null,{"$f":"IF((Aufgaben!E139-hidden!P139)^2+(Aufgaben!E140-hidden!P140)^2+(Aufgaben!E141-hidden!P141)^2=0,\"korrekt!\",\"\")","v":""}]
[]
[]
["*"]
["*"]
[2,null,null,null,{"$f":"\"Aufgabe \"&A158&\" \"&E159","v":"Aufgabe 2 (zwei Gleichungen, zwei Variable, Schritt für Schritt mit Additionsverfahren)"},null,null,null,null,null,null,null,null,null,"a=",{"$f":"HLOOKUP(ID,$AA$158:$CB$170,3)","v":-5},null,null,null,null,null,null,null,null,null,1,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
["*",{"$f":"IF(T159<>\"\",1,0)","v":0},null,null,"(zwei Gleichungen, zwei Variable, Schritt für Schritt mit Additionsverfahren)",null,null,null,null,null,null,null,null,null,"b=",{"$f":"HLOOKUP(ID,$AA$158:$CB$170,4)","v":3},null,null,null,{"$f":"IF(ISBLANK(Aufgaben!E154),\"\",IF(Aufgaben!E154=hidden!P159,\"Ja, genau\",\"\"))","v":""},null,null,null,null,null,2,0,4,5,3,-1,-4,-3,4,4,-2,0,-5,-1,1,-3,-2,2,-5,-2,4,3,-3,5,3,-1,-4,-5,0,-4,-5,-3,-1,-3,1,4,5,-2,-2,0,-3,2,2,1,-5,-3,3,3,-2,4,0,5,5,-4,0,{"$f":"RANDBETWEEN(-5,5)","v":-3},{"$f":"RANDBETWEEN(-5,5)","v":-2},{"$f":"RANDBETWEEN(-5,5)","v":2}]
["*",{"$f":"IF(T160<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!E155),\"\",IF(Aufgaben!E155=P158,\"Ja, genau\",\"\"))","v":""},null,null,null,null,null,3,-5,5,-4,3,-6,3,1,-2,2,2,-4,6,-1,6,3,6,-1,6,2,-3,4,6,4,-5,-3,3,5,3,-4,3,6,2,-6,-1,1,-4,-5,-6,6,-5,2,2,-4,-3,-2,3,-3,-4,6,-5,-4,1,1,2,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":-4},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":2},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":-6}]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$158:$CB$170,5)","v":3},{"$f":"HLOOKUP(ID,$AA$158:$CB$170,8)","v":5},{"$f":"HLOOKUP(ID,$AA$158:$CB$170,11)","v":0},{"$f":"MMULT(M161:O163,P158:P160)","v":0},null,null,null,null,null,null,null,null,null,4,3,2,5,-1,3,2,3,3,-3,-5,-5,-4,2,2,-4,-3,0,3,4,4,-3,-1,2,5,-3,5,-5,-3,3,-3,-3,1,-2,1,2,5,-2,1,-4,4,1,3,-3,0,5,4,-4,-3,-1,-4,-1,-1,-2,-5,{"$f":"RANDBETWEEN(-5,5)","v":-2},{"$f":"RANDBETWEEN(-5,5)","v":-4},{"$f":"RANDBETWEEN(-5,5)","v":1}]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$158:$CB$170,6)","v":-2},{"$f":"HLOOKUP(ID,$AA$158:$CB$170,9)","v":-4},{"$f":"HLOOKUP(ID,$AA$158:$CB$170,12)","v":0},-2,null,null,null,null,null,null,null,null,null,5,3,-2,-1,4,-2,-3,4,1,2,1,1,1,-1,-3,-3,3,3,4,-1,-1,4,2,-1,-4,3,4,3,2,-3,1,-3,-1,1,2,1,-2,2,-4,2,-1,3,1,-3,4,-3,-2,3,1,4,1,-1,-2,4,2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-4},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":3},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2}]
["*",{"$f":"IF(T163<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,0,{"$f":"HLOOKUP(ID,$AA$158:$CB$170,10)","v":0},{"$f":"HLOOKUP(ID,$AA$158:$CB$170,13)","v":0},0,null,null,null,{"$f":"IF(Aufgaben!E148^2+Aufgaben!E149^2=0,\"\",IF(Aufgaben!E148*M161+Aufgaben!E149*M162=0,\"So geht es! Beide Einträge passen zueinander.\",\"\"))","v":""},null,null,null,null,null,6,-2,-1,3,-1,-4,2,4,-2,4,4,1,-3,3,2,3,-1,-4,2,1,3,-2,-4,2,1,-2,-2,2,-2,-2,3,-1,3,-3,2,4,4,3,4,-1,3,3,4,4,2,2,3,-3,4,1,1,-2,-3,3,-4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},-1,-2]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,1]
["*",null,null,null,{"$f":"IF(hidden!M161<0,\" - \",\"\")&IF(hidden!M161=0,\"\",IF(ABS(hidden!M161)=1,\" a \",ABS(hidden!M161)&\" a \"))&IF(hidden!N161>0,IF(hidden!M161<>0,\" + \",\"\"),\"\")&IF(hidden!N161<0,\" - \",\"\")&IF(hidden!N161=0,\"\",IF(ABS(hidden!N161)=1,\" b \",ABS(hidden!N161)&\" b \"))&IF(hidden!O161>0,IF(hidden!M161^2+hidden!N161^2<>0,\" + \",\"\"),\"\")&IF(hidden!O161<0,\" - \",\"\")&IF(hidden!O161=0,\"\",IF(ABS(hidden!O161)=1,\" c \",ABS(hidden!O161)&\" c \"))&\" = \"&hidden!P161","v":"3 a  + 5 b  = 0"},null,null,null,null,null,null,null,{"$f":"M161","v":3},5,0,{"$f":"P161","v":0},null,{"$f":"Aufgaben!E148","v":0},null,{"$f":"IF(M161*R165+M162*R166=0,\"Beide Einträge passen zueinander!\",\"\")","v":"Beide Einträge passen zueinander!"},null,null,null,null,null,8,5,-6,-3,2,1,6,-4,-4,2,-6,-1,6,5,-5,-3,6,-5,-5,-3,4,-4,-2,2,2,-2,-4,3,1,4,-1,6,-6,5,-2,-2,-4,-6,-5,6,-4,1,-1,4,-3,5,2,1,-3,5,-6,5,-3,3,-1,{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":-4},{"$f":"RANDBETWEEN(1,6)*(-1)^RANDBETWEEN(1,2)","v":3},-6]
["*",null,null,null,{"$f":"IF(hidden!M162<0,\" - \",\"\")&IF(hidden!M162=0,\"\",IF(ABS(hidden!M162)=1,\" a \",ABS(hidden!M162)&\" a \"))&IF(hidden!N162>0,IF(hidden!M162<>0,\" + \",\"\"),\"\")&IF(hidden!N162<0,\" - \",\"\")&IF(hidden!N162=0,\"\",IF(ABS(hidden!N162)=1,\" b \",ABS(hidden!N162)&\" b \"))&IF(hidden!O162>0,IF(hidden!M162^2+hidden!N162^2<>0,\" + \",\"\"),\"\")&IF(hidden!O162<0,\" - \",\"\")&IF(hidden!O162=0,\"\",IF(ABS(hidden!O162)=1,\" c \",ABS(hidden!O162)&\" c \"))&\" = \"&hidden!P162","v":" - 2 a  - 4 b  = -2"},null,null,null,null,null,null,null,{"$f":"M162","v":-2},{"$f":"N162","v":-4},{"$f":"O162","v":0},{"$f":"P162","v":-2},null,{"$f":"Aufgaben!E149","v":0},null,null,null,null,"WENNABFRAGE",null,null,9,-4,4,-1,2,-3,-3,-1,3,-3,-3,2,-3,-2,-2,4,-4,3,-4,4,-3,1,3,-1,2,4,-3,-3,-2,-2,-2,1,2,4,4,-1,-2,4,4,4,-2,2,-3,3,-1,2,-4,-2,1,2,2,-1,2,-4,-1,{"$f":"IF(CC162/CC163=CC165/CC171,CC171+1,CC171)","v":4},{"$f":"IF(CD162/CD163=CD165/CD171,CD171+1,CD171)","v":0},-2]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"M163","v":0},{"$f":"N163","v":0},{"$f":"O163","v":0},{"$f":"P163","v":0},null,null,null,null,null,null,null,null,null,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"muss Null sein!",null,null,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M161","v":3},5,0,{"$f":"P165","v":0},null,null,null,null,null,null,null,null,null,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M162","v":-2},-4,0,{"$f":"P166","v":-2},null,null,null,null,null,null,null,null,null,null,null,4,-1,2,-3,-4,-1,3,-3,-3,2,-3,-2,-2,3,-4,3,-4,4,-3,1,3,-1,2,4,-3,-3,-2,-2,-2,1,2,4,4,-1,-2,4,4,4,-2,2,-4,3,-1,2,-4,-2,1,2,2,-1,2,-4,-1,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":4},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-1},-2]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M163","v":0},0,0,{"$f":"P167","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M170*$R$165+M171*$R$166","v":0},{"$f":"N170*$R$165+N171*$R$166","v":0},{"$f":"O170*$R$165+O171*$R$166","v":0},{"$f":"P170*$R$165+P171*$R$166","v":0}]
[]
[]
[]
[3,null,null,null,{"$f":"\"Aufgabe \"&A177&\" \"&E178","v":"Aufgabe 3 (drei Gleichungen, drei Variablen)"},null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$177:$CB$189,2)","v":3},null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
["*",null,null,null,"(drei Gleichungen, drei Variablen)",null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$177:$CB$189,3)","v":3},null,null,null,null,null,null,null,null,null,null,3,4,-1,-2,4,4,3,1,0,-1,0,3,1,1,1,-4,-1,-3,-1,0,2,3,-3,1,-1,-2,-4,-4,1,0,-1,-1,-4,1,-4,-4,3,4,2,2,5,1,4,-4,5,2,-3,5,-2,5,-3,2,0,1,{"$f":"RANDBETWEEN(-4,5)","v":-4},{"$f":"RANDBETWEEN(-4,5)","v":-1},{"$f":"RANDBETWEEN(-4,5)","v":3}]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$177:$CB$189,4)","v":-4},null,null,null,null,null,null,null,null,null,null,3,4,-3,-4,2,-4,-1,-2,-2,-1,2,-3,-4,-4,2,-3,-4,2,1,-4,-1,-3,-3,-3,-4,1,2,-1,-2,4,-4,2,3,-2,-4,3,-3,-3,4,-3,3,2,-1,3,4,3,-4,-3,-2,3,4,-2,4,-4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":4}]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$177:$CB$189,5)","v":4},{"$f":"HLOOKUP(ID,$AA$177:$CB$189,8)","v":-2},{"$f":"HLOOKUP(ID,$AA$177:$CB$189,11)","v":4},{"$f":"MMULT(M180:O182,P177:P179)","v":-10},null,{"$f":"Aufgaben!D159","v":1},null,null,null,null,null,null,null,null,-4,-5,2,2,-4,-2,4,-2,-4,-2,-1,-4,-2,-1,-4,4,-2,2,-1,4,-5,-5,1,3,5,3,-4,3,-4,-4,-4,-2,-1,1,0,-5,5,3,-1,2,-2,-1,0,4,-1,-2,5,-2,-1,-3,3,-5,-3,-3,{"$f":"RANDBETWEEN(-5,5)","v":-1},{"$f":"RANDBETWEEN(-5,5)","v":5},{"$f":"RANDBETWEEN(-5,5)","v":0}]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$177:$CB$189,6)","v":-2},{"$f":"HLOOKUP(ID,$AA$177:$CB$189,9)","v":1},{"$f":"HLOOKUP(ID,$AA$177:$CB$189,12)","v":2},-11,null,{"$f":"Aufgaben!D160","v":2},null,null,null,null,null,null,null,null,4,-4,-4,-3,-2,2,-1,-3,1,-2,4,-1,4,-1,-3,2,-3,-2,3,1,-3,-4,2,2,1,-3,-2,2,-1,-4,-2,-4,1,2,-3,3,1,-3,-2,4,2,1,1,1,-1,2,3,4,2,4,-1,-4,-3,4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2}]
["*",null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$177:$CB$189,7)","v":4},{"$f":"HLOOKUP(ID,$AA$177:$CB$189,10)","v":3},{"$f":"HLOOKUP(ID,$AA$177:$CB$189,13)","v":-1},25,null,null,null,null,null,null,null,null,null,null,-2,-2,-1,5,-3,-2,-4,-5,4,-2,-5,1,-2,-2,2,5,-5,-1,5,-4,-1,2,4,1,-3,1,-1,1,-4,-2,-1,-1,5,1,-3,3,1,-5,3,-4,2,3,-2,1,-4,-2,-5,3,3,4,-1,-4,4,-5,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(1,2)","v":-3},{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(1,2)","v":3},-3]
["*",null,null,null,null,null,null,null,null,null,null,null,null,null,3,null,null,null,null,null,null,null,null,null,null,null,4,4,-3,2,-1,2,3,-2,4,4,3,3,2,-2,-1,1,-3,3,4,-2,-3,-4,-3,-1,3,-2,4,-4,4,-2,4,-3,3,2,4,-3,-2,3,4,4,3,3,-4,1,1,1,-1,3,-1,1,-4,1,-1,4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":2},4,-4]
["*",null,null,null,{"$f":"IF(hidden!M184<0,\" - \",\"\")&IF(hidden!M184=0,\"\",IF(ABS(hidden!M184)=1,\" a \",ABS(hidden!M184)&\" a \"))&IF(hidden!N184>0,IF(hidden!M184<>0,\" + \",\"\"),\"\")&IF(hidden!N184<0,\" - \",\"\")&IF(hidden!N184=0,\"\",IF(ABS(hidden!N184)=1,\" b \",ABS(hidden!N184)&\" b \"))&IF(hidden!O184>0,IF(hidden!M184^2+hidden!N184^2<>0,\" + \",\"\"),\"\")&IF(hidden!O184<0,\" - \",\"\")&IF(hidden!O184=0,\"\",IF(ABS(hidden!O184)=1,\" c \",ABS(hidden!O184)&\" c \"))&\" = \"&hidden!P184","v":"4 a  - 2 b  + 4 c  = -10"},null,null,null,null,null,null,null,{"$f":"M180","v":4},-2,4,{"$f":"P180","v":-10},null,{"$f":"Aufgaben!D163","v":0},null,null,null,null,null,null,null,null,-2,5,1,-5,-3,-4,4,-1,4,5,1,-2,-4,2,-5,-1,1,-1,-3,-4,-5,0,-4,3,1,1,-1,1,-4,-4,3,-5,1,4,1,5,5,-4,1,4,-5,1,0,5,4,-5,-5,-4,-5,-4,2,-1,4,4,{"$f":"RANDBETWEEN(-5,5)","v":2},{"$f":"RANDBETWEEN(-5,5)","v":5},{"$f":"RANDBETWEEN(-5,5)","v":3}]
["*",null,null,null,{"$f":"IF(hidden!M185<0,\" - \",\"\")&IF(hidden!M185=0,\"\",IF(ABS(hidden!M185)=1,\" a \",ABS(hidden!M185)&\" a \"))&IF(hidden!N185>0,IF(hidden!M185<>0,\" + \",\"\"),\"\")&IF(hidden!N185<0,\" - \",\"\")&IF(hidden!N185=0,\"\",IF(ABS(hidden!N185)=1,\" b \",ABS(hidden!N185)&\" b \"))&IF(hidden!O185>0,IF(hidden!M185^2+hidden!N185^2<>0,\" + \",\"\"),\"\")&IF(hidden!O185<0,\" - \",\"\")&IF(hidden!O185=0,\"\",IF(ABS(hidden!O185)=1,\" c \",ABS(hidden!O185)&\" c \"))&\" = \"&hidden!P185","v":" - 2 a  +  b  + 2 c  = -11"},null,null,null,null,null,null,null,-2,{"$f":"N181","v":1},2,{"$f":"P181","v":-11},null,{"$f":"Aufgaben!D164","v":0},null,null,null,null,null,null,null,null,1,-3,-2,-2,2,-2,4,2,3,-4,-4,-4,2,-2,-1,-2,-3,-1,-2,-3,2,4,2,-1,-1,-1,3,-2,3,-4,2,-2,-2,1,3,-4,1,2,3,4,-1,2,3,3,-1,3,2,2,-1,-3,4,-3,4,3,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-4},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2}]
["*",null,null,null,{"$f":"IF(hidden!M186<0,\" - \",\"\")&IF(hidden!M186=0,\"\",IF(ABS(hidden!M186)=1,\" a \",ABS(hidden!M186)&\" a \"))&IF(hidden!N186>0,IF(hidden!M186<>0,\" + \",\"\"),\"\")&IF(hidden!N186<0,\" - \",\"\")&IF(hidden!N186=0,\"\",IF(ABS(hidden!N186)=1,\" b \",ABS(hidden!N186)&\" b \"))&IF(hidden!O186>0,IF(hidden!M186^2+hidden!N186^2<>0,\" + \",\"\"),\"\")&IF(hidden!O186<0,\" - \",\"\")&IF(hidden!O186=0,\"\",IF(ABS(hidden!O186)=1,\" c \",ABS(hidden!O186)&\" c \"))&\" = \"&hidden!P186","v":"4 a  + 3 b  -  c  = 25"},null,null,null,null,null,null,null,{"$f":"M182","v":4},{"$f":"N182","v":3},{"$f":"O182","v":-1},{"$f":"P182","v":25},null,null,null,null,null,null,null,null,null,null,3,-1,-4,-3,-3,3,4,2,-2,4,2,-4,-3,-3,2,-1,4,1,-1,-4,-2,-2,-1,2,-3,-4,-1,4,-4,4,-3,-2,2,2,-2,-1,1,-4,-1,1,2,4,4,4,1,2,-3,-1,3,-4,4,2,2,-2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},2,-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,2,-3,2,-2,3,1,2,1,-2,-4,3,2,3,4,-3,-1,1,1,2,-2,-1,-3,-4,-4,3,4,-3,-3,-2,4,3,-2,-3,2,-1,-1,-4,4,-1,4,-2,3,1,3,2,-4,3,-1,2,-4,1,-3,-4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},-1,-4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,2,1,-2,-2,4,4,-1,3,-4,4,-4,1,-3,-1,-1,3,-2,4,-2,2,-2,-2,-4,-2,2,3,-3,4,-2,-4,-2,4,-3,-1,-3,4,-2,3,-2,3,-4,1,-2,-4,-2,-4,3,2,-2,-3,1,4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3},1,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M180","v":4},-2,4,{"$f":"P184","v":-10},null,null,null,null,null,null,null,null,null,null,-1,-4,3,3,-2,4,3,-3,-2,3,-4,-3,-1,-1,4,3,-4,-3,2,4,-4,-4,3,-1,-4,-4,-1,-3,1,-1,-4,-3,-1,-4,2,1,3,-3,-3,2,2,-4,4,2,-2,3,1,-2,-2,4,3,-2,1,4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},2,2]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M181","v":-2},1,2,{"$f":"P185","v":-11}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M182","v":4},3,-1,{"$f":"P186","v":25}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M189*$R$180+M190*$R$181","v":0},{"$f":"N189*$R$180+N190*$R$181","v":0},8,-32,null,{"$f":"IF(M192<0,\"-\",\"\")&IF(M192=0,\"\",IF(ABS(M192)=1,\"a\",ABS(M192)&\"a\"))&IF(N192>0,IF(M192<>0,\"+\",\"\"),\"\")&IF(N192<0,\"-\",\"\")&IF(N192=0,\"\",IF(ABS(N192)=1,\"b\",ABS(N192)&\"b\"))&IF(O192>0,IF(M192^2+N192^2<>0,\"+\",\"\"),\"\")&IF(O192<0,\"-\",\"\")&IF(O192=0,\"\",IF(ABS(O192)=1,\"c\",ABS(O192)&\"c\"))&\"=\"&P192","v":"8c=-32"}]
[]
["Steckbriefaufgaben"]
[1,null,null,null,{"$f":"\"Aufgabe \"&A195&\" \"&E196","v":"Aufgabe 1 (quadratische Funktion, c gegeben)"},5,null,null,null,null,null,null,{"$f":"P195^2","v":0},{"$f":"P195","v":0},1,{"$f":"HLOOKUP(ID,$AA$195:$CB$207,2)","v":0},null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,null,null,null,"(quadratische Funktion, c gegeben)",null,null,null,null,null,null,null,{"$f":"P196^2","v":1},{"$f":"P196","v":1},1,{"$f":"HLOOKUP(ID,$AA$195:$CB$207,3)","v":1},null,{"$f":"M196/P196","v":1},1,null,null,null,null,null,null,null,0,0,0,1,2,3,4,0,5,6,7,8,0,9,10,11,12,13,14,15,16,0,17,0,18,19,20,21,0,22,23,24,25,26,27,28,29,30,31,0,32,33,34,35,0,0,0,0,0,0,0,-5,-4,-3,-2,-1,0]
[null,null,null,null,null,null,null,null,null,null,null,null,25,5,1,{"$f":"HLOOKUP(ID,$AA$195:$CB$207,4)","v":5},null,{"$f":"M197/P197","v":5},2,null,null,null,null,null,null,null,1,4,-2,-1,4,1,4,3,-1,-3,-2,1,-2,-1,-4,4,-1,-3,3,2,-3,4,4,4,1,4,2,4,4,4,2,1,3,-2,-2,3,-3,-2,-3,2,3,-1,-4,4,1,-4,-2,-2,4,-1,2,-3,3,-4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":3},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":3}]
[null,null,null,null,"Gesucht ist eine quadratische Funktion",null,{"$f":"P195","v":0},{"$f":"P198","v":-1},null,2,null,null,{"$f":"HLOOKUP(ID,$AA$195:$CB$207,5)","v":0.5},{"$f":"HLOOKUP(ID,$AA$195:$CB$207,6)","v":3},{"$f":"HLOOKUP(ID,$AA$195:$CB$207,7)","v":-1},{"$f":"M198*P195^2+N198*P195+O198","v":-1},null,{"$f":"IF(M195<0,\" - \",\"\")&IF(M195=0,\"\",IF(ABS(M195)=1,\" a \",ABS(M195)&\" a \"))&IF(N195>0,IF(M195<>0,\" + \",\"\"),\"\")&IF(N195<0,\" - \",\"\")&IF(N195=0,\"\",IF(ABS(N195)=1,\" b \",ABS(N195)&\" b \"))&IF(O195>0,IF(M195^2+N195^2<>0,\" + \",\"\"),\"\")&IF(O195<0,\" - \",\"\")&IF(O195=0,\"\",IF(ABS(O195)=1,\" c \",ABS(O195)&\" c \"))&\" = \"&P198","v":" c  = -1"},null,null,null,null,null,null,null,null,5,5,-4,-3,6,-1,6,2,5,-1,5,-1,-1,1,-6,2,5,-1,2,1,-5,6,2,3,3,2,3,2,6,2,1,3,4,-3,-3,2,-2,-3,-1,4,2,-2,-2,2,3,-2,-4,-4,5,5,3,-4,1,-2,{"$f":"IF(CC203=0,5,CC203)","v":3},{"$f":"IF(CD203=0,5,CD203)","v":5},{"$f":"IF(CE203=0,5,CE203)","v":2}]
[null,null,null,null,"f(x)=a x^2 + b x + c",null,{"$f":"P196","v":1},{"$f":"P199","v":2.5},null,null,null,null,{"$f":"HLOOKUP(ID,$AA$195:$CB$207,5)","v":0.5},{"$f":"HLOOKUP(ID,$AA$195:$CB$207,6)","v":3},{"$f":"HLOOKUP(ID,$AA$195:$CB$207,7)","v":-1},{"$f":"M199*P196^2+N199*P196+O199","v":2.5},null,{"$f":"IF(M196<0,\" - \",\"\")&IF(M196=0,\"\",IF(ABS(M196)=1,\" a \",ABS(M196)&\" a \"))&IF(N196>0,IF(M196<>0,\" + \",\"\"),\"\")&IF(N196<0,\" - \",\"\")&IF(N196=0,\"\",IF(ABS(N196)=1,\" b \",ABS(N196)&\" b \"))&IF(O196>0,IF(M196^2+N196^2<>0,\" + \",\"\"),\"\")&IF(O196<0,\" - \",\"\")&IF(O196=0,\"\",IF(ABS(O196)=1,\" c \",ABS(O196)&\" c \"))&\" = \"&P199","v":" a  +  b  +  c  = 2,5"},{"$f":"IF(M196<0,\" - \",\"\")&IF(M196=0,\"\",IF(ABS(M196)=1,\" a \",ABS(M196)&\" a \"))&IF(N196>0,IF(M196<>0,\" + \",\"\"),\"\")&IF(N196<0,\" - \",\"\")&IF(N196=0,\"\",IF(ABS(N196)=1,\" b \",ABS(N196)&\" b \"))&IF(O198>0,IF(M196^2+N196^2<>0,\" + \",\"\"),\"\")&IF(O198<0,\" - \",\"\")&IF(O198=0,\"\",IF(ABS(O198)=0,\"\",ABS(O198)))&\" = \"&P199","v":" a  +  b  - 1 = 2,5"},{"$f":"IF(M196<0,\" - \",\"\")&IF(M196=0,\"\",IF(ABS(M196)=1,\" a \",ABS(M196)&\" a \"))&IF(N196>0,IF(M196<>0,\" + \",\"\"),\"\")&IF(N196<0,\" - \",\"\")&IF(N196=0,\"\",IF(ABS(N196)=1,\" b \",ABS(N196)&\" b \"))&\" = \"&P199-O198","v":" a  +  b  = 3,5"},{"$f":"IF(P196<0,\"-\",\"\")&IF(P196=0,\"\",IF(ABS(P196)=1,\"a+b\",P196&\"a+b\")&\"=\"&(P199-O199)/P196)","v":"a+b=3,5"},{"$f":"IF(Q196<0,\"-\",\"\")&IF(Q196=0,\"\",IF(ABS(Q196)=1,\"a+b\",Q196&\"a+b\")&\"=\"&(Q199-P199)/Q196)","v":""},null,null,null,null,0.5,-1,-1,1,-1,0.5,-1,0.5,1,1,-1,0.5,0.5,-1,1,-0.5,-0.5,0.5,1,-1,0.5,-1,0.5,0.5,1,-1,-1,0.5,-1,-0.5,-0.5,-0.5,-0.5,-1,-1,-0.5,-1,-0.5,0.5,1,-1,0.5,-1,1,0.5,1,-1,-1,-0.5,-1,0.5,1,1,-0.5,{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":-1},{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":-0.5},{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":-1}]
[null,null,null,null,null,null,{"$f":"P197","v":5},{"$f":"P200","v":26.5},null,null,null,null,{"$f":"HLOOKUP(ID,$AA$195:$CB$207,5)","v":0.5},{"$f":"HLOOKUP(ID,$AA$195:$CB$207,6)","v":3},{"$f":"HLOOKUP(ID,$AA$195:$CB$207,7)","v":-1},26.5,null,{"$f":"IF(M197<0,\" - \",\"\")&IF(M197=0,\"\",IF(ABS(M197)=1,\" a \",ABS(M197)&\" a \"))&IF(N197>0,IF(M197<>0,\" + \",\"\"),\"\")&IF(N197<0,\" - \",\"\")&IF(N197=0,\"\",IF(ABS(N197)=1,\" b \",ABS(N197)&\" b \"))&IF(O197>0,IF(M197^2+N197^2<>0,\" + \",\"\"),\"\")&IF(O197<0,\" - \",\"\")&IF(O197=0,\"\",IF(ABS(O197)=1,\" c \",ABS(O197)&\" c \"))&\" = \"&P200","v":"25 a  + 5 b  +  c  = 26,5"},{"$f":"IF(M197<0,\" - \",\"\")&IF(M197=0,\"\",IF(ABS(M197)=1,\" a \",ABS(M197)&\" a \"))&IF(N197>0,IF(M197<>0,\" + \",\"\"),\"\")&IF(N197<0,\" - \",\"\")&IF(N197=0,\"\",IF(ABS(N197)=1,\" b \",ABS(N197)&\" b \"))&IF(O199>0,IF(M197^2+N197^2<>0,\" + \",\"\"),\"\")&IF(O199<0,\" - \",\"\")&IF(O199=0,\"\",IF(ABS(O199)=0,\"\",ABS(O199)))&\" = \"&P200","v":"25 a  + 5 b  - 1 = 26,5"},{"$f":"IF(M197<0,\" - \",\"\")&IF(M197=0,\"\",IF(ABS(M197)=1,\" a \",ABS(M197)&\" a \"))&IF(N197>0,IF(M197<>0,\" + \",\"\"),\"\")&IF(N197<0,\" - \",\"\")&IF(N197=0,\"\",IF(ABS(N197)=1,\" b \",ABS(N197)&\" b \"))&\" = \"&P200-O199","v":"25 a  + 5 b  = 27,5"},{"$f":"IF(P197<0,\"-\",\"\")&IF(P197=0,\"\",IF(ABS(P197)=1,\"a+b\",P197&\"a+b\")&\"=\"&(P200-O200)/P197)","v":"5a+b=5,5"},null,null,null,null,null,3,4,1,-1,-1,-4,3,-4,3,-3,-1,4,1,4,-4,-3,-3,-1,2,4,-4,-1,-1,-2,-2,2,1,-3,1,4,-4,2,-1,2,-3,3,-4,-3,-1,-3,-2,2,-3,4,4,-1,3,3,1,3,1,3,-2,1,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":4},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":3}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,null,null,null,null,null,null,null,null,null,null,null,-1,4,2,2,3,-1,-1,-2,-1,1,1,-3,-2,-4,3,-2,-3,2,2,-4,3,3,-1,1,-3,4,-2,2,3,-3,-1,-4,3,-3,1,-4,-4,-2,2,-2,4,-3,3,-1,2,-2,-3,-3,1,-2,-2,4,-4,2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-1},-3,2]
[null,{"$f":"IF(T202<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,{"$f":"M198","v":0.5},3,-1,{"$f":"P198","v":-1},null,null,null,{"$f":"IF(ISBLANK(Aufgaben!E185),\"\",IF(Aufgaben!E185=O198,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M199","v":0.5},{"$f":"N199","v":3},{"$f":"O199","v":-1},{"$f":"P199","v":2.5},null,null,null,null,null,null,null,null,null,null,0,5,-4,-3,6,-1,6,2,0,-1,0,-1,-1,1,-6,2,0,-1,2,1,-5,6,2,3,3,2,3,2,6,2,1,3,4,-3,-3,2,-2,-3,-1,4,2,-2,-2,2,3,-2,-4,-4,5,0,3,-4,1,-2,{"$f":"CC197+RANDBETWEEN(1,2)*(-1)^RANDBETWEEN(1,2)","v":3},{"$f":"CD197+RANDBETWEEN(1,2)*(-1)^RANDBETWEEN(1,2)","v":5},{"$f":"CE197+RANDBETWEEN(1,2)*(-1)^RANDBETWEEN(1,2)","v":2}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M200","v":0.5},{"$f":"N200","v":3},{"$f":"O200","v":-1},{"$f":"P200","v":26.5},null,null,null,{"$f":"IF(E189=\"\",\"\",IF((Aufgaben!E187-hidden!M198)^2+(Aufgaben!E188-hidden!N198)^2+(Aufgaben!E189-hidden!O198)^2=0,\"korrekt!\",\"\"))","v":""}]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M198","v":0.5},3,-1,{"$f":"P202","v":-1}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M199","v":0.5},3,-1,{"$f":"P203","v":2.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M200","v":0.5},3,-1,{"$f":"P204","v":26.5}]
[]
[]
[]
[2,null,null,null,{"$f":"\"Aufgabe \"&A213&\" \"&E214","v":"Aufgabe 2 (quadratische Funktion, d nicht gegeben)"},6,null,null,null,null,null,null,{"$f":"P213^2","v":9},{"$f":"P213","v":-3},1,{"$f":"HLOOKUP(ID,$AA$214:$CB$220,2)","v":-3}]
[null,null,null,null,"(quadratische Funktion, d nicht gegeben)",null,null,null,null,null,null,null,{"$f":"P214^2","v":16},{"$f":"P214","v":-4},1,{"$f":"HLOOKUP(ID,$AA$214:$CB$220,3)","v":-4},null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,null,null,null,null,null,null,null,null,null,null,null,4,2,1,{"$f":"HLOOKUP(ID,$AA$214:$CB$220,4)","v":2},null,null,null,null,null,null,null,null,null,null,-3,-2,-4,3,-2,3,4,-4,1,4,-2,3,-4,1,-2,1,-3,-1,-2,2,-3,-1,1,-2,-1,-1,4,1,2,-4,-1,1,-3,-2,-1,4,3,1,2,-1,3,4,-2,1,3,2,1,1,-4,-4,4,-2,-3,2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":3}]
[null,null,null,null,"Gesucht ist eine quadratische Funktion",null,{"$f":"P213","v":-3},{"$f":"P216","v":-1},-4,{"$f":"$M$216*I216^2+$N$216*I216+$O$216","v":4},null,null,{"$f":"HLOOKUP(ID,$AA$214:$CB$220,5)","v":1},{"$f":"HLOOKUP(ID,$AA$214:$CB$220,6)","v":2},{"$f":"HLOOKUP(ID,$AA$214:$CB$220,7)","v":-4},{"$f":"M216*P213^2+N216*P213+O216","v":-1},null,{"$f":"IF(M213<0,\"-\",\"\")&IF(M213=0,\"\",IF(ABS(M213)=1,\"a\",ABS(M213)&\"a\"))&IF(N213>0,IF(M213<>0,\"+\",\"\"),\"\")&IF(N213<0,\"-\",\"\")&IF(N213=0,\"\",IF(ABS(N213)=1,\"b\",ABS(N213)&\"b\"))&IF(O213>0,IF(M213^2+N213^2<>0,\"+\",\"\"),\"\")&IF(O213<0,\"-\",\"\")&IF(O213=0,\"\",IF(ABS(O213)=1,\"c\",ABS(O213)&\"c\"))&\"=\"&P216","v":"9a-3b+c=-1"},null,null,null,null,null,null,null,null,-4,-6,-8,7,2,4,1,0,-1,5,0,-1,0,4,-6,4,1,2,-5,-2,-2,1,3,2,-4,3,5,4,1,-7,2,4,-1,-5,0,2,4,-1,-2,-5,2,3,-3,2,2,1,0,-3,-6,-6,6,-3,-6,-2,{"$f":"CC215+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-4},{"$f":"CD215+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-6},{"$f":"CE215+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":5}]
[null,null,null,null,"f(x)=a x^2 + b x + c",null,{"$f":"P214","v":-4},{"$f":"P217","v":4},{"$f":"I216+1","v":-3},{"$f":"$M$216*I217^2+$N$216*I217+$O$216","v":-1},null,null,{"$f":"M216","v":1},{"$f":"N216","v":2},-4,{"$f":"M217*P214^2+N217*P214+O217","v":4},null,{"$f":"IF(M214<0,\"-\",\"\")&IF(M214=0,\"\",IF(ABS(M214)=1,\"a\",ABS(M214)&\"a\"))&IF(N214>0,IF(M214<>0,\"+\",\"\"),\"\")&IF(N214<0,\"-\",\"\")&IF(N214=0,\"\",IF(ABS(N214)=1,\"b\",ABS(N214)&\"b\"))&IF(O214>0,IF(M214^2+N214^2<>0,\"+\",\"\"),\"\")&IF(O214<0,\"-\",\"\")&IF(O214=0,\"\",IF(ABS(O214)=1,\"c\",ABS(O214)&\"c\"))&\"=\"&P217","v":"16a-4b+c=4"},null,null,null,null,null,null,null,null,2,-1,3,4,4,5,5,4,2,-4,2,-3,-3,-1,1,-1,-4,3,2,3,-4,3,2,-1,4,-3,1,-3,3,4,4,5,0,-4,4,-4,-3,-2,4,3,-4,-4,3,3,-4,3,-4,2,-2,-1,-1,2,-2,3,{"$f":"IF((CC222-CC215)*(CC222-CC216)=0,MAX(CC216,CC215)+1,CC222)","v":-1},{"$f":"IF((CD222-CD215)*(CD222-CD216)=0,MAX(CD216,CD215)+1,CD222)","v":2},{"$f":"IF((CE222-CE215)*(CE222-CE216)=0,MAX(CE216,CE215)+1,CE222)","v":4}]
[null,null,null,null,null,null,{"$f":"P215","v":2},{"$f":"P218","v":4},{"$f":"I217+1","v":-2},-4,null,null,{"$f":"M217","v":1},{"$f":"N217","v":2},{"$f":"O217","v":-4},4,null,{"$f":"IF(M215<0,\"-\",\"\")&IF(M215=0,\"\",IF(ABS(M215)=1,\"a\",ABS(M215)&\"a\"))&IF(N215>0,IF(M215<>0,\"+\",\"\"),\"\")&IF(N215<0,\"-\",\"\")&IF(N215=0,\"\",IF(ABS(N215)=1,\"b\",ABS(N215)&\"b\"))&IF(O215>0,IF(M215^2+N215^2<>0,\"+\",\"\"),\"\")&IF(O215<0,\"-\",\"\")&IF(O215=0,\"\",IF(ABS(O215)=1,\"c\",ABS(O215)&\"c\"))&\"=\"&P218","v":"4a+2b+c=4"},null,null,null,null,null,null,null,null,1,-1,0.5,-1,1,1,-0.5,-1,-1,-0.5,1,1,1,-0.5,1,0.5,1,-1,-1,-1,-1,-1,1,1,1,-1,1,-1,0.5,-0.5,-1,1,-1,1,-1,-0.5,-0.5,0.5,-0.5,0.5,0.5,-0.5,0.5,-1,-0.5,1,0.5,-1,-1,1,0.5,-1,0.5,1,{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":1}]
[null,null,null,null,null,null,null,null,-1,-5,null,null,null,null,3,null,null,null,null,null,null,null,null,null,null,null,2,4,4,-3,-4,3,1,-1,-1,2,-2,3,3,1,3,-2,3,-4,2,2,4,-1,-4,3,-3,-3,1,2,-1,-3,-2,-2,-1,-3,-1,1,-4,-1,2,1,1,-4,-2,1,-2,-1,1,1,-1,3,3,-2,3,-1,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2}]
[null,null,null,null,null,null,null,null,0,-4,null,null,{"$f":"M216","v":1},2,-4,{"$f":"P216","v":-1},null,null,null,null,null,null,null,null,null,null,-4,4,-4,-4,-3,4,3,3,4,3,-4,2,4,-3,-4,-4,-2,2,-2,-1,-4,-3,3,-2,-4,3,4,-4,2,-1,1,-3,1,-2,-1,-2,3,-3,4,3,2,1,-2,4,4,-1,3,1,3,2,-2,-1,-1,2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3},4,-1]
[null,null,null,null,null,null,null,null,1,-1,null,null,1,{"$f":"N217","v":2},-4,{"$f":"P217","v":4}]
[null,null,null,null,null,null,null,null,2,4,null,null,{"$f":"M218","v":1},{"$f":"N218","v":2},{"$f":"O218","v":-4},{"$f":"P218","v":4},null,null,null,null,null,null,null,null,null,null,2,-1,3,4,4,3,1,4,-1,-4,2,-3,-3,-1,1,-1,-4,-1,2,2,-4,3,2,-1,4,-3,1,-3,2,4,4,4,-1,-4,4,-4,-3,-2,4,3,-4,-4,3,1,-4,3,-4,1,-2,-1,-1,2,-2,-2,{"$f":"CC221+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-1},{"$f":"CD221+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":2},{"$f":"CE221+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":4}]
[null,null,null,null,null,null,null,null,3,11]
[null,null,null,null,null,null,null,null,4,20]
[null,null,null,null,null,null,null,null,5,31,null,null,{"$f":"M216","v":1},2,-4,{"$f":"P220","v":-1}]
[null,null,null,null,null,null,null,null,6,44,null,null,{"$f":"M217","v":1},2,-4,{"$f":"P221","v":4}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M218","v":1},2,-4,{"$f":"P222","v":4}]
[]
[]
[3,null,null,null,{"$f":"\"Aufgabe \"&A230&\" \"&E231","v":"Aufgabe 3 (kubische Funktion, d gegeben)"},7,null,null,null,null,null,null,{"$f":"P230^3","v":-8},{"$f":"P230^2","v":4},{"$f":"P230","v":-2},{"$f":"HLOOKUP(ID,$AA$231:$CB$240,2)","v":-2}]
[null,null,null,null,"(kubische Funktion, d gegeben)",null,null,null,null,null,null,null,{"$f":"P231^3","v":-1},{"$f":"P231^2","v":1},{"$f":"P231","v":-1},{"$f":"HLOOKUP(ID,$AA$231:$CB$240,3)","v":-1},null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,null,null,null,null,null,0,{"$f":"L233","v":-7},null,null,null,null,1,1,1,{"$f":"HLOOKUP(ID,$AA$231:$CB$240,4)","v":1},null,null,null,null,null,null,null,null,null,"x1",-2,-2,-4,2,2,-4,-4,2,3,-3,4,-3,-4,-4,3,1,4,3,1,2,2,-1,1,3,1,1,2,-1,-4,-2,4,4,2,-1,3,-3,4,-4,3,-4,-4,3,2,3,-4,-3,-4,3,2,-2,1,3,1,4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":4},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2}]
[null,null,null,null,"Gesucht ist eine kubische Funktion",null,{"$f":"P230","v":-2},{"$f":"P233","v":-3},null,null,"c",{"$f":"HLOOKUP(ID,$AA$231:$CB$240,10)","v":-7},{"$f":"HLOOKUP(ID,$AA$231:$CB$240,5)","v":-0.5},{"$f":"HLOOKUP(ID,$AA$231:$CB$240,6)","v":1},{"$f":"HLOOKUP(ID,$AA$231:$CB$240,7)","v":2},{"$f":"M233*P230^3+N233*P230^2 +O233*P230+L233","v":-3},null,{"$f":"IF(M230<0,\"-\",\"\")&IF(M230=0,\"\",IF(ABS(M230)=1,\"a\",ABS(M230)&\"a\"))&IF(N230>0,IF(M230<>0,\"+\",\"\"),\"\")&IF(N230<0,\"-\",\"\")&IF(N230=0,\"\",IF(ABS(N230)=1,\"b\",ABS(N230)&\"b\"))&IF(O230>0,IF(M230^2+N230^2<>0,\"+\",\"\"),\"\")&IF(O230<0,\"-\",\"\")&IF(O230=0,\"\",IF(ABS(O230)=1,\"c\",ABS(O230)&\"c\"))&\"=\"&P233-L233","v":"-8a+4b-2c=4"},{"$f":"IF(M230<0,\"-\",\"\")&IF(M230=0,\"\",IF(ABS(M230)=1,\"a\",ABS(M230)&\"a\"))&IF(N230>0,IF(M230<>0,\"+\",\"\"),\"\")&IF(N230<0,\"-\",\"\")&IF(N230=0,\"\",IF(ABS(N230)=1,\"b\",ABS(N230)&\"b\"))&IF(O230>0,IF(M230^2+N230^2<>0,\"+\",\"\"),\"\")&IF(O230<0,\"-\",\"\")&IF(O230=0,\"\",IF(ABS(O230)=1,\"c\",ABS(O230)&\"c\"))&\"=\"&P233-L233","v":"-8a+4b-2c=4"},null,null,null,null,null,null,"x2",-1,-5,-1,3,6,-1,-5,6,5,-5,6,1,-1,-3,6,2,6,7,3,5,4,1,4,5,2,3,6,3,-3,2,7,6,5,3,6,-1,6,-2,7,-3,-5,7,4,4,-2,-1,-3,7,4,1,2,4,3,6,{"$f":"IF(CC232+CC241=0,-5,CC232+CC241)","v":7},{"$f":"IF(CD232+CD241=0,-5,CD232+CD241)","v":5},{"$f":"IF(CE232+CE241=0,-5,CE232+CE241)","v":-1}]
[null,null,null,null,null,null,{"$f":"P231","v":-1},{"$f":"P234","v":0.5},null,null,null,null,{"$f":"M233","v":-0.5},{"$f":"N233","v":1},2,{"$f":"M234*P231^2+N234*P231+O234","v":0.5},null,null,null,null,null,null,null,null,null,"x3",1,4,-5,-1,-2,-2,3,-3,-3,-4,-1,2,-2,2,-3,4,-3,-3,-2,-3,1,2,-3,-5,-3,-1,1,-5,1,-1,-4,-5,-5,-5,-5,1,-2,-5,-3,1,3,2,3,1,-3,-5,-1,2,-5,-4,-3,-5,2,2,{"$f":"IF((CC239-CC232)*(CC239-CC233)=0,-5,CC239)","v":1},{"$f":"IF((CD239-CD232)*(CD239-CD233)=0,-5,CD239)","v":3},{"$f":"IF((CE239-CE232)*(CE239-CE233)=0,-5,CE239)","v":-3}]
[null,null,null,null,null,null,{"$f":"P232","v":1},{"$f":"P235","v":2.5},null,null,null,null,{"$f":"M234","v":-0.5},1,2,2.5,null,null,null,null,null,null,null,null,null,null,-0.5,-1,0.5,0.5,-0.5,-1,0.5,-1,1,-0.5,-1,-0.5,1,-1,-1,1,1,0.5,-1,-0.5,-0.5,-0.5,1,-1,1,-0.5,1,-1,-1,0.5,1,0.5,-0.5,-0.5,0.5,-1,1,-1,0.5,-1,-1,-1,-1,-1,-0.5,1,-1,0.5,-1,-0.5,-0.5,0.5,1,-1,{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":-1},{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":-0.5},{"$f":"RANDBETWEEN(1,2)/2*(-1)^RANDBETWEEN(1,2)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,-3,2,-3,4,3,2,-2,-4,-3,4,-2,1,-4,-2,3,-4,-2,3,-3,4,3,3,-3,-4,-1,-2,-3,4,3,3,-3,-2,3,-4,-4,4,-4,-4,-3,-1,1,-3,1,2,1,4,-4,-1,-1,-1,-4,4,-2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-2},{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":3}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M233","v":-0.5},1,2,{"$f":"P233","v":-3},null,null,null,null,null,null,null,null,null,null,2,3,2,-4,-4,-3,-3,4,-1,3,1,-4,1,-1,-1,-1,-3,-2,4,-1,-3,3,4,-4,-1,-4,-2,-1,-4,1,-3,-3,3,-4,4,4,-4,1,2,-3,-3,-4,2,-2,2,3,-2,1,-4,-2,-2,3,-3,-2,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3},-2,-2]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M234","v":-0.5},{"$f":"N234","v":1},{"$f":"O234","v":2},{"$f":"P234","v":0.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M235","v":-0.5},{"$f":"N235","v":1},{"$f":"O235","v":2},{"$f":"P235","v":2.5},null,null,null,null,null,null,null,null,null,"c",1,4,-4,-1,-2,-2,3,-3,-3,-4,-1,2,-2,2,-3,4,-3,-3,-2,-3,1,2,-3,3,-3,-1,1,3,1,-1,-4,4,2,-1,3,1,-2,-2,-3,1,3,2,3,1,-3,-1,-1,2,4,-4,-3,3,2,2,{"$f":"CC238+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"CD238+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":3},{"$f":"CE238+RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(1,2)","v":-3}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-7,-15,-9,-12,7,-13,-1,12,-2,9,-6,4,9,-5,-13,-8,7,3,14,15,9,10,14,-14,-12,-14,-10,-4,-2,-14,-9,-9,9,-13,4,7,13,1,11,-10,-10,-4,-13,13,-5,9,-9,9,-1,9,-12,2,-1,9,{"$f":"RANDBETWEEN(1,15)*(-1)^RANDBETWEEN(1,2)","v":1},{"$f":"RANDBETWEEN(1,15)*(-1)^RANDBETWEEN(1,2)","v":-15},{"$f":"RANDBETWEEN(1,15)*(-1)^RANDBETWEEN(1,2)","v":8}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,2,3,1,4,3,4,4,2,3,2,4,3,1,3,1,2,4,2,3,2,2,3,2,1,2,4,4,1,4,3,2,3,4,3,2,2,2,4,1,4,4,2,1,2,2,1,4,2,3,1,1,2,2,{"$f":"RANDBETWEEN(1,4)","v":3},{"$f":"RANDBETWEEN(1,4)","v":3},{"$f":"RANDBETWEEN(1,4)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M233","v":-0.5},1,2,{"$f":"P237","v":-3}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M234","v":-0.5},1,2,{"$f":"P238","v":0.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M235","v":-0.5},1,2,{"$f":"P239","v":2.5}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Muster der Steigungen"]
[]
[1,null,null,null,{"$f":"\"Aufgabe \"&A256&\" \"&E257","v":"Aufgabe 1 (Hinführung zur Differentialrechnung)"},null,null,null,null,null,"Koord",null,"Stellen",null,"Koord Abl","Abl",null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,{"$f":"IF(R257<>\"\",1,0)","v":0},null,null,"(Hinführung zur Differentialrechnung)",null,null,null,null,"a",{"$f":"HLOOKUP(ID,$AA$256:$CB$264,2)","v":1},"x1",{"$f":"HLOOKUP(ID,$AA$256:$CB$264,6)","v":-3},null,null,{"$f":"$O$258*M257+$O$259","v":-2},null,{"$f":"IF(ISBLANK(Aufgaben!C242),\"\",IF(Aufgaben!C242=P257,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,"a",1,0.5,-1,0.5,-1,0.5,-0.5,2,0.5,-2,0.5,0.5,-2,-0.5,0.5,0.5,-0.5,1,-2,2,0.5,-2,-0.5,-2,0.5,-2,0.5,2,-2,-2,-1,-2,0.5,2,-2,1,-0.5,0.5,2,2,1,-1,0.5,0.5,-0.5,-0.5,-1,-1,-2,-0.5,-2,-1,0.5,-1,{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-1,1))","v":2},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-1,1))","v":-0.5},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-1,1))","v":1}]
[null,{"$f":"IF(R258<>\"\",1,0)","v":0},null,null,{"$f":"IF(K257<0,\" - \",\"\")&IF(K257=0,\"\",IF(ABS(K257)=1,\" x^2 \",ABS(K257)&\" x^2 \"))&IF(K258>0,IF(K257<>0,\" + \",\"\"),\"\")&IF(K258<0,\" - \",\"\")&IF(K258=0,\"\",IF(ABS(K258)=1,\" x \",ABS(K258)&\" x \"))&IF(K259>0,IF(K257^2+K258^2<>0,\" + \",\"\"),\"\")&IF(K259<0,\" - \",\"\")&IF(K259=0,\"\",IF(ABS(K259)=1,\"1\",ABS(K259)&\"\"))","v":" x^2  + 4 x  + 6"},null,null,null,null,"b",{"$f":"HLOOKUP(ID,$AA$256:$CB$264,2)*2*HLOOKUP(ID,$AA$256:$CB$264,3)","v":4},"x2",{"$f":"HLOOKUP(ID,$AA$256:$CB$264,7)","v":-1},null,{"$f":"2*K257","v":2},{"$f":"$O$258*M258+$O$259","v":2},null,{"$f":"IF(ISBLANK(Aufgaben!C243),\"\",IF(Aufgaben!C243=P258,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,"xS",2,-2,4,3,0,4,-5,-4,0,1,-4,-2,2,-5,-2,-4,3,-3,-5,-1,4,0,-3,-4,-5,-3,5,-4,2,5,3,-4,-5,-5,-5,-2,-3,1,-4,5,5,-3,3,-1,-4,2,-3,-5,1,-5,5,-3,-3,0,{"$f":"RANDBETWEEN(-5,5)","v":5},{"$f":"RANDBETWEEN(-5,5)","v":0},{"$f":"RANDBETWEEN(-5,5)","v":-1}]
[null,{"$f":"IF(R259<>\"\",1,0)","v":0},null,null,null,null,null,null,null,"c",{"$f":"HLOOKUP(ID,$AA$256:$CB$264,2)*HLOOKUP(ID,$AA$256:$CB$264,3)^2+HLOOKUP(ID,$AA$256:$CB$264,4)","v":6},"x3",{"$f":"HLOOKUP(ID,$AA$256:$CB$264,8)","v":1},null,{"$f":"K258","v":4},6,null,{"$f":"IF(ISBLANK(Aufgaben!C244),\"\",IF(Aufgaben!C244=P259,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,"yS",2,-1,-4,4,1,-4,5,-4,-2,-3,-1,-2,-4,1,3,4,3,4,4,2,-5,-1,3,-5,3,-5,-4,-1,3,-1,3,3,0,-4,2,0,-4,3,4,-5,5,-5,0,3,5,4,-3,-5,-1,2,-3,4,4,-2,{"$f":"RANDBETWEEN(-5,5)","v":-1},2,-1]
[null,null,null,null,null,null,null,null,null,null,null,"x4",{"$f":"HLOOKUP(ID,$AA$256:$CB$264,9)","v":3},null,null,10,null,{"$f":"IF(ISBLANK(Aufgaben!C245),\"\",IF(Aufgaben!C245=P260,\"richtig!\",\"\"))","v":""}]
["*",null,null,null,null,null,-5,{"$f":"$K$257*G261^2+$K$258*G261+$K$259","v":11},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-3,-4,-4,-3,-3,-4,-2,-2,-3,-3,-2,-2,-3,-4,-2,-2,-3,-4,-3,-3,-2,-2,-2,-4,-3,-4,-3,-2,-3,-3,-4,-3,-4,-2,-4,-4,-3,-2,-3,-4,-4,-2,-4,-2,-2,-3,-2,-4,-3,-4,-3,-4,-2,-2,{"$f":"RANDBETWEEN(-4,-2)","v":-2},{"$f":"RANDBETWEEN(-4,-2)","v":-2},{"$f":"RANDBETWEEN(-4,-2)","v":-3}]
["*",null,null,null,{"$f":"\"Gegeben ist die Funktion f mit f(x)=\"&E258","v":"Gegeben ist die Funktion f mit f(x)= x^2  + 4 x  + 6"},null,{"$f":"G261+1","v":-4},{"$f":"$K$257*G262^2+$K$258*G262+$K$259","v":6},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-1,-1,-2,-2,-1,-1,0,-1,0,0,-1,0,0,-2,0,-1,-1,-1,-2,-1,0,-1,0,-3,0,-3,-2,1,0,-1,-2,-1,-1,0,-3,-2,-2,1,-2,-2,-1,0,-2,-1,1,0,0,-2,-1,-1,-1,-2,-1,-1,{"$f":"CC261+RANDBETWEEN(1,3)","v":1},{"$f":"CD261+RANDBETWEEN(1,3)","v":0},{"$f":"CE261+RANDBETWEEN(1,3)","v":0}]
["*",null,null,null,"Vervollständige die Tabelle, ",null,{"$f":"IF(H262=0,G262,G262+1)","v":-3},3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,2,-1,0,2,0,3,1,3,2,2,3,1,1,3,1,0,0,-1,2,3,1,3,0,1,0,0,2,2,2,0,2,0,3,-2,-1,-1,2,0,1,1,3,1,1,2,2,2,0,2,1,2,0,0,0,{"$f":"CC262+RANDBETWEEN(1,3)","v":2},1,1]
["*",null,null,null,"indem du zu den angegebenen Stellen",null,-2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,5,0,1,5,3,6,2,5,5,3,5,4,2,5,3,1,3,1,5,6,4,4,2,4,3,3,4,3,4,3,4,3,6,-1,1,0,5,1,4,4,6,3,4,5,3,5,3,3,4,5,1,1,2,{"$f":"CC263+RANDBETWEEN(1,3)","v":4},2,2]
["*",null,null,null,"jeweils die Steigung näherungsweise ",null,-1,3]
["*",null,null,null,"berechnest und einträgst.",null,0,6]
["*",null,null,null,null,null,1,11]
["*",null,null,null,null,null,2,18,null,null,null,"x",{"$f":"M257","v":-3},{"$f":"M258","v":-1},{"$f":"M259","v":1},{"$f":"M260","v":3}]
[null,null,null,null,null,null,3,27,null,null,null,"f(x)",{"$f":"P257","v":-2},{"$f":"P258","v":2},{"$f":"P259","v":6},{"$f":"P260","v":10}]
[null,null,null,null,"Deine Punkte ergeben ein Muster.",null,4,38]
[null,null,null,null,"Stell die zugehörige Funktionsgleichung auf.",null,5,51]
[null,{"$f":"IF(R272<>\"\",1,0)","v":0},null,null,null,null,6,66,null,null,"f´(x)",{"$f":"IF(O257<0,\"-\",\"\")&IF(O257=0,\"\",IF(ABS(O257)=1,\"x^2\",ABS(O257)&\"x^2\"))&IF(O258>0,IF(O257<>0,\"+\",\"\"),\"\")&IF(O258<0,\"-\",\"\")&IF(O258=0,\"\",IF(ABS(O258)=1,\"x\",ABS(O258)&\"x\"))&IF(O259>0,IF(O257^2+O258^2<>0,\"+\",\"\"),\"\")&IF(O259<0,\"-\",\"\")&IF(O259=0,\"\",IF(ABS(O259)=1,\"1\",ABS(O259)&\"\"))","v":"2x+4"},null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!B251),\"\",IF(Aufgaben!B251=L272,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,7,83]
[]
[7,"Differentialrechnung"]
[]
[1,null,null,null,{"$f":"\"Aufgabe \"&A277&\" \"&E278","v":"Aufgabe 1 (grafisches  Ableiten)"}]
[null,null,null,null,"(grafisches  Ableiten)",null,null,null,null,null,null,null,null,null,"Verschiebung nach rechts linkd",null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,null,null,null,"a)",null,-7,{"$f":"$K$425*G279^3+$K$426*G279^2+$K$427*G279+$K$428","v":10},null,"x^3",null,null,{"$f":"-1*K279","v":0},null,{"$f":"HLOOKUP(ID,$AA$278:$CB$289,5)","v":-2},null,null,null,null,null,null,null,null,null,2,"a",1,-1,-1,-1,-1,2,2,1,-2,-4,-4,-2,-4,1,1,2,4,-4,-1,1,-1,4,-2,-2,-2,2,1,1,4,-2,1,-2,1,-1,-2,1,2,2,-2,-4,-1,-1,1,-2,-1,4,1,2,-2,1,-1,1,2,1,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-2},{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":4},4]
[null,null,"f(x)",null,{"$f":"IF(K280<0,\" - \",\"\")&IF(K280>0,\"\",\"\")&IF(K280=0,\"\",IF(ABS(K280)=1,\" x^2 \",ABS(K280)&\" x^2 \"))&IF(K281>0,IF(K280<>0,\" + \",\"\"),\"\")&IF(K281<0,\" - \",\"\")&IF(K281=0,\"\",IF(ABS(K281)=1,\" x \",ABS(K281)&\" x \"))&IF(K282>0,IF(K280^2+K281^2<>0,\" + \",\"\"),\"\")&IF(K282<0,\" - \",\"\")&IF(K282=0,\"\",IF(ABS(K282)=1,\"1\",ABS(K282)&\"\"))","v":" x^2  - 2 x  + 4"},null,{"$f":"G279+1","v":-6},{"$f":"$K$425*G280^3+$K$426*G280^2+$K$427*G280+$K$428","v":0},null,"x^2",{"$f":"HLOOKUP(ID,$AA$278:$CB$289,2)","v":1},{"$f":"3*K279","v":0},{"$f":"-1*K280","v":-1},0,null,null,null,null,null,null,null,null,null,null,3,"b",-2,4,0,-3,1,4,1,3,-5,-1,3,1,3,3,3,-3,-3,1,-5,-3,2,5,-4,-1,5,5,-1,-4,2,3,2,4,-3,3,-4,0,-3,-4,2,4,-4,-5,-1,-1,-2,-3,-2,4,0,0,0,0,-5,-1,{"$f":"RANDBETWEEN(-5,5)","v":-4},{"$f":"RANDBETWEEN(-5,5)","v":0},3]
[null,null,"f´(x)=",null,{"$f":"IF(L280<0,\"-\",\"\")&IF(L280>0,\"\",\"\")&IF(L280=0,\"\",IF(ABS(L280)=1,\"x^2\",ABS(L280)&\"x^2\"))&IF(L281>0,IF(L280<>0,\"+\",\"\"),\"\")&IF(L281<0,\"-\",\"\")&IF(L281=0,\"\",IF(ABS(L281)=1,\"x\",ABS(L281)&\"x\"))&IF(L282>0,IF(L280^2+L281^2<>0,\"+\",\"\"),\"\")&IF(L282<0,\"-\",\"\")&IF(L282=0,\"\",IF(ABS(L282)=1,\"1\",ABS(L282)&\"\"))","v":"2x-2"},null,{"$f":"G280+1","v":-5},{"$f":"$K$425*G281^3+$K$426*G281^2+$K$427*G281+$K$428","v":-6},null,"x",{"$f":"HLOOKUP(ID,$AA$278:$CB$289,3)","v":-2},{"$f":"2*K280","v":2},2,-2,null,null,null,null,null,null,null,null,null,null,4,"c",4,-21,1,-1,-1,-5,-1,12,1,3,1,-3,10,0,4,-1,5,-4,-2,2,1,-27,0,12,4,-2,-4,-5,13,4,-1,4,4,-1,-2,-2,-5,-2,4,13,5,5,-1,-2,14,-7,27,27,-14,-15,-2,2,24,-15,{"$f":"RANDBETWEEN(-30,32)","v":3},{"$f":"RANDBETWEEN(-30,32)","v":9},23]
[null,null,"f(x)=",null,{"$f":"IF(M279=1,\"\",IF(M279=-1,\"-\",M279))&\"x^3\"&IF(M280<0,\" - \",\"\")&IF(M280>0,\" + \",\"\")&IF(M280=0,\"\",IF(ABS(M280)=1,\" x^2 \",ABS(M280)&\" x^2 \"))&IF(M281>0,IF(M280<>0,\"+\",\"\"),\"\")&IF(M281<0,\"-\",\"\")&IF(M281=0,\"\",IF(ABS(M281)=1,\" x \",ABS(M281)&\" x \"))&IF(M282>0,IF(M280^2+M281^2<>0,\"+\",\"\"),\"\")&IF(M282<0,\" - \",\"\")&IF(M282=0,\"\",IF(ABS(M282)=1,\"1\",ABS(M282)&\"\"))","v":"0x^3 -  x^2 +2 x  - 4"},null,-4,{"$f":"$K$425*G282^3+$K$426*G282^2+$K$427*G282+$K$428","v":-8},null,1,{"$f":"HLOOKUP(ID,$AA$278:$CB$289,4)","v":4},{"$f":"K281","v":-2},-4,2,null,null,null,null,null,null,null,null,null,null,5,"verschieb",-2,-2,3,2,-5,-3,-2,-4,-5,-2,-2,2,-5,-2,2,-3,-3,-2,-3,-5,3,-2,3,-5,-2,-3,4,4,3,3,-5,-4,-5,3,-4,2,-4,-2,2,2,3,-3,3,-3,-4,-4,-2,5,2,3,5,-3,5,5,{"$f":"(-1)^RANDBETWEEN(0,1)*RANDBETWEEN(2,5)","v":5},{"$f":"(-1)^RANDBETWEEN(0,1)*RANDBETWEEN(2,5)","v":3},5]
[null,null,"f´(x)=",null,{"$f":"IF(N280<0,\"-\",\"\")&IF(N280>0,\"\",\"\")&IF(N280=0,\"\",IF(ABS(N280)=1,\"x^2\",ABS(N280)&\"x^2\"))&IF(N281>0,IF(N280<>0,\"+\",\"\"),\"\")&IF(N281<0,\"-\",\"\")&IF(N281=0,\"\",IF(ABS(N281)=1,\"x\",ABS(N281)&\"x\"))&IF(N282>0,IF(N280^2+N281^2<>0,\"+\",\"\"),\"\")&IF(N282<0,\"-\",\"\")&IF(N282=0,\"\",IF(ABS(N282)=1,\"1\",ABS(N282)&\"\"))","v":"-2x+2"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"sortZZ1",3,-2,28,50,-25,-12,-11,47,-9,25,-49,-8,5,36,-41,-21,-39,-14,-13,-10,47,-30,-28,4,24,-22,27,38,-40,7,-31,37,14,-38,18,28,-3,19,35,2,35,21,-18,41,-31,27,-28,-18,-33,19,4,14,34,33,{"$f":"RANDBETWEEN(-50,50)","v":-35},{"$f":"RANDBETWEEN(-50,50)","v":29},{"$f":"RANDBETWEEN(-50,50)","v":-47}]
[null,null,null,null,null,null,null,null,null,null,null,1,2,3,4,5,null,null,null,null,null,null,null,null,7,"sortZZ1",1,1,-11,-46,-28,26,-1,-18,-17,40,-45,-32,-21,26,-35,-29,-20,43,20,7,-27,4,-13,1,44,-33,37,42,-41,7,42,-20,-14,37,18,24,-26,42,-20,-6,-30,-19,49,-25,14,-46,7,-31,45,21,-43,24,-35,-19,{"$f":"RANDBETWEEN(-50,50)","v":-50},-18,6]
[null,null,null,null,null,null,null,null,null,-5,{"$f":"K$279*$J285^3+K$280*$J285^2+K$281*$J285+K$282","v":39},-12,-39,12,{"$f":"L$279*($J285-$O$279)^3+L$280*($J285-$O$279)^2+L$281*($J285-$O$279)+L$282","v":-8},{"$f":"-1*(L$279*($J285-$O$279)^3+L$280*($J285-$O$279)^2+L$281*($J285-$O$279)+L$282)","v":8},null,null,null,null,null,null,null,null,8,"sortZZ1",4,16,12,41,-50,-14,-36,-50,34,-8,-42,29,-11,-25,5,3,-42,-29,38,13,13,41,-5,-45,-10,-43,42,23,38,-19,48,-28,36,19,-43,-12,-44,-16,-14,-46,-47,-20,-27,-26,-1,-30,24,-47,-45,-39,7,26,-43,-9,{"$f":"RANDBETWEEN(-50,50)","v":5},-10,38]
[null,null,null,null,null,null,null,null,null,{"$f":"J285+1","v":-4},28,-10,-28,10,-6,6,null,null,null,null,null,null,null,null,9,"sortZZ1",5,-5,10,35,10,-2,6,5,-28,10,-3,-18,-2,28,25,-50,33,7,30,16,-11,15,40,-21,-16,-36,-26,-17,-29,-1,17,-37,-43,39,-49,-8,-23,15,37,-28,47,-30,-32,2,-17,22,31,42,10,37,-23,-19,-30,49,{"$f":"RANDBETWEEN(-50,50)","v":50},0,1]
[null,null,null,null,null,null,null,null,null,{"$f":"J286+1","v":-3},19,-8,-19,8,-4,4,null,null,null,null,null,null,null,null,10,"sortZZ1",2,47,41,19,10,-23,25,-4,-3,-12,-32,-10,27,50,-42,-43,33,-11,-24,15,-29,27,43,44,-35,-41,-38,0,38,-22,44,3,-16,-32,19,27,-37,-35,18,20,-4,26,45,-13,-12,-27,-8,21,-18,-14,-27,16,19,33,{"$f":"RANDBETWEEN(-50,50)","v":-24},{"$f":"RANDBETWEEN(-50,50)","v":-47},-23]
[null,null,null,null,null,null,null,null,null,-2,12,-6,-12,6,-2,2,null,null,null,null,null,null,null,null,11,"sort1",2,2,4,5,3,3,2,5,3,4,1,4,4,4,2,4,2,2,2,1,5,1,1,4,4,5,3,4,2,5,1,5,4,1,4,5,5,4,4,4,4,4,3,5,1,5,1,3,2,3,4,2,5,4,{"$f":"COUNTIF(CC283:CC287,\"<=\"&CC283)","v":2},{"$f":"COUNTIF(CD283:CD287,\"<=\"&CD283)","v":5},{"$f":"COUNTIF(CE283:CE287,\"<=\"&CE283)","v":1}]
[null,null,null,null,null,null,null,null,null,-1,7,-4,-7,4,0,0,null,null,null,null,null,null,null,null,12,"sorrt2",1,3,1,1,2,5,3,2,2,5,2,1,1,2,3,3,3,5,3,2,2,2,2,3,5,4,4,5,1,5,3,3,3,4,4,3,3,5,1,3,2,3,5,2,5,1,3,2,5,4,1,4,2,1,{"$f":"COUNTIF(CC283:CC287,\"<=\"&CC284)","v":1},{"$f":"COUNTIF(CD283:CD287,\"<=\"&CD284)","v":2},{"$f":"COUNTIF(CE283:CE287,\"<=\"&CE284)","v":4}]
[null,null,null,null,null,null,null,null,null,0,4,-2,-4,2,2,-2,null,null,null,null,null,null,null,null,13,"sort3",4,4,3,4,1,2,1,1,5,2,3,5,2,1,4,5,1,1,5,3,4,5,3,1,3,1,5,3,5,2,5,2,5,3,2,1,1,2,2,1,1,2,2,1,4,2,4,1,1,1,5,5,1,2,{"$f":"COUNTIF(CC283:CC287,\"<=\"&CC285)","v":4},{"$f":"COUNTIF(CD283:CD287,\"<=\"&CD285)","v":3},{"$f":"COUNTIF(CE283:CE287,\"<=\"&CE285)","v":5}]
[null,null,null,null,null,null,null,null,null,1,3,0,-3,0,4,-4,null,null,null,null,null,null,null,null,14,"sort4",5,1,2,3,5,4,4,4,1,3,5,2,3,3,5,1,5,4,4,5,3,3,4,2,2,3,2,1,3,3,2,1,1,5,1,2,4,3,5,2,5,1,1,4,2,4,5,5,4,5,3,1,3,5,{"$f":"COUNTIF(CC283:CC287,\"<=\"&CC286)","v":5},{"$f":"COUNTIF(CD283:CD287,\"<=\"&CD286)","v":4},{"$f":"COUNTIF(CE283:CE287,\"<=\"&CE286)","v":3}]
[null,null,null,null,null,null,null,null,null,2,4,2,-4,-2,6,-6,null,null,null,null,null,null,null,null,15,"sorf5",3,5,5,2,5,1,5,3,4,1,4,3,5,5,1,2,5,3,1,4,1,4,5,5,1,2,1,2,5,1,4,4,2,2,5,4,2,1,3,5,3,5,4,3,3,3,2,4,3,2,2,3,4,4,{"$f":"COUNTIF(CC283:CC287,\"<=\"&CC287)","v":3},{"$f":"COUNTIF(CD283:CD287,\"<=\"&CD287)","v":1},{"$f":"COUNTIF(CE283:CE287,\"<=\"&CE287)","v":2}]
[null,null,null,null,null,null,null,null,null,3,7,4,-7,-4,8,-8]
[null,null,null,null,null,null,null,null,null,4,12,6,-12,-6,10,-10]
[null,null,null,null,null,null,null,null,null,5,19,8,-19,-8,12,-12]
[]
[null,null,null,null,null,null,null,null,null,null,null,"A","B","C","D","E"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$278:$CB$295,11)","v":2},{"$f":"HLOOKUP(ID,$AA$278:$CB$295,12)","v":1},{"$f":"HLOOKUP(ID,$AA$278:$CB$295,13)","v":4},{"$f":"HLOOKUP(ID,$AA$278:$CB$295,14)","v":5},{"$f":"HLOOKUP(ID,$AA$278:$CB$295,15)","v":3}]
[null,null,null,null,null,null,"ist nicht ","ist",null,{"$f":"J285","v":-5},{"$f":"K285","v":39},{"$f":"IF(L$298=$L$284,$L285)+IF(L$298=$M$284,$M285,0)+IF(L$298=$N$284,$N285)+IF(L$298=$O$284,$O285)+IF(L$298=$P$284,$P285,0)","v":-39},-12,-8,8,12]
[null,null,null,null,null,null,"f´","f´",null,{"$f":"J286","v":-4},28,-28,-10,-6,6,10]
[null,null,null,null,null,"A",{"$f":"IF(AA288=1,\"\",\"x\")","v":"x"},{"$f":"IF(AA288=1,\"x\",\"\")","v":""},null,-3,19,-19,-8,-4,4,8]
[null,null,null,null,null,"B",{"$f":"IF(AA289=1,\"\",\"x\")","v":""},{"$f":"IF(AA289=1,\"x\",\"\")","v":"x"},null,-2,12,-12,-6,-2,2,6]
[null,null,null,null,null,"C","x","",null,-1,7,-7,-4,0,0,4]
[null,null,null,null,null,"D","x","",null,0,4,-4,-2,2,-2,2]
[null,null,null,null,null,"E","x","",null,1,3,-3,0,4,-4,0]
[null,null,null,null,null,null,null,null,null,2,4,-4,2,6,-6,-2]
[null,{"$f":"IF(I307<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(HLOOKUP(ID,$AA$278:$CB$292,11)=1,\"A\",\"\")&IF(HLOOKUP(ID,$AA$278:$CB$292,12)=1,\"B\",\"\")&IF(HLOOKUP(ID,$AA$278:$CB$292,13)=1,\"C\",\"\")&IF(HLOOKUP(ID,$AA$278:$CB$292,14)=1,\"D\",\"\")&IF(HLOOKUP(ID,$AA$278:$CB$292,15)=1,\"E\",\"\")","v":"B"},null,{"$f":"IF(G307=Aufgaben!C270,\"ja, stimmt. \",\"\")","v":""},3,7,-7,4,8,-8,-4]
[null,null,null,null,null,null,null,null,{"$f":"IF(G307=Aufgaben!C270,\"Damit klar ist, dass du nicht nur probiert hast, begründe!\",\"\")","v":""},4,12,-12,6,10,-10,-6]
[null,null,null,null,null,null,null,null,null,5,19,-19,8,12,-12,-8]
[]
[]
[null,null,null,null,"b)",null,null,null,null,null,null,null,null,null,"Verschiebung nach oben/unten",null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,null,"f(x)",null,{"$f":"IF(K314<0,\" - \",\"\")&IF(K314>0,\"\",\"\")&IF(K314=0,\"\",IF(ABS(K314)=1,\" x^2 \",ABS(K314)&\" x^2 \"))&IF(K315>0,IF(K314<>0,\" + \",\"\"),\"\")&IF(K315<0,\" - \",\"\")&IF(K315=0,\"\",IF(ABS(K315)=1,\" x \",ABS(K315)&\" x \"))&IF(K316>0,IF(K314^2+K315^2<>0,\" + \",\"\"),\"\")&IF(K316<0,\" - \",\"\")&IF(K316=0,\"\",IF(ABS(K316)=1,\"1\",ABS(K316)&\"\"))","v":" x^2  + 4 x  + 4"},null,-7,{"$f":"$K$425*G313^3+$K$426*G313^2+$K$427*G313+$K$428","v":10},null,"x^3",{"$f":"HLOOKUP(ID,$AA$312:$CB$328,2)","v":-1},null,{"$f":"-1*K313","v":1},null,{"$f":"HLOOKUP(ID,$AA$312:$CB$328,6)","v":-12},null,null,null,null,null,null,null,null,null,2,"a",-1,-1,-4,-4,2,-2,-4,2,-2,-2,-4,-2,2,-1,1,-1,2,-1,4,-1,2,2,-1,2,2,-2,-2,-4,-4,4,2,1,-1,4,4,1,2,4,1,-1,4,-4,-1,2,4,-4,-1,2,-4,-1,-1,1,2,1,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":1},{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-1},-4]
[null,null,"f´(x)=",null,{"$f":"IF(L314<0,\"-\",\"\")&IF(L314>0,\"\",\"\")&IF(L314=0,\"\",IF(ABS(L314)=1,\"x^2\",ABS(L314)&\"x^2\"))&IF(L315>0,IF(L314<>0,\"+\",\"\"),\"\")&IF(L315<0,\"-\",\"\")&IF(L315=0,\"\",IF(ABS(L315)=1,\"x\",ABS(L315)&\"x\"))&IF(L316>0,IF(L314^2+L315^2<>0,\"+\",\"\"),\"\")&IF(L316<0,\"-\",\"\")&IF(L316=0,\"\",IF(ABS(L316)=1,\"1\",ABS(L316)&\"\"))","v":"-3x^2+2x+4"},null,{"$f":"G313+1","v":-6},{"$f":"$K$425*G314^3+$K$426*G314^2+$K$427*G314+$K$428","v":0},null,"x^2",{"$f":"HLOOKUP(ID,$AA$312:$CB$328,3)","v":1},{"$f":"3*K313","v":-3},{"$f":"-1*K314","v":-1},{"$f":"-1*L314","v":3},null,null,null,null,null,null,null,null,null,null,3,"b",1,2,-2,1,4,4,1,-1,-2,2,2,-4,-2,-1,2,1,-1,-4,-1,-4,1,4,-4,-1,-4,-4,1,4,2,1,-4,2,1,1,-2,4,4,2,-1,-4,-4,4,-1,-2,1,1,-4,4,4,4,-1,4,-2,-2,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-4},2,2]
[null,null,"f(x)=",null,{"$f":"IF(M313=1,\"\",IF(M313=-1,\"-\",M313))&\"x^3\"&IF(M314<0,\" - \",\"\")&IF(M314>0,\" + \",\"\")&IF(M314=0,\"\",IF(ABS(M314)=1,\" x^2 \",ABS(M314)&\" x^2 \"))&IF(M315>0,IF(M314<>0,\"+\",\"\"),\"\")&IF(M315<0,\"-\",\"\")&IF(M315=0,\"\",IF(ABS(M315)=1,\" x \",ABS(M315)&\" x \"))&IF(M316>0,IF(M314^2+M315^2<>0,\"+\",\"\"),\"\")&IF(M316<0,\" - \",\"\")&IF(M316=0,\"\",IF(ABS(M316)=1,\"1\",ABS(M316)&\"\"))","v":"x^3 -  x^2 -4 x  - 4"},null,{"$f":"G314+1","v":-5},{"$f":"$K$425*G315^3+$K$426*G315^2+$K$427*G315+$K$428","v":-6},null,"x",{"$f":"HLOOKUP(ID,$AA$312:$CB$328,4)","v":4},{"$f":"2*K314","v":2},-4,-2,null,null,null,null,null,null,null,null,null,null,4,"c",4,-4,1,-2,1,-4,4,1,2,-4,1,-2,4,4,-4,-4,-4,4,2,-4,-4,-4,4,-4,-4,-1,-2,-1,-4,1,-4,2,2,-2,2,-2,4,4,-2,-1,2,-4,1,2,-1,-1,-1,-1,2,-1,2,-1,1,1,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-2},{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-2},4]
[null,null,"f´(x)=",null,{"$f":"IF(N314<0,\"-\",\"\")&IF(N314>0,\"\",\"\")&IF(N314=0,\"\",IF(ABS(N314)=1,\"x^2\",ABS(N314)&\"x^2\"))&IF(N315>0,IF(N314<>0,\"+\",\"\"),\"\")&IF(N315<0,\"-\",\"\")&IF(N315=0,\"\",IF(ABS(N315)=1,\"x\",ABS(N315)&\"x\"))&IF(N316>0,IF(N314^2+N315^2<>0,\"+\",\"\"),\"\")&IF(N316<0,\"-\",\"\")&IF(N316=0,\"\",IF(ABS(N316)=1,\"1\",ABS(N316)&\"\"))","v":"3x^2-2x-4"},null,-4,{"$f":"$K$425*G316^3+$K$426*G316^2+$K$427*G316+$K$428","v":-8},null,1,{"$f":"HLOOKUP(ID,$AA$312:$CB$328,5)","v":4},{"$f":"K315","v":4},-4,-4,null,null,null,null,null,null,null,null,null,null,5,"d",4,-2,4,-1,2,4,4,-2,4,5,-2,-2,1,-2,-2,-5,3,4,-4,5,3,1,-2,4,3,-3,2,3,-1,2,3,0,5,1,1,-1,3,3,-2,0,3,1,3,-5,-3,2,0,-3,-3,-4,5,-4,5,-5,{"$f":"RANDBETWEEN(-5,5)","v":-5},{"$f":"RANDBETWEEN(-5,5)","v":-1},4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"verschieb",-12,-20,17,-20,-30,-27,27,-16,22,-15,19,-24,-18,24,25,-15,18,25,-24,-17,23,22,23,25,27,-26,-15,-19,-16,-26,21,-19,15,22,-29,22,-29,-16,20,-29,-18,-25,22,-23,23,-28,-28,16,15,-30,30,18,-28,-28,{"$f":"(-1)*SIGN(CC313)*SIGN(CC315)*RANDBETWEEN(15,30)","v":25},{"$f":"(-1)*SIGN(CD313)*SIGN(CD315)*RANDBETWEEN(15,30)","v":-20},24]
[null,null,null,null,null,null,null,null,null,null,null,1,2,3,4,5,null,null,null,null,null,null,null,null,7,"sortZZ1",16,4,27,-12,-50,-19,-31,45,11,10,47,-1,-27,-43,-29,39,36,-31,-5,48,-40,-36,-8,16,19,-11,46,-44,-47,-25,-21,-22,42,-37,-42,48,-15,32,-15,-41,-48,0,27,-4,-38,40,50,44,6,-49,18,-7,12,27,{"$f":"RANDBETWEEN(-50,50)","v":-21},{"$f":"RANDBETWEEN(-50,50)","v":-18},4]
[null,null,null,null,null,null,null,null,null,-5,{"$f":"K$313*$J319^3+K$314*$J319^2+K$315*$J319+K$316","v":134},{"$f":"L$313*$J319^3+L$314*$J319^2+L$315*$J319+L$316","v":-81},{"$f":"M$313*$J319^3+M$314*$J319^2+M$315*$J319+M$316","v":-134},81,{"$f":"L319-L$316+$O$313","v":-97},{"$f":"-1*O319","v":97},null,null,null,null,null,null,null,null,8,"sortZZ1",28,-28,-50,-1,-37,35,-23,-29,23,17,-30,-28,-5,-25,-47,8,45,8,2,-23,-37,-10,14,-11,-22,-21,-6,8,-30,-31,23,23,-2,-41,43,33,48,-12,18,44,24,34,4,-45,13,15,6,31,-38,49,-14,-4,25,5,{"$f":"RANDBETWEEN(-50,50)","v":-39},46,26]
[null,null,null,null,null,null,null,null,null,{"$f":"J319+1","v":-4},{"$f":"K$313*$J320^3+K$314*$J320^2+K$315*$J320+K$316","v":68},-52,-68,52,{"$f":"L320+$O$313","v":-64},{"$f":"-1*O320","v":64},null,null,null,null,null,null,null,null,9,"sortZZ1",-42,-40,48,-1,30,-23,24,45,-33,31,50,46,26,9,-35,49,2,7,-47,-29,49,-48,-28,-6,-7,-4,1,31,-48,45,-25,-1,39,44,-11,31,-47,39,-10,-43,8,-23,4,6,4,-9,-12,6,5,50,48,1,44,-48,{"$f":"RANDBETWEEN(-50,50)","v":8},-13,49]
[null,null,null,null,null,null,null,null,null,{"$f":"J320+1","v":-3},28,-29,-28,29,-41,41,null,null,null,null,null,null,null,null,10,"sortZZ1",-15,1,-37,-48,-7,3,24,-34,-21,-3,-5,-40,33,40,-19,14,-7,44,13,-5,36,-33,0,-9,-16,-36,42,17,-3,-16,-13,-35,46,5,17,26,-25,-15,-5,-27,-40,-38,-45,18,25,41,-8,35,27,-22,-16,40,-14,-46,{"$f":"RANDBETWEEN(-50,50)","v":5},-16,-33]
[null,null,null,null,null,null,null,null,null,-2,8,-12,-8,12,-24,24,null,null,null,null,null,null,null,null,11,"sortZZ1",0,-30,-17,-6,-32,48,9,8,28,-48,13,9,45,10,-30,15,-47,-22,-4,-12,-23,2,-16,3,17,34,-12,-15,40,45,-30,13,7,-50,-13,-1,17,-34,34,-3,-44,7,-33,-38,33,-25,8,13,-5,9,50,-16,-22,3,{"$f":"RANDBETWEEN(-50,50)","v":-45},{"$f":"RANDBETWEEN(-50,50)","v":33},50]
[null,null,null,null,null,null,null,null,null,-1,2,-1,-2,1,-13,13,null,null,null,null,null,null,null,null,12,"sort1",4,5,4,2,1,2,1,5,3,3,4,3,1,1,4,4,4,1,2,5,1,2,3,5,5,3,5,1,2,2,3,2,4,3,1,5,3,4,1,2,1,3,5,3,1,4,5,5,4,1,3,2,3,5,{"$f":"COUNTIF(CC318:CC322,\"<=\"&CC318)","v":3},{"$f":"COUNTIF(CD318:CD322,\"<=\"&CD318)","v":1},2]
[null,null,null,null,null,null,null,null,null,0,4,4,-4,-4,-8,8,null,null,null,null,null,null,null,null,13,"sorrt2",5,3,1,5,2,4,2,2,4,4,1,2,2,2,1,1,5,4,4,2,2,4,5,1,1,2,2,3,3,1,5,5,1,2,5,4,5,3,4,5,5,5,4,1,3,3,3,3,1,4,2,3,4,4,{"$f":"COUNTIF(CC318:CC322,\"<=\"&CC319)","v":2},{"$f":"COUNTIF(CD318:CD322,\"<=\"&CD319)","v":5},3]
[null,null,null,null,null,null,null,null,null,1,8,3,-8,-3,-9,9,null,null,null,null,null,null,null,null,14,"sort3",1,1,5,5,5,1,5,5,1,5,5,5,3,3,2,5,3,3,1,1,5,1,1,3,3,4,3,5,1,5,2,3,3,5,3,3,1,5,2,1,4,2,4,4,2,2,1,1,3,5,4,4,5,1,{"$f":"COUNTIF(CC318:CC322,\"<=\"&CC320)","v":5},{"$f":"COUNTIF(CD318:CD322,\"<=\"&CD320)","v":3},4]
[null,null,null,null,null,null,null,null,null,2,8,-4,-8,4,-16,16,null,null,null,null,null,null,null,null,15,"sort4",2,4,2,1,4,3,5,1,2,2,2,1,4,5,5,2,2,5,5,4,4,3,4,2,2,1,4,4,4,3,4,1,5,4,4,2,2,2,3,3,3,1,1,5,4,5,2,4,5,2,1,5,2,2,{"$f":"COUNTIF(CC318:CC322,\"<=\"&CC321)","v":4},{"$f":"COUNTIF(CD318:CD322,\"<=\"&CD321)","v":2},1]
[null,null,null,null,null,null,null,null,null,3,-2,-17,2,17,-29,29,null,null,null,null,null,null,null,null,16,"sorf5",3,2,3,3,3,5,3,3,5,1,3,4,5,4,3,3,1,2,3,3,3,5,2,4,4,5,1,2,5,5,1,4,2,1,2,1,4,1,5,4,2,4,2,2,5,1,4,2,2,3,5,1,1,3,{"$f":"COUNTIF(CC318:CC322,\"<=\"&CC322)","v":1},{"$f":"COUNTIF(CD318:CD322,\"<=\"&CD322)","v":4},5]
[null,null,null,null,null,null,null,null,null,4,-28,-36,28,36,-48,48]
[null,null,null,null,null,null,null,null,null,5,-76,-61,76,61,-73,73]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$312:$CB$328,12)","v":4},{"$f":"HLOOKUP(ID,$AA$312:$CB$328,13)","v":5},{"$f":"HLOOKUP(ID,$AA$312:$CB$328,14)","v":1},{"$f":"HLOOKUP(ID,$AA$312:$CB$328,15)","v":2},{"$f":"HLOOKUP(ID,$AA$312:$CB$328,16)","v":3}]
[null,null,null,null,null,null,"ist nicht ","ist",null,{"$f":"J319","v":-5},{"$f":"K319","v":134},{"$f":"IF(L$332=$L$284,$L319)+IF(L$332=$M$284,$M319,0)+IF(L$332=$N$284,$N319)+IF(L$332=$O$284,$O319)+IF(L$332=$P$284,$P319,0)","v":-97},{"$f":"IF(M$332=$L$284,$L319)+IF(M$332=$M$284,$M319,0)+IF(M$332=$N$284,$N319)+IF(M$332=$O$284,$O319)+IF(M$332=$P$284,$P319,0)","v":97},-81,-134,81]
[null,null,null,null,null,null,"f´","f´",null,{"$f":"J320","v":-4},68,{"$f":"IF(L$332=$L$284,$L320)+IF(L$332=$M$284,$M320,0)+IF(L$332=$N$284,$N320)+IF(L$332=$O$284,$O320)+IF(L$332=$P$284,$P320,0)","v":-64},64,-52,-68,52]
[null,null,null,null,null,"A",null,null,null,{"$f":"J321","v":-3},28,-41,41,-29,-28,29]
[null,null,null,null,null,"B",null,null,null,{"$f":"J322","v":-2},8,-24,24,-12,-8,12]
[null,null,null,null,null,"C",null,null,null,{"$f":"J323","v":-1},2,-13,13,-1,-2,1]
[null,null,null,null,null,"D",null,null,null,{"$f":"J324","v":0},4,-8,8,4,-4,-4]
[null,null,null,null,null,"E",null,null,null,{"$f":"J325","v":1},8,-9,9,3,-8,-3]
[null,null,null,null,null,null,null,null,null,{"$f":"J326","v":2},8,-16,16,-4,-8,4]
[null,{"$f":"IF(I341<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(HLOOKUP(ID,$AA$312:$CB$331,12)=1,\"A\",\"\")&IF(HLOOKUP(ID,$AA$312:$CB$331,13)=1,\"B\",\"\")&IF(HLOOKUP(ID,$AA$312:$CB$331,14)=1,\"C\",\"\")&IF(HLOOKUP(ID,$AA$312:$CB$331,15)=1,\"D\",\"\")&IF(HLOOKUP(ID,$AA$312:$CB$331,16)=1,\"E\",\"\")","v":"C"},null,{"$f":"IF(G341=Aufgaben!C311,\"ja, stimmt. \",\"\")","v":""},{"$f":"J327","v":3},-2,-29,29,-17,2,17]
[null,null,null,null,null,null,null,null,{"$f":"IF(G341=Aufgaben!C311,\"Damit klar ist, dass du nicht nur probiert hast, begründe!\",\"\")","v":""},{"$f":"J328","v":4},-28,-48,48,-36,28,36]
[null,null,null,null,null,null,null,null,null,{"$f":"J329","v":5},-76,-73,73,-61,76,61]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A277+1","v":2},null,null,null,{"$f":"\"Aufgabe \"&A351&\" \"&E352","v":"Aufgabe 2 (ganzrationale Funktionen ableiten)"}]
[null,null,null,null,"(ganzrationale Funktionen ableiten)",null,null,null,null,null,"Koord quadr",null,"Koord kub",null,null,null,null,null,null,null,null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
["a)",null,"f(x)",null,{"$f":"IF(K354<0,\" - \",\"\")&IF(K354>0,\"\",\"\")&IF(K354=0,\"\",IF(ABS(K354)=1,\" x^2 \",ABS(K354)&\" x^2 \"))&IF(K355>0,IF(K354<>0,\" + \",\"\"),\"\")&IF(K355<0,\" - \",\"\")&IF(K355=0,\"\",IF(ABS(K355)=1,\" x \",ABS(K355)&\" x \"))&IF(K356>0,IF(K354^2+K355^2<>0,\" + \",\"\"),\"\")&IF(K356<0,\" - \",\"\")&IF(K356=0,\"\",IF(ABS(K356)=1,\"1\",ABS(K356)&\"\"))","v":"4 x^2  - 4 x  + 6"},null,-7,{"$f":"$K$425*G353^3+$K$426*G353^2+$K$427*G353+$K$428","v":10},null,"x^3",null,null,{"$f":"HLOOKUP(ID,$AA$352:$CB$378,5)","v":-2},null,{"$f":"HLOOKUP(ID,$AA$352:$CB$378,9)","v":-2},null,null,null,null,null,null,null,null,null,null,"a",4,4,4,4,4,-1,4,-1,4,-2,2,4,-4,-2,2,-1,-2,2,4,1,2,2,4,1,2,-1,2,4,2,4,1,-4,-4,-1,2,1,4,1,-2,4,4,-4,-2,-2,4,2,2,-1,-2,4,-1,1,-4,2,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-4},{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":4},{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-2}]
[null,null,"f´(x)=",null,{"$f":"IF(L354<0,\"-\",\"\")&IF(L354>0,\"\",\"\")&IF(L354=0,\"\",IF(ABS(L354)=1,\"x^2\",ABS(L354)&\"x^2\"))&IF(L355>0,IF(L354<>0,\"+\",\"\"),\"\")&IF(L355<0,\"-\",\"\")&IF(L355=0,\"\",IF(ABS(L355)=1,\"x\",ABS(L355)&\"x\"))&IF(L356>0,IF(L354^2+L355^2<>0,\"+\",\"\"),\"\")&IF(L356<0,\"-\",\"\")&IF(L356=0,\"\",IF(ABS(L356)=1,\"1\",ABS(L356)&\"\"))","v":"8x-4"},null,{"$f":"G353+1","v":-6},0,null,"x^2",{"$f":"HLOOKUP(ID,$AA$352:$CB$378,2)","v":4},{"$f":"3*K353","v":0},{"$f":"HLOOKUP(ID,$AA$352:$CB$378,6)","v":-3},{"$f":"3*M353","v":-6},{"$f":"HLOOKUP(ID,$AA$352:$CB$378,10)","v":-3},{"$f":"3*O353","v":-6},null,null,null,null,null,null,null,null,null,"b",-4,-1,-5,1,3,-4,4,-4,1,-3,-1,-2,1,-4,4,-2,-3,0,4,5,-4,-2,-3,3,4,-4,-4,-4,-2,5,2,5,-2,2,-2,-4,4,2,0,0,-2,-2,2,3,3,3,3,-4,1,3,-1,-2,0,3,{"$f":"RANDBETWEEN(-5,5)","v":-4},{"$f":"RANDBETWEEN(-5,5)","v":-5},{"$f":"RANDBETWEEN(-5,5)","v":1}]
["b)",null,"f(x)=",null,{"$f":"IF(M353=1,\"\",IF(M353=-1,\"-\",M353))&\"x^3\"&IF(M354<0,\" - \",\"\")&IF(M354>0,\" + \",\"\")&IF(M354=0,\"\",IF(ABS(M354)=1,\" x^2 \",ABS(M354)&\" x^2 \"))&IF(M355>0,IF(M354<>0,\"+\",\"\"),\"\")&IF(M355<0,\"-\",\"\")&IF(M355=0,\"\",IF(ABS(M355)=1,\" x \",ABS(M355)&\" x \"))&IF(M356>0,IF(M354^2+M355^2<>0,\"+\",\"\"),\"\")&IF(M356<0,\" - \",\"\")&IF(M356=0,\"\",IF(ABS(M356)=1,\"1\",ABS(M356)&\"\"))","v":"-2x^3 - 3 x^2 - x  - 4"},null,{"$f":"G354+1","v":-5},-6,null,"x",{"$f":"HLOOKUP(ID,$AA$352:$CB$378,3)","v":-4},{"$f":"2*K354","v":8},{"$f":"HLOOKUP(ID,$AA$352:$CB$378,7)","v":-1},{"$f":"2*M354","v":-6},{"$f":"HLOOKUP(ID,$AA$352:$CB$378,11)","v":-1},{"$f":"2*O354","v":-6},null,null,null,null,null,null,null,null,null,"c",6,26,12,-15,28,-25,-22,-3,20,27,-25,23,-22,-25,27,19,-15,27,9,1,-14,14,21,-9,4,9,22,17,-20,-18,19,-7,0,31,-17,23,3,32,14,21,24,-6,2,10,-28,-19,-6,14,-6,6,-17,14,-15,5,{"$f":"RANDBETWEEN(-30,32)","v":-16},{"$f":"RANDBETWEEN(-30,32)","v":-3},{"$f":"RANDBETWEEN(-30,32)","v":27}]
[null,null,"f´(x)=",null,{"$f":"IF(N354<0,\"-\",\"\")&IF(N354>0,\"\",\"\")&IF(N354=0,\"\",IF(ABS(N354)=1,\"x^2\",ABS(N354)&\"x^2\"))&IF(N355>0,IF(N354<>0,\"+\",\"\"),\"\")&IF(N355<0,\"-\",\"\")&IF(N355=0,\"\",IF(ABS(N355)=1,\"x\",ABS(N355)&\"x\"))&IF(N356>0,IF(N354^2+N355^2<>0,\"+\",\"\"),\"\")&IF(N356<0,\"-\",\"\")&IF(N356=0,\"\",IF(ABS(N356)=1,\"1\",ABS(N356)&\"\"))","v":"-6x^2-6x-1"},null,-4,-8,null,1,{"$f":"HLOOKUP(ID,$AA$352:$CB$378,4)","v":6},{"$f":"K355","v":-4},{"$f":"HLOOKUP(ID,$AA$352:$CB$378,8)","v":-4},{"$f":"M355","v":-1},0,{"$f":"O355","v":-1},null,null,null,null,null,null,null,null,null,"a",-2,-0.5,3,6,-1,6,3,12,2,4,0.5,3,0.75,-1.5,-0.25,-0.25,-0.25,2,-3,-4,-2,-4,1.5,-0.25,1,0.25,-12,2,-12,-4,-12,6,4,1.5,1.5,-12,6,-1,3,3,0.5,4,-0.75,4,0.75,2,-1,-3,0.25,-1,6,-0.5,-0.5,-0.25,{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))*3^(RANDBETWEEN(0,1))","v":-4},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))*3^(RANDBETWEEN(0,1))","v":-0.75},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))*3^(RANDBETWEEN(0,1))","v":3}]
["c)",null,"f(x)=",null,{"$f":"HLOOKUP(ID,$AA$365:$CB$379,8)","v":"5x^6-10x^2+37"},null,-3,-6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"b",-3,-3,4,-1,-3,2,-3,-2,3,3,-4,4,-2,1,2,2,4,4,-2,-3,3,1,3,1,2,2,5,-2,3,-3,4,1,3,3,-4,1,-3,-4,5,1,-3,-2,5,3,1,1,3,-4,-2,5,4,3,-1,-5,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":5},{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":1},1]
["*",null,"f´(x)=",null,{"$f":"HLOOKUP(ID,$AA$365:$CB$379,9)","v":"30x^5-20x"},null,-2,0,null,"a)",null,{"$f":"\"Gegeben ist die Funktion g mit\"","v":"Gegeben ist die Funktion g mit"},null,null,null,null,null,null,null,null,null,null,null,null,null,"c",-1,3,-3,-3,-1,-2,-4,0,3,-4,1,0,-1,-1,-3,-5,-1,5,2,-2,-5,1,-5,-1,-5,-1,1,0,1,4,1,-4,-5,-2,-4,0,-1,3,-2,4,1,2,2,5,5,4,2,0,1,4,5,0,1,-4,{"$f":"RANDBETWEEN(-5,5)","v":-3},{"$f":"RANDBETWEEN(-5,5)","v":-4},{"$f":"RANDBETWEEN(-5,5)","v":3}]
["*",null,"k(x)=",null,{"$f":"IF(O353=1,\"\",IF(O353=-1,\"-\",O353))&\"x^3\"&IF(O354<0,\"-\",\"\")&IF(O354>0,\"+\",\"\")&IF(O354=0,\"\",IF(ABS(O354)=1,\"x^2\",ABS(O354)&\"x^2\"))&IF(O355>0,IF(O354<>0,\"+\",\"\"),\"\")&IF(O355<0,\"-\",\"\")&IF(O355=0,\"\",IF(ABS(O355)=1,\"x\",ABS(O355)&\"x\"))&IF(O356>0,IF(O354^2+O355^2<>0,\"+\",\"\"),\"\")&IF(O356<0,\"-\",\"\")&IF(O356=0,\"\",IF(ABS(O356)=1,\"1\",ABS(O356)&\"\"))","v":"-2x^3-3x^2-x"},null,-1,10,null,null,null,{"$f":"\"g(x)= \"&E353","v":"g(x)= 4 x^2  - 4 x  + 6"},null,null,null,null,null,null,null,null,null,null,null,null,null,"d",-4,-1,-4,1,3,-2,4,-4,1,0,-1,-2,1,-4,6,-2,-2,2,6,5,-1,0,-3,6,4,-3,-4,-2,-2,7,2,6,-2,2,-2,-2,6,3,2,0,1,1,5,5,5,6,3,-4,4,5,-1,-2,1,4,{"$f":"CC354+RANDBETWEEN(1,3)*RANDBETWEEN(0,1)","v":-4},{"$f":"CD354+RANDBETWEEN(1,3)*RANDBETWEEN(0,1)","v":-5},{"$f":"CE354+RANDBETWEEN(1,3)*RANDBETWEEN(0,1)","v":1}]
[null,null,"k´(x)=",null,{"$f":"IF(P354<0,\"-\",\"\")&IF(P354>0,\"\",\"\")&IF(P354=0,\"\",IF(ABS(P354)=1,\"x^2\",ABS(P354)&\"x^2\"))&IF(P355>0,IF(P354<>0,\"+\",\"\"),\"\")&IF(P355<0,\"-\",\"\")&IF(P355=0,\"\",IF(ABS(P355)=1,\"x\",ABS(P355)&\"x\"))&IF(P356>0,IF(P354^2+P355^2<>0,\"+\",\"\"),\"\")&IF(P356<0,\"-\",\"\")&IF(P356=0,\"\",IF(ABS(P356)=1,\"1\",ABS(P356)&\"\"))","v":"-6x^2-6x-1"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a",-2,-1.5,0.25,0.25,0.75,-6,-0.75,-6,0.5,-2,-0.25,4,-0.75,-1.5,-4,1,-0.25,1.5,-12,0.5,-6,-1.5,1,2,-12,-2,0.75,-3,0.5,4,-1,1,-3,-0.5,1.5,-1.5,4,1,-0.25,12,0.25,1,6,-2,4,-1,-3,-4,-1.5,-0.75,-6,-3,12,1,{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))*3^(RANDBETWEEN(0,1))","v":12},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-2,2))*3^(RANDBETWEEN(0,1))","v":1.5},-1.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"b",-3,-2,-1,-3,-1,1,-4,-3,-2,-1,-5,4,-4,5,5,4,-4,-1,1,1,-4,5,4,1,-2,-5,5,1,5,-1,-5,5,-4,-1,-3,1,5,3,2,-3,2,-2,5,-5,-2,-2,2,2,5,-3,5,-4,-2,-5,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":2},{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":1},5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"c",-1,1,-5,0,-2,3,1,-1,-1,-4,-5,-1,-5,-5,-1,-3,1,0,-5,-5,4,-4,-3,1,-4,0,5,-3,-1,1,-5,5,3,4,-3,-1,-4,4,-1,1,-5,4,0,-1,0,-1,4,1,-4,1,2,5,-2,-5,{"$f":"RANDBETWEEN(-5,5)","v":3},{"$f":"RANDBETWEEN(-5,5)","v":2},-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"d",-4,3,0,-3,-1,0,-3,1,3,-4,1,2,2,-1,0,-3,2,5,4,-2,-5,4,-3,-1,-2,1,1,0,1,4,2,-3,-5,1,-4,2,-1,3,1,6,3,5,4,5,7,4,2,3,1,4,8,3,2,-3,{"$f":"CC358+RANDBETWEEN(1,3)*RANDBETWEEN(0,1)","v":-3},{"$f":"CD358+RANDBETWEEN(1,3)*RANDBETWEEN(0,1)","v":-3},3]
[null,null,null,null,null,null,null,null,null,null,null,"Gib die Ableitung an."]
[null,{"$f":"IF(Q365<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,"g´(x)=",{"$f":"E354","v":"8x-4"},null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!B345),\"\",IF(Aufgaben!B345=L365,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,0,41,1,2,3,4,5,48,6,7,8,9,43,10,11,12,13,14,15,16,17,39,18,50,19,20,21,22,45,23,24,25,26,27,28,29,30,31,32,47,33,34,35,36,46,42,38,44,37,40,49,51,52,53,54,55,56]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,-1,-4,-4,2,-2,-1,-1,-0.5,0.5,-0.5,-4,2,0.5,-1,1,4,0.5,-4,0.5,-0.5,0.5,-1,1,-2,-2,0.5,0.5,2,-2,-2,2,2,4,-0.5,-4,0.5,-1,-4,-2,-1,-4,1,2,-2,4,2,4,2,4,2,0.5,0.5,{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-1,2))","v":1},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-1,2))","v":-0.5},{"$f":"(-1)^RANDBETWEEN(0,1)*2^(RANDBETWEEN(-1,2))","v":-0.5}]
[null,null,null,null,null,null,null,null,null,"b)",null,{"$f":"\"Gegeben ist die Funktion h mit\"","v":"Gegeben ist die Funktion h mit"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,5,5,5,7,8,6,5,7,6,4,8,6,6,6,6,7,6,7,7,6,4,6,4,5,6,7,7,6,7,8,7,6,7,7,5,8,7,7,8,5,8,5,5,4,5,6,6,6,6,6,8,8,{"$f":"CC369+RANDBETWEEN(1,3)","v":5},{"$f":"CD369+RANDBETWEEN(1,3)","v":8},{"$f":"CE369+RANDBETWEEN(1,3)","v":6}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"h(x) = \"&E355","v":"h(x) = -2x^3 - 3 x^2 - x  - 4"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,3,4,3,4,5,4,3,5,2,5,3,5,5,5,5,5,3,3,4,3,5,4,3,3,5,4,5,2,4,5,5,2,2,3,3,5,4,5,4,2,2,5,5,5,2,2,2,5,4,4,5,{"$f":"RANDBETWEEN(2,5)","v":5},{"$f":"RANDBETWEEN(2,5)","v":4},{"$f":"RANDBETWEEN(2,5)","v":2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,3,3,4,4,5,4,4,4,3,3,5,5,5,5,5,4,4,4,4,3,3,5,3,3,5,5,4,3,5,5,4,4,4,5,3,5,5,5,5,4,5,4,3,3,3,3,5,3,4,4,5,5,{"$f":"RANDBETWEEN(3,5)","v":3},{"$f":"RANDBETWEEN(3,5)","v":5},{"$f":"RANDBETWEEN(3,5)","v":4}]
[null,null,null,null,null,null,null,null,null,null,null,"Gib die Ableitung an.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,8,7,9,7,8,4,5,7,4,11,9,12,12,12,8,3,4,12,11,12,5,11,5,8,4,12,12,12,7,4,12,12,12,7,6,9,8,6,6,5,4,8,12,5,5,11,5,7,5,7,11,8,{"$f":"RANDBETWEEN(3,12)","v":8},{"$f":"RANDBETWEEN(3,12)","v":10},{"$f":"RANDBETWEEN(3,12)","v":3}]
[null,{"$f":"IF(Q371<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,"h´(x)=",{"$f":"E356","v":"-6x^2-6x-1"},null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!B351),\"\",IF(Aufgaben!B351=L371,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,6,12,8,8,4,7,9,5,6,9,11,7,7,7,10,8,7,12,9,6,5,4,10,4,12,6,5,10,10,7,11,10,9,9,5,5,4,4,11,7,8,8,12,5,4,3,4,7,6,11,8,12,7,{"$f":"RANDBETWEEN(3,12)","v":10},12,10]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"RANDBETWEEN(0,100)","v":2},"a","5x^6-10x^2+37","2x^8+4x^5-11x+6","-1x^5+4x^3-8x+12","-4x^5+3x^3-7x+8","-4x^5+4x^4-9x+8","2x^7+3x^4-7x+4","-2x^8+4x^5-8x+7","-1x^6+5x^4-4x+9","-1x^5+4x^4-5x+5","-0,5x^7+3x^4-7x+6","0,5x^6+5x^3-4x+9","-0,5x^4+2x^3-11x+11","-4x^8+5x^5-9x+7","2x^6+3x^5-12x+7","0,5x^6+5x^5-12x+7","-1x^6+5x^5-12x+10","1x^6+5x^5-8x+8","4x^7+5x^4-3x+7","0,5x^6+5x^4-4x+12","-4x^7+3x^4-12x+9","0,5x^7+3x^4-11x+6","-0,5x^6+4x^3-12x+5","0,5x^4+3x^3-5x+4","-1x^6+5x^5-11x+10","1x^4+4x^3-5x+4","-2x^5+3x^3-8x+12","-2x^6+3x^5-4x+6","0,5x^7+5x^5-12x+5","0,5x^7+4x^4-12x+10","2x^6+5x^3-12x+10","-2x^7+2x^5-7x+7","-2x^8+4x^5-4x+11","2x^7+5x^4-12x+10","2x^6+5x^4-12x+9","4x^7+2x^4-12x+9","-0,5x^7+2x^5-7x+5","-4x^5+3x^3-6x+5","0,5x^8+3x^5-9x+4","-1x^7+5x^5-8x+4","-4x^7+4x^5-6x+11","-2x^8+5x^5-6x+7","-1x^5+4x^4-5x+8","-4x^8+2x^5-4x+8","1x^5+2x^4-8x+12","2x^5+5x^3-12x+5","-2x^4+5x^3-5x+4","4x^5+5x^3-5x+3","2x^6+2x^3-11x+4","4x^6+2x^5-5x+7","2x^6+2x^3-7x+6","4x^6+5x^4-5x+11","2x^6+4x^4-7x+8","0,5x^8+4x^5-11x+12","0,5x^8+5x^5-8x+7",{"$f":"CC366&\"x^\"&CC367&\"+\"&CC368&\"x^\"&CC369&\"-\"&CC370&\"x+\"&CC371","v":"1x^5+5x^3-8x+10"},{"$f":"CD366&\"x^\"&CD367&\"+\"&CD368&\"x^\"&CD369&\"-\"&CD370&\"x+\"&CD371","v":"-0,5x^8+4x^5-10x+12"},{"$f":"CE366&\"x^\"&CE367&\"+\"&CE368&\"x^\"&CE369&\"-\"&CE370&\"x+\"&CE371","v":"-0,5x^6+2x^4-3x+10"}]
[null,null,null,null,null,null,null,null,null,"c)",null,{"$f":"\"Gegeben ist die Funktion f mit\"","v":"Gegeben ist die Funktion f mit"},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y372","v":2},"b","30x^5-20x","16x^7+20x^4-11","-5x^4+12x^2-8","-20x^4+9x^2-7","-20x^4+16x^3-9","14x^6+12x^3-7","-16x^7+20x^4-8","-6x^5+20x^3-4","-5x^4+16x^3-5","-3,5x^6+12x^3-7","3x^5+15x^2-4","-2x^3+6x^2-11","-32x^7+25x^4-9","12x^5+15x^4-12","3x^5+25x^4-12","-6x^5+25x^4-12","6x^5+25x^4-8","28x^6+20x^3-3","3x^5+20x^3-4","-28x^6+12x^3-12","3,5x^6+12x^3-11","-3x^5+12x^2-12","2x^3+9x^2-5","-6x^5+25x^4-11","4x^3+12x^2-5","-10x^4+9x^2-8","-12x^5+15x^4-4","3,5x^6+25x^4-12","3,5x^6+16x^3-12","12x^5+15x^2-12","-14x^6+10x^4-7","-16x^7+20x^4-4","14x^6+20x^3-12","12x^5+20x^3-12","28x^6+8x^3-12","-3,5x^6+10x^4-7","-20x^4+9x^2-6","4x^7+15x^4-9","-7x^6+25x^4-8","-28x^6+20x^4-6","-16x^7+25x^4-6","-5x^4+16x^3-5","-32x^7+10x^4-4","5x^4+8x^3-8","10x^4+15x^2-12","-8x^3+15x^2-5","20x^4+15x^2-5","12x^5+6x^2-11","24x^5+10x^4-5","12x^5+6x^2-7","24x^5+20x^3-5","12x^5+16x^3-7","4x^7+20x^4-11","4x^7+25x^4-8",{"$f":"CC366*CC367&\"x^\"&CC367-1&\"+\"&CC368*CC369&\"x^\"&CC369-1&\"-\"&CC370","v":"5x^4+15x^2-8"},{"$f":"CD366*CD367&\"x^\"&CD367-1&\"+\"&CD368*CD369&\"x^\"&CD369-1&\"-\"&CD370","v":"-4x^7+20x^4-10"},{"$f":"CE366*CE367&\"x^\"&CE367-1&\"+\"&CE368*CE369&\"x^\"&CE369-1&\"-\"&CE370","v":"-3x^5+8x^3-3"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"f(x) = \"&E357","v":"f(x) = 5x^6-10x^2+37"},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"RANDBETWEEN(0,100)","v":9},"a"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y374","v":9},"b"]
[null,null,null,null,null,null,null,null,null,null,null,"Gib die Ableitung an.",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"RANDBETWEEN(0,100)","v":91},"a"]
[null,{"$f":"IF(Q377<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,"f´(x)=",{"$f":"E358","v":"30x^5-20x"},null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!B357),\"\",IF(Aufgaben!B357=L377,\"richtig!\",\"\"))","v":""},null,null,null,null,{"$f":"Y376","v":91},"b"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"RANDBETWEEN(0,100)","v":65},"a"]
[null,null,null,null,null,null,null,null,null,"d)",null,{"$f":"\"Jetzt mal das Gegenteil: Gegeben ist k´ mit\"","v":"Jetzt mal das Gegenteil: Gegeben ist k´ mit"},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y378","v":65},"b"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"k´(x) = \"&E360","v":"k´(x) = -6x^2-6x-1"}]
[]
[null,null,null,null,null,null,null,null,null,null,null,"Gib die Funktion k mit y-Achsenabschnitt Null an, deren Ableitung k´ist."]
[null,{"$f":"IF(Q383<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,"k(x)=",{"$f":"E359","v":"-2x^3-3x^2-x"},null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!B363),\"\",IF(Aufgaben!B363=L383,\"richtig!\",\"\"))","v":""}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A351+1","v":3},null,null,null,{"$f":"\"Aufgabe \"&A424&\" \"&E425","v":"Aufgabe 3 (quadratische Funktion mit Differentialrechnung)"},null,null,null,null,null,"Koord",null,"Stellen","Koord Abl","f´´ ","Zufallszahlen",null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(quadratische Funktion mit Differentialrechnung)",null,null,null,null,null,null,"x1",{"$f":"HLOOKUP(ID,$AA$424:$CB$432,7)","v":-1},null,null,{"$f":"HLOOKUP(ID,$AA$424:$CB$432,2)","v":4},null,null,null,null,null,null,null,null,null,"a",4,2,1,1,4,4,-1,-2,1,-1,1,1,-1,-2,2,-4,2,4,1,-4,-1,2,-2,-2,4,4,-2,-2,4,-1,-1,-1,-4,-4,-4,-4,-1,2,-4,-2,2,-2,-1,1,2,-4,4,-2,-1,1,-4,-2,-2,-1,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":4},2,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":1}]
[null,null,"f(x)",null,{"$f":"IF(K426<0,\" - \",\"\")&IF(K426>0,\"\",\"\")&IF(K426=0,\"\",IF(ABS(K426)=1,\" x^2 \",ABS(K426)&\" x^2 \"))&IF(K427>0,IF(K426<>0,\" + \",\"\"),\"\")&IF(K427<0,\" - \",\"\")&IF(K427=0,\"\",IF(ABS(K427)=1,\" x \",ABS(K427)&\" x \"))&IF(K428>0,IF(K426^2+K427^2<>0,\" + \",\"\"),\"\")&IF(K428<0,\" - \",\"\")&IF(K428=0,\"\",IF(ABS(K428)=1,\"1\",ABS(K428)&\"\"))","v":"2 x^2  + 16 x  + 24"},null,null,null,null,"a",{"$f":"N427/2","v":2},"x2",{"$f":"HLOOKUP(ID,$AA$424:$CB$432,8)","v":-4},null,null,{"$f":"HLOOKUP(ID,$AA$424:$CB$432,3)","v":-4},null,null,null,null,null,null,null,null,null,"xN",-4,-3,-5,1,-1,2,5,4,3,-4,2,5,-5,-2,-2,-4,-5,-1,-4,-5,-1,4,-2,4,-3,-4,-5,4,-4,-5,4,2,4,-3,-3,-4,-1,2,-2,3,-5,1,-3,2,-5,-5,0,-4,5,3,3,3,1,-3,{"$f":"RANDBETWEEN(-5,5)","v":0},2,{"$f":"RANDBETWEEN(-5,5)","v":5}]
[null,null,"f´(x)=",null,{"$f":"IF(N426<0,\"- \",\"\")&IF(N426>0,\"\",\"\")&IF(N426=0,\"\",IF(ABS(N426)=1,\" x^2 \",ABS(N426)&\" x^2 \"))&IF(N427>0,IF(N426<>0,\" + \",\"\"),\"\")&IF(N427<0,\" - \",\"\")&IF(N427=0,\"\",IF(ABS(N427)=1,\" x \",ABS(N427)&\" x \"))&IF(N428>0,IF(N426^2+N427^2<>0,\" + \",\"\"),\"\")&IF(N428<0,\" - \",\"\")&IF(N428=0,\"\",IF(ABS(N428)=1,\"1\",ABS(N428)&\"\"))","v":"4 x  + 16"},null,null,null,null,"b",{"$f":"N428","v":16},"x3",{"$f":"HLOOKUP(ID,$AA$424:$CB$432,9)","v":5},{"$f":"P425","v":4},null,null,null,null,null,null,null,null,"zwei versch."]
[null,null,"f´´(x)",null,{"$f":"IF(O426<0,\" - \",\"\")&IF(O426>0,\" + \",\"\")&IF(O426=0,\"\",IF(ABS(O426)=1,\" x^2 \",ABS(O426)&\" x^2 \"))&IF(O427>0,IF(O426<>0,\" + \",\"\"),\"\")&IF(O427<0,\" - \",\"\")&IF(O427=0,\"\",IF(ABS(O427)=1,\" x \",ABS(O427)&\" x \"))&IF(O428>0,IF(O426^2+O427^2<>0,\" + \",\"\"),\"\")&IF(O428<0,\" - \",\"\")&IF(O428=0,\"\",IF(ABS(O428)=1,\"1\",ABS(O428)&\"\"))","v":"4"},null,null,null,null,"c",{"$f":"K426*(P426^2-P428)","v":24},"x4",null,{"$f":"N427*(-P426)","v":16},{"$f":"P425","v":4},{"$f":"HLOOKUP(ID,$AA$424:$CB$432,5)","v":4},null,null,null,2,null,null,null,null,null,"c-Generator",4,9,16,9,9,9,25,16,9,4,4,4,16,25,1,1,25,1,1,4,25,1,1,1,4,16,25,16,9,25,16,16,9,25,16,9,1,16,16,25,16,25,1,25,16,25,9,25,25,25,25,9,4,25,{"$f":"RANDBETWEEN(1,5)^2","v":1},16,{"$f":"RANDBETWEEN(1,5)^2","v":25}]
["*",null,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stellen",-3,0,3,4,3,5,-4,0,-2,-5,4,3,-2,4,-5,-4,0,2,-1,-4,-4,0,-5,-5,-3,-4,-5,-4,5,-1,-2,3,2,4,4,1,-1,5,2,1,5,-2,4,-5,-4,-4,1,-1,0,-5,2,2,5,5,{"$f":"RANDBETWEEN(-5,5)","v":0},-4,{"$f":"RANDBETWEEN(-5,5)","v":-5}]
["*",null,3,null,null,null,-7,{"$f":"$K$425*G430^3+$K$426*G430^2+$K$427*G430+$K$428","v":10},null,null,null,{"$f":"\"Gegeben ist die Funktion f mit\"","v":"Gegeben ist die Funktion f mit"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,-1,2,2,3,-2,-2,5,-1,4,2,3,4,-4,0,-1,3,1,-3,-1,-5,1,-5,0,2,5,-5,0,0,4,-2,0,-3,-1,-4,2,3,-1,-5,0,-3,-2,-4,3,4,-2,3,-5,-4,-5,5,4,-1,2,3,0,3,1]
["*",null,4,null,null,null,{"$f":"G430+1","v":-6},{"$f":"$K$425*G431^3+$K$426*G431^2+$K$427*G431+$K$428","v":0},null,null,null,{"$f":"\"f(x)=\"&E426","v":"f(x)=2 x^2  + 16 x  + 24"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,-4,-2,-5,1,-1,2,7,4,5,-4,2,5,-4,-2,-1,-3,-4,0,-2,-5,2,4,-2,4,-3,-4,-4,4,-4,-5,4,5,4,-2,-3,-4,-1,3,-2,5,-5,1,-3,2,-5,-2,0,-4,5,4,3,6,2,0,{"$f":"CC426+RANDBETWEEN(1,3)*RANDBETWEEN(0,1)","v":2},2,{"$f":"CE426+RANDBETWEEN(1,3)*RANDBETWEEN(0,1)","v":5}]
["*",null,null,null,null,null,{"$f":"G431+1","v":-5},-6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,-1,-1,1,-4,-1,-5,3,-2,1,-3,-2,-5,1,-4,4,3,-2,4,-4,-5,3,5,-1,-4,-4,-5,3,-3,4,-3,-3,-3,4,2,-1,-5,-5,2,-3,4,1,3,4,-4,-4,2,-1,3,1,4,5,-5,5,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":2},-2,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":2}]
[null,{"$f":"IF(T433<>\"\",1,0)","v":0},null,null,null,null,-4,-8,"a)",null,null,"Gib die Gleichung der Ableitungsfunktion an: f´(x)=",null,null,null,null,null,null,{"$f":"IF(N426<0,\"-\",\"\")&IF(N426>0,\"\",\"\")&IF(N426=0,\"\",IF(ABS(N426)=1,\"x^2\",ABS(N426)&\"x^2\"))&IF(N427>0,IF(N426<>0,\"+\",\"\"),\"\")&IF(N427<0,\"-\",\"\")&IF(N427=0,\"\",IF(ABS(N427)=1,\"x\",ABS(N427)&\"x\"))&IF(N428>0,IF(N426^2+N427^2<>0,\"+\",\"\"),\"\")&IF(N428<0,\"-\",\"\")&IF(N428=0,\"\",IF(ABS(N428)=1,\"\",ABS(N428)&\"\"))","v":"4x+16"},{"$f":"IF(ISBLANK(Aufgaben!E372),\"\",IF(Aufgaben!E372=S433,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,-3,-6]
[null,{"$f":"IF(T435<>\"\",1,0)","v":0},null,null,null,null,-2,0,"b)",null,null,"Gib die Gleichung der zweiten Ableitung an: f´´(x)=",null,null,null,null,null,null,{"$f":"IF(O426<0,\"-\",\"\")&IF(O426>0,\"+\",\"\")&IF(O426=0,\"\",IF(ABS(O426)=1,\"x^2\",ABS(O426)&\"x^2\"))&IF(O427>0,IF(O426<>0,\"+\",\"\"),\"\")&IF(O427<0,\"-\",\"\")&IF(O427=0,\"\",IF(ABS(O427)=1,\"x\",ABS(O427)&\"x\"))&IF(O428>0,IF(O426^2+O427^2<>0,\"+\",\"\"),\"\")&IF(O428<0,\"-\",\"\")&IF(O428=0,\"\",IF(ABS(O428)=1,\"\",ABS(O428)&\"\"))","v":"4"},{"$f":"IF(ISBLANK(Aufgaben!E374),\"\",IF(Aufgaben!E374=S435,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,-1,10]
[null,{"$f":"IF(T437<>\"\",1,0)","v":0},null,null,null,null,0,24,"c)",null,{"$f":"M425","v":-1},{"$f":"\"Welchen Wert nimmt f an der Stelle \"&K437&\" an?\"","v":"Welchen Wert nimmt f an der Stelle -1 an?"},null,null,null,null,null,null,{"$f":"K425*K437^3+K426*K437^2+K427*K437+K428","v":10},{"$f":"IF(ISBLANK(Aufgaben!E376),\"\",IF(Aufgaben!E376=S437,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,1,42]
[null,{"$f":"IF(T439<>\"\",1,0)","v":0},null,null,null,null,2,64,"d)",null,{"$f":"M426","v":-4},{"$f":"\"Welche Steigung hat f an der Stelle \"&K439&\"?\"","v":"Welche Steigung hat f an der Stelle -4?"},null,null,null,null,null,null,{"$f":"N426*K439^2+N427*K439+N428","v":0},{"$f":"IF(ISBLANK(Aufgaben!E378),\"\",IF(Aufgaben!E378=S439,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,3,90]
[null,{"$f":"IF(T441<>\"\",1,0)","v":0},null,null,null,null,4,120,"e)",{"$f":"M427","v":5},{"$f":"N426*J441^2+N427*J441+N428","v":36},{"$f":"\"An welcher Stelle hat f die Steigung \"&K441&\"?\"","v":"An welcher Stelle hat f die Steigung 36?"},null,null,null,null,null,null,{"$f":"(K441-N428)/N427","v":5},{"$f":"IF(ISBLANK(Aufgaben!E380),\"\",IF(Aufgaben!E380=S441,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,{"$f":"G441+1","v":5},154]
[null,null,null,null,null,null,6,192]
[null,{"$f":"IF(T444<>\"\",1,0)","v":0},null,null,null,null,7,234,"f)",null,null,{"$f":"\"Berechne die Nullstellen.\"","v":"Berechne die Nullstellen."},null,null,null,null,null,null,{"$f":"-K427/(2*K426)-(K427^2/(2*K426)^2-(K428-0)/K426)^0.5","v":-6},{"$f":"IF(ISBLANK(Aufgaben!E383),\"\",IF(Aufgaben!E383=S444,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(T445<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"-K427/(2*K426)+(K427^2/(2*K426)^2-(K428-0)/K426)^0.5","v":-2},{"$f":"IF(ISBLANK(Aufgaben!E384),\"\",IF(Aufgaben!E384=S445,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(T447<>\"\",1,0)","v":0},null,null,null,null,null,null,"g)",null,null,{"$f":"\"Berechne die Extremstellen (erst nur notw. Bed.).\"","v":"Berechne die Extremstellen (erst nur notw. Bed.)."},null,null,null,null,null,null,{"$f":"(S444+S445)/2","v":-4},{"$f":"IF(ISBLANK(Aufgaben!E386),\"\",IF(Aufgaben!E386=S447,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(T449<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,{"$f":"\"hinr.Bed:        f´´( \"&Aufgaben!E386&\")=\"","v":"hinr.Bed:        f´´( )="},null,null,null,null,{"$f":"O428","v":4},{"$f":"IF(Aufgaben!C388<0,\"<0\",\"\")&IF(Aufgaben!C388>0,\">0\",\"\")","v":""},{"$f":"IF(Aufgaben!C388<0,\"Maximalstelle\",\"\")&IF(Aufgaben!C388>0,\"Minimalstelle\",\"\")","v":""}]
[0,{"$f":"IF(Q450<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!C388),\"\",IF(Aufgaben!C388=Q449,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!D388),\"\",IF(Aufgaben!D388=R449,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!E388),\"\",IF(Aufgaben!E388=S449,\"richtig!\",\"\"))","v":""}]
[{"$f":"A424+1","v":4},null,null,null,{"$f":"\"Aufgabe \"&A451&\" \"&E452","v":"Aufgabe 4 (kubische Funktion mit Differentialrechnung)"},null,null,null,null,null,"Koord",null,"Stellen","Koord Abl","f´´ ","Zufallszahlen",null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(kubische Funktion mit Differentialrechnung)",null,null,null,null,"a",{"$f":"1/3*N453","v":-0.5},"x1",{"$f":"HLOOKUP(ID,$AA$451:$CB$460,7)","v":-1},null,null,{"$f":"HLOOKUP(ID,$AA$451:$CB$460,2)","v":-1.5},null,null,null,null,null,null,null,null,null,"a",-1.5,-3,-3,3,-6,1.5,6,6,3,-1.5,-1.5,-1.5,-1.5,6,6,1.5,-1.5,-1.5,3,-3,-1.5,-6,-6,-3,-6,-3,3,-1.5,3,1.5,-3,3,-6,-3,-3,1.5,1.5,6,-1.5,-3,6,-3,6,3,6,6,-1.5,3,6,1.5,-6,6,-6,3,{"$f":"(-1)^RANDBETWEEN(0,1)*3*2^(RANDBETWEEN(-1,1))","v":1.5},-6,{"$f":"(-1)^RANDBETWEEN(0,1)*3*2^(RANDBETWEEN(-1,1))","v":-6}]
[null,null,"f(x)",null,{"$f":"IF(K452=1,\"\",IF(K452=-1,\"-\",K452))&\"x^3\"&IF(K453<0,\" - \",\"\")&IF(K453>0,\" + \",\"\")&IF(K453=0,\"\",IF(ABS(K453)=1,\" x^2 \",ABS(K453)&\" x^2 \"))&IF(K454>0,IF(K453<>0,\" + \",\"\"),\"\")&IF(K454<0,\" - \",\"\")&IF(K454=0,\"\",IF(ABS(K454)=1,\" x \",ABS(K454)&\" x \"))&IF(K455>0,IF(K453^2+K454^2<>0,\" + \",\"\"),\"\")&IF(K455<0,\" - \",\"\")&IF(K455=0,\"\",IF(ABS(K455)=1,\"1\",ABS(K455)&\"\"))","v":"-0,5x^3 - 4,5 x^2  - 12 x  + 4"},null,null,null,null,"b",{"$f":"1/2*N454","v":-4.5},"x2",{"$f":"HLOOKUP(ID,$AA$451:$CB$460,8)","v":3},{"$f":"P452","v":-1.5},null,{"$f":"HLOOKUP(ID,$AA$451:$CB$460,3)","v":-4},null,null,null,null,null,null,null,null,null,"xE1",-4,-2,0,-4,-1,-3,-4,1,-3,-1,-5,-3,-4,-4,-4,1,1,1,-2,1,-5,-4,-3,-2,-4,-1,1,-3,-1,1,1,-2,-3,1,-1,1,-5,1,-2,-5,-5,-3,-1,-4,-3,-4,-5,-5,-1,-3,-3,0,-3,-4,{"$f":"RANDBETWEEN(-5,1)","v":-1},1,{"$f":"RANDBETWEEN(-5,1)","v":1}]
[null,null,"f´(x)=",null,{"$f":"IF(N453<0,\"- \",\"\")&IF(N453>0,\"\",\"\")&IF(N453=0,\"\",IF(ABS(N453)=1,\" x^2 \",ABS(N453)&\" x^2 \"))&IF(N454>0,IF(N453<>0,\" + \",\"\"),\"\")&IF(N454<0,\" - \",\"\")&IF(N454=0,\"\",IF(ABS(N454)=1,\" x \",ABS(N454)&\" x \"))&IF(N455>0,IF(N453^2+N454^2<>0,\" + \",\"\"),\"\")&IF(N455<0,\" - \",\"\")&IF(N455=0,\"\",IF(ABS(N455)=1,\"1\",ABS(N455)&\"\"))","v":"- 1,5 x^2  - 9 x  - 12"},null,null,null,null,"c",{"$f":"N455","v":-12},"x3",{"$f":"HLOOKUP(ID,$AA$451:$CB$460,9)","v":3},{"$f":"N453*(-P453-P454)","v":-9},{"$f":"N453*2","v":-3},{"$f":"HLOOKUP(ID,$AA$451:$CB$460,4)","v":-2},null,null,null,null,null,null,"zwei versch.",null,null,"xE2",-2,4,2,-2,5,5,0,9,-1,1,-1,5,4,4,-2,5,3,3,4,5,-3,0,3,0,4,1,9,5,1,9,7,4,3,7,7,5,-3,5,4,1,-1,3,1,4,5,-2,-1,3,1,-1,5,8,3,2,{"$f":"CC453+2*RANDBETWEEN(1,4)","v":3},5,{"$f":"CE453+2*RANDBETWEEN(1,4)","v":5}]
[null,null,"f´´(x)",null,{"$f":"IF(O453<0,\" - \",\"\")&IF(O453>0,\" + \",\"\")&IF(O453=0,\"\",IF(ABS(O453)=1,\" x^2 \",ABS(O453)&\" x^2 \"))&IF(O454>0,IF(O453<>0,\" + \",\"\"),\"\")&IF(O454<0,\" - \",\"\")&IF(O454=0,\"\",IF(ABS(O454)=1,\" x \",ABS(O454)&\" x \"))&IF(O455>0,IF(O453^2+O454^2<>0,\" + \",\"\"),\"\")&IF(O455<0,\" - \",\"\")&IF(O455=0,\"\",IF(ABS(O455)=1,\"1\",ABS(O455)&\"\"))","v":" - 3 x  - 9"},null,null,null,null,"d",{"$f":"HLOOKUP(ID,$AA$424:$CB$432,5)","v":4},"x4",null,{"$f":"N453*(P453*P454)","v":-12},{"$f":"N454","v":-9},null,null,null,null,null,null,null,null,null,null,"c",-5,3,-3,3,4,-5,2,-2,-1,-3,-2,-4,2,-1,-4,-5,-1,-2,5,2,-4,4,-1,-1,0,-3,0,3,4,-3,0,1,-5,2,0,-4,-2,-5,0,-5,2,3,4,2,5,-4,1,-3,-4,-2,-3,-2,-2,2,{"$f":"RANDBETWEEN(-5,5)","v":-1},-2,{"$f":"RANDBETWEEN(-5,5)","v":-3}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stellen",3,-2,-3,3,0,-3,-5,2,4,0,-1,1,5,5,-1,5,1,-2,-2,-1,-2,-2,0,5,-3,3,-2,3,1,-3,0,0,3,-3,0,4,-3,-5,1,0,0,0,-3,5,1,4,-1,-4,-3,4,0,3,1,3,0,-1,2]
[null,null,null,null,null,null,-7,{"$f":"$K$452*G457^3+$K$453*G457^2+$K$454*G457+$K$455","v":39},null,null,null,{"$f":"\"Gegeben ist die Funktion f mit\"","v":"Gegeben ist die Funktion f mit"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,-1,-4,-4,-5,-4,5,2,-1,-1,5,-2,-3,5,-1,1,3,-2,-4,5,1,-3,4,1,-4,0,5,4,0,5,4,-1,-4,5,-3,-1,5,4,4,-5,-2,2,-5,2,4,1,-1,-4,-2,-2,-4,0,-5,1,0,-4,4,0]
[null,null,null,null,null,null,{"$f":"G457+1","v":-6},{"$f":"$K$452*G458^3+$K$453*G458^2+$K$454*G458+$K$455","v":22},null,null,null,{"$f":"\"f(x)=\"&E453","v":"f(x)=-0,5x^3 - 4,5 x^2  - 12 x  + 4"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,-5,5,0,3,1,-2,4,-2,-2,-5,2,2,0,4,-2,-3,-5,-5,-3,0,2,-1,-5,-1,4,1,3,0,-5,-2,0,3,-3,4,0,2,2,-1,3,1,2,0,-1,2,1,-4,2,2,-5,0,-3,4,1,3,1,2]
[null,null,null,null,null,null,-5,14,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,1,-3,1,-1,-4,1,-3,-3,1,-3,-2,-2,1,-2,-2,5,5,-3,-2,2,3,-1,2,3,-2,-4,-4,1,3,5,-1,3,3,4,3,-2,-1,-5,3,-5,1,-2,-3,5,-4,-1,-4,-5,3,4,-3,2,5,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":-5},-3,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":-1}]
[null,{"$f":"IF(T460<>\"\",1,0)","v":0},null,null,null,null,-4,12,"a)",null,null,"Gib die Gleichung der Ableitungsfunktion an: f´(x)=",null,null,null,null,null,null,{"$f":"IF(N453<0,\"-\",\"\")&IF(N453>0,\"\",\"\")&IF(N453=0,\"\",IF(ABS(N453)=1,\"x^2\",ABS(N453)&\"x^2\"))&IF(N454>0,IF(N453<>0,\"+\",\"\"),\"\")&IF(N454<0,\"-\",\"\")&IF(N454=0,\"\",IF(ABS(N454)=1,\"x\",ABS(N454)&\"x\"))&IF(N455>0,IF(N453^2+N454^2<>0,\"+\",\"\"),\"\")&IF(N455<0,\"-\",\"\")&IF(N455=0,\"\",IF(ABS(N455)=1,\"\",ABS(N455)&\"\"))","v":"-1,5x^2-9x-12"},{"$f":"IF(ISBLANK(Aufgaben!E398),\"\",IF(Aufgaben!E398=S460,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,-3,13]
[null,{"$f":"IF(T462<>\"\",1,0)","v":0},null,null,null,null,-2,14,"b)",null,null,"Gib die Gleichung der zweiten Ableitung an: f´´(x)=",null,null,null,null,null,null,{"$f":"IF(O453<0,\"-\",\"\")&IF(O453>0,\"+\",\"\")&IF(O453=0,\"\",IF(ABS(O453)=1,\"x^2\",ABS(O453)&\"x^2\"))&IF(O454>0,IF(O453<>0,\"+\",\"\"),\"\")&IF(O454<0,\"-\",\"\")&IF(O454=0,\"\",IF(ABS(O454)=1,\"x\",ABS(O454)&\"x\"))&IF(O455>0,IF(O453^2+O454^2<>0,\"+\",\"\"),\"\")&IF(O455<0,\"-\",\"\")&IF(O455=0,\"\",IF(ABS(O455)=1,\"\",ABS(O455)&\"\"))","v":"-3x-9"},{"$f":"IF(ISBLANK(Aufgaben!E400),\"\",IF(Aufgaben!E400=S462,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,-1,12]
[null,{"$f":"IF(T464<>\"\",1,0)","v":0},null,null,null,null,0,4,"c)",null,{"$f":"M452","v":-1},{"$f":"\"Welchen Wert nimmt f an der Stelle \"&K464&\" an?\"","v":"Welchen Wert nimmt f an der Stelle -1 an?"},null,null,null,null,null,null,{"$f":"K452*K464^3+K453*K464^2+K454*K464+K455","v":12},{"$f":"IF(ISBLANK(Aufgaben!E402),\"\",IF(Aufgaben!E402=S464,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,1,-13]
[null,{"$f":"IF(T466<>\"\",1,0)","v":0},null,null,null,null,2,-42,"d)",null,{"$f":"M453","v":3},{"$f":"\"Welche Steigung hat f an der Stelle \"&K466&\"?\"","v":"Welche Steigung hat f an der Stelle 3?"},null,null,null,null,null,null,{"$f":"N453*K466^2+N454*K466+N455","v":-52.5},{"$f":"IF(ISBLANK(Aufgaben!E404),\"\",IF(Aufgaben!E404=S466,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,3,-86]
[null,{"$f":"IF(T468<>\"\",1,0)","v":0},null,null,null,null,4,-148,"e)",{"$f":"M454","v":3},{"$f":"N453*J468^2+N454*J468+N455","v":-52.5},{"$f":"\"An welcher Stelle hat f die Steigung \"&K468&\"?\"","v":"An welcher Stelle hat f die Steigung -52,5?"},null,null,null,null,null,null,{"$f":"-N454/(2*N453)-(N454^2/(2*N453)^2-(N455-K468)/N453)^0.5","v":-9},{"$f":"IF(ISBLANK(Aufgaben!E406),\"\",IF(Aufgaben!E406=S468,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(T469<>\"\",1,0)","v":0},null,null,null,null,5,-231,null,null,null,null,null,null,null,null,null,null,{"$f":"-N454/(2*N453)+(N454^2/(2*N453)^2-(N455-K468)/N453)^0.5","v":3},{"$f":"IF(ISBLANK(Aufgaben!E407),\"\",IF(Aufgaben!E407=S469,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(T471<>\"\",1,0)","v":0},null,null,null,null,null,null,"f)",null,null,{"$f":"\"Berechne die Extremstellen (erst nur notw. Bed.).\"","v":"Berechne die Extremstellen (erst nur notw. Bed.)."},null,null,null,null,null,null,{"$f":"P453","v":-4},{"$f":"IF(ISBLANK(Aufgaben!E409),\"\",IF(Aufgaben!E409=S471,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(T472<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"P454","v":-2},{"$f":"IF(ISBLANK(Aufgaben!E410),\"\",IF(Aufgaben!E410=S472,\"richtig!\",\"\"))","v":""}]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"hinr.Bed:        f´´( \"&Aufgaben!E409&\")=\"","v":"hinr.Bed:        f´´( )="},null,null,null,null,{"$f":"$O$454*S471+$O$455","v":3},{"$f":"IF(Aufgaben!C412<0,\"<0\",\"\")&IF(Aufgaben!C412>0,\">0\",\"\")","v":""},{"$f":"IF(Aufgaben!C412<0,\"Maximalstelle\",\"\")&IF(Aufgaben!C412>0,\"Minimalstelle\",\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!C412),\"\",IF(Aufgaben!C412=Q474,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!D412),\"\",IF(Aufgaben!D412=R474,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!E412),\"\",IF(Aufgaben!E412=S474,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"hinr.Bed:        f´´( \"&Aufgaben!E410&\")=\"","v":"hinr.Bed:        f´´( )="},null,null,null,null,{"$f":"$O$454*S472+$O$455","v":-3},{"$f":"IF(Aufgaben!C414<0,\"<0\",\"\")&IF(Aufgaben!C414>0,\">0\",\"\")","v":""},{"$f":"IF(Aufgaben!C414<0,\"Maximalstelle\",\"\")&IF(Aufgaben!C414>0,\"Minimalstelle\",\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!C414),\"\",IF(Aufgaben!C414=Q476,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!D414),\"\",IF(Aufgaben!D414=R476,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!E414),\"\",IF(Aufgaben!E414=S476,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(T479<>\"\",1,0)","v":0},null,null,null,null,null,null,"g)",null,null,{"$f":"\"Berechne die Wendestelle (erst nur notw. Bed.).\"","v":"Berechne die Wendestelle (erst nur notw. Bed.)."},null,null,null,null,null,null,{"$f":"(S471+S472)/2","v":-3},{"$f":"IF(ISBLANK(Aufgaben!E417),\"\",IF(Aufgaben!E417=S479,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(T480<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,{"$f":"\"hinr.Bed:        f´´´( \"&Aufgaben!E415&\")=\"","v":"hinr.Bed:        f´´´( )="},null,null,null,null,{"$f":"O454","v":-3},{"$f":"IF(Aufgaben!C419<0,\"<0\",\"\")&IF(Aufgaben!C419>0,\">0\",\"\")","v":""},{"$f":"IF(Aufgaben!C419<0,\"L-R-Wendestelle\",\"\")&IF(Aufgaben!C419>0,\"R-L-Wendestelle\",\"\")","v":""}]
[null,{"$f":"IF(Q481<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(Aufgaben!C419),\"\",IF(Aufgaben!C419=Q480,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!D419),\"\",IF(Aufgaben!D419=R480,\"genau!\",\"\"))","v":""},{"$f":"IF(ISBLANK(Aufgaben!E419),\"\",IF(Aufgaben!E419=S480,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(T483<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,"und den Wendepunkt (…;…):",null,null,null,null,null,null,{"$f":"\"(\"&(S471+S472)/2&\";\"&K452*((S471+S472)/2)^3+K453*((S471+S472)/2)^2+K454*((S471+S472)/2)+K455&\")\"","v":"(-3;13)"},{"$f":"IF(ISBLANK(Aufgaben!E421),\"\",IF(Aufgaben!E421=S483,\"richtig!\",\"\"))","v":""}]
[]
[]
[8,"Umgang mit dem CAS"]
[]
[1,null,null,null,{"$f":"\"Aufgabe \"&A488&\" \"&E489","v":"Aufgabe 1 "}]
[]
[null,null,null,null,{"$f":"\"1/\"&L492&\"*(\"&IF(M492<0,\" - \",\"\")&IF(M492=0,\"\",IF(ABS(M492)=1,\" x^5 \",ABS(M492)&\" x^5 \"))&IF(N492>0,IF(M492<>0,\" + \",\"\"),\"\")&IF(N492<0,\" - \",\"\")&IF(N492=0,\"\",IF(ABS(N492)=1,\" x^4 \",ABS(N492)&\" x^4 \"))&IF(O492>0,IF(M492^2+N492^2<>0,\" + \",\"\"),\"\")&IF(O492<0,\" - \",\"\")&IF(O492=0,\"\",IF(ABS(O492)=1,\"\",ABS(O492)&\"\"))&\"x^3)\"","v":"1/200*( x^5  - 14 x^4  + 49x^3)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,null,null,0,{"$f":"1/L$492*G491^3*(G491-P$492)^2","v":0},null,null,null,"a",{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)+2","v":"x^5"},{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)+1","v":"x^4"},{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)","v":"x^3"},null,null,null,null,null,null,null,null,null,null,"1/a",200,100,200,300,500,300,500,400,300,300,400,500,500,500,300,300,200,300,100,400,100,200,100,400,300,500,500,300,300,100,100,300,200,100,500,300,400,300,500,500,100,200,100,100,200,500,400,300,300,500,200,500,500,400,{"$f":"RANDBETWEEN(1,5)*100","v":300},500,{"$f":"RANDBETWEEN(1,5)*100","v":300}]
[null,null,null,null,null,null,{"$f":"G491+1","v":1},{"$f":"1/$L$492*G492^3*(G492-$P$492)^2","v":0.18},null,null,"f",{"$f":"HLOOKUP(ID,$AA$490:$CB$493,2)","v":200},1,{"$f":"-2*HLOOKUP(ID,$AA$490:$CB$493,3)","v":-14},{"$f":"HLOOKUP(ID,$AA$490:$CB$493,3)^2","v":49},{"$f":"HLOOKUP(ID,$AA$490:$CB$493,3)","v":7},null,null,null,null,null,null,null,null,null,"xN",7,10,10,12,10,9,13,7,6,6,6,11,10,13,11,6,6,9,7,6,12,6,11,7,9,6,6,8,11,6,9,12,13,13,9,12,6,12,11,10,9,10,11,8,13,13,6,7,9,9,7,12,10,9,{"$f":"RANDBETWEEN(6,13)","v":9},13,{"$f":"RANDBETWEEN(6,13)","v":9}]
[null,null,null,null,null,null,{"$f":"IF(H492=0,G492,G492+1)","v":2},{"$f":"1/L$492*G493^3*(G493-P$492)^2","v":1},null,null,"f´",{"$f":"HLOOKUP(ID,$AA$490:$CB$493,2)","v":200},5,{"$f":"-2*HLOOKUP(ID,$AA$490:$CB$493,3)*4","v":-56},{"$f":"HLOOKUP(ID,$AA$490:$CB$493,3)^2*3","v":147},null,null,null,null,null,null,null,"*x^2 oder *x^3",null,null,null,3,2,2,2,3,2,3,2,3,3,2,3,3,3,2,3,2,3,2,2,2,3,3,3,2,3,3,2,2,3,3,3,3,2,2,3,2,3,2,3,3,3,2,3,3,2,2,2,3,2,2,3,3,3,{"$f":"RANDBETWEEN(2,3)","v":2},3,{"$f":"RANDBETWEEN(2,3)","v":3}]
[null,null,null,null,null,null,3,2.16]
[null,{"$f":"IF(T495<>\"\",1,0)","v":0},null,null,null,null,4,2.88,"a)",null,"???","Gib die Gleichung der Ableitungsfunktion an: f´(x)=",null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,2,5,5,1,3,5,2,4,3,3,3,3,5,2,5,2,4,4,5,1,5,3,5,3,2,5,1,1,1,2,5,4,3,2,3,4,3,4,4,5,2,5,4,2,2,1,4,4,1,4,1,4,{"$f":"RANDBETWEEN(1,5)","v":4},1,{"$f":"RANDBETWEEN(1,5)","v":2}]
[null,null,null,null,null,null,5,2.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,9,7,7,12,7,6,6,6,10,10,9,11,6,6,8,7,6,11,6,8,6,9,6,6,7,7,6,8,9,9,10,8,11,6,11,11,6,7,7,10,7,11,9,6,7,7,8,7,11,9,8,{"$f":"RANDBETWEEN(6,CC492)","v":8},11,{"$f":"RANDBETWEEN(6,CE492)","v":7}]
[null,{"$f":"IF(T497<>\"\",1,0)","v":0},null,null,null,null,6,1.08,"b)",null,{"$f":"HLOOKUP(ID,$AA$490:$CB$502,6)","v":2},{"$f":"\"Welchen Wert nimmt f an der Stelle \"&K497&\" an?\"","v":"Welchen Wert nimmt f an der Stelle 2 an?"},null,null,null,null,null,null,{"$f":"ROUND(1/$L$492*K497^3*(K497-$P$492)^2,1)","v":1},{"$f":"IF(Aufgaben!E437=S497,\"korrekt\",IF(ABS(Aufgaben!E437-S497)<=0.1,\"Runden überprüfen (eine Nachkommastelle)!\",\"\"))","v":""},{"$f":"IF(Aufgaben!E439>$P$492,\"Nicht im Definitionsbereich!\",\"\")","v":""},null,null,null,null,null,4]
[null,null,null,null,null,null,7,0,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(Aufgaben!E440>$P$492,\"Nicht im Definitionsbereich!\",\"\")","v":""},null,null,null,null,null,3]
[null,{"$f":"IF(T499<>\"\",1,0)","v":0},null,null,null,null,7,0,"c)",null,{"$f":"HLOOKUP(ID,$AA$490:$CB$502,9)","v":3},{"$f":"\"An welcher Stelle der Definitionsmenge nimmt f\"","v":"An welcher Stelle der Definitionsmenge nimmt f"},null,null,null,null,null,null,"keine Ahnung",{"$f":"IF(ABS(1/$L$492*Aufgaben!E439^3*(Aufgaben!E439-$P$492)^2-K499)<=0.2,\"stimmt!\",\"\")","v":""}]
[null,{"$f":"IF(T500=\"Stimmt!\",1,0)","v":0},null,null,null,null,7,0,null,null,null,{"$f":"\"den Wert \"&K499&\" an?\"","v":"den Wert 3 an?"},null,null,null,null,null,null,"keine Ahnung",{"$f":"IF(Aufgaben!E439=Aufgaben!E440,\"andere Lösung eingeben!\",IF(ABS(1/$L$492*Aufgaben!E440^3*(Aufgaben!E440-$P$492)^2-K499)<=0.2,\"Stimmt!\",\"\"))","v":"andere Lösung eingeben!"}]
[null,null,null,null,null,null,7,0]
[null,{"$f":"IF(T502<>\"\",1,0)","v":0},null,null,null,null,7,0,"d)",{"$f":"HLOOKUP(ID,$AA$490:$CB$502,6)","v":2},{"$f":"HLOOKUP(ID,$AA$490:$CB$502,7)","v":6},{"$f":"\"Berechne die Steigung von f im Bereich [\"&J502&\";\"&K502&\"].\"","v":"Berechne die Steigung von f im Bereich [2;6]."},null,null,null,null,null,null,{"$f":"ROUND(((1/$L$492*J502^3*(J502-$P$492)^2)-(1/$L$492*K502^3*(K502-$P$492)^2))/(J502-K502),1)","v":0},{"$f":"IF(ISBLANK(Aufgaben!E442),\"\",IF(Aufgaben!E442=S502,\"richtig!\",IF(ABS(Aufgaben!E442-S502)<=0.1,\"Runden überprüfen (eine Nachkommastelle)!\",\"\")))","v":""}]
[null,null,null,null,null,null,7,0]
[null,null,null,null,null,null,{"$f":"IF(H503=0,G503,G503+1)","v":7},0]
[null,{"$f":"IF(T505<>\"\",1,0)","v":0},null,null,null,null,null,null,"e)",{"$f":"K505-0.001","v":3.9990000000000001},{"$f":"HLOOKUP(ID,$AA$490:$CB$502,8)","v":4},{"$f":"\"Berechne die Steigung von f an der Stelle \"&K505&\".\"","v":"Berechne die Steigung von f an der Stelle 4."},null,null,null,null,null,null,{"$f":"ROUND(((1/$L$492*J505^3*(J505-$P$492)^2)-(1/$L$492*K505^3*(K505-$P$492)^2))/(J505-K505),1)","v":0.2},{"$f":"IF(Aufgaben!E445=S505,\"korrekt\",IF(ABS(Aufgaben!E445-S505)<=0.1,\"Runden überprüfen (eine Nachkommastelle)!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(T507<>\"\",1,0)","v":0},null,null,null,null,null,null,"f)",null,{"$f":"HLOOKUP(ID,$AA$490:$CB$502,9)","v":3},{"$f":"\"Berechne, an welcher Stelle f die Steigung \"&K508&\" hat.\"","v":"Berechne, an welcher Stelle f die Steigung 1,08 hat."},null,null,null,null,null,null,"keine Ahnung!",{"$f":"IF(Aufgaben!E447<0,\"nicht in der Definitionsmenge.\",IF(Aufgaben!E447>P492,\"nicht in der Definitionsmenge.\",IF(ABS(1/L493*(M493*Aufgaben!E447^4+N493*Aufgaben!E447^3+O493*Aufgaben!E447^2)-K508)<0.05,\"stimmt!\",\"\")))","v":""}]
[2,{"$f":"IF(T508<>\"\",1,0)","v":0},null,null,{"$f":"\"Aufgabe \"&A508","v":"Aufgabe 2"},null,{"$f":"IF(H504=0,G504,G504+1)","v":7},{"$f":"1/L$492*G508^3*(G508-P$492)^2","v":0},null,null,{"$f":"1/L493*(M493*K507^4+N493*K507^3+O493*K507^2)","v":1.08},null,null,null,null,null,null,null,"keine Ahnung!",{"$f":"IF(Aufgaben!E448<0,\"nicht in der Definitionsmenge.\",IF(Aufgaben!E448>P492,\"nicht in der Definitionsmenge.\",IF(ABS(1/L493*(M493*Aufgaben!E448^4+N493*Aufgaben!E448^3+O493*Aufgaben!E448^2)-K508)<0.05,\"stimmt!\",\"\")))","v":""}]
[null,null,null,null,{"$f":"\"1/\"&L511&\"*(\"&IF(M511<0,\" - \",\"\")&IF(M511=0,\"\",IF(ABS(M511)=1,\" x^5 \",ABS(M511)&\" x^5 \"))&IF(N511>0,IF(M511<>0,\" + \",\"\"),\"\")&IF(N511<0,\" - \",\"\")&IF(N511=0,\"\",IF(ABS(N511)=1,\" x^4 \",ABS(N511)&\" x^4 \"))&IF(O511>0,IF(M511^2+N511^2<>0,\" + \",\"\"),\"\")&IF(O511<0,\" - \",\"\")&IF(O511=0,\"\",IF(ABS(O511)=1,\"\",ABS(O511)&\"\"))&\"x^3)\"","v":"1/400*( x^5  - 24 x^4  + 144x^3)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,null,null,0,{"$f":"1/L$511*G510^3*(G510-P$511)^2","v":0},null,null,null,"a",{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)+2","v":"x^5"},{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)+1","v":"x^4"},{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)","v":"x^3"},null,null,null,null,null,null,null,null,null,null,"1/a",400,100,200,400,500,200,200,300,300,300,500,400,500,400,100,500,300,300,100,100,200,200,400,100,200,300,300,100,100,300,300,200,400,300,200,400,200,400,100,500,200,300,500,300,100,200,300,200,100,200,500,500,100,400,{"$f":"RANDBETWEEN(1,5)*100","v":400},200,{"$f":"RANDBETWEEN(1,5)*100","v":200}]
[null,null,null,null,null,null,{"$f":"G510+1","v":1},{"$f":"1/L$511*G511^3*(G511-P$511)^2","v":0.30249999999999999},null,null,"f",{"$f":"HLOOKUP(ID,$AA$509:$CB$516,2)","v":400},1,{"$f":"-2*HLOOKUP(ID,$AA$509:$CB$516,3)","v":-24},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,3)^2","v":144},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,3)","v":12},null,null,null,null,null,null,null,null,null,"xN",12,10,12,10,10,6,10,8,7,12,6,8,11,7,11,6,10,10,7,7,9,7,8,9,6,8,10,7,12,12,6,12,9,9,8,7,6,6,13,10,9,10,10,10,6,9,10,10,8,7,13,10,7,13,{"$f":"RANDBETWEEN(6,13)","v":13},12,{"$f":"RANDBETWEEN(6,13)","v":12}]
[null,null,null,null,null,null,{"$f":"IF(H511=0,G511,G511+1)","v":2},2,null,null,"f´",{"$f":"HLOOKUP(ID,$AA$509:$CB$516,2)","v":400},5,{"$f":"-2*HLOOKUP(ID,$AA$490:$CB$493,3)*4","v":-56},{"$f":"HLOOKUP(ID,$AA$490:$CB$493,3)^2*3","v":147},null,null,null,null,null,null,null,"*x^2 oder *x^3",null,null,null,2,3,2,3,3,2,2,3,3,2,2,3,3,3,2,2,3,3,2,2,2,2,2,2,3,3,3,2,2,3,2,2,2,3,3,2,2,2,3,2,3,2,3,2,3,2,2,3,3,3,3,2,2,3,{"$f":"RANDBETWEEN(2,3)","v":3},2,{"$f":"RANDBETWEEN(2,3)","v":2}]
[null,null,null,null,null,null,3,5.4675000000000002]
[null,{"$f":"IF(T514<>\"\",1,0)","v":0},null,null,null,null,4,10.24,"a)",null,{"$f":"HLOOKUP(ID,$AA$509:$CB$516,6)","v":2},{"$f":"\"Berechne den Abstand zum Startpunkt \"","v":"Berechne den Abstand zum Startpunkt "},null,null,null,null,null,null,{"$f":"ROUND(1/$L$511*K514^3*(K514-$P$511)^2,1)","v":2},{"$f":"IF(Aufgaben!E463=S514,\"korrekt\",IF(ABS(Aufgaben!E463-S514)<=0.1,\"Runden überprüfen (eine Nachkommastelle)!\",\"\"))","v":""},null,null,null,null,null,null,2,3,1,5,1,2,4,5,5,5,1,2,5,2,5,1,4,4,5,1,1,4,3,2,2,2,2,4,4,4,4,5,3,3,2,1,3,2,2,3,4,3,1,5,3,5,4,2,3,4,3,4,1,5,{"$f":"RANDBETWEEN(1,5)","v":4},3,{"$f":"RANDBETWEEN(1,5)","v":4}]
[null,null,null,null,null,null,5,15.3125,null,null,null,{"$f":"\"nach \"&K514&\" s.\"","v":"nach 2 s."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,8,11,8,9,6,6,8,7,8,6,6,6,7,7,6,6,9,7,7,9,7,7,6,6,7,8,6,8,6,6,12,8,6,6,6,6,6,6,6,7,6,8,6,6,6,8,6,8,7,13,8,7,8,{"$f":"RANDBETWEEN(6,CC511)","v":12},11,{"$f":"RANDBETWEEN(6,CE511)","v":6}]
[null,{"$f":"IF(T516<>\"\",1,0)","v":0},null,null,null,null,6,19.440000000000001,"b)",null,{"$f":"HLOOKUP(ID,$AA$509:$CB$517,9)","v":3},{"$f":"\"Wann hat der Körper einen Abstand\"","v":"Wann hat der Körper einen Abstand"},null,null,null,null,null,null,"keine Ahnung",{"$f":"IF(ABS(1/$L$511*Aufgaben!E465^3*(Aufgaben!E465-$P$511)^2-K516)<=0.2,\"stimmt!\",\"\")","v":""},{"$f":"IF(Aufgaben!E465>$P$511,\"Nicht im Definitionsbereich!\",\"\")","v":""},null,null,null,null,null,4,3,3,3,5,4,2,2,1,1,2,5,3,4,5,1,5,3,1,4,4,1,5,5,2,1,2,3,3,1,1,4,5,1,5,1,1,5,2,3,2,3,2,1,2,4,4,1,4,1,4,4,5,3,{"$f":"RANDBETWEEN(1,5)","v":4},5,{"$f":"RANDBETWEEN(1,5)","v":4}]
[null,{"$f":"IF(T517=\"Stimmt!\",1,0)","v":0},null,null,null,null,7,21.4375,null,null,null,{"$f":"\"von \"&K516&\" m vom Startpunkt?\"","v":"von 3 m vom Startpunkt?"},null,null,null,null,null,null,"keine Ahnung",{"$f":"IF(Aufgaben!E465=Aufgaben!E466,\"andere Lösung eingeben!\",IF(ABS(1/$L$511*Aufgaben!E466^3*(Aufgaben!E466-$P$511)^2-K516)<=0.2,\"Stimmt!\",\"\"))","v":"andere Lösung eingeben!"},{"$f":"IF(Aufgaben!E466>$P$511,\"Nicht im Definitionsbereich!\",\"\")","v":""},null,null,null,null,null,3,4,1,1,3,5,5,3,3,3,1,3,4,5,1,4,5,4,2,5,1,1,1,3,1,2,5,5,2,1,2,4,5,1,2,4,2,1,3,2,1,5,1,3,5,5,3,2,5,2,5,4,3,4,4,1,5]
[null,null,null,null,null,null,8,20.48]
[null,{"$f":"IF(T519<>\"\",1,0)","v":0},null,null,null,null,9,16.4025,"c)",{"$f":"HLOOKUP(ID,$AA$509:$CB$516,6)","v":2},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,7)","v":10},{"$f":"\"Berechne die mittlere Geschwindigkeit\"","v":"Berechne die mittlere Geschwindigkeit"},null,null,null,null,null,null,{"$f":"ROUND(((1/$L$511*J519^3*(J519-$P$511)^2)-(1/$L$511*K519^3*(K519-$P$511)^2))/(J519-K519),1)","v":1},{"$f":"IF(ISBLANK(Aufgaben!E468),\"\",IF(Aufgaben!E468=S519,\"richtig!\",IF(ABS(Aufgaben!E468-S519)<=0.1,\"Runden überprüfen  (eine Nachkommastelle)!\",\"\")))","v":""}]
[null,null,null,null,null,null,10,10,null,null,null,{"$f":"\"im Zeitraum [\"&J519&\";\"&K519&\"].\"","v":"im Zeitraum [2;10]."}]
[null,null,null,null,null,null,11,3.3275000000000001]
[null,{"$f":"IF(T522<>\"\",1,0)","v":0},null,null,null,null,12,0,"d)",{"$f":"K522-0.01","v":1.99},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,6)","v":2},{"$f":"\"Berechne die (Momentan-)Geschwindigkeit nach \"&K522&\" s.\"","v":"Berechne die (Momentan-)Geschwindigkeit nach 2 s."},null,null,null,null,null,null,{"$f":"ROUND(((1/$L$511*J522^3*(J522-$P$511)^2)-(1/$L$511*K522^3*(K522-$P$511)^2))/(J522-K522),1)","v":2.6},{"$f":"IF(Aufgaben!E471=S522,\"korrekt\",IF(ABS(Aufgaben!E471-S522)<=0.1,\"Runden überprüfen (eine Nachkommastelle)!\",\"\"))","v":""}]
[null,null,null,null,null,null,12,0]
[null,{"$f":"IF(T524<>\"\",1,0)","v":0},null,null,null,null,null,null,"e)",null,{"$f":"HLOOKUP(ID,$AA$490:$CB$502,9)","v":3},{"$f":"\"Berechne, wann eine Geschwindigkeit \"","v":"Berechne, wann eine Geschwindigkeit "},null,null,null,null,null,null,"keine Ahnung!",{"$f":"IF(Aufgaben!E473<0,\"nicht in der Definitionsmenge.\",IF(Aufgaben!E473>P511,\"nicht in der Definitionsmenge.\",IF(ABS(1/L512*(M512*Aufgaben!E473^4+N512*Aufgaben!E473^3+O512*Aufgaben!E473^2)-K525)<0.05,\"stimmt!\",\"\")))","v":""}]
[null,{"$f":"IF(T525<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,{"$f":"1/L512*(M512*K524^4+N512*K524^3+O512*K524^2)","v":0.54},{"$f":"\"von \"&K525&\" m/s erreicht ist.\"","v":"von 0,54 m/s erreicht ist."},null,null,null,null,null,null,"keine Ahnung!",{"$f":"IF(Aufgaben!E474<0,\"nicht in der Definitionsmenge.\",IF(Aufgaben!E474>P511,\"nicht in der Definitionsmenge.\",IF(ABS(1/L512*(M512*Aufgaben!E474^4+N512*Aufgaben!E474^3+O512*Aufgaben!E474^2)-K525)<0.05,\"stimmt!\",\"\")))","v":""}]
[]
[null,null,null,null,"BAUSTELLE"]
[null,null,null,null,"Aufgabe",9,{"$f":"IF(H527=0,G527,G527+1)","v":0},{"$f":"1/L$492*G528^3*(G528-P$492)^2","v":0}]
["*",null,null,null,{"$f":"\"1/\"&L531&\"*(\"&IF(M531<0,\" - \",\"\")&IF(M531=0,\"\",IF(ABS(M531)=1,\" x^5 \",ABS(M531)&\" x^5 \"))&IF(N531>0,IF(M531<>0,\" + \",\"\"),\"\")&IF(N531<0,\" - \",\"\")&IF(N531=0,\"\",IF(ABS(N531)=1,\" x^4 \",ABS(N531)&\" x^4 \"))&IF(O531>0,IF(M531^2+N531^2<>0,\" + \",\"\"),\"\")&IF(O531<0,\" - \",\"\")&IF(O531=0,\"\",IF(ABS(O531)=1,\"\",ABS(O531)&\"\"))&\"x^3)\"","v":"1/400*( x^5  - 24 x^4  + 144x^3)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
["*",null,null,null,null,null,0,{"$f":"1/L$511*G530^3*(G530-P$511)^2","v":0},null,null,null,"a",{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)+2","v":"x^5"},{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)+1","v":"x^4"},{"$f":"\"x^\"&HLOOKUP(ID,$AA$490:$CB$493,4)","v":"x^3"},null,null,null,null,null,null,null,null,null,null,"1/a",400,400,300,400,400,500,200,400,400,300,100,100,500,400,200,400,400,200,300,100,300,300,100,300,500,300,300,300,500,500,100,100,400,300,500,200,400,100,200,200,400,100,300,400,500,100,300,300,200,500,300,200,300,400,{"$f":"RANDBETWEEN(1,5)*100","v":500},200,{"$f":"RANDBETWEEN(1,5)*100","v":100}]
["*",null,null,null,null,null,{"$f":"G530+1","v":1},{"$f":"1/L$511*G531^3*(G531-P$511)^2","v":0.30249999999999999},null,null,"f",{"$f":"HLOOKUP(ID,$AA$509:$CB$516,2)","v":400},1,{"$f":"-2*HLOOKUP(ID,$AA$509:$CB$516,3)","v":-24},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,3)^2","v":144},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,3)","v":12},null,null,null,null,null,null,null,null,null,"xN",12,13,6,13,13,12,6,7,13,8,9,8,13,13,8,13,7,13,9,10,13,9,12,6,8,10,8,9,10,7,12,9,7,13,8,6,7,9,8,11,6,8,9,11,13,8,13,9,9,12,10,12,7,13,{"$f":"RANDBETWEEN(6,13)","v":11},12,{"$f":"RANDBETWEEN(6,13)","v":6}]
["*",null,null,null,null,null,{"$f":"IF(H531=0,G531,G531+1)","v":2},2,null,null,"f´",{"$f":"HLOOKUP(ID,$AA$509:$CB$516,2)","v":400},5,{"$f":"-2*HLOOKUP(ID,$AA$490:$CB$493,3)*4","v":-56},{"$f":"HLOOKUP(ID,$AA$490:$CB$493,3)^2*3","v":147},null,null,null,null,null,null,null,"*x^2 oder *x^3",null,null,null,2,2,3,3,2,2,2,2,3,2,2,2,3,2,2,3,2,3,2,2,2,2,2,2,3,3,2,2,2,3,2,2,2,3,2,3,3,3,3,3,2,3,2,3,3,2,2,2,3,2,3,3,2,3,{"$f":"RANDBETWEEN(2,3)","v":3},3,{"$f":"RANDBETWEEN(2,3)","v":2}]
["*",null,null,null,null,null,3,5.4675000000000002]
["*",null,null,null,null,null,4,10.24,"a)",null,{"$f":"HLOOKUP(ID,$AA$509:$CB$516,6)","v":2},{"$f":"\"Berechne den Abstand zum Startpunkt \"","v":"Berechne den Abstand zum Startpunkt "},null,null,null,null,null,null,{"$f":"ROUND(1/$L$511*K534^3*(K534-$P$511)^2,1)","v":2},{"$f":"IF(Aufgaben!#REF!=S534,\"korrekt\",IF(ABS(Aufgaben!#REF!-S534)<=0.1,\"Runden überprüfen (eine Nachkommastelle)!\",\"\"))","v":{"$error":"#REF!"}},null,null,null,null,null,null,2,3,1,3,5,5,1,3,2,1,4,1,4,2,4,4,2,5,3,5,5,2,2,3,5,5,3,1,1,2,1,4,2,1,4,4,1,1,2,5,3,4,4,2,3,5,3,4,2,3,1,3,1,2,{"$f":"RANDBETWEEN(1,5)","v":5},1,{"$f":"RANDBETWEEN(1,5)","v":1}]
["*",null,null,null,null,null,5,15.3125,null,null,null,{"$f":"\"nach \"&K534&\" s.\"","v":"nach 2 s."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,13,6,6,13,6,6,7,9,8,9,7,11,9,7,8,6,8,6,6,6,7,9,6,6,10,8,8,8,6,11,8,6,11,7,6,6,8,8,11,6,7,9,8,7,8,13,9,9,7,10,12,6,13,{"$f":"RANDBETWEEN(6,CC531)","v":9},11,{"$f":"RANDBETWEEN(6,CE531)","v":6}]
["*",null,null,null,null,null,6,19.440000000000001,"b)",null,{"$f":"HLOOKUP(ID,$AA$509:$CB$517,9)","v":3},{"$f":"\"Wann hat der Körper einen Abstand\"","v":"Wann hat der Körper einen Abstand"},null,null,null,null,null,null,"keine Ahnung",{"$f":"IF(ABS(1/$L$511*Aufgaben!#REF!^3*(Aufgaben!#REF!-$P$511)^2-K536)<=0.2,\"stimmt!\",\"\")","v":{"$error":"#REF!"}},{"$f":"IF(Aufgaben!#REF!>$P$511,\"Nicht im Definitionsbereich!\",\"\")","v":{"$error":"#REF!"}},null,"Ausgangslösung",null,null,null,4,6,4,6,3,6,6,1,5,1,1,2,2,3,4,2,6,1,6,3,3,2,1,1,1,1,4,6,3,6,1,5,6,1,6,2,5,1,2,6,4,2,4,4,2,3,6,1,4,5,6,2,2,6,{"$f":"RANDBETWEEN(1,6)","v":6},4,{"$f":"RANDBETWEEN(1,6)","v":2}]
["*",null,null,null,null,null,7,21.4375,null,null,null,{"$f":"\"von \"&K536&\" m vom Startpunkt?\"","v":"von 3 m vom Startpunkt?"},null,null,null,null,null,null,"keine Ahnung",{"$f":"IF(Aufgaben!#REF!=Aufgaben!#REF!,\"andere Lösung eingeben!\",IF(ABS(1/$L$511*Aufgaben!#REF!^3*(Aufgaben!#REF!-$P$511)^2-K536)<=0.2,\"stimmt!\",\"\"))","v":{"$error":"#REF!"}},{"$f":"IF(Aufgaben!#REF!>$P$511,\"Nicht im Definitionsbereich!\",\"\")","v":{"$error":"#REF!"}},null,null,null,null,null,15.68,19.440000000000001,10.24,19.440000000000001,5.4675000000000002,19.440000000000001,19.440000000000001,0.30249999999999999,15.3125,0.30249999999999999,0.30249999999999999,2,2,5.4675000000000002,10.24,2,19.440000000000001,0.30249999999999999,19.440000000000001,5.4675000000000002,5.4675000000000002,2,0.30249999999999999,0.30249999999999999,0.30249999999999999,0.30249999999999999,10.24,19.440000000000001,5.4675000000000002,19.440000000000001,0.30249999999999999,15.3125,19.440000000000001,0.30249999999999999,19.440000000000001,2,15.3125,0.30249999999999999,2,19.440000000000001,10.24,2,10.24,10.24,2,5.4675000000000002,19.440000000000001,0.30249999999999999,10.24,15.3125,19.440000000000001,2,2,19.440000000000001,{"$f":"1/$L$511*CC536^3*(CC536-$P$511)^2","v":19.440000000000001},10.24,{"$f":"1/$L$511*CE536^3*(CE536-$P$511)^2","v":2}]
[null,null,null,null,null,null,8,20.48,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Startwert"]
[null,null,null,null,null,null,9,16.4025,"c)",{"$f":"HLOOKUP(ID,$AA$509:$CB$516,6)","v":2},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,7)","v":10},{"$f":"\"Berechne die mittlere Geschwindigkeit\"","v":"Berechne die mittlere Geschwindigkeit"},null,null,null,null,null,null,{"$f":"ROUND(((1/$L$511*J539^3*(J539-$P$511)^2)-(1/$L$511*K539^3*(K539-$P$511)^2))/(J539-K539),1)","v":1},{"$f":"IF(ISBLANK(Aufgaben!#REF!),\"\",IF(Aufgaben!#REF!=S539,\"richtig!\",IF(ABS(Aufgaben!#REF!-S539)<=0.1,\"Runden überprüfen  (eine Nachkommastelle)!\",\"\")))","v":{"$error":"#REF!"}},null,"Newton klappt nicht!","Newton1"]
[null,null,null,null,null,null,10,10,null,null,null,{"$f":"\"im Zeitraum [\"&J539&\";\"&K539&\"].\"","v":"im Zeitraum [2;10]."},null,null,null,null,null,null,null,null,null,null,"Newton1"]
[null,null,null,null,null,null,11,3.3275000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Newton1"]
[null,null,null,null,null,null,12,0,"d)",{"$f":"K542-0.01","v":1.99},{"$f":"HLOOKUP(ID,$AA$509:$CB$516,6)","v":2},{"$f":"\"Berechne die (Momentan-)Geschwindigkeit nach \"&K542&\" s.\"","v":"Berechne die (Momentan-)Geschwindigkeit nach 2 s."},null,null,null,null,null,null,{"$f":"ROUND(((1/$L$511*J542^3*(J542-$P$511)^2)-(1/$L$511*K542^3*(K542-$P$511)^2))/(J542-K542),1)","v":2.6},{"$f":"IF(Aufgaben!E505=S542,\"korrekt\",IF(ABS(Aufgaben!E505-S542)<=0.1,\"Runden überprüfen (eine Nachkommastelle)!\",\"\"))","v":""},null,null,"Newton1"]
[null,null,null,null,null,null,12,0]
[]
[]
[]
[]
[]
[]
[]
[10,"Zufallsvariablen"]
[1,null,null,null,{"$f":"\"Aufgabe \"&A552&\" \"&E553","v":"Aufgabe 1 "}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"Ein Glücksspiel wird angeboten, bei dem Glücksrad gedreht wird.\"","v":"Ein Glücksspiel wird angeboten, bei dem Glücksrad gedreht wird."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,null,null,null,null,null,null,null,"Das Glücksrad zeigt…",null,null,null,null,null,null,null,null,null,null,null,null,null,"n",14,13,8,16,12,21,6,19,6,14,12,13,14,5,6,14,7,5,24,12,12,3,16,6,8,11,14,13,13,9,15,15,10,13,8,12,8,7,17,9,9,7,10,14,7,16,11,18,11,9,12,18,14,14,{"$f":"SUM(CC555:CC558)","v":10},9,19]
[null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,3)","v":3},{"$f":"HLOOKUP(ID,$AA$553:$CB$575,2)","v":14},{"$f":"H555/I555","v":0.21428571428571427},{"$f":"HLOOKUP(ID,$AA$553:$CB$575,7)","v":6},{"$f":"\" mit einer Wahrscheinlichkeit von \"&H555&\"/\"&I555&\" \"&Z555&\" und du \"&IF(K555>=0,\"gewinnst \"&K555&\" €.\",\"verlierst \"&-K555&\" €.\")","v":" mit einer Wahrscheinlichkeit von 3/14 Rot und du gewinnst 6 €."},null,null,null,null,null,null,null,null,null,null,null,null,null,"Rot",3,3,1,5,5,4,6,5,4,3,3,2,5,1,0,0,5,4,6,6,2,1,4,4,2,1,6,0,4,5,4,3,0,2,1,3,3,0,2,3,3,1,3,4,0,2,3,3,6,3,4,1,4,3,{"$f":"RANDBETWEEN(0,6)","v":2},5,4]
[null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,4)","v":5},{"$f":"HLOOKUP(ID,$AA$553:$CB$575,2)","v":14},{"$f":"H556/I556","v":0.35714285714285715},{"$f":"HLOOKUP(ID,$AA$553:$CB$575,8)","v":8},{"$f":"\" mit einer Wahrscheinlichkeit von \"&H556&\"/\"&I556&\" \"&Z556&\" und du \"&IF(K556>=0,\"gewinnst \"&K556&\" €.\",\"verlierst \"&-K556&\" €.\")","v":" mit einer Wahrscheinlichkeit von 5/14 Grün und du gewinnst 8 €."},null,null,null,null,null,null,null,null,null,null,null,null,null,"Grün",5,3,0,4,4,6,0,6,0,3,1,6,4,0,1,6,0,0,6,0,2,0,5,0,4,3,5,6,0,1,3,1,2,3,2,5,3,4,4,3,4,3,0,5,5,6,5,3,0,4,4,6,4,2,2,3,5]
[null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,5)","v":3},{"$f":"HLOOKUP(ID,$AA$553:$CB$575,2)","v":14},{"$f":"H557/I557","v":0.21428571428571427},{"$f":"HLOOKUP(ID,$AA$553:$CB$575,9)","v":8},{"$f":"\" mit einer Wahrscheinlichkeit von \"&H557&\"/\"&I557&\" \"&Z557&\" und du \"&IF(K557>=0,\"gewinnst \"&K557&\" €.\",\"verlierst \"&-K557&\" €.\")","v":" mit einer Wahrscheinlichkeit von 3/14 Gelb und du gewinnst 8 €."},null,null,null,null,null,null,null,null,null,null,null,null,null,"Gelb",3,3,6,4,2,5,0,2,1,2,4,2,2,4,5,2,1,0,6,4,6,1,4,2,2,1,3,6,6,2,4,6,5,2,0,4,0,1,6,3,1,2,4,5,0,5,2,6,2,2,1,6,6,5,5,0,4]
[null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,6)","v":3},{"$f":"HLOOKUP(ID,$AA$553:$CB$575,2)","v":14},0.21428571428571427,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,10)","v":0},{"$f":"\" mit einer Wahrscheinlichkeit von \"&H558&\"/\"&I558&\" \"&Z558&\" und du \"&IF(K558>=0,\"gewinnst \"&K558&\" €.\",\"verlierst \"&-K558&\" €.\")","v":" mit einer Wahrscheinlichkeit von 3/14 Blau und du gewinnst 0 €."},null,null,null,null,null,null,null,null,null,null,null,null,null,"Blau",3,4,1,3,1,6,0,6,1,6,4,3,3,0,0,6,1,1,6,2,2,1,3,0,0,6,0,1,3,1,4,5,3,6,5,0,2,2,5,0,1,1,3,0,2,3,1,6,3,0,3,5,0,4,{"$f":"IF(SUM(CC555:CC557)=0,RANDBETWEEN(2,6),RANDBETWEEN(0,6))","v":1},1,6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Rot",6,1,10,5,4,8,0,-1,-2,4,1,4,4,5,5,9,3,4,-2,1,8,0,8,-1,9,9,1,8,3,5,0,4,2,8,10,5,4,0,4,-2,6,2,9,10,10,3,3,1,7,10,6,5,4,7,{"$f":"RANDBETWEEN(-2,10)","v":9},-1,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Grün",8,7,-2,-1,3,9,5,1,0,0,1,-2,9,6,2,7,-2,7,6,2,8,-1,4,0,5,8,-1,1,-1,8,-2,5,4,-2,8,6,5,-1,5,10,1,5,3,7,7,7,10,6,1,1,3,7,-2,0,{"$f":"RANDBETWEEN(-2,10)","v":4},3,7]
[null,null,null,null,null,null,null,null,"a)",null,null,"Berechne den durchschnittlich zu erwartenden Gewinn.",null,null,null,null,null,null,null,null,null,null,null,null,null,"Gelb",8,2,6,2,-2,10,-1,0,1,6,4,6,2,-1,4,5,-2,7,2,0,10,0,5,8,-1,10,7,8,7,0,-2,1,7,2,7,6,10,2,5,7,5,1,4,4,10,10,0,7,4,2,-2,0,8,-1,6,3,6]
[null,{"$f":"IF(T562<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,"(bei Verlust: negative Zahl eintragen).",null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,11)","v":5.8571428571428568},{"$f":"IF(ISBLANK(Aufgaben!E489),\"\",IF(ABS(Aufgaben!E489-S562)<=0.01,\"korrekt\",IF(ABS(Aufgaben!E489-S562)<=0.1,\"Runden überprüfen (mind. 2 Nachkommastellen)!\",\"\")))","v":""},null,null,null,null,null,"Blau",0,-4,-4,-3,-3,-2,-4,-1,0,-1,-3,0,-4,-4,0,-3,-1,-3,-4,0,-2,-4,-3,-1,0,-4,-2,-1,0,-4,-2,-1,-1,-2,0,-2,-4,0,-3,-4,-4,-1,-3,0,-2,-4,-3,-1,0,-1,-2,-3,-1,-4,{"$f":"RANDBETWEEN(-4,0)","v":-2},0,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"E(X)",5.8571428571428568,1.0769230769230769,5.25,1.25,2.0833333333333335,5.9047619047619051,0,-0.26315789473684209,-1.1666666666666667,1.2857142857142858,0.66666666666666663,0.61538461538461542,3.4285714285714284,0.2,3.6666666666666665,2.4285714285714284,1.7142857142857142,2.6,0.5,0.5,7.333333333333333,-1.3333333333333333,3.9375,2,4.5,1.7272727272727273,1.5714285714285714,4.0769230769230766,4.1538461538461542,3.2222222222222223,-1.4666666666666666,1.2,4,0.15384615384615385,3.25,5.75,2.375,-0.2857142857142857,2.5294117647058822,5,2.5555555555555554,2.5714285714285716,3.4,6.7857142857142856,4.4285714285714288,5.375,5.0909090909090908,3.1666666666666665,4.5454545454545459,4.2222222222222223,2.3333333333333335,1.7777777777777777,4,0,{"$f":"(CC555*CC559+CC556*CC560+CC557*CC561+CC558*CC562)/CC554","v":5.4},0.44444444444444442,2.7894736842105261]
[null,{"$f":"IF(T564<>\"\",1,0)","v":0},null,null,null,null,null,null,"b)",null,null,"Berechne die Varianz der Zufallsvariabel \"Gewinn\".",null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,12)","v":9.9795918367346932},{"$f":"IF(ISBLANK(Aufgaben!E491),\"\",IF(ABS(Aufgaben!E491-S564)<=0.01,\"korrekt\",IF(ABS(Aufgaben!E491-S564)<=0.1,\"Runden überprüfen (mind. 2 Nachkommastellen)!\",\"\")))","v":""},null,null,null,null,null,"Var",9.9795918367346932,16.224852071005916,13.9375,9.1875,6.7430555555555554,25.419501133786849,0,0.82548476454293629,1.4722222222222223,7.3469387755102042,8.2222222222222214,9.4674556213017755,21.102040816326532,5.76,0.55555555555555547,22.530612244897959,4.204081632653061,7.84,14.75,0.25,18.222222222222218,3.5555555555555558,13.43359375,18,12.75,39.652892561983478,8.816326530612244,13.45562130177515,8.1301775147928996,12.395061728395062,0.78222222222222215,4.16,12,13.207100591715976,17.9375,0.1875,13.734375,1.0612244897959184,12.837370242214531,26,10.469135802469136,5.1020408163265305,21.840000000000003,5.7397959183673466,16.530612244897959,24.859375,22.809917355371898,12.805555555555555,8.9752066115702487,16.839506172839503,10.888888888888889,17.061728395061728,17.142857142857142,15.428571428571427,{"$f":"1/CC554*(CC555*(CC559-CC$563)^2+CC556*(CC560-CC$563)^2+CC557*(CC561-CC$563)^2+CC558*(CC562-CC$563)^2)","v":8.64},3.3580246913580241,13.008310249307479]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Standardabw",3.1590491982137117,4.0280084497187829,3.7332961307670196,3.0310889132455352,2.5967394084804805,5.0417755933586381,0,0.90856192113852996,1.2133516482134197,2.7105237087157539,2.8674417556808756,3.0769230769230771,4.5936957688038653,2.4,0.74535599249992979,4.7466422073817567,2.0503857277724746,2.8,3.8405728739343039,0.5,4.2687494916218984,1.8856180831641267,3.6651867278489374,4.2426406871192848,3.5707142142714252,6.2970542765632471,2.9692299558323607,3.6681904669434968,2.8513466142847137,3.5206621150566355,0.88443327742810662,2.0396078054371141,3.4641016151377544,3.6341574803131436,4.235268586524354,0.4330127018922193,3.7059917700933984,1.0301575072754257,3.5829276077273082,5.0990195135927845,3.2356043952357858,2.2587697572631282,4.6733285782191691,2.3957871187497748,4.0657855630736304,4.9859176687947828,4.7759729223867984,3.5784850922639815,2.9958649187789241,4.1035967361376411,3.2998316455372216,4.1305845100980232,4.1403933560541253,3.9279220242478625,{"$f":"CC564^0.5","v":2.9393876913398138},1.8324913891634045,3.6067035155814344]
[null,{"$f":"IF(T566<>\"\",1,0)","v":0},null,null,null,null,null,null,"c)",null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,14)","v":4},{"$f":"\"Berechne die Wahrscheinlichkeit, mindestens \"&K566&\" € zu gewinnen.\"","v":"Berechne die Wahrscheinlichkeit, mindestens 4 € zu gewinnen."},null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$553:$CB$575,15)","v":0.7857142857142857},{"$f":"IF(ISBLANK(Aufgaben!E493),\"\",IF(ABS(Aufgaben!E493-S566)<=0.01,\"korrekt\",IF(ABS(Aufgaben!E493-S566)<=0.1,\"Runden überprüfen (mind. 2 Nachkommastellen)!\",\"\")))","v":""},null,null,null,null,null,"k",4,2,1,4,2,2,1,4,3,1,4,2,2,1,2,1,4,4,2,2,2,1,3,1,1,1,1,4,1,4,1,4,1,2,4,3,2,2,2,4,4,2,3,4,3,3,1,4,1,1,3,2,3,2,{"$f":"RANDBETWEEN(1,4)","v":4},4,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.7857142857142857,0.46153846153846156,0.875,0.3125,0.75,0.7142857142857143,0,0,0,0.35714285714285715,0.33333333333333331,0.30769230769230771,0.7857142857142857,0.2,1,0.5714285714285714,0,0.8,0.5,0,0.83333333333333337,0,0.8125,0.33333333333333331,0.75,0.45454545454545453,0.6428571428571429,0.46153846153846156,0.76923076923076927,0.66666666666666663,0,0.26666666666666666,0.7,0.30769230769230771,0.375,1,0.75,0.14285714285714285,0.70588235294117652,0.66666666666666663,0.44444444444444442,0.5714285714285714,0.7,1,0.7142857142857143,0.8125,0.72727272727272729,0.5,0.72727272727272729,1,0.66666666666666663,0.3888888888888889,0.7142857142857143,0.21428571428571427,{"$f":"(IF(CC559>=CC566,CC555,0)+IF(CC560>=CC566,CC556,0)+IF(CC561>=CC566,CC557,0)+IF(CC562>=CC566,CC558,0))/CC$554","v":0.9},0,0.47368421052631576]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[11,"Binomialverteilung"]
[1,null,null,null,{"$f":"\"Aufgabe \"&A578&\" \"&E579","v":"Aufgabe 1 (Standardaufgaben Binomialverteilung)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(Standardaufgaben Binomialverteilung)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y578+1","v":2},"n",300,400,500,100,500,200,500,100,100,300,500,400,400,400,400,500,200,200,300,400,200,500,100,400,100,400,300,100,100,500,200,100,200,200,500,100,400,400,100,100,400,500,100,100,300,100,100,400,200,100,300,300,300,500,{"$f":"RANDBETWEEN(1,5)*100","v":200},300,{"$f":"RANDBETWEEN(1,5)*100","v":400}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$578:$CB$594,2)","v":300},{"$f":"\"Ein Produkt ist erfahrungsgemäß mit einer Wahrscheinlichkeit von \"&K581&\" defekt.\"","v":"Ein Produkt ist erfahrungsgemäß mit einer Wahrscheinlichkeit von 0,07 defekt."},null,null,null,null,null,null,null,null,null,null,null,null,3,"p",7.0000000000000007E-2,0.12,7.0000000000000007E-2,7.0000000000000007E-2,0.06,0.06,0.12,0.08,0.03,0.02,0.09,7.0000000000000007E-2,7.0000000000000007E-2,0.02,0.05,0.09,0.04,0.04,0.12,0.05,0.11,0.11,0.03,0.1,0.05,0.04,0.06,0.05,0.02,0.08,0.02,0.02,0.1,0.08,0.06,7.0000000000000007E-2,7.0000000000000007E-2,0.1,7.0000000000000007E-2,0.04,0.05,0.04,0.02,0.11,0.02,0.09,0.08,0.05,0.08,7.0000000000000007E-2,0.09,7.0000000000000007E-2,0.11,0.02,{"$f":"RANDBETWEEN(2,12)*1/100","v":0.05},0.05,{"$f":"RANDBETWEEN(2,12)*1/100","v":0.03}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$578:$CB$594,3)","v":7.0000000000000007E-2},{"$f":"\"Eine Charge von \"&K580&\" Produkten wird hergestellt.\"","v":"Eine Charge von 300 Produkten wird hergestellt."},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y580+1","v":4},"k",21,48,35,6,30,11,60,8,3,6,45,27,27,8,20,44,8,8,37,20,23,55,3,40,4,16,17,5,2,40,4,2,19,15,29,8,29,39,6,4,20,19,2,12,6,9,8,19,16,8,28,20,33,10,{"$f":"ROUND((CC579+RANDBETWEEN(-14,13))*CC580,0)","v":10},15,{"$f":"ROUND((CE579+RANDBETWEEN(-14,13))*CE580,0)","v":12}]
[null,null,null,null,null,null,null,null,null,null,null,"Berechne die Wahrscheinlichkeit, dass …",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y581+1","v":5},"khöchst",10,12,9,2,8,3,15,2,1,1,11,7,7,2,5,11,2,2,9,5,6,14,1,10,1,4,5,1,0,10,1,0,5,4,8,2,7,10,2,1,5,5,1,3,2,2,2,5,4,2,7,5,9,2,{"$f":"ROUND((CC579+RANDBETWEEN(-14,13))*CC580/4,0)","v":3},4,{"$f":"ROUND((CE579+RANDBETWEEN(-14,13))*CE580/4,0)","v":3}]
[]
[null,{"$f":"IF(T584<>\"\",1,0)","v":0},null,null,null,null,null,null,"a)",null,{"$f":"HLOOKUP(ID,$AA$578:$CB$594,4)","v":21},{"$f":"\"... sich darunter genau \"&K584&\" defekte Produkte befinden.\"","v":"... sich darunter genau 21 defekte Produkte befinden."},null,null,null,null,null,null,{"$f":"ROUND(_xlfn.BINOM.DIST(K584,$K$580,$K$581,FALSE),3)","v":0.09},{"$f":"IF(Aufgaben!E509=S584,\"korrekt\",IF(ABS(Aufgaben!E509-S584)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,{"$f":"Y582+1","v":6},"k1",20,48,35,6,30,11,59,8,3,6,45,28,28,8,20,44,8,8,34,20,22,54,3,39,4,16,18,5,2,40,4,2,19,15,29,7,28,40,7,4,20,19,2,10,6,9,7,20,16,7,26,20,32,10,{"$f":"ROUND((CC579+RANDBETWEEN(-14,5))*CC580,0)","v":10},15,{"$f":"ROUND((CE579+RANDBETWEEN(-14,5))*CE580,0)","v":12}]
[]
[null,{"$f":"IF(T586<>\"\",1,0)","v":0},null,null,null,null,null,null,"b)",null,{"$f":"HLOOKUP(ID,$AA$578:$CB$594,5)","v":10},{"$f":"\"... sich darunter höchstens \"&K586&\" defekte Produkte befinden.\"","v":"... sich darunter höchstens 10 defekte Produkte befinden."},null,null,null,null,null,null,{"$f":"ROUND(_xlfn.BINOM.DIST(K586,$K$580,$K$581,TRUE),3)","v":5.0000000000000001E-3},{"$f":"IF(Aufgaben!E511=S586,\"korrekt\",IF(ABS(Aufgaben!E511-S586)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,{"$f":"Y584+1","v":7},"k2",22,50,36,8,33,13,60,11,6,8,46,30,29,11,23,45,11,10,36,22,23,56,5,40,6,19,21,6,3,41,7,5,20,18,30,9,30,43,8,5,21,22,3,12,8,12,10,22,19,8,29,21,33,12,{"$f":"CC584+RANDBETWEEN(1,3)","v":13},18,{"$f":"CE584+RANDBETWEEN(1,3)","v":14}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"k1",20,48,35,6,30,12,60,8,3,6,44,27,27,8,20,44,8,8,34,20,21,56,3,39,4,16,18,5,2,39,4,2,20,15,29,6,28,39,6,4,20,19,2,10,6,9,8,20,16,6,28,20,33,10,{"$f":"ROUND((CC579+RANDBETWEEN(-20,7))*CC580,0)","v":9},14,{"$f":"ROUND((CE579+RANDBETWEEN(-20,7))*CE580,0)","v":11}]
[null,null,null,null,null,null,null,null,"c)",{"$f":"HLOOKUP(ID,$AA$578:$CB$594,7)","v":20},{"$f":"HLOOKUP(ID,$AA$578:$CB$594,9)","v":22},{"$f":"\"... sich darunter mindestens \"&J588&\", aber höchstens \"&K588","v":"... sich darunter mindestens 20, aber höchstens 22"},null,null,null,null,null,null,null,null,null,null,null,null,9,"k2",23,50,38,8,31,14,63,10,5,7,45,28,28,11,23,47,11,9,36,23,23,57,5,40,6,19,20,7,3,40,6,5,21,17,32,7,29,40,7,7,23,20,4,12,7,12,11,23,17,8,29,22,34,11,{"$f":"CC587+RANDBETWEEN(1,3)","v":12},16,{"$f":"CE587+RANDBETWEEN(1,3)","v":13}]
[null,{"$f":"IF(T589<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,{"$f":"\"defekte Produkte befinden.\"","v":"defekte Produkte befinden."},null,null,null,null,null,null,{"$f":"ROUND(_xlfn.BINOM.DIST(K588,$K$580,$K$581,TRUE)-_xlfn.BINOM.DIST(J588-1,$K$580,$K$581,TRUE),3)","v":0.26500000000000001},{"$f":"IF(Aufgaben!E514=S589,\"korrekt\",IF(ABS(Aufgaben!E514-S589)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,10,"nocheink",22,49,34,6,29,12,58,9,3,6,46,27,27,8,19,46,8,8,37,20,21,54,3,41,4,16,18,5,2,39,4,2,21,16,30,7,28,40,8,4,21,19,2,11,6,8,7,21,15,7,29,22,31,10,{"$f":"ROUND((CC579+RANDBETWEEN(-18,18))*CC580,0)","v":11},15,{"$f":"ROUND((CE579+RANDBETWEEN(-18,18))*CE580,0)","v":12}]
[]
[null,null,null,null,null,null,null,null,"d)",{"$f":"HLOOKUP(ID,$AA$578:$CB$594,10)","v":20},{"$f":"HLOOKUP(ID,$AA$578:$CB$594,11)","v":23},{"$f":"\"... sich darunter mehr als \"&J591-1&\" aber weniger als \"&K591+1&\" \"","v":"... sich darunter mehr als 19 aber weniger als 24 "}]
[null,{"$f":"IF(T592<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,"defekte Produkte befinden.",null,null,null,null,null,null,{"$f":"ROUND(_xlfn.BINOM.DIST(K591,$K$580,$K$581,TRUE)-_xlfn.BINOM.DIST(J591-1,$K$580,$K$581,TRUE),3)","v":0.34300000000000003},{"$f":"IF(Aufgaben!E517=S592,\"korrekt\",IF(ABS(Aufgaben!E517-S592)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""}]
[]
[null,null,null,null,null,null,null,null,"e)",null,{"$f":"HLOOKUP(ID,$AA$578:$CB$594,9)","v":22},"… die ersten beiden getesteten Produkte intakt sind und sich unter"]
[null,{"$f":"IF(T595<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,{"$f":"\"den anderen genau \"&K594&\" defekte Produkte befinden.\"","v":"den anderen genau 22 defekte Produkte befinden."},null,null,null,null,null,null,{"$f":"ROUND((1-K581)^2*_xlfn.BINOM.DIST(K594,$K$580-2,$K$581,FALSE),3)","v":7.3999999999999996E-2},{"$f":"IF(Aufgaben!E520=S595,\"korrekt\",IF(ABS(Aufgaben!E520-S595)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""}]
[]
[null,null,null,null,null,null,null,null,"f)",null,null,"Berechne, wie viele defekte Produkte "]
[null,{"$f":"IF(T598<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,"im Schnitt zu erwarten sind.",null,null,null,null,null,null,{"$f":"K580*K581","v":21.000000000000004},{"$f":"IF(Aufgaben!E523=S598,\"korrekt\",IF(ABS(Aufgaben!E523-S598)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""}]
[null,{"$f":"IF(T599<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,"Berechne die Varianz",null,null,null,null,null,null,{"$f":"S598*(1-K581)","v":19.53},{"$f":"IF(Aufgaben!E524=S599,\"korrekt\",IF(ABS(Aufgaben!E524-S599)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""}]
[null,{"$f":"IF(T600<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,"und die Standardabweichung.",null,null,null,null,null,null,{"$f":"ROUND(S599^0.5,3)","v":4.4189999999999996},{"$f":"IF(Aufgaben!E525=S600,\"korrekt\",IF(ABS(Aufgaben!E525-S600)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""}]
[]
[null,null,null,null,null,null,null,null,"g)",null,null,"Berechne die Wahrscheinlichkeit, dass …"]
[null,null,null,null,null,null,null,null,null,null,null,"… die Anzahl der defekten Produkte um weniger als"]
[null,{"$f":"IF(T604<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,"die Standardabweichung vom Erwartungswert abweicht.",null,null,null,null,null,null,{"$f":"ROUND(_xlfn.BINOM.DIST.RANGE(K580,K581,S598-S600,S598+S600),3)","v":0.74299999999999999},{"$f":"IF(Aufgaben!E529=S604,\"korrekt\",IF(ABS(Aufgaben!E529-S604)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""}]
[]
[]
[]
[{"$f":"A578+1","v":2},null,null,null,{"$f":"\"Aufgabe \"&A608&\" \"&E609","v":"Aufgabe 2 (Varianz muss man zu schätzen wissen …)"}]
[null,null,null,null,"(Varianz muss man zu schätzen wissen …)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,{"$f":"\"(\"&HLOOKUP(ID,$AA$615:$CE$665,2)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,3)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,4)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,5)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,6)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,7)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,8)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,9)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,10)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,11)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,12)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,13)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,14)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,15)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,16)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,17)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,18)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,19)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,20)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,21)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,22)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,23)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,24)&\"; \"&HLOOKUP(ID,$AA$615:$CE$665,25)&\"; \"&\"...)\"","v":"(59; 65; 61; 59; 63; 60; 63; 61; 66; 64; 64; 60; 63; 58; 60; 60; 61; 62; 59; 62; 63; 66; 63; 59; ...)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"p=",0.6,null,null,"a",1,-1,-4,-1,-1,2,1,1,-1,2,4,4,1,2,1,-4,-1,-4,-2,-2,-1,-4,2,-4,4,1,-2,1,4,-4,-1,1,-4,4,-2,-1,1,1,2,-4,-1,-2,-1,4,2,1,-2,2,-4,-2,-1,-1,-4,-2,{"$f":"(-1)^RANDBETWEEN(0,1)*2*2^(RANDBETWEEN(-1,1))","v":-4},-2,4]
[null,{"$f":"IF(T611<>\"\",1,0)","v":0},null,null,{"$f":"\"(\"&HLOOKUP(ID,$AA$615:$CE$678,60)&\"; \"&HLOOKUP(ID,$AA$615:$CE$678,61)&\")\"","v":"(59; 64)"},null,null,null,null,null,null,null,null,null,null,null,null,"E(X)",{"$f":"HLOOKUP(ID,$AA$615:$CE$698,66)","v":61.5},{"$f":"IF(Aufgaben!E543=S611,\"korrekt\",IF(ABS(Aufgaben!E543-S611)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,null,"b",1,4,1,-2,-4,-1,-4,1,2,-2,4,-2,2,-1,4,-2,4,2,4,-1,-4,2,4,2,1,-2,-1,1,-1,-4,-2,-1,4,-2,4,-2,1,1,1,2,4,1,4,2,-2,1,2,4,-4,1,-2,-1,2,1,4,4,1]
[null,{"$f":"IF(T612<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"V(X)",{"$f":"HLOOKUP(ID,$AA$615:$CE$698,72)","v":6.25},{"$f":"IF(Aufgaben!E544=S612,\"korrekt\",IF(ABS(Aufgaben!E544-S612)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,null,"c",2,4,2,4,2,2,-4,-4,4,-2,-1,4,4,-2,2,1,-4,1,1,1,1,-2,2,4,1,-4,-4,1,1,2,-1,1,2,4,-2,4,-1,4,-1,-1,4,-1,4,4,4,-2,-4,4,-4,4,4,1,2,4,-4,4,4]
[null,{"$f":"IF(T613<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sigma(X)",{"$f":"HLOOKUP(ID,$AA$615:$CE$698,79)","v":2.5},{"$f":"IF(Aufgaben!E545=S613,\"korrekt\",IF(ABS(Aufgaben!E545-S613)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,null,"d",4,-5,4,-1,0,-2,1,3,-4,5,-5,-5,-4,-1,-3,-4,-2,2,1,-5,1,-3,-2,-3,5,3,2,-3,5,5,2,5,0,5,1,-3,4,-2,4,3,3,3,4,2,-2,-2,4,5,5,1,-5,5,-2,3,{"$f":"RANDBETWEEN(-5,5)","v":4},0,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"verschieb",-12,21,23,28,27,-28,15,21,16,25,28,-15,-25,23,-23,24,-16,18,29,20,20,-20,-16,30,-15,21,-16,-27,-18,18,-21,-20,16,-28,-19,28,20,-20,28,-24,18,-25,21,-18,-18,18,-30,-17,-21,19,15,26,28,22,{"$f":"(-1)*SIGN(CC610)*SIGN(CC612)*RANDBETWEEN(15,30)","v":-26},22,-22]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,{"$f":"CB615+1","v":54},55,56]
[null,{"$f":"IF(T616<>\"\",1,0)","v":0},null,null,{"$f":"\"(\"&HLOOKUP(ID,$AA$615:$CE$678,60)&\"; \"&HLOOKUP(ID,$AA$615:$CE$678,61)&\"; \"&HLOOKUP(ID,$AA$615:$CE$678,62)&\"; \"&HLOOKUP(ID,$AA$615:$CE$678,63)&\")\"","v":"(59; 64; 64; 64)"},null,null,null,null,null,null,null,null,null,null,null,null,"E(X)",{"$f":"ROUND(HLOOKUP(ID,$AA$615:$CE$698,68),2)","v":62.75},{"$f":"IF(Aufgaben!E548=S616,\"korrekt\",IF(ABS(Aufgaben!E548-S616)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,"SimulationBinomialverteilung",null,null,null,{"$f":"Z615+1","v":1},59,64,61,59,64,62,63,62,61,65,61,62,64,62,61,62,58,61,64,59,61,61,57,61,61,61,60,61,60,63,65,65,59,64,59,61,61,63,62,63,60,61,63,64,61,58,56,64,61,62,63,59,60,61,{"$f":"50+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)","v":63},63,60]
[null,{"$f":"IF(T617<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"V(X)",{"$f":"ROUND(HLOOKUP(ID,$AA$615:$CE$698,74),2)","v":4.6900000000000004},{"$f":"IF(Aufgaben!E549=S617,\"korrekt\",IF(ABS(Aufgaben!E549-S617)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,null,{"$f":"Z616+1","v":2},65,63,60,61,63,62,63,63,63,60,63,61,60,60,61,62,60,63,62,59,65,63,61,56,60,62,64,62,58,63,61,60,60,64,61,59,60,62,60,65,62,62,56,62,63,57,58,61,61,62,60,62,63,64,59,60,62]
[null,{"$f":"IF(T618<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sigma(X)",{"$f":"ROUND(HLOOKUP(ID,$AA$615:$CE$698,81),2)","v":2.17},{"$f":"IF(Aufgaben!E550=S618,\"korrekt\",IF(ABS(Aufgaben!E550-S618)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,null,3,61,62,59,61,59,60,64,63,61,61,61,60,62,62,61,65,63,61,61,62,61,63,60,63,63,58,59,60,65,63,63,60,59,61,61,61,58,61,62,64,61,62,64,61,63,60,62,63,62,58,60,67,63,64,59,62,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,59,57,58,66,66,59,65,62,64,59,61,66,62,63,61,59,61,61,62,63,60,58,60,61,66,63,65,61,63,64,62,62,60,59,62,62,61,62,62,63,61,64,57,61,62,63,61,62,61,62,63,58,61,67,61,66,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,63,63,65,57,64,64,63,62,62,61,61,61,65,60,59,57,61,64,62,59,64,60,64,59,63,60,58,64,63,62,62,62,60,63,62,59,63,57,62,61,64,60,63,61,62,62,62,61,60,60,59,61,61,59,61,61,63]
[null,{"$f":"IF(T621<>\"\",1,0)","v":0},null,null,"Grundgesamtheit",null,null,null,null,null,null,null,null,null,null,null,null,"E(X)",{"$f":"ROUND(HLOOKUP(ID,$AA$615:$CE$698,70),2)","v":61.68},{"$f":"IF(Aufgaben!E553=S621,\"korrekt\",IF(ABS(Aufgaben!E553-S621)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,null,6,60,60,64,67,62,59,62,63,62,61,63,61,61,62,60,60,59,58,58,65,65,63,59,63,61,62,61,61,58,63,62,60,62,62,61,62,60,63,62,62,61,62,60,65,58,59,59,64,63,61,63,60,59,61,59,60,61]
[null,{"$f":"IF(T622<>\"\",1,0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"V(X)",{"$f":"ROUND(HLOOKUP(ID,$AA$615:$CE$698,76),2)","v":5.04},{"$f":"IF(Aufgaben!E554=S622,\"korrekt\",IF(ABS(Aufgaben!E554-S622)<=0.001,\"Runden überprüfen (drei Nachkommastellen)!\",\"\"))","v":""},null,null,null,null,null,7,63,64,60,59,61,60,60,60,59,57,64,61,61,61,58,63,64,61,59,58,61,62,60,63,60,58,62,64,59,57,62,60,58,61,60,61,59,58,57,58,63,63,64,63,60,58,64,63,67,61,57,61,62,63,61,62,63]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,61,59,66,60,59,62,61,62,62,61,58,59,62,62,61,63,62,63,58,61,60,62,63,59,62,62,62,63,63,58,63,60,62,59,58,60,61,60,62,63,65,62,62,63,61,60,60,58,60,63,64,65,59,59,60,59,65]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,66,64,64,64,56,60,61,61,63,62,60,60,59,59,61,58,61,66,60,60,58,61,61,64,59,64,60,64,61,58,55,65,59,65,60,59,62,63,63,61,58,62,62,59,66,59,60,65,62,61,61,62,64,61,60,59,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,64,62,61,64,64,61,63,62,63,63,62,61,60,61,62,58,63,58,61,59,58,61,59,58,60,63,61,63,62,62,62,59,59,63,61,66,60,62,66,66,63,66,62,58,59,57,63,64,63,63,61,59,62,62,59,59,58]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,64,59,65,57,63,61,61,63,59,65,58,60,61,62,61,61,63,61,61,59,61,60,61,59,64,59,60,67,57,64,62,60,62,61,61,63,65,61,61,65,61,61,62,62,65,64,63,62,64,62,61,60,54,64,{"$f":"50+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)","v":59},62,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,60,63,62,59,63,58,59,62,63,62,59,65,61,61,64,61,62,59,62,63,60,63,60,60,58,61,65,59,60,60,61,59,63,62,63,63,65,60,62,62,60,63,64,63,61,64,63,64,65,64,65,63,59,61,62,62,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,63,64,61,63,62,61,61,61,61,55,60,59,59,60,63,59,61,65,60,62,57,65,64,63,63,64,66,59,63,60,62,60,60,62,59,58,66,60,58,61,67,59,61,59,61,63,60,62,64,65,65,63,60,62,63,61,63]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,58,60,60,60,60,65,64,62,57,59,60,61,63,64,59,63,63,64,61,58,60,60,65,62,59,65,63,65,62,58,60,64,63,64,61,62,59,64,60,62,63,62,60,60,63,62,65,62,58,63,62,66,64,60,64,62,63]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,60,61,60,62,62,62,62,62,61,63,63,63,64,64,63,61,62,61,58,65,60,62,60,61,59,64,66,63,60,65,64,61,64,62,60,65,64,61,59,60,59,57,63,60,63,62,64,61,61,64,60,59,60,63,63,60,59]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,60,58,63,64,64,62,60,65,60,62,61,63,60,63,65,60,62,57,64,56,60,61,64,62,60,63,61,64,58,64,63,61,57,62,64,59,60,62,63,62,65,59,58,60,61,63,65,62,61,62,66,63,63,57,63,60,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,61,62,63,61,62,61,61,59,64,61,59,63,59,61,60,62,65,60,60,61,61,63,61,61,60,61,65,59,61,60,63,57,61,63,56,64,64,61,66,59,66,63,57,59,61,60,60,62,62,62,63,58,63,63,64,62,59]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,62,58,59,65,57,62,59,63,61,63,62,60,59,60,60,64,60,60,63,62,64,64,63,65,57,59,63,61,58,64,60,61,61,62,62,62,63,60,60,63,66,60,61,62,62,61,64,56,60,62,61,63,61,58,65,62,64]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,59,60,62,63,62,60,64,64,64,62,62,63,60,60,61,64,60,64,63,58,62,62,61,61,60,63,64,62,58,59,60,60,60,57,62,62,64,63,62,61,63,60,59,60,59,58,61,60,63,63,58,63,59,62,60,61,63]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,62,60,64,63,60,61,66,60,61,60,61,64,63,63,59,63,61,60,61,63,60,58,60,61,61,59,61,59,61,63,60,61,62,59,64,62,64,60,62,64,62,60,63,61,62,58,58,64,61,66,60,63,62,62,62,63,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,63,64,61,63,60,65,60,61,62,61,62,61,61,62,62,58,59,61,62,61,60,60,59,64,59,62,63,59,63,62,59,62,58,61,57,61,59,59,61,58,63,61,63,59,64,60,62,60,58,61,58,59,59,57,{"$f":"50+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)","v":60},61,64]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,66,64,63,62,60,64,61,59,61,68,61,61,61,63,59,61,63,60,61,65,62,61,60,60,61,58,64,61,63,61,63,62,62,64,61,61,60,59,59,63,64,60,61,63,62,59,61,64,62,58,63,61,63,63,63,60,57]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,63,61,60,55,60,64,61,60,61,63,61,59,65,59,60,62,58,60,60,63,57,62,61,60,61,65,64,61,59,62,62,62,64,61,62,65,60,60,63,63,63,61,62,63,62,58,61,61,61,58,68,60,60,59,61,64,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,59,62,62,62,61,59,61,61,58,61,61,61,61,62,60,60,64,60,63,62,62,60,63,62,64,61,60,60,60,58,61,59,63,62,58,65,59,61,62,68,60,62,57,58,63,59,59,64,61,62,62,56,60,60,64,60,63]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,61,56,64,64,60,60,59,59,61,58,58,60,62,63,63,57,60,60,57,62,63,57,58,61,62,62,60,62,59,61,62,67,60,56,56,64,63,61,63,62,63,61,63,60,66,61,65,62,60,61,59,61,59,61,63,59,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,64,62,63,61,63,60,60,59,59,65,59,64,61,59,66,63,65,61,62,63,61,61,62,62,64,63,60,59,62,62,57,59,60,60,60,59,62,62,58,60,62,64,61,64,60,61,61,60,63,61,64,61,62,62,61,61,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,61,62,63,61,61,63,60,60,61,62,59,64,64,63,60,63,62,61,61,60,61,64,62,59,59,59,65,59,61,66,60,62,62,60,61,60,61,65,58,64,60,60,63,60,59,58,60,63,61,62,62,61,62,59,61,65,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,60,63,64,65,57,60,60,57,65,64,59,61,61,62,60,61,63,60,63,66,61,60,61,67,62,61,62,65,61,61,61,61,61,59,61,61,59,65,60,61,64,63,62,62,60,57,61,59,59,60,63,64,58,58,61,61,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,60,63,61,62,62,61,62,64,60,64,62,63,62,65,60,61,60,59,61,64,60,61,60,60,63,61,60,62,63,62,64,62,62,60,60,63,57,64,59,62,60,63,63,63,63,63,62,60,60,61,63,64,64,65,59,63,63]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,61,62,62,60,65,62,60,63,63,58,58,59,62,60,64,64,61,60,58,58,63,63,63,60,60,62,60,63,63,65,63,64,62,63,61,62,65,59,64,62,62,66,64,60,60,60,62,62,61,55,62,64,63,58,59,62,64]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,62,60,61,62,61,58,60,61,61,60,65,61,58,63,65,64,66,63,59,58,61,63,66,63,62,60,65,61,63,63,61,59,60,59,64,65,61,59,59,62,63,61,64,63,64,62,61,60,61,64,64,58,61,62,{"$f":"50+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)","v":62},63,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,62,64,59,62,59,65,63,62,63,61,65,60,62,60,61,61,62,66,62,62,63,64,63,59,63,61,63,65,62,62,62,62,62,60,60,58,61,59,65,62,61,60,63,55,60,62,56,61,58,61,58,60,62,61,64,61,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33,63,60,60,59,56,63,62,63,65,65,66,60,62,63,61,62,62,61,63,64,61,64,65,61,62,64,58,60,62,58,60,62,59,60,61,61,61,60,58,60,63,57,60,62,62,62,61,62,63,64,60,62,57,61,63,61,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34,62,65,63,63,65,60,63,61,60,62,61,63,61,62,59,61,62,61,65,62,63,60,60,64,62,63,60,64,63,61,62,61,62,59,59,63,61,60,63,59,65,60,60,58,65,62,64,62,62,60,61,61,62,60,63,63,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,63,63,61,58,62,59,62,62,61,63,60,65,61,59,62,58,59,65,59,60,60,63,62,59,59,63,61,62,60,64,66,63,59,59,57,63,59,62,65,63,60,65,60,59,59,61,60,61,60,60,64,61,64,62,63,59,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,66,65,61,60,62,60,62,60,60,59,61,56,62,64,62,61,63,60,66,61,60,62,60,57,61,59,61,59,64,60,65,58,61,61,64,66,63,60,60,61,62,61,61,63,63,58,60,61,62,62,59,66,61,65,65,59,62]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,64,61,63,60,62,62,58,58,58,61,61,62,61,58,61,62,65,60,63,64,64,60,59,60,62,59,59,62,62,64,59,59,65,62,61,64,66,63,62,59,61,60,62,60,57,64,65,61,60,58,61,60,59,65,64,64,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,58,57,60,63,63,60,62,62,60,61,61,59,62,67,60,62,58,60,60,62,61,59,63,59,64,62,63,64,62,61,65,64,65,62,64,60,59,61,58,61,64,64,60,61,62,60,58,59,61,63,62,60,59,62,59,60,64]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39,64,64,58,57,60,61,64,64,63,63,59,59,59,62,67,65,57,60,59,60,62,60,61,64,66,62,60,66,64,64,62,61,59,58,58,63,58,60,62,61,62,61,58,63,65,65,64,62,63,58,64,58,60,60,65,62,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40,58,63,58,61,64,59,60,65,59,64,63,63,63,60,66,63,63,62,61,60,62,62,63,59,63,64,62,62,60,59,57,63,63,60,56,63,59,63,61,61,59,60,59,63,61,57,58,63,65,64,64,59,64,60,62,66,58]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,41,61,65,57,58,62,64,65,64,62,59,61,64,59,59,59,61,59,61,60,63,63,58,63,66,64,63,65,63,63,57,65,62,61,62,61,60,64,62,59,62,64,59,56,61,64,58,61,63,60,64,64,63,58,58,{"$f":"50+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)+IF(RAND()<p,1,0)","v":60},62,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,42,60,61,62,60,59,63,62,64,60,60,62,59,61,61,65,59,61,59,59,62,64,61,59,64,62,66,64,60,60,62,61,62,61,63,60,60,62,65,57,59,66,60,59,61,60,59,63,60,61,59,57,60,65,64,61,64,59]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,43,57,61,61,63,62,61,65,61,61,62,57,59,60,61,60,60,60,64,66,59,62,61,63,61,60,60,62,63,61,62,66,62,61,62,62,64,64,61,61,61,57,60,59,65,64,60,61,62,59,61,64,59,60,62,62,63,63]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,44,64,61,61,61,60,62,63,63,59,61,62,64,63,56,63,61,64,59,63,65,58,62,63,60,64,66,62,56,63,63,60,62,62,62,61,60,58,59,63,63,64,61,59,60,60,61,61,63,62,63,61,64,60,58,58,62,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,45,62,62,66,62,59,61,61,63,61,60,62,63,60,62,58,64,59,65,63,59,60,60,61,63,56,61,59,61,59,64,62,64,61,63,66,58,62,65,61,63,63,60,62,63,63,65,62,64,66,64,63,58,61,59,63,59,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46,63,61,62,60,61,60,63,61,61,66,62,60,65,63,60,65,60,61,64,62,62,64,64,59,61,64,60,64,63,62,60,58,64,60,58,59,64,60,62,61,58,61,61,60,61,62,65,62,60,65,58,64,61,61,63,63,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47,59,58,61,59,59,57,62,55,64,60,62,64,64,60,63,57,65,62,64,62,60,60,61,61,60,63,61,59,63,62,60,63,64,62,62,63,62,63,60,64,63,62,60,62,57,63,65,59,60,62,65,61,64,60,61,62,59]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,48,65,64,62,64,60,60,61,65,59,58,57,61,63,64,62,63,61,58,59,60,65,62,63,59,61,64,63,64,62,63,60,60,58,62,64,62,60,60,58,61,64,61,63,63,61,63,61,60,60,62,62,63,62,64,59,64,58]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,49,62,64,63,61,61,62,59,64,63,60,60,60,63,60,62,62,61,61,62,62,63,61,61,59,58,60,61,58,62,63,59,60,63,63,58,60,59,58,66,60,61,60,65,61,62,59,63,63,61,62,64,61,66,62,62,62,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50,61,62,63,62,62,61,60,59,65,61,63,59,61,60,59,60,61,64,65,60,59,60,63,61,62,63,60,59,61,65,64,63,65,61,61,60,57,62,60,63,62,60,62,61,62,58,59,62,61,64,62,63,61,60,61,62,61]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ZZ",5,33,37,9,37,14,17,5,41,7,13,3,34,44,49,22,26,17,3,44,31,49,29,30,5,28,23,43,32,2,20,20,38,7,30,26,36,29,27,43,44,32,13,43,36,38,44,36,2,8,49,16,15,11,{"$f":"RANDBETWEEN(2,50)","v":17},22,48]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ZZ",27,6,7,39,44,28,26,29,14,49,30,8,34,3,15,4,48,36,41,10,12,48,23,29,7,4,2,50,37,26,3,8,22,29,37,38,19,45,27,6,7,25,21,33,34,14,42,34,39,7,24,9,9,4,43,3,26]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ZZ",40,31,24,15,18,34,18,19,9,42,6,16,32,26,4,12,11,9,34,7,49,41,4,16,41,8,19,23,39,12,5,48,23,13,21,43,10,42,33,9,44,21,47,43,3,44,36,40,46,25,30,27,28,31,42,15,16]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ZZ",45,42,40,22,16,48,39,40,45,11,31,46,24,8,23,34,45,41,8,14,34,18,11,16,8,24,32,20,47,11,14,41,5,13,40,46,2,3,6,32,12,38,34,36,4,12,2,34,48,3,29,5,18,13,2,36,41]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ZZ",43,4,2,48,26,43,19,5,38,44,13,33,25,30,38,20,14,4,39,10,3,49,33,46,42,32,26,37,49,44,34,35,24,23,46,23,44,25,17,2,20,42,12,47,35,5,11,43,3,18,5,41,38,37,13,22,42]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stichproben mit zurücklegen",null,null,"Zeile",60,59,62,66,61,66,63,60,59,58,60,60,65,63,57,65,63,61,60,65,57,61,65,60,60,59,61,66,60,62,59,59,59,64,60,60,61,63,60,64,60,57,62,60,60,63,64,57,63,59,63,65,60,58,64,{"$f":"HLOOKUP(ID,$AA$615:$CE$665,CC669)","v":60},63,59]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stichpr",64,63,60,58,57,61,61,60,63,65,60,63,63,65,58,61,59,63,58,66,64,59,66,60,60,61,59,62,66,61,65,63,63,60,66,64,62,64,64,63,60,59,62,62,63,63,61,63,58,60,63,61,61,61,{"$f":"HLOOKUP(ID,$AA$615:$CE$665,CC670)","v":60},65,61]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stichpr",64,61,63,58,61,63,61,62,61,61,63,60,62,61,61,64,64,61,63,60,65,58,61,60,58,63,62,66,58,64,59,59,66,60,62,60,66,61,62,61,57,62,63,60,65,57,63,64,62,59,60,64,61,61,{"$f":"HLOOKUP(ID,$AA$615:$CE$665,CC671)","v":61},58,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stichpr",64,61,64,63,60,59,58,64,64,64,61,62,63,63,66,63,64,58,63,63,63,61,64,60,63,63,62,59,63,64,63,58,59,60,64,62,59,65,63,62,64,64,63,63,61,64,59,63,59,65,60,59,61,60,{"$f":"HLOOKUP(ID,$AA$615:$CE$665,CC672)","v":59},63,58]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stichpr",60,61,59,59,61,60,62,59,64,57,60,62,59,60,64,59,63,61,58,66,65,65,62,62,61,62,61,66,65,57,63,62,63,66,62,66,57,59,60,59,59,61,64,63,62,59,64,60,65,61,59,58,64,66,{"$f":"HLOOKUP(ID,$AA$615:$CE$665,CC673)","v":60},63,61]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erwartungswert zu 2",null,null,"Zeile",66,61.5,62.5,63,59.5,61.5,62,60.5,59.5,60.5,62.5,60,64,63,61,61.5,62,60,61.5,61.5,61.5,62.5,62,63,60,59.5,61,62.5,61,64,60,62,61,63.5,60,63,62.5,62.5,62,64,61.5,58.5,60.5,61,61,63,63.5,59,63,58.5,61.5,64,60.5,59.5,62.5,{"$f":"AVERAGE(CC674:CC675)","v":60},64,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erwartungswert zu 3",null,null,null,{"$f":"Z680+1","v":67},62.333333333333336,62,63,59,61.333333333333336,62.333333333333336,60.666666666666664,60.333333333333336,60.666666666666664,62,61,62.666666666666664,62.666666666666664,61,61.333333333333336,62.666666666666664,61.333333333333336,61.333333333333336,62,61,63.333333333333336,60.666666666666664,62.333333333333336,60,59,61.666666666666664,62.333333333333336,62.666666666666664,62,61.333333333333336,61,60.333333333333336,64.333333333333329,60,62.666666666666664,61.666666666666664,63.666666666666664,61.666666666666664,63.333333333333336,61.333333333333336,58,61,61.666666666666664,60.666666666666664,63.666666666666664,61.333333333333336,60.333333333333336,63.333333333333336,59.666666666666664,60.666666666666664,62.666666666666664,61.666666666666664,60,62,{"$f":"AVERAGE(CC674:CC676)","v":60.333333333333336},62,60]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erwartungswert zu 4",null,null,null,{"$f":"Z681+1","v":68},62.75,61.75,63.25,60,61,61.5,60,61.25,61.5,62.5,61,62.5,62.75,61.5,62.5,62.75,62,60.5,62.25,61.5,63.25,60.75,62.75,60,60,62,62.25,61.75,62.25,62,61.5,59.75,63,60,63,61.75,62.5,62.5,63.25,61.5,59.5,61.75,62,61.25,63,62,60,63.25,59.5,61.75,62,61,60.25,61.5,{"$f":"AVERAGE(CC674:CC677)","v":60},62.25,59.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Erwartungswert zu 5",null,null,null,69,62.2,61.6,62.4,59.8,61,61.2,60.4,60.8,62,61.4,60.8,62.4,62,61.2,62.8,62,62.2,60.6,61.4,62.4,63.6,61.6,62.6,60.4,60.2,62,62,62.6,62.8,61,61.8,60.2,63,61.2,62.8,62.6,61.4,61.8,62.6,61,59.4,61.6,62.4,61.6,62.8,61.4,60.8,62.6,60.6,61.6,61.4,60.4,61,62.4,{"$f":"AVERAGE(CC674:CC678)","v":60},62.4,59.8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"E von allen",null,null,null,70,61.68,61.66,61.64,61.3,61.22,61.16,61.66,61.62,61.34,61.44,60.98,61.34,61.5,61.44,61.38,61.32,61.48,61.22,61.4,61.26,61.22,61.34,61.5,61.1,61.26,61.84,61.86,61.68,61.26,61.78,61.6,61.3,61.2,61.22,60.62,61.66,61.28,61.2,61.16,61.88,62.26,61.24,61.06,61.18,61.68,60.5,61.4,61.7,61.4,61.7,61.86,61.34,61.12,61.22,{"$f":"AVERAGE((CC616:CC665))","v":61.58},61.66,61.34]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,71]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U686*2","v":7.3245614035087723},{"$f":"AVERAGE(AA686:CE686)","v":3.6622807017543861},"Varianz von 2",null,null,null,72,6.25,0.25,9,2.25,20.25,1,0.25,0.25,6.25,6.25,0,1,0,16,12.25,1,1,2.25,12.25,20.25,2.25,9,9,0,0.25,0,12.25,1,4,1,9,4,0.25,0,9,2.25,0.25,4,0,2.25,2.25,2.25,1,1,0,0.25,4,0,0.25,2.25,1,0.25,2.25,2.25,{"$f":"_xlfn.VAR.P((CC674:CC675))","v":0},1,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U687*3/2","v":5.9239766081871323},{"$f":"AVERAGE(AA687:CE687)","v":3.9493177387914216},"Varianz von 3",null,null,null,73,5.5555555555555545,0.66666666666666663,6,2,13.555555555555557,0.88888888888888895,0.22222222222222224,1.5555555555555554,4.2222222222222223,4.666666666666667,2,4.2222222222222223,0.22222222222222224,10.666666666666666,8.2222222222222232,1.5555555555555554,4.2222222222222223,1.5555555555555554,8.6666666666666661,14,2.8888888888888888,9.5555555555555571,6.8888888888888893,0,0.66666666666666663,0.88888888888888895,8.2222222222222232,6.2222222222222214,10.666666666666666,4.2222222222222223,8,3.5555555555555554,1.5555555555555556,0,6.2222222222222223,2.8888888888888888,2.8888888888888888,2.8888888888888888,0.88888888888888895,1.5555555555555554,2,2,1.5555555555555554,0.88888888888888895,0.88888888888888895,9.5555555555555554,6.2222222222222214,0.22222222222222224,2.8888888888888888,2.8888888888888888,4.2222222222222223,2.8888888888888888,2,2,{"$f":"_xlfn.VAR.P((CC674:CC676))","v":0.22222222222222224},8.6666666666666661,0.66666666666666663]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U688*5/3","v":6.8457602339181287},{"$f":"AVERAGE(AA688:CE688)","v":4.1074561403508776},"Varianz von 4",null,null,null,74,4.6875,0.6875,4.6875,4.5,10.5,2.75,1.5,3.6875,5.25,4.25,1.5,3.25,0.1875,8.75,10.25,1.1875,4.5,3.25,6.6875,11.25,2.1875,7.1875,5.6875,0,3.5,1,6.1875,7.1875,8.1875,4.5,6.75,3.6875,6.5,0,5,2.1875,6.25,4.25,0.6875,1.25,8.25,3.1875,1.5,1.6875,2,8.5,5,0.1875,2.25,5.6875,4.5,3.5,1.6875,2.25,{"$f":"_xlfn.VAR.P((CC674:CC677))","v":0.5},6.6875,1.25]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U689*5/4","v":2.8366158159458998},{"$f":"AVERAGE(AA689:CE689)","v":2.2692926527567199},"Varianz von 5",null,null,null,75,1.6502809327846364,0.43324444444444443,2.4074666666666662,2.2599999999999998,1.7420916323731137,1.284317146776407,1.1749673525377224,2.0171039780521252,1.6348192043895748,4.4471209876543218,0.7638913580246911,1.0984570644718783,1.4626200274348422,1.9216395061728397,4.3266183813443071,1.8290710562414259,2.5162973936899871,1.5266513031550066,3.2072839506172834,4.0883061728395074,1.2510134430727031,3.4038973936899866,1.9500274348422491,0.44543209876543227,1.8278617283950611,0.4566299039780522,1.0450085048010975,4.5020422496570642,4.7584543209876555,3.9602809327846362,2.3832098765432104,2.0632784636488335,3.3515500685871027,3.4501135802469127,1.9692027434842265,2.5512142661179711,5.9304373113854583,2.6708916323731131,1.5815023319615926,1.0264702331961595,4.1510222222222204,1.5743555555555557,0.85024307270233157,0.90167187928669457,1.2050216735253771,4.437887517146776,2.5133607681755827,1.2160356652949242,4.1596982167352543,2.4026611796982174,2.3311648834019199,2.5203500685871054,1.4250024691358025,2.5835950617283956,{"$f":"_xlfn.VAR.P((CC675:CC685))","v":0.46675006858710522},3.3467506172839503,0.89334320987654414]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AVERAGE(AA690:CE690)","v":4.4725241675617617},"Varianz von allen",null,null,null,76,5.0383673469387737,5.1269387755102027,4.3167346938775539,6.0918367346938789,5.0322448979591785,3.4840816326530599,3.3310204081632637,4.4036734693877557,3.657551020408162,5.8840816326530643,3.9383673469387777,4.2697959183673451,2.9489795918367347,3.8840816326530629,4.6485714285714286,4.6710204081632636,4.377142857142859,4.6240816326530565,4.7346938775510212,5.1759183673469424,3.8485714285714248,3.167755102040815,3.806122448979592,5.112244897959183,4.6044897959183695,4.3412244897959171,4.6126530612244867,5.4465306122448967,3.6657142857142881,5.1138775510204013,5.1020408163265305,4.010204081632657,3.9183673469387754,3.6036734693877501,5.1791836734693879,4.6371428571428561,5.7159183673469327,3.7959183673469372,5.4024489795918349,3.9036734693877562,4.9310204081632669,3.6146938775510216,5.1595918367346982,3.9873469387755094,4.4261224489795916,5.1938775510204085,5.3877551020408179,3.2346938775510234,3.6734693877551021,4.7040816326530646,5.9187755102040809,5.7391836734693893,5.0873469387755099,5.2363265306122377,{"$f":"VARA((CC616:CC665))","v":3.595510204081632},3.2085714285714269,3.2085714285714273]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,77]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,78]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"StAbw",null,null,null,79,2.5,0.5,3,1.5,4.5,1,0.5,0.5,2.5,2.5,0,1,0,4,3.5,1,1,1.5,3.5,4.5,1.5,3,3,0,0.5,0,3.5,1,2,1,3,2,0.5,0,3,1.5,0.5,2,0,1.5,1.5,1.5,1,1,0,0.5,2,0,0.5,1.5,1,0.5,1.5,1.5,{"$f":"CC686^0.5","v":0},1,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,80,2.3570226039551581,0.81649658092772603,2.4494897427831779,1.4142135623730951,3.6817870057290873,0.94280904158206336,0.47140452079103168,1.247219128924647,2.0548046676563256,2.1602468994692869,1.4142135623730951,2.0548046676563256,0.47140452079103168,3.2659863237109041,2.8674417556808756,1.247219128924647,2.0548046676563256,1.247219128924647,2.9439202887759488,3.7416573867739413,1.699673171197595,3.0912061651652349,2.6246692913372702,0,0.81649658092772603,0.94280904158206336,2.8674417556808756,2.4944382578492941,3.2659863237109041,2.0548046676563256,2.8284271247461903,1.8856180831641267,1.247219128924647,0,2.4944382578492941,1.699673171197595,1.699673171197595,1.699673171197595,0.94280904158206336,1.247219128924647,1.4142135623730951,1.4142135623730951,1.247219128924647,0.94280904158206336,0.94280904158206336,3.0912061651652345,2.4944382578492941,0.47140452079103168,1.699673171197595,1.699673171197595,2.0548046676563256,1.699673171197595,1.4142135623730951,1.4142135623730951,{"$f":"CC687^0.5","v":0.47140452079103168},2.9439202887759488,0.81649658092772603]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,81,2.1650635094610968,0.82915619758884995,2.1650635094610968,2.1213203435596424,3.2403703492039302,1.6583123951776999,1.2247448713915889,1.920286436967152,2.2912878474779199,2.0615528128088303,1.2247448713915889,1.8027756377319946,0.4330127018922193,2.9580398915498081,3.2015621187164243,1.0897247358851685,2.1213203435596424,1.8027756377319946,2.5860201081971503,3.3541019662496847,1.479019945774904,2.6809513236909019,2.384848003542364,0,1.8708286933869707,1,2.4874685927665499,2.6809513236909019,2.8613807855648994,2.1213203435596424,2.598076211353316,1.920286436967152,2.5495097567963922,0,2.2360679774997898,1.479019945774904,2.5,2.0615528128088303,0.82915619758884995,1.1180339887498949,2.8722813232690143,1.7853571071357126,1.2247448713915889,1.299038105676658,1.4142135623730951,2.9154759474226504,2.2360679774997898,0.4330127018922193,1.5,2.384848003542364,2.1213203435596424,1.8708286933869707,1.299038105676658,1.5,{"$f":"CC688^0.5","v":0.70710678118654757},2.5860201081971503,1.1180339887498949]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,82,1.2846326061503486,0.6582130691838658,1.551601323364564,1.5033296378372907,1.3198831889122287,1.1332771712058824,1.0839591101779267,1.4202478579642799,1.2786004866218279,2.1088198091952575,0.87400878601115395,1.0480730243985283,1.2093882864633849,1.3862321256459322,2.0800524948530281,1.3524315347704023,1.5862841465796684,1.2355773157334213,1.790889150845826,2.021956026435666,1.1184871224438406,1.8449654180200741,1.3964338275916439,0.66740699634138712,1.3519843669196256,0.67574396333082565,1.0222565748387717,2.1218016518178753,2.1813881637589527,1.9900454599794037,1.5437648384851919,1.436411662319975,1.8307239192699436,1.8574481366237154,1.4032828451471309,1.5972520984860126,2.4352489218528479,1.6342862761380312,1.2575779625779042,1.0131486727998806,2.0374057578750042,1.2547332607194071,0.92208626098772972,0.94956404696402363,1.0977347919809124,2.106629420934488,1.5853582460048525,1.1027400715014053,2.0395338233859359,1.5500519925790288,1.5268152748128765,1.5875610440506234,1.1937346728380651,1.6073565446808606,{"$f":"CC689^0.5","v":0.68319109229197739},1.8294126427036494,0.94516835001842092]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,83,2.2446307818745543,2.2642744479214976,2.0776753100226113,2.4681646490244282,2.2432665686358315,1.8665694824069796,1.8251083277885902,2.0984931425639104,1.9124724887977245,2.4257126030618434,1.9845320221500025,2.066348450375044,1.7172593257387583,1.9708073555406329,2.1560545977714547,2.1612543598945644,2.0921622444597499,2.1503677900891875,2.1759351731039738,2.2750644754263432,1.9617776195510603,1.7798188396690307,1.950928611963952,2.2610273987634875,2.1458074927444843,2.0835605318290891,2.1477087933945995,2.3337803264756727,1.9146055169967229,2.2613884122415593,2.2587697572631282,2.0025493955537419,1.979486637221574,1.8983343934585788,2.275781991639223,2.1534026230927776,2.3907986881682306,1.9483116709979791,2.324316884504313,1.9757716136709111,2.2205901035903199,1.9012348296701862,2.2714734946141673,1.9968342291676366,2.1038351762862963,2.279008019077688,2.3211538298959891,1.7985254731448825,1.9166296949998198,2.1688894929555689,2.4328533680031112,2.3956593400292516,2.255514783541777,2.2883021064999784,{"$f":"CC690^0.5","v":1.896183061859174},1.7912485669419045,1.7912485669419047]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Binomialverteilung"]
[1,null,null,null,{"$f":"\"Aufgabe \"&A747","v":"Aufgabe 1"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,{"$f":"CB748+1","v":54},{"$f":"CC748+1","v":55},{"$f":"CD748+1","v":56}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n",100,200,200,400,500,500,400,300,300,400,300,300,200,500,300,100,400,100,300,300,300,300,300,100,500,300,300,500,300,300,400,100,400,300,400,200,100,300,100,500,200,200,100,100,200,500,300,200,200,500,500,100,500,300,{"$f":"RANDBETWEEN(1,5)*100","v":400},400,200]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(A)",0.01,0.01,0.01,0.02,1.2500000000000001E-2,1.4999999999999999E-2,1.7500000000000002E-2,7.4999999999999997E-3,1.2500000000000001E-2,0.02,0.02,7.4999999999999997E-3,2.2499999999999999E-2,1.4999999999999999E-2,1.4999999999999999E-2,2.2499999999999999E-2,1.4999999999999999E-2,2.2499999999999999E-2,1.2500000000000001E-2,2.2499999999999999E-2,2.5000000000000001E-2,5.0000000000000001E-3,2.5000000000000001E-2,5.0000000000000001E-3,5.0000000000000001E-3,7.4999999999999997E-3,1.7500000000000002E-2,7.4999999999999997E-3,2.2499999999999999E-2,1.2500000000000001E-2,1.7500000000000002E-2,2.5000000000000001E-2,2.5000000000000001E-2,0.01,1.4999999999999999E-2,2.2499999999999999E-2,5.0000000000000001E-3,2.5000000000000001E-2,0.01,2.5000000000000001E-2,0.01,1.4999999999999999E-2,2.5000000000000001E-2,5.0000000000000001E-3,1.7500000000000002E-2,2.2499999999999999E-2,0.01,2.5000000000000001E-2,2.5000000000000001E-2,5.0000000000000001E-3,7.4999999999999997E-3,2.5000000000000001E-2,5.0000000000000001E-3,2.5000000000000001E-2,{"$f":"RANDBETWEEN(2,10)*1/400","v":0.01},7.4999999999999997E-3,0.01]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PA(B)",3.2500000000000001E-2,2.75E-2,2.75E-2,0.05,3.7500000000000006E-2,1.4999999999999999E-2,4.2500000000000003E-2,0.01,3.7500000000000006E-2,2.5000000000000001E-2,3.2500000000000001E-2,3.7500000000000006E-2,3.2500000000000001E-2,0.04,2.5000000000000001E-2,2.2500000000000003E-2,4.7500000000000001E-2,3.2500000000000001E-2,1.2500000000000001E-2,3.2500000000000001E-2,1.2500000000000001E-2,3.2500000000000001E-2,0.04,0.02,1.4999999999999999E-2,3.2500000000000001E-2,3.2500000000000001E-2,4.4999999999999998E-2,1.2500000000000001E-2,0.04,1.7500000000000002E-2,2.2499999999999999E-2,0.03,0.04,2.5000000000000001E-2,3.5000000000000003E-2,2.5000000000000001E-2,3.5000000000000003E-2,0.03,0.02,0.03,2.2499999999999999E-2,0.04,4.4999999999999998E-2,4.7500000000000001E-2,4.2499999999999996E-2,0.05,3.0000000000000002E-2,2.2500000000000003E-2,2.2500000000000003E-2,2.5000000000000001E-2,4.4999999999999998E-2,3.5000000000000003E-2,3.0000000000000002E-2,{"$f":"RANDBETWEEN(2,10)*1/400+CC752","v":3.5000000000000003E-2},0.03,1.4999999999999999E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Paquer(B)",1.2500000000000001E-2,1.4999999999999999E-2,2.2499999999999999E-2,2.5000000000000001E-2,1.2500000000000001E-2,5.0000000000000001E-3,1.7500000000000002E-2,5.0000000000000001E-3,1.7500000000000002E-2,1.4999999999999999E-2,2.2499999999999999E-2,0.02,1.4999999999999999E-2,2.5000000000000001E-2,1.4999999999999999E-2,5.0000000000000001E-3,2.5000000000000001E-2,7.4999999999999997E-3,7.4999999999999997E-3,7.4999999999999997E-3,7.4999999999999997E-3,2.5000000000000001E-2,1.7500000000000002E-2,0.01,0.01,7.4999999999999997E-3,2.2499999999999999E-2,2.2499999999999999E-2,7.4999999999999997E-3,0.02,5.0000000000000001E-3,0.01,0.01,1.7500000000000002E-2,1.4999999999999999E-2,1.7500000000000002E-2,5.0000000000000001E-3,0.02,7.4999999999999997E-3,7.4999999999999997E-3,0.02,1.4999999999999999E-2,0.02,2.5000000000000001E-2,2.2499999999999999E-2,2.2499999999999999E-2,2.5000000000000001E-2,2.5000000000000001E-2,5.0000000000000001E-3,1.7500000000000002E-2,1.4999999999999999E-2,2.5000000000000001E-2,2.2499999999999999E-2,1.7500000000000002E-2,{"$f":"RANDBETWEEN(2,10)*1/400","v":2.5000000000000001E-2},0.01,0.01]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"k1",1,2,2,8,6,7,7,2,4,8,6,2,5,8,4,2,6,2,4,7,8,1,7,1,3,2,5,4,7,4,7,2,10,3,6,4,1,7,1,13,2,3,2,0,4,11,3,5,5,3,4,3,2,8,{"$f":"ROUND((CC749+RANDBETWEEN(-14,5))*CC750,0)","v":4},3,{"$f":"ROUND((CE749+RANDBETWEEN(-14,5))*CE750,0)","v":2}]
[]
[null,null,"a)","Vervollständige das Baumdiagramm.",null,null,null,"Runde die Ergebnisse auf vier Nachkommastellen."]
[]
[null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$748:$CB$754,4)","v":3.2500000000000001E-2},"B",{"$f":"ROUND(E760*G758,4)","v":2.9999999999999997E-4},null,{"$f":"E760*G758","v":3.2500000000000004E-4}]
[null,{"$f":"IF(G759<>\"\",1,0)+IF(I759<>\"\",1,0)","v":0},null,null,null,null,null,null,{"$f":"IF(I758='mehr Aufgaben'!G6,\"richtig\",IF(ABS(I758-'mehr Aufgaben'!G6)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,{"$f":"HLOOKUP(ID,$AA$748:$CB$754,3)","v":0.01},"A"]
[null,{"$f":"IF(E761<>\"\",1,0)","v":0}]
[null,null,null,null,null,null,{"$f":"1-G758","v":0.96750000000000003},null,{"$f":"ROUND(E760*G762,4)","v":9.7000000000000003E-3},null,{"$f":"E760*G762","v":9.6750000000000013E-3}]
[null,{"$f":"IF(G763<>\"\",1,0)+IF(I763<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(G762='mehr Aufgaben'!E10,\"richtig\",IF(ABS(G762-'mehr Aufgaben'!E10)<0.0001,\"richtig runden!\",\"\"))","v":""},null,{"$f":"IF(I762='mehr Aufgaben'!G10,\"richtig\",IF(ABS(I762-'mehr Aufgaben'!G10)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,null,null,{"$f":"1-G768","v":0.98750000000000004},"B",{"$f":"ROUND(E766*G764,4)","v":0.97760000000000002},null,{"$f":"E766*G764","v":0.97762500000000008}]
[null,{"$f":"IF(G765<>\"\",1,0)+IF(I765<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(G764='mehr Aufgaben'!E12,\"richtig\",IF(ABS(G764-'mehr Aufgaben'!E12)<0.0001,\"richtig runden!\",\"\"))","v":""},null,{"$f":"IF(I764='mehr Aufgaben'!G12,\"richtig\",IF(ABS(I764-'mehr Aufgaben'!G12)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,{"$f":"1-E760","v":0.99}]
[null,{"$f":"IF(E767<>\"\",1,0)","v":0},null,null,{"$f":"IF(E766='mehr Aufgaben'!C14,\"richtig\",IF(ABS(E766-'mehr Aufgaben'!C14)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$748:$CB$754,5)","v":1.2500000000000001E-2},null,{"$f":"ROUND(E766*G768,4)","v":1.24E-2},null,{"$f":"E766*G768","v":1.2375000000000001E-2}]
[null,{"$f":"IF(G769<>\"\",1,0)+IF(I769<>\"\",1,0)","v":0},null,null,null,null,null,null,{"$f":"IF(I768='mehr Aufgaben'!G16,\"richtig\",IF(ABS(I768-'mehr Aufgaben'!G16)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[]
[null,null,null,null,null,null,null,null,"(Ja / Nein)"]
[null,null,"b)","Sind A und B stochastisch unabhängig?",null,null,null,null,{"$f":"IF(G758=G764,\"Ja\",\"Nein\")","v":"Nein"}]
[null,{"$f":"IF(I773<>\"\",1,0)","v":0},null,null,null,null,null,null,{"$f":"IF(I772='mehr Aufgaben'!G20,\"richtig\",\"\")","v":""}]
[null,null,"c)","Erstelle die zugehörige Vierfeldertafel."]
[]
[null,null,null,null,null,null,"B",null,"Summe"]
[null,null,null,null,null,"A",{"$f":"I758","v":2.9999999999999997E-4},{"$f":"I762","v":9.7000000000000003E-3},{"$f":"ROUND(G777+H777,4)","v":0.01}]
[null,null,null,null,null,null,{"$f":"I764","v":0.97760000000000002},{"$f":"I768","v":1.24E-2},{"$f":"ROUND(G778+H778,4)","v":0.99}]
[null,null,null,null,null,"Summe",{"$f":"ROUND(G777+G778,4)","v":0.97789999999999999},{"$f":"ROUND(H777+H778,4)","v":2.2100000000000002E-2},1]
[null,{"$f":"IF(G780<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF((G779-'mehr Aufgaben'!E27)^2+(G778-'mehr Aufgaben'!E26)^2+(G777-'mehr Aufgaben'!E25)^2=0,\"richtig\",IF((G779-'mehr Aufgaben'!E27)^2+(G778-'mehr Aufgaben'!E26)^2+(G777-'mehr Aufgaben'!E25)^2=0<0.0001,\"richtig runden!\",\"\"))","v":""},{"$f":"IF((H779-'mehr Aufgaben'!F27)^2+(H778-'mehr Aufgaben'!F26)^2+(H777-'mehr Aufgaben'!F25)^2=0,\"richtig\",IF((H779-'mehr Aufgaben'!F27)^2+(H778-'mehr Aufgaben'!F26)^2+(H777-'mehr Aufgaben'!F25)^2=0<0.0001,\"richtig runden!\",\"\"))","v":""},{"$f":"IF((I779-'mehr Aufgaben'!G27)^2+(I778-'mehr Aufgaben'!G26)^2+(I777-'mehr Aufgaben'!G25)^2=0,\"richtig\",IF((I779-'mehr Aufgaben'!G27)^2+(I778-'mehr Aufgaben'!G26)^2+(I777-'mehr Aufgaben'!G25)^2=0<0.0001,\"richtig runden!\",\"\"))","v":""}]
[]
[null,null,"d) ","Erstelle den umgedrehten Baum."]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"ROUND(I786/E788,4)","v":2.9999999999999997E-4},"A",{"$f":"I758","v":2.9999999999999997E-4}]
[null,{"$f":"IF(G787<>\"\",1,0)+IF(I787<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(G786='mehr Aufgaben'!E34,\"richtig\",IF(ABS(G786-'mehr Aufgaben'!E34)<0.0001,\"richtig runden!\",\"\"))","v":""},null,{"$f":"IF(I786='mehr Aufgaben'!G34,\"richtig\",IF(ABS(I786-'mehr Aufgaben'!G34)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,{"$f":"G779","v":0.97789999999999999},"B"]
[null,{"$f":"IF(E789<>\"\",1,0)","v":0},null,null,{"$f":"IF(E788='mehr Aufgaben'!C36,\"richtig\",IF(ABS(E788-'mehr Aufgaben'!C36)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,null,null,{"$f":"ROUND(I790/E788,4)","v":0.99970000000000003},null,{"$f":"I764","v":0.97760000000000002}]
[null,{"$f":"IF(G791<>\"\",1,0)+IF(I791<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(G790='mehr Aufgaben'!E38,\"richtig\",IF(ABS(G790-'mehr Aufgaben'!E38)<0.0001,\"richtig runden!\",\"\"))","v":""},null,{"$f":"IF(I790='mehr Aufgaben'!G38,\"richtig\",IF(ABS(I790-'mehr Aufgaben'!G38)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,null,null,{"$f":"ROUND(I792/E794,4)","v":0.43890000000000001},"A",{"$f":"I762","v":9.7000000000000003E-3}]
[null,{"$f":"IF(G793<>\"\",1,0)+IF(I793<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(G792='mehr Aufgaben'!E40,\"richtig\",IF(ABS(G792-'mehr Aufgaben'!E40)<0.0001,\"richtig runden!\",\"\"))","v":""},null,{"$f":"IF(I792='mehr Aufgaben'!G40,\"richtig\",IF(ABS(I792-'mehr Aufgaben'!G40)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,{"$f":"H779","v":2.2100000000000002E-2}]
[null,{"$f":"IF(E795<>\"\",1,0)","v":0},null,null,{"$f":"IF(E794='mehr Aufgaben'!C42,\"richtig\",IF(ABS(E794-'mehr Aufgaben'!C42)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[null,null,null,null,null,null,{"$f":"ROUND(I796/E794,4)","v":0.56110000000000004},null,{"$f":"I768","v":1.24E-2}]
[null,{"$f":"IF(G797<>\"\",1,0)+IF(I797<>\"\",1,0)","v":0},null,null,null,null,{"$f":"IF(G796='mehr Aufgaben'!E44,\"richtig\",IF(ABS(G796-'mehr Aufgaben'!E44)<0.0001,\"richtig runden!\",\"\"))","v":""},null,{"$f":"IF(I796='mehr Aufgaben'!G44,\"richtig\",IF(ABS(I796-'mehr Aufgaben'!G44)<0.0001,\"richtig runden!\",\"\"))","v":""}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[20,"Vektorrechnung"]
[]
[{"$f":"A673+1","v":1},null,null,null,{"$f":"\"Aufgabe \"&A814&\" \"&E815","v":"Aufgabe 1 (Grundlagen in 2D)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(Grundlagen in 2D)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"a",4,-3,-4,-4,4,4,-1,5,-3,5,3,-4,-4,3,0,5,-4,-4,1,-3,1,-5,4,-5,1,-3,1,5,1,1,5,-3,-2,1,2,-1,-3,-1,-4,0,3,-3,2,-4,-2,-5,-4,-5,-1,-5,1,-3,-4,-2,{"$f":"RANDBETWEEN(-5,5)","v":-4},2,-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"a1",3,14,10,-4,-12,11,-14,-4,7,-10,9,-6,5,8,1,-7,-1,4,-13,-1,-11,-15,-11,-10,-5,5,5,0,2,12,5,15,9,4,7,9,-4,-14,-7,-12,-11,14,-6,-7,-14,-8,12,-8,-2,2,13,5,-4,12,{"$f":"RANDBETWEEN(-15,15)","v":-9},0,15]
[null,null,null,null,"Gegeben sind die folgende Punkte:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"a2",-8,12,-10,-1,11,-6,-3,-12,-4,12,-6,2,-1,15,10,1,10,14,-8,-6,-4,-9,0,-11,0,2,0,-13,1,15,-9,-2,6,1,3,-5,8,10,7,-9,11,-7,2,-9,6,-13,2,-15,1,-11,2,-8,-4,-14,-8,-2,0]
[null,null,null,null,{"$f":"\"A(\"&HLOOKUP(ID,$AA$814:$CB$828,3)&\";\"&HLOOKUP(ID,$AA$814:$CB$828,4)&\")\"","v":"A(3;-8)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"a3",-8,-9,-11,-14,-12,-10,12,-15,14,4,5,-6,-5,-15,-15,-9,-7,-14,15,1,-11,1,-2,-1,-6,-9,3,13,-9,2,-6,10,-8,9,-3,4,-6,-7,3,-11,13,-12,15,4,-1,-3,-6,-4,-9,-6,0,12,6,1,13,-1,-13]
[null,null,null,null,{"$f":"\"B(\"&HLOOKUP(ID,$AA$814:$CB$828,7)&\";\"&HLOOKUP(ID,$AA$814:$CB$828,8)&\")\"","v":"B(4;-13)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"b",-2,5,4,2,-1,-3,-5,-1,1,-5,5,3,-2,0,-1,-3,-2,-5,0,-5,-2,-5,-5,5,4,-1,-5,1,5,5,-4,-3,-2,-5,3,1,-3,-3,-5,-3,1,5,2,2,-5,5,-5,-2,-4,-2,-3,-5,4,-2,{"$f":"RANDBETWEEN(-5,5)","v":2},5,1]
[null,null,null,null,{"$f":"\"C(\"&HLOOKUP(ID,$AA$814:$CB$828,10)&\";\"&HLOOKUP(ID,$AA$814:$CB$828,11)&\")\"","v":"C(-6;-6)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,"b1",4,-8,-5,-10,-5,-1,5,-4,-3,0,-10,6,-10,2,9,-11,-12,-5,-7,1,-10,-1,-8,3,2,6,1,-10,-6,-3,2,-4,4,3,4,-7,-9,7,10,-3,3,10,-11,6,-1,-10,11,10,3,12,12,-12,10,-12,{"$f":"RANDBETWEEN(-12,12)","v":2},-8,2]
[null,null,null,null,{"$f":"\"D(\"&HLOOKUP(ID,$AA$814:$CB$828,13)&\";\"&HLOOKUP(ID,$AA$814:$CB$828,14)&\")\"","v":"D(-12;-8)"},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,2)","v":4},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,6)","v":-2},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"b2",-13,2,5,4,3,-11,-2,9,7,-5,0,3,8,7,-4,-4,3,-9,2,11,-3,3,-1,-3,1,7,-10,7,-7,-6,-4,-8,-8,-2,0,-3,8,0,-10,5,1,-3,8,7,-8,9,-2,0,10,-5,4,-3,2,7,{"$f":"RANDBETWEEN(-11,11)","v":6},4,0]
[null,null,null,null,null,"A","B","C","D",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,"b3",11,3,8,-2,3,-10,-3,5,4,-9,-4,6,-10,8,-7,2,7,1,5,-6,11,-4,9,3,9,8,2,-3,10,4,-10,4,8,2,-4,9,11,-7,-10,-7,10,5,-1,4,5,-4,6,-2,-6,9,-1,8,4,-2,8,-1,-3]
[null,{"$f":"IF(K823<>\"\",1,0)","v":0},null,null,null,{"$f":"HLOOKUP(ID,$AA$814:$CB$828,3)","v":3},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,7)","v":4},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,10)","v":-6},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,13)","v":-12},null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F62),\"\",IF('mehr Aufgaben'!F62=F823,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,10,"c1",-6,14,-11,-14,-8,4,-2,3,-1,8,-14,11,-6,-13,12,-13,15,-6,8,-4,11,-13,1,-9,-7,0,-13,13,-6,-11,-13,13,-9,-14,-3,-5,10,1,-15,-7,-7,14,-4,11,-5,10,0,-6,9,11,11,-3,4,5,{"$f":"RANDBETWEEN(-15,15)","v":15},0,-3]
[null,{"$f":"IF(K824<>\"\",1,0)","v":0},"a)",null,"Gib den Ortsvektor von A an.",{"$f":"HLOOKUP(ID,$AA$814:$CB$828,4)","v":-8},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,8)","v":-13},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,11)","v":-6},{"$f":"HLOOKUP(ID,$AA$814:$CB$828,14)","v":-8},null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F63),\"\",IF('mehr Aufgaben'!F63=F824,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y823+1","v":11},"c2",-6,-15,-4,-3,-9,3,-9,11,-14,4,15,0,-4,7,6,-11,3,-13,3,-6,-8,11,10,-12,7,-6,-10,5,-6,14,-6,1,5,11,10,-4,15,15,10,-9,-2,3,0,4,-15,9,4,-8,-7,-4,-13,3,12,7,-5,0,-8]
[null,{"$f":"IF(K825<>\"\",1,0)","v":0},null,null,null,0,0,0,0,null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F64),\"\",IF('mehr Aufgaben'!F64=F825,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y824+1","v":12},"c3",1,7,2,13,-11,4,-7,-6,15,15,-5,6,-2,-12,-6,-13,-6,-15,14,-5,-1,-10,-1,0,13,-14,4,13,4,-13,10,-7,14,14,0,7,-8,-6,-7,-13,-1,-8,13,-10,4,14,0,-7,15,9,8,-1,14,6,8,-14,-5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,"d1",-12,-15,5,-7,-11,9,6,-14,-3,4,-12,-14,8,-10,-4,3,1,-2,13,-1,-9,5,-15,-14,-5,-9,-14,-6,-14,-4,-8,-2,-6,2,11,-13,-15,15,-3,11,2,-12,-6,-11,-13,1,3,6,6,-15,-13,6,3,5,8,0,-2]
[null,{"$f":"IF(G827<>\"\",1,0)","v":0},null,null,null,{"$f":"G823-F823","v":1},{"$f":"IF(ISBLANK('mehr Aufgaben'!F66),\"\",IF('mehr Aufgaben'!F66=F827,\"richtig!\",\"\"))","v":""},{"$f":"I823-H823","v":-6},null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,"d2",-8,14,-7,0,-4,13,9,-15,11,7,-13,-10,-4,-11,8,-4,5,-6,-8,-6,-2,-11,-14,-3,-8,3,-10,-11,11,12,-3,8,-12,-1,-12,-2,-15,1,14,11,2,15,-6,-11,3,1,15,-14,-10,-8,9,-14,-3,-7,{"$f":"RANDBETWEEN(-15,15)","v":2},-7,-4]
[null,{"$f":"IF(G828<>\"\",1,0)","v":0},"b)",null,"Berechne den Vektor AB",{"$f":"G824-F824","v":-5},{"$f":"IF(ISBLANK('mehr Aufgaben'!F67),\"\",IF('mehr Aufgaben'!F67=F828,\"richtig!\",\"\"))","v":""},{"$f":"I824-H824","v":-2},null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,"d3",3,-7,2,6,6,-15,-14,15,-12,-8,15,13,2,13,-2,9,-5,-3,13,-1,-8,7,-13,6,0,5,-2,-6,-9,0,5,14,-2,5,-9,-2,-6,-13,-11,0,13,7,-3,-13,-1,3,9,3,-15,14,14,-1,-9,13,14,-5,5]
[null,{"$f":"IF(G829<>\"\",1,0)","v":0},null,null,null,{"$f":"G825-F825","v":0},{"$f":"IF(ISBLANK('mehr Aufgaben'!F68),\"\",IF('mehr Aufgaben'!F68=F829,\"richtig!\",\"\"))","v":""},{"$f":"I825-H825","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m1",4,-4,-3,-4,2,4,-3,3,-4,-3,3,2,-4,3,-2,-2,3,-3,-2,-3,4,3,4,4,-4,4,-3,-4,-2,4,3,-2,3,3,-3,-4,3,-2,4,3,-2,-4,4,4,2,4,2,-4,-2,2,-3,-2,3,3,{"$f":"RANDBETWEEN(2,4)*(-1)^RANDBETWEEN(0,1)","v":3},-4,3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m2",3,3,-3,-4,3,-5,4,-3,-2,4,5,-3,5,-3,-2,-2,3,4,-2,2,-2,2,-4,-4,-2,-5,-5,5,-2,2,-2,4,-3,2,5,-4,3,-3,-5,4,2,3,4,-4,-2,-4,3,-3,-2,-2,-3,3,3,3,{"$f":"RANDBETWEEN(2,5)*(-1)^RANDBETWEEN(0,1)","v":3},5,5]
[null,{"$f":"IF(G831<>\"\",1,0)","v":0},null,null,null,{"$f":"-F827","v":-1},{"$f":"IF(ISBLANK('mehr Aufgaben'!F70),\"\",IF('mehr Aufgaben'!F70=F831,\"richtig!\",\"\"))","v":""},null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a1",5,5,2,5,1,2,1,2,4,1,2,4,3,7,1,4,1,4,7,4,5,4,6,1,1,3,1,7,5,7,3,1,4,3,1,1,1,6,6,1,1,6,2,7,4,1,4,1,7,3,1,7,7,3,{"$f":"RANDBETWEEN(1,7)","v":2},6,7]
[null,{"$f":"IF(G832<>\"\",1,0)","v":0},"c)",null,"Gib den Gegenvektor dazu an (BA)",{"$f":"-F828","v":5},{"$f":"IF(ISBLANK('mehr Aufgaben'!F71),\"\",IF('mehr Aufgaben'!F71=F832,\"richtig!\",\"\"))","v":""},null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,-3,-5,6,-3,3,6,-2,-5,2,6,5,7,-7,4,3,4,-4,-3,7,-6,-4,-2,4,3,2,4,6,-4,-6,-5,3,6,-6,5,4,5,-5,4,-3,3,3,-6,-2,-6,3,-3,-5,-5,3,-7,-5,2,6,{"$f":"RANDBETWEEN(2,7)*(-1)^RANDBETWEEN(0,1)","v":-4},-3,5]
[null,{"$f":"IF(G833<>\"\",1,0)","v":0},null,null,null,{"$f":"-F829","v":0},{"$f":"IF(ISBLANK('mehr Aufgaben'!F72),\"\",IF('mehr Aufgaben'!F72=F833,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(G835<>\"\",1,0)","v":0},"d)",null,"Berechne die Länge |AB| ",{"$f":"ROUND((F827^2+F828^2+F829^2)^0.5,1)","v":5.0999999999999996},{"$f":"IF(ISBLANK('mehr Aufgaben'!F74),\"\",IF('mehr Aufgaben'!F74=F835,\"richtig!\",\"\"))","v":""},{"$f":"ROUND((H827^2+H828^2+H829^2)^0.5,1)","v":6.3}]
[null,null,null,null,"(Ergebnis auf eine Nachkommastelle genau,"]
[null,null,null,null,"sonst kriegst du keine Antwort)"]
[null,{"$f":"IF(G838<>\"\",1,0)","v":0},null,null,null,{"$f":"F827+H827","v":-5},{"$f":"IF(ISBLANK('mehr Aufgaben'!F77),\"\",IF('mehr Aufgaben'!F77=F838,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G839<>\"\",1,0)","v":0},"e)",null,"Berechne AB + CD",{"$f":"F828+H828","v":-7},{"$f":"IF(ISBLANK('mehr Aufgaben'!F78),\"\",IF('mehr Aufgaben'!F78=F839,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G840<>\"\",1,0)","v":0},null,null,null,{"$f":"F829+H829","v":0},{"$f":"IF(ISBLANK('mehr Aufgaben'!F79),\"\",IF('mehr Aufgaben'!F79=F840,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(G842<>\"\",1,0)","v":0},null,null,null,{"$f":"F$821*F827+G$821*H827","v":16},{"$f":"IF(ISBLANK('mehr Aufgaben'!F82),\"\",IF('mehr Aufgaben'!F82=F842,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G843<>\"\",1,0)","v":0},"f)",null,"Berechne die Linearkombination",{"$f":"F$821*F828+G$821*H828","v":-16},{"$f":"IF(ISBLANK('mehr Aufgaben'!F83),\"\",IF('mehr Aufgaben'!F83=F843,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G844<>\"\",1,0)","v":0},null,null,{"$f":"F821&\"AB\"&IF(G821<0,\"-\",\"+\")&IF(ABS(G821)=1,\" \",ABS(G821))&\"CD\"","v":"4AB-2CD"},{"$f":"F$821*F825+G$821*G825","v":0},{"$f":"IF(ISBLANK('mehr Aufgaben'!F83),\"\",IF('mehr Aufgaben'!F83=F844,\"richtig!\",\"\"))","v":""}]
[]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$814:$CB$831,16)","v":4}]
[null,null,null,null,null,{"$f":"F$846*F827+G$848*H827","v":-14}]
[null,{"$f":"IF(H848<>\"\",1,0)","v":0},"g)",null,{"$f":"\"Berechne k und s so, dass \"&F846&\"AB +k*CD =\"","v":"Berechne k und s so, dass 4AB +k*CD ="},{"$f":"F$846*F828+G$848*H828","v":-26},{"$f":"HLOOKUP(ID,$AA$814:$CB$831,17)","v":3},{"$f":"IF(ISBLANK('mehr Aufgaben'!H87),\"\",IF('mehr Aufgaben'!H87=G848,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(H849<>\"\",1,0)","v":0},null,null,null,0,{"$f":"F848","v":-26},{"$f":"IF(ISBLANK('mehr Aufgaben'!H88),\"\",IF('mehr Aufgaben'!H88=G849,\"richtig!\",\"\"))","v":""}]
[]
[null,null,"h)",null,{"$f":"\"Gegeben ist P(p1|\"&F824&\"). Die Koordinate p1 fehlt leider.\"","v":"Gegeben ist P(p1|-8). Die Koordinate p1 fehlt leider."}]
[null,{"$f":"IF(H852<>\"\",1,0)","v":0},null,null,{"$f":"\"Berechne p1 so, dass |OP|=\"&ROUND((G852^2+F824^2)^0.5,4)","v":"Berechne p1 so, dass |OP|=9,434"},null,{"$f":"-G853","v":-5},{"$f":"IF(ISBLANK('mehr Aufgaben'!H91),\"\",IF('mehr Aufgaben'!H91=G852,\"richtig!\",IF('mehr Aufgaben'!H91=G853,\"richtig, aber die kleinere Möglichkeit nach oben!\",\"\")))","v":""}]
[null,{"$f":"IF(H853<>\"\",1,0)","v":0},null,null,"(OP ist der Ortsvektor von P)",null,{"$f":"HLOOKUP(ID,$AA$814:$CB$831,18)","v":5},{"$f":"IF(ISBLANK('mehr Aufgaben'!H92),\"\",IF('mehr Aufgaben'!H92=G853,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,"(Runde auf ein ganzahliges Ergebnis)"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[2,null,null,null,{"$f":"\"Aufgabe \"&A864&\" \"&E865","v":"Aufgabe 2 (Grundlagen in 3D)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(Grundlagen in 3D)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"a",4,2,-3,-4,3,-2,-1,1,3,-2,4,2,4,3,-3,-2,-3,-2,-4,-2,3,-1,-3,-3,3,2,-1,-2,1,2,-2,3,1,1,-1,3,-1,4,-2,4,-2,4,-1,1,3,1,3,1,4,-2,4,1,3,-4,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(0,1)","v":4},2,-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"a1",2,-9,-13,10,3,-8,-13,9,-14,14,-2,10,-10,14,-11,-3,4,-5,3,-1,7,-9,-5,5,10,-2,4,-8,-12,14,14,9,-11,14,9,9,-11,5,9,10,-6,-14,5,0,6,8,-7,5,13,2,-12,10,15,-7,{"$f":"RANDBETWEEN(-15,15)","v":4},10,-12]
[null,null,null,null,"Gegeben sind die folgende Punkte:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"a2",4,-10,-2,-3,9,15,-3,3,-2,-11,5,0,-14,-9,-3,10,14,9,8,15,13,-14,-6,7,-1,6,-5,4,-3,15,-11,-4,10,8,-1,12,11,13,-11,7,1,2,4,-12,0,7,0,-15,3,-2,-12,-5,2,-4,1,9,-10]
[null,null,null,null,{"$f":"\"A(\"&HLOOKUP(ID,$AA$864:$CB$881,3)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,4)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,5)&\")\"","v":"A(2;4;-3)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"a3",-3,6,-2,-7,6,7,6,-5,-5,13,1,12,13,13,14,2,-15,-4,1,-2,-6,-14,13,-4,15,-15,-10,2,2,3,6,-15,-14,6,14,-12,7,11,-14,13,3,-1,11,3,-2,14,-2,8,10,12,-4,-3,-3,-3,-6,12,-2]
[null,null,null,null,{"$f":"\"B(\"&HLOOKUP(ID,$AA$864:$CB$881,7)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,8)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,9)&\")\"","v":"B(11;-10;-4)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"b",2,-1,-3,1,-3,4,1,4,1,2,-2,3,3,3,-3,3,1,-2,4,4,-4,-4,3,-4,1,-3,-4,-4,1,-3,-2,-1,4,-2,4,1,-2,1,4,-1,3,-2,2,2,-1,-3,-4,-3,-3,3,-1,4,-3,3,{"$f":"RANDBETWEEN(1,4)*(-1)^RANDBETWEEN(0,1)","v":2},-2,-1]
[null,null,null,null,{"$f":"\"C(\"&HLOOKUP(ID,$AA$864:$CB$881,10)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,11)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,12)&\")\"","v":"C(-13;-8;2)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,"b1",11,-2,0,-6,-11,1,-6,-1,-11,6,5,-8,-5,5,11,10,-1,5,12,-10,9,-9,9,6,3,-5,-1,1,10,-3,9,7,-4,-11,3,-3,-11,5,-11,-7,-5,-8,-12,0,-12,4,4,-7,10,4,-1,-12,9,6,{"$f":"RANDBETWEEN(-12,12)","v":-12},-10,-8]
[null,null,null,null,{"$f":"\"D(\"&HLOOKUP(ID,$AA$864:$CB$881,13)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,14)&\";\"&HLOOKUP(ID,$AA$864:$CB$881,15)&\")\"","v":"D(-11;7;-3)"},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,2)","v":4},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,6)","v":2},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"b2",-10,-12,-7,4,5,2,1,1,-9,-8,8,-11,-7,6,-9,6,-12,-7,-12,12,-6,-9,-12,9,12,-12,-12,1,-11,12,7,9,0,9,-8,-8,-4,7,-8,-1,10,4,-4,-12,-5,12,-4,11,-4,10,-6,-5,9,-8,-6,6,10]
[null,null,null,null,null,"A","B","C","D",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,"b3",-4,-9,6,8,9,8,4,6,-10,2,2,4,-7,5,-3,8,5,9,4,1,6,-6,9,0,10,3,-2,-10,-8,5,-8,10,-7,-8,-4,1,-9,-6,-2,-3,3,1,9,-2,-3,8,-9,3,-9,-11,-9,-1,10,-6,{"$f":"RANDBETWEEN(-11,11)","v":9},-1,-6]
[null,{"$f":"IF(K873<>\"\",1,0)","v":0},null,null,null,{"$f":"HLOOKUP(ID,$AA$864:$CB$881,3)","v":2},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,7)","v":11},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,10)","v":-13},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,13)","v":-11},null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F112),\"\",IF('mehr Aufgaben'!F112=F873,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,10,"c1",-13,3,-5,-6,-4,8,-12,7,7,1,8,1,0,5,8,11,2,-10,-7,-6,12,-10,11,-7,-2,-5,10,-8,11,9,-1,0,-3,4,-4,-12,11,4,-12,1,5,9,6,11,0,-3,-7,-8,2,-3,6,0,-7,7,{"$f":"RANDBETWEEN(-12,12)","v":1},1,0]
[null,{"$f":"IF(K874<>\"\",1,0)","v":0},"a)",null,"Gib den Ortsvektor von A an.",{"$f":"HLOOKUP(ID,$AA$864:$CB$881,4)","v":4},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,8)","v":-10},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,11)","v":-8},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,14)","v":7},null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F113),\"\",IF('mehr Aufgaben'!F113=F874,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y873+1","v":11},"c2",-8,14,7,-11,-12,-4,-7,15,7,-12,0,0,-1,-9,-3,-12,-8,8,11,10,-8,-15,7,15,-2,-11,-7,-6,-14,-3,-5,-14,-10,-15,-15,-10,-6,3,11,15,-2,15,15,-13,12,6,-6,-7,13,-14,-1,-5,9,15,{"$f":"RANDBETWEEN(-15,15)","v":10},10,-13]
[null,{"$f":"IF(K875<>\"\",1,0)","v":0},null,null,null,{"$f":"HLOOKUP(ID,$AA$864:$CB$881,5)","v":-3},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,9)","v":-4},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,12)","v":2},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,15)","v":-3},null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F114),\"\",IF('mehr Aufgaben'!F114=F875,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y874+1","v":12},"c3",2,14,-6,2,6,15,6,11,-9,-4,-1,9,2,13,-3,-5,-5,-3,-5,-8,-13,-14,-6,-3,13,-12,4,12,3,4,-4,9,13,-9,-6,-9,0,-1,3,11,-5,9,-7,-10,-6,15,-8,-6,12,-2,-8,11,0,-14,9,2,5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,"d1",-11,-3,12,-14,6,10,9,-6,4,7,-12,8,-11,-2,15,8,10,7,-10,-8,8,2,-13,11,-4,-5,-11,-3,-7,14,-7,-10,-9,8,7,15,-6,-4,-9,10,-13,-9,-4,9,4,1,13,-13,1,3,-14,-10,8,-3,-14,5,-12]
[null,{"$f":"IF(G877<>\"\",1,0)","v":0},null,null,null,{"$f":"G873-F873","v":9},{"$f":"IF(ISBLANK('mehr Aufgaben'!F116),\"\",IF('mehr Aufgaben'!F116=F877,\"richtig!\",\"\"))","v":""},{"$f":"I873-H873","v":2},null,null,null,null,-18,-8,null,null,null,null,null,null,null,null,null,null,14,"d2",7,6,4,-9,6,-5,-6,-7,11,15,-1,4,-5,-3,-1,12,3,8,-10,-15,2,11,-14,2,-7,2,3,8,-8,0,0,-10,-12,13,8,-12,-14,-10,10,3,1,0,-13,-4,-7,-15,-10,-2,6,9,-6,2,-10,6,10,8,6]
[null,{"$f":"IF(G878<>\"\",1,0)","v":0},"b)",null,"Berechne den Vektor AB",{"$f":"G874-F874","v":-14},{"$f":"IF(ISBLANK('mehr Aufgaben'!F117),\"\",IF('mehr Aufgaben'!F117=F878,\"richtig!\",\"\"))","v":""},{"$f":"I874-H874","v":15},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,"d3",-3,-15,6,9,1,-12,0,9,-14,-11,7,8,-13,-14,11,11,-15,0,-5,-12,13,8,14,9,-15,4,-6,-2,2,11,11,8,13,3,-6,7,-11,12,-9,-5,4,15,11,-7,-12,-12,5,8,4,1,-5,13,14,-2,{"$f":"RANDBETWEEN(-15,15)","v":-15},-10,8]
[null,{"$f":"IF(G879<>\"\",1,0)","v":0},null,null,null,{"$f":"G875-F875","v":-1},{"$f":"IF(ISBLANK('mehr Aufgaben'!F118),\"\",IF('mehr Aufgaben'!F118=F879,\"richtig!\",\"\"))","v":""},{"$f":"I875-H875","v":-5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,"m1",-2,-2,-4,2,-3,-3,2,4,3,3,4,4,4,-4,-3,-2,-4,3,-4,3,4,-2,-3,2,-4,-4,-4,3,-2,4,2,-2,2,-4,4,3,-3,-4,-4,-4,4,4,-4,4,4,2,4,2,-4,2,-4,-2,4,-4,{"$f":"RANDBETWEEN(2,4)*(-1)^RANDBETWEEN(0,1)","v":2},-4,-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,"m2",-4,-2,4,-3,-2,-2,-4,2,-3,2,-2,4,-2,2,2,-3,-3,3,4,3,4,-2,-2,-3,4,3,-3,4,2,-4,4,2,4,-4,-3,4,-3,-2,3,-2,3,3,-4,3,-3,-4,-3,-4,2,2,3,-2,4,-3,3,-4,-2]
[null,{"$f":"IF(G881<>\"\",1,0)","v":0},null,null,null,{"$f":"-F877","v":-9},{"$f":"IF(ISBLANK('mehr Aufgaben'!F120),\"\",IF('mehr Aufgaben'!F120=F881,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,"a1",3,1,1,6,5,1,6,7,2,3,5,5,2,3,4,5,6,5,3,2,7,5,6,1,7,1,6,2,1,1,7,7,4,1,7,7,2,5,1,7,5,4,1,1,2,6,5,7,6,2,3,3,2,4,{"$f":"RANDBETWEEN(1,7)","v":7},6,3]
[null,{"$f":"IF(G882<>\"\",1,0)","v":0},"c)",null,"Gib den Gegenvektor dazu an (BA)",{"$f":"-F878","v":14},{"$f":"IF(ISBLANK('mehr Aufgaben'!F121),\"\",IF('mehr Aufgaben'!F121=F882,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G883<>\"\",1,0)","v":0},null,null,null,{"$f":"-F879","v":1},{"$f":"IF(ISBLANK('mehr Aufgaben'!F122),\"\",IF('mehr Aufgaben'!F122=F883,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(G885<>\"\",1,0)","v":0},"d)",null,"Berechne die Länge |AB| ",{"$f":"ROUND((F877^2+F878^2+F879^2)^0.5,1)","v":16.7},{"$f":"IF(ISBLANK('mehr Aufgaben'!F124),\"\",IF('mehr Aufgaben'!F124=F885,\"richtig!\",\"\"))","v":""},{"$f":"ROUND((H877^2+H878^2+H879^2)^0.5,1)","v":15.9}]
[null,null,null,null,"(Ergebnis auf eine Nachkommastelle genau,"]
[null,null,null,null,"sonst kriegst du keine Antwort)"]
[null,{"$f":"IF(G888<>\"\",1,0)","v":0},null,null,null,{"$f":"F877+H877","v":11},{"$f":"IF(ISBLANK('mehr Aufgaben'!F127),\"\",IF('mehr Aufgaben'!F127=F888,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G889<>\"\",1,0)","v":0},"e)",null,"Berechne AB + CD",{"$f":"F878+H878","v":1},{"$f":"IF(ISBLANK('mehr Aufgaben'!F128),\"\",IF('mehr Aufgaben'!F128=F889,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G890<>\"\",1,0)","v":0},null,null,null,{"$f":"F879+H879","v":-6},{"$f":"IF(ISBLANK('mehr Aufgaben'!F129),\"\",IF('mehr Aufgaben'!F129=F890,\"richtig!\",\"\"))","v":""}]
[]
[null,{"$f":"IF(G892<>\"\",1,0)","v":0},null,null,null,{"$f":"$F$871*F877+G$871*H877","v":40},{"$f":"IF(ISBLANK('mehr Aufgaben'!F132),\"\",IF('mehr Aufgaben'!F132=F892,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G893<>\"\",1,0)","v":0},"f)",null,"Berechne die Linearkombination",{"$f":"$F$871*F878+G$871*H878","v":-26},{"$f":"IF(ISBLANK('mehr Aufgaben'!F133),\"\",IF('mehr Aufgaben'!F133=F893,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(G894<>\"\",1,0)","v":0},null,null,{"$f":"F871&\"AB\"&IF(G871<0,\"-\",\"+\")&IF(ABS(G871)=1,\" \",ABS(G871))&\"CD\"","v":"4AB+2CD"},{"$f":"$F$871*F879+G$871*H879","v":-14},{"$f":"IF(ISBLANK('mehr Aufgaben'!F134),\"\",IF('mehr Aufgaben'!F134=F894,\"richtig!\",\"\"))","v":""}]
[]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$864:$CB$881,16)","v":-2},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,17)","v":-4}]
[null,null,null,null,null,{"$f":"F$896*F877+G$896*H877","v":-26}]
[null,{"$f":"IF(H898<>\"\",1,0)","v":0},"g)",null,{"$f":"\"Berechne k und s so, dass \"&F896&\"AB+k*CD =\"","v":"Berechne k und s so, dass -2AB+k*CD ="},{"$f":"F$896*F878+G$896*H878","v":-32},{"$f":"G896","v":-4},{"$f":"IF(ISBLANK('mehr Aufgaben'!H137),\"\",IF('mehr Aufgaben'!H137=G898,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,{"$f":"F$846*F877+H$848*G877","v":{"$error":"#VALUE!"}}]
[null,{"$f":"IF(H899<>\"\",1,0)","v":0},null,null,null,22,{"$f":"F898","v":-32},{"$f":"IF(ISBLANK('mehr Aufgaben'!H138),\"\",IF('mehr Aufgaben'!H138=G899,\"richtig!\",\"\"))","v":""}]
[]
[null,null,"h)",null,{"$f":"\"Gegeben ist P(p1;\"&F874&\";\"&F875&\")\"","v":"Gegeben ist P(p1;4;-3)"}]
[null,{"$f":"IF(H902<>\"\",1,0)","v":0},null,null,{"$f":"\"Berechne die Koordinate p1 so, dass |OP|=\"&ROUND((G902^2+F874^2+F875^2)^0.5,4)","v":"Berechne die Koordinate p1 so, dass |OP|=5,831"},null,{"$f":"-G903","v":-3},{"$f":"IF(ISBLANK('mehr Aufgaben'!H141),\"\",IF('mehr Aufgaben'!H141=G902,\"richtig!\",\"\"))","v":""}]
[null,{"$f":"IF(H903<>\"\",1,0)","v":0},null,null,"(OP ist der Ortsvektor von P)",null,{"$f":"HLOOKUP(ID,$AA$864:$CB$881,18)","v":3},{"$f":"IF(ISBLANK('mehr Aufgaben'!H142),\"\",IF('mehr Aufgaben'!H142=G903,\"richtig!\",\"\"))","v":""}]
[null,null,null,null,"(Runde auf ein ganzahliges Ergebnis)"]
[]
[]
[]
[]
[3,null,null,null,{"$f":"\"Aufgabe \"&A909&\" \"&E910","v":"Aufgabe 3 (Punkte auf einer Geraden)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(Punkte auf einer Geraden)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"a",4,2,4,2,10,3,3,4,5,4,5,5,5,2,5,2,2,10,2,2,2,10,3,3,3,2,2,4,3,2,2,2,2,3,3,3,2,5,2,4,10,3,5,2,4,2,5,2,4,3,5,4,2,2,{"$f":"IF(CC927=-4,10,RANDBETWEEN(2,5))","v":5},2,5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"a1",-1,-8,14,7,3,6,-11,14,-1,-15,1,-5,6,-7,14,-3,-12,-1,-11,8,-3,5,14,6,-10,14,7,9,8,7,-4,0,13,-1,8,-1,14,-12,-12,-7,10,-13,15,2,6,7,6,9,-1,9,1,9,14,-4,{"$f":"RANDBETWEEN(-15,15)","v":6},7,15]
[null,null,null,null,"Gegeben sind die folgende Punkte:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"a2",-6,14,-2,6,8,1,-9,-4,-10,5,5,4,15,-13,-1,-13,14,7,-4,3,5,-7,-5,6,9,8,-6,4,-12,4,3,10,-13,-14,9,-4,11,-4,-8,10,-1,-10,-4,-15,-12,7,12,2,-2,-5,-13,6,-2,-10,{"$f":"RANDBETWEEN(1,15)*(-1)^RANDBETWEEN(0,1)","v":-11},-5,-9]
[null,null,null,null,{"$f":"\"P(\"&HLOOKUP(ID,$AA$909:$CB$926,3)&\";\"&HLOOKUP(ID,$AA$909:$CB$926,4)&\";\"&HLOOKUP(ID,$AA$909:$CB$926,5)&\")\"","v":"P(-1;-6;2)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"a3",2,15,9,-3,9,-7,-2,9,-11,9,-7,-3,1,-11,3,1,-3,15,-3,-13,10,12,-3,15,15,7,2,-13,13,-15,-15,13,1,-2,-3,-2,-5,-13,6,4,12,15,-12,8,-15,-1,14,-8,-4,9,-2,-1,-13,11,13,-13,14]
[null,null,null,null,{"$f":"\"Q(\"&HLOOKUP(ID,$AA$909:$CB$926,7)&\";\"&HLOOKUP(ID,$AA$909:$CB$926,8)&\";\"&HLOOKUP(ID,$AA$909:$CB$926,9)&\")\"","v":"Q(-10;4;-4)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"b",-3,1,5,-1,-4,-5,5,-5,4,1,-2,-2,1,-5,-5,3,-1,-4,4,-2,-2,-4,-5,2,2,4,-2,3,4,-1,-3,4,3,1,-1,4,3,1,-3,5,-4,4,3,-1,1,-1,6,1,-2,-2,6,-1,1,5,{"$f":"IF(CC927<>CC910,CC927,CC910+1)","v":3},3,-1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,"b1",-10,0,-3,4,-1,3,9,-11,-3,1,-5,-12,-9,-7,-12,-10,-2,-1,2,7,-6,-3,-2,9,-5,12,7,6,-2,-11,-10,-7,-9,-7,10,-4,-5,-12,10,-6,2,-12,3,-4,-11,11,10,12,-1,9,-10,-1,-9,-3,{"$f":"RANDBETWEEN(-12,12)","v":-12},-6,-7]
[null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$909:$CB$926,2)","v":4},{"$f":"HLOOKUP(ID,$AA$909:$CB$926,6)","v":-3},null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"b2",4,-8,-9,-9,4,1,-9,2,-3,2,6,6,-2,-12,3,-5,5,8,4,-12,-12,7,12,-10,-9,-9,12,-5,7,7,10,-1,10,5,9,-5,-11,-2,0,7,-2,-11,11,5,9,-4,-1,-11,-10,-5,3,-6,-7,-6,-12,11,10]
[null,null,null,null,null,"P","Q","PQ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,"b3",-4,-9,-6,0,4,7,5,-11,2,9,-6,-8,5,-6,-8,-2,-9,-3,-2,3,2,9,-1,3,-10,1,10,8,-1,5,6,-6,9,-11,3,-5,0,-10,8,1,7,-3,-3,-10,10,10,-4,9,-9,1,2,-6,-7,8,{"$f":"RANDBETWEEN(-11,11)","v":3},11,-8]
[null,{"$f":"IF(L918<>\"\",1,0)","v":0},null,null,null,{"$f":"HLOOKUP(ID,$AA$909:$CB$926,3)","v":-1},{"$f":"HLOOKUP(ID,$AA$909:$CB$926,7)","v":-10},{"$f":"G918-F918","v":-9},{"$f":"$F918+J$916*H918","v":26},{"$f":"$F918+I$916*H918","v":-37},null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F157),\"\",IF('mehr Aufgaben'!F157=F918,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,10,"c1",-4,5,4,9,0,10,11,10,-11,3,-7,2,-3,-11,-12,7,3,6,-11,-5,1,-6,-5,0,5,-9,-11,8,5,6,8,6,10,-7,5,3,7,-11,2,12,3,-3,-3,2,-4,-5,4,10,7,-2,10,2,5,-2,{"$f":"RANDBETWEEN(-12,12)","v":-12},-7,8]
[null,{"$f":"IF(L919<>\"\",1,0)","v":0},"a)",null,"Gib den Vektor OP an.",{"$f":"HLOOKUP(ID,$AA$909:$CB$926,4)","v":-6},{"$f":"HLOOKUP(ID,$AA$909:$CB$926,8)","v":4},{"$f":"G919-F919","v":10},{"$f":"$F919+I$916*H919","v":34},{"$f":"$F919+I$916*H919","v":34},null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F158),\"\",IF('mehr Aufgaben'!F158=F919,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y918+1","v":11},"c2",-8,-2,1,15,-9,14,-11,-12,13,-12,10,11,15,-3,-7,-6,7,11,-12,3,-2,0,15,-13,3,-1,-10,9,6,-12,-14,5,-11,14,-15,9,9,1,3,-1,-3,8,8,-9,10,14,15,-1,-5,-13,-10,5,-6,3,{"$f":"RANDBETWEEN(-15,15)","v":6},-9,9]
[null,{"$f":"IF(L920<>\"\",1,0)","v":0},null,null,null,{"$f":"HLOOKUP(ID,$AA$909:$CB$926,5)","v":2},{"$f":"HLOOKUP(ID,$AA$909:$CB$926,9)","v":-4},{"$f":"G920-F920","v":-6},{"$f":"$F920+I$916*H920","v":-22},-22,null,{"$f":"IF(ISBLANK('mehr Aufgaben'!F159),\"\",IF('mehr Aufgaben'!F159=F920,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y919+1","v":12},"c3",-1,-7,0,10,12,5,12,13,-5,8,3,-10,-4,-2,-13,0,1,-14,14,-15,-2,-9,-11,6,10,3,4,-3,-1,15,15,-3,6,0,6,15,10,1,-12,-3,4,5,15,11,-10,14,-2,2,-13,2,11,-15,-8,-9,-3,14,13]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,"d1",-8,9,-12,10,15,2,-5,-4,12,-10,-13,12,14,-11,6,-14,-12,-9,-1,-11,5,-4,15,-1,-1,11,-12,5,14,-13,-13,-5,7,-8,8,-11,-7,0,-6,14,15,-6,8,9,3,-9,-4,-9,14,5,3,11,9,-10,14,8,2]
[null,{"$f":"IF(G922<>\"\",1,0)","v":0},null,null,null,{"$f":"G918-F918","v":-9},{"$f":"IF(ISBLANK('mehr Aufgaben'!F161),\"\",IF('mehr Aufgaben'!F161=F922,\"richtig!\",\"\"))","v":""},null,null,null,null,null,-18,-8,null,null,null,null,null,null,null,null,null,null,14,"d2",0,-12,-4,12,-8,-5,15,-3,6,-12,0,9,14,-9,-4,-8,-7,3,14,-6,-13,-7,15,-12,12,-9,-8,-2,12,-8,9,4,8,13,-5,-15,10,13,-5,-13,8,13,2,-2,15,10,12,12,15,-3,10,-9,-13,15,13,-15,-2]
[null,{"$f":"IF(G923<>\"\",1,0)","v":0},"b)",null,"Berechne den Verbindungsvektor",{"$f":"G919-F919","v":10},{"$f":"IF(ISBLANK('mehr Aufgaben'!F162),\"\",IF('mehr Aufgaben'!F162=F923,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,"d3",8,-9,2,-10,-5,-14,-9,0,13,2,-15,8,15,4,-9,2,12,13,14,-10,5,-15,-14,-5,4,-1,-9,-7,-5,-2,-10,13,3,4,-8,-15,12,2,11,-2,11,-14,-3,-13,-11,11,13,0,-5,9,-10,12,-5,-3,-8,-11,15]
[null,{"$f":"IF(G924<>\"\",1,0)","v":0},null,null,"von P nach Q.",{"$f":"G920-F920","v":-6},{"$f":"IF(ISBLANK('mehr Aufgaben'!F163),\"\",IF('mehr Aufgaben'!F163=F924,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,"m1",4,3,-4,-4,2,2,-3,3,-3,-3,-3,2,-2,-4,4,4,-3,2,-2,2,-3,3,-3,4,-2,4,-3,-2,-3,4,-3,4,2,3,3,3,3,-3,2,4,3,-3,2,-4,2,-2,-4,-2,4,-4,3,2,3,-2,{"$f":"RANDBETWEEN(2,4)*(-1)^RANDBETWEEN(0,1)","v":-4},-4,-4]
[null,null,null,null,null,{"$f":"ABS(HLOOKUP(ID,$AA$909:$CB$926,2))","v":4},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,"m2",-3,3,4,-2,3,2,4,4,-3,3,-3,2,-3,-3,3,-4,-2,-3,2,-4,-2,-4,-2,-2,-2,4,3,3,-2,-2,4,-3,3,4,-3,2,-3,3,4,3,4,3,4,-2,-2,-2,3,-3,4,-3,-2,4,4,3,3,2,2]
[null,{"$f":"IF(G926<>\"\",1,0)","v":0},null,null,null,{"$f":"I918","v":26},{"$f":"IF(ISBLANK('mehr Aufgaben'!F165),\"\",IF('mehr Aufgaben'!F165=F926,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,"a1",2,5,6,4,4,6,6,3,4,4,5,3,7,7,6,1,6,4,2,6,1,2,5,7,1,1,7,5,4,6,3,2,1,5,7,4,3,2,3,7,6,3,2,6,3,6,3,3,3,5,6,5,1,3,{"$f":"RANDBETWEEN(1,7)","v":1},5,2]
[null,{"$f":"IF(G927<>\"\",1,0)","v":0},"c)",null,{"$f":"\"Nimm OP und addiere \"&F925&\"mal PQ dazu.\"","v":"Nimm OP und addiere 4mal PQ dazu."},{"$f":"I919","v":34},{"$f":"IF(ISBLANK('mehr Aufgaben'!F166),\"\",IF('mehr Aufgaben'!F166=F927,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,4,-1,-4,-5,5,-5,4,1,-2,-2,1,-5,-5,2,-1,-4,4,-2,-2,-4,-5,2,2,4,-2,3,4,-1,-3,4,3,1,-1,3,2,1,-3,4,-4,3,3,-1,1,-1,5,1,-2,-2,5,-1,1,5,{"$f":"RANDBETWEEN(1,5)*(-1)^RANDBETWEEN(0,1)","v":3},2,-1]
[null,{"$f":"IF(G928<>\"\",1,0)","v":0},null,null,null,-22,{"$f":"IF(ISBLANK('mehr Aufgaben'!F167),\"\",IF('mehr Aufgaben'!F167=F928,\"richtig!\",\"\"))","v":""}]
[]
[null,null,"d)",null,"Berechne t so,",{"$f":"J918","v":-37},{"$f":"J916","v":-3}]
[null,{"$f":"IF(G931<>\"\",1,0)","v":0},null,null,"dass OP+t*PQ= ",{"$f":"J919","v":34},{"$f":"IF(ISBLANK('mehr Aufgaben'!F169),\"\",IF('mehr Aufgaben'!F169=G930,\"richtig! Damit ist auch gezeigt, dass dieser Punkt auf der Geraden durch P und Q liegt.\",\"\"))","v":""}]
[null,null,null,null,null,-22]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[4,null,null,null,{"$f":"\"Aufgabe \"&A961&\" \"&E962","v":"Aufgabe 4 (Geraden)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(Geraden)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Parameter für A",null,null,2,"a",4,-3,8,6,5,7,-3,-1,-1,6,-6,-8,-8,2,7,2,-3,-8,-8,-6,2,5,4,8,4,2,-2,2,-4,-2,7,8,2,7,-2,-1,5,-4,-8,-8,4,1,3,-8,-5,5,-7,-4,-5,7,-5,6,6,-5,{"$f":"RANDBETWEEN(1,8)*(-1)^RANDBETWEEN(0,1)","v":1},3,2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Spurpunkt",null,null,3,"a1",0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,null,null,null,"g ist die Gerade durch die beiden Punkte P und Q:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"a2",4,-7,-7,7,-1,-1,-4,-2,-2,4,-6,-8,8,-1,8,3,5,-3,-5,1,6,4,-2,2,4,-2,-1,1,3,6,8,-5,6,7,-5,2,3,1,-6,1,-8,-7,-3,5,2,-1,6,8,3,-1,-6,7,1,3,{"$f":"RANDBETWEEN(1,8)*(-1)^RANDBETWEEN(0,1)","v":-2},-2,8]
[null,null,null,null,{"$f":"\"P(\"&I970&\";\"&I971&\";\"&I972&\")\"","v":"P(12;-28;5)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"a3",-3,-1,-1,-7,-7,-4,4,1,-3,-5,5,-2,6,5,4,1,2,6,-1,3,-3,3,2,-7,-4,-7,5,-3,6,-2,-5,2,4,3,7,-6,-6,3,-1,-1,-7,-2,3,4,7,-1,-2,-2,-2,5,6,-7,-5,-4,{"$f":"RANDBETWEEN(1,7)*(-1)^RANDBETWEEN(0,1)","v":3},-5,2]
[null,null,null,null,{"$f":"\"Q(\"&J970&\";\"&J971&\";\"&J972&\")\"","v":"Q(6;-12;1)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Parameter für B",null,null,6,"b",2,-1,13,8,6,10,0,2,0,9,-5,-4,-6,5,11,3,1,-7,-7,-4,5,7,7,13,5,4,2,3,0,1,9,13,6,9,0,2,10,0,-6,-4,5,5,5,-6,0,7,-5,-1,-1,8,0,10,8,-4,{"$f":"RANDBETWEEN(1,5)+CC962","v":5},8,5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Spurpunkt",null,null,7,"b1",3,1,6,-5,1,2,-4,-2,1,-2,2,-4,5,6,-1,3,-5,-3,1,-6,6,-4,-4,-3,-7,-4,4,-7,8,-7,8,1,-5,1,-5,8,-3,-3,-6,-8,-2,1,-8,-8,7,2,-3,-4,-2,4,-2,-8,5,-8,{"$f":"RANDBETWEEN(1,8)*(-1)^RANDBETWEEN(0,1)","v":-3},-4,6]
[null,null,null,null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$961:$CB$997,2)","v":4},{"$f":"HLOOKUP(ID,$AA$961:$CB$997,6)","v":2},{"$f":"HLOOKUP(ID,$AA$961:$CB$997,16)","v":-4},null,null,null,null,null,null,null,null,null,null,null,null,null,8,"b2",0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[null,null,null,null,null,"Spurpunkt1","Spurpunkt1","w","P","Q","R",null,null,null,null,null,null,null,null,null,null,null,null,null,9,"b3",-4,-5,-2,6,3,-2,5,-1,1,1,-1,3,2,7,4,7,5,-3,1,7,-3,1,-7,-5,-6,7,-5,3,3,-6,7,4,-7,-3,-7,-6,-2,5,-5,-2,1,-5,-4,7,-4,-7,3,7,-3,6,-1,4,-2,3,{"$f":"RANDBETWEEN(1,7)*(-1)^RANDBETWEEN(0,1)","v":-6},2,5]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$961:$CB$997,3)","v":0},{"$f":"HLOOKUP(ID,$AA$961:$CB$997,7)","v":3},{"$f":"G970-F970","v":3},{"$f":"F970+$I$968*H970","v":12},{"$f":"F970+$J$968*H970","v":6},{"$f":"F970+$K$968*H970","v":-12},null,null,null,null,null,null,null,null,null,null,null,null,null,10,"c1",-13,10,-8,-2,5,0,-10,-7,-3,-6,-10,9,10,2,-2,6,-1,-9,7,3,-10,-5,0,-2,1,-7,7,4,10,2,-7,-6,3,-2,10,8,-8,4,-10,7,-8,-3,-5,-6,5,-1,4,-9,4,-10,-7,-3,-10,-8,{"$f":"RANDBETWEEN(-10,10)","v":8},-8,-6]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$961:$CB$997,4)","v":4},{"$f":"HLOOKUP(ID,$AA$961:$CB$997,8)","v":0},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,11)","v":-8},{"$f":"F971+$I$968*H971","v":-28},{"$f":"F971+$J$968*H971","v":-12},{"$f":"F971+$K$968*H971+L971","v":35},{"$f":"IF(HLOOKUP(ID,$AA$961:$CB$997,19)=1,IF(HLOOKUP(ID,$AA$961:$CB$997,20)=2,HLOOKUP(ID,$AA$961:$CB$997,21),0),0)","v":-1},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y970+1","v":11},"c2",-8,-5,9,3,1,10,-6,1,3,1,1,-5,0,8,-6,-8,-7,-5,1,2,-8,10,7,3,6,-3,-5,-10,-10,-1,9,9,8,2,5,-9,-7,-3,6,10,-5,-10,9,-7,-5,0,10,7,8,-9,8,-5,2,-1,-3,-9,6]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$961:$CB$997,5)","v":-3},{"$f":"HLOOKUP(ID,$AA$961:$CB$997,9)","v":-4},{"$f":"HLOOKUP(ID,$AA$864:$CB$881,12)","v":2},{"$f":"F972+$I$968*H972","v":5},1,{"$f":"F972+$K$968*H972+L972","v":-11},{"$f":"IF(HLOOKUP(ID,$AA$961:$CB$997,19)=1,IF(HLOOKUP(ID,$AA$961:$CB$997,20)=3,HLOOKUP(ID,$AA$961:$CB$997,21),0),0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y971+1","v":12},"c3",2,0,13,-10,1,-15,7,11,-13,10,-12,-11,-12,-1,-11,1,9,-1,-9,14,-14,7,-8,-6,10,-6,12,5,-5,-8,9,-2,0,-8,-11,-1,-14,0,9,-5,-3,7,0,-15,-12,-11,9,-4,-2,6,-8,1,-12,7,{"$f":"RANDBETWEEN(-15,15)","v":10},0,-1]
[null,null,"a)",null,"Gib eine Geradengleichung von g an.",null,null,null,null,null,null,{"$f":"SUM(L971:L972)","v":-1},null,null,null,null,null,null,null,null,null,null,null,null,13,"d1",-11,-15,-1,12,11,0,12,11,-7,-10,10,-14,-11,8,7,-6,-7,14,-1,5,11,-15,-10,7,-2,-2,-6,-9,-5,-8,3,-15,5,7,14,-6,-13,6,5,4,5,3,13,-4,8,-8,7,8,9,13,8,13,-1,-5,13,-9,11]
[null,null,null,null,null,{"$f":"H970","v":3},{"$f":"IF('mehr Aufgaben'!C188=I970,1000,F974/(I970-'mehr Aufgaben'!C188))","v":0.25},{"$f":"H970","v":3},{"$f":"IF('mehr Aufgaben'!E188=0,1000,F974/'mehr Aufgaben'!E188)","v":1000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,"d2",7,-9,-6,-6,6,6,15,-8,-3,9,-13,-1,-9,-10,13,-11,-4,-10,-5,2,-6,-3,-4,-11,-13,5,-5,-12,11,-13,12,10,-2,-3,-7,8,5,-5,-9,-6,-10,1,-5,-9,6,13,11,10,11,5,11,-15,-12,9,13,-7,-14]
[null,null,null,null,"Stützvektor",{"$f":"H971","v":-8},{"$f":"IF('mehr Aufgaben'!C189=I971,1000,F975/(I971-'mehr Aufgaben'!C189))","v":0.2857142857142857},{"$f":"H971","v":-8},{"$f":"IF('mehr Aufgaben'!E189=0,2000,F975/'mehr Aufgaben'!E189)","v":2000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,"d3",-3,-1,14,-9,2,5,0,-11,7,-14,3,15,-1,-8,-1,7,15,-11,10,15,-14,0,10,14,-13,8,-7,5,-8,5,-14,11,2,-10,-8,-8,-6,-10,-11,-15,15,0,11,10,11,7,-5,11,-5,-10,-1,3,8,-2,-9,6,9]
[null,null,null,null,null,{"$f":"H972","v":2},{"$f":"IF('mehr Aufgaben'!C190=I972,1000,F976/(I972-'mehr Aufgaben'!C190))","v":0.4},2,{"$f":"IF('mehr Aufgaben'!E190=0,3000,F976/'mehr Aufgaben'!E190)","v":3000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,"m1",-4,-4,-5,4,5,-4,4,-4,-4,-4,3,5,-5,3,-5,-3,4,-5,3,-5,-5,2,-4,-5,-2,-2,2,3,-4,5,-5,2,-4,-3,2,5,-3,5,2,4,-2,-4,-5,-4,-3,-3,-3,-5,2,4,2,-4,-3,5,{"$f":"RANDBETWEEN(2,5)*(-1)^RANDBETWEEN(0,1)","v":-4},-2,4]
[null,{"$f":"IF(G977=\"richtig\",1,0)+IF(I977=\"richtig\",1,0)","v":0},null,null,null,null,{"$f":"IF((G974-G975)^2+(G975-G976)^2=0,\"richtig\",\"\")","v":""},null,{"$f":"IF((I974-I975)^2+(I975-I976)^2=0,\"richtig\",\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,"m2",-5,-5,3,-5,4,-2,-3,-4,-4,-1,-4,2,0,2,-1,0,1,-1,-2,-5,-2,0,1,-5,-3,4,5,-1,-3,0,-2,1,1,-4,2,4,4,4,5,4,3,-3,2,-1,-4,5,2,0,2,-5,2,2,4,-5,{"$f":"RANDBETWEEN(-5,5)","v":-4},-3,-5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,"a1",3,5,3,2,1,2,6,6,7,4,1,1,4,7,1,1,7,4,7,6,6,3,5,2,6,7,6,5,6,4,1,3,3,6,6,4,6,5,5,4,3,6,7,7,3,1,1,6,5,3,3,1,5,1,{"$f":"RANDBETWEEN(1,7)","v":1},4,4]
[null,null,"b)",null,"Gib eine andere Geradengleichung von g an (beide Vektoren neu!)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Zufallsveränderung von R",null,null,19,"ob",1,2]
[null,null,null,null,null,{"$f":"F974","v":3},{"$f":"IF('mehr Aufgaben'!C194=I970,1000,F980/($I970-'mehr Aufgaben'!C194))","v":0.25},{"$f":"H974","v":3},{"$f":"IF('mehr Aufgaben'!E194=0,1000,F980/'mehr Aufgaben'!E194)","v":1000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,"welches",2,3]
[null,null,null,null,null,{"$f":"F975","v":-8},{"$f":"IF('mehr Aufgaben'!C195=I971,1000,F981/($I971-'mehr Aufgaben'!C195))","v":0.2857142857142857},{"$f":"H975","v":-8},{"$f":"IF('mehr Aufgaben'!E195=0,2000,F981/'mehr Aufgaben'!E195)","v":2000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,"um was",-1,-1]
[null,null,null,null,null,{"$f":"F976","v":2},{"$f":"IF('mehr Aufgaben'!C196=I972,1000,F982/($I972-'mehr Aufgaben'!C196))","v":0.4},{"$f":"H976","v":2},{"$f":"IF('mehr Aufgaben'!E196=0,3000,F982/'mehr Aufgaben'!E196)","v":3000}]
[null,{"$f":"IF(G983=\"richtig\",1,0)+IF(I983=\"richtig\",1,0)","v":0},null,null,null,null,{"$f":"IF(G980=G974,\"ändern!\",IF((G980-G981)^2+(G981-G982)^2=0,\"richtig\",\"\"))","v":"ändern!"},null,{"$f":"IF(I974=I980,\"ändern!\",IF((I980-I981)^2+(I981-I982)^2=0,\"richtig\",\"\"))","v":"ändern!"}]
[]
[null,{"$f":"IF(G985<>\"\",1,0)","v":0},"c)",null,"Wie nennt man den ersten der beiden Vektoren?",{"$f":"\"Stützvektor\"","v":"Stützvektor"},{"$f":"IF(ISBLANK('mehr Aufgaben'!G198),\"\",IF('mehr Aufgaben'!G198=F985,\"stimmt!\"))","v":""}]
[null,null,null,null,null,"stützvektor"]
[null,{"$f":"IF(G987<>\"\",1,0)","v":0},null,null,"Wie nennt man den zweiten der beiden Vektoren?",{"$f":"\"Richtungsvektor\"","v":"Richtungsvektor"},{"$f":"IF(ISBLANK('mehr Aufgaben'!G200),\"\",IF('mehr Aufgaben'!G200=F987,\"stimmt!\"))","v":""}]
[null,null,null,null,null,"richtungsvektor"]
[null,null,"d)",null,{"$f":"\"Untersuche, ob R auf der Geraden g liegt: R(\"&K970&\";\"&K971&\";\"&K972&\")\"","v":"Untersuche, ob R auf der Geraden g liegt: R(-12;35;-11)"},null,null,null,null,null,null,null,null,null,{"$f":"'mehr Aufgaben'!C188&\"+t*\"&IF('mehr Aufgaben'!E188>=0,'mehr Aufgaben'!E188,\"(\"&'mehr Aufgaben'!E188&\")\")&\"=\"&F990","v":"+t*=-12"}]
[null,{"$f":"IF(G990<>\"\",1,0)","v":0},null,null,"Berechne t mit der \"oberen Gleichung\":",{"$f":"K970","v":-12},{"$f":"IF(ISBLANK('mehr Aufgaben'!G203),\"\",IF(('mehr Aufgaben'!G203-'mehr Aufgaben'!C188)/'mehr Aufgaben'!E188,\"stimmt!\",\"\"))","v":""}]
[null,{"$f":"IF(G991<>\"\",1,0)","v":0},null,null,"Passt das zur zweiten Gleichung?",35,{"$f":"IF(ISBLANK('mehr Aufgaben'!G204),\"\",IF('mehr Aufgaben'!G204=H991,\"stimmt!\",IF('mehr Aufgaben'!G204=I991,\"stimmt!\",\"\")))","v":""},{"$f":"IF(L971=0,\"Ja\",\"Nein\")","v":"Nein"},{"$f":"IF(L971=0,\"ja\",\"nein\")","v":"nein"}]
[null,{"$f":"IF(G992<>\"\",1,0)","v":0},null,null,"Passt das zur unteren Gleichung?",-11,{"$f":"IF(ISBLANK('mehr Aufgaben'!G205),\"\",IF('mehr Aufgaben'!G205=H992,\"stimmt!\",IF('mehr Aufgaben'!G205=I992,\"stimmt!\",\"\")))","v":""},{"$f":"IF(L972=0,\"Ja\",\"Nein\")","v":"Ja"},{"$f":"IF(L972=0,\"ja\",\"nein\")","v":"ja"}]
[null,{"$f":"IF(G993<>\"\",1,0)","v":0},null,null,"Liegt R auf der Geraden?",null,{"$f":"IF(ISBLANK('mehr Aufgaben'!G206),\"\",IF('mehr Aufgaben'!G206=H993,\"stimmt!\",IF('mehr Aufgaben'!G206=I993,\"stimmt!\",\"\")))","v":""},{"$f":"IF(L973=0,\"Ja\",\"Nein\")","v":"Nein"},{"$f":"IF(L973=0,\"ja\",\"nein\")","v":"nein"}]
[]
[]
[]
[null,null,"e)",null,"Berechne den Schnittpunkt von g mit der x2-x3-Achse (Spurpunkt)"]
[null,{"$f":"IF(I998<>\"\",1,0)","v":0},null,null,null,{"$f":"F970","v":0},{"$f":"F971","v":4},{"$f":"F972","v":-3},{"$f":"IF((F998-'mehr Aufgaben'!E209)^2+('mehr Aufgaben'!F209-hidden!G998)^2+(hidden!H998-'mehr Aufgaben'!G209)^2=0,\"Genau!\",\"\")","v":""}]
[]
[null,null,"f)",null,"Berechne den Schnittpunkt von g mit der x1-x3-Achse (Spurpunkt)"]
[null,{"$f":"IF(I1001<>\"\",1,0)","v":0},null,null,null,{"$f":"G970","v":3},0,{"$f":"G972","v":-4},{"$f":"IF((F1001-'mehr Aufgaben'!E212)^2+('mehr Aufgaben'!F212-hidden!G1001)^2+(hidden!H1001-'mehr Aufgaben'!G212)^2=0,\"Genau!\",\"\")","v":""}]
[]
[null,{"$f":"IF(H1003<>\"\",1,0)","v":0},"g)",null,"Gegeben sind die beiden Geraden h und k:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,null,{"$f":"F1011-$F$1009*H1004","v":8},null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,7)","v":3},null,null,{"$f":"F1011-$F$1010*M1004","v":6},null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,11)","v":-1},null,null,null,null,null,null,null,null,"Parameter für A",null,null,2,"a",0,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55]
[null,null,null,null,null,{"$f":"F1012-$F$1009*H1005","v":8},null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,8)","v":2},null,null,{"$f":"F1012-$F$1010*M1005","v":36},null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,12)","v":-8},null,null,null,null,null,null,null,null,"Spurpunkt",null,null,3,"s1",2,-3,3,-3,-2,5,1,7,-7,-5,-2,-8,-7,4,7,3,3,-3,4,-2,-6,-8,7,-1,2,6,-1,6,-2,-5,6,-4,1,-1,-3,7,8,-8,2,1,3,5,6,5,-8,1,5,1,8,8,6,8,6,5,{"$f":"RANDBETWEEN(1,8)*(-1)^RANDBETWEEN(0,1)","v":-6},4,4]
[null,null,null,null,null,{"$f":"F1013-$F$1009*H1006","v":-11},null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,9)","v":-4},null,null,{"$f":"F1013-$F$1010*M1006","v":-11},null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,13)","v":2},null,null,null,null,null,null,null,null,null,null,null,4,"s1",4,-3,-4,5,-7,-3,8,-3,8,-3,5,8,-5,-2,4,-7,-3,7,-5,6,-4,4,6,-8,-3,-8,-2,-2,4,7,3,-1,-1,-6,2,6,-1,5,3,3,7,-5,4,-5,6,-4,8,-5,-8,5,1,-7,3,2,7,4,-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"s1",-3,3,-4,5,-5,-6,-2,-3,-7,7,-3,6,-4,6,-1,5,-1,-4,4,-4,-7,-2,7,-4,2,2,5,-5,-3,5,1,-3,1,-4,-2,-2,-3,-2,1,7,7,6,5,-5,5,-5,4,3,3,-5,-3,-2,-7,-2,{"$f":"RANDBETWEEN(1,7)*(-1)^RANDBETWEEN(0,1)","v":-3},-4,-3]
[null,null,null,null,"Berechne die Parameter:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Parameter für B",null,null,6,"s1",2,6,5,4,-6,4,5,-3,4,4,-6,-2,-2,3,-4,-4,2,4,-5,-2,4,5,2,5,-2,-2,3,4,-3,-4,-5,4,3,-5,-5,6,-3,-5,-6,5,4,-2,-4,-5,-3,6,-2,-3,-5,-4,3,-6,-6,3,{"$f":"RANDBETWEEN(2,6)*(-1)^RANDBETWEEN(0,1)","v":-2},4,4]
[null,{"$f":"IF(G1009<>\"\",1,0)","v":0},null,null,"Parameter von h:",{"$f":"-HLOOKUP(ID,$AA$1003:$CB$1015,6)","v":-2},{"$f":"IF(ISBLANK('mehr Aufgaben'!G220),\"\",IF('mehr Aufgaben'!G220=F1009,\"stimmt!\"))","v":""},"ACHTUNG: VORZEICHENVERTAUSCHUNG",null,null,null,null,null,null,null,null,null,null,null,null,null,"Spurpunkt",null,null,7,"b1",3,-6,5,7,-7,4,-5,5,5,5,-5,7,-2,3,-4,-4,-5,5,-7,-3,2,7,5,-3,7,-2,-5,6,-4,-3,6,-3,-3,-3,-7,-4,-4,2,5,6,4,-5,4,-6,-3,-2,-4,6,-3,-5,-5,7,-5,3,{"$f":"RANDBETWEEN(2,7)*(-1)^RANDBETWEEN(0,1)","v":3},3,-5]
[null,{"$f":"IF(G1010<>\"\",1,0)","v":0},null,null,"Parameter von k:",{"$f":"-HLOOKUP(ID,$AA$1003:$CB$1015,10)","v":4},{"$f":"IF(ISBLANK('mehr Aufgaben'!G221),\"\",IF('mehr Aufgaben'!G221=F1010,\"stimmt!\"))","v":""},"ACHTUNG: VORZEICHENVERTAUSCHUNG",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"b2",2,-3,2,7,-2,5,7,4,-3,3,2,-6,-4,-5,3,3,-5,-2,4,-4,-6,-3,-6,-2,3,-4,-5,-3,-2,7,6,-5,6,-2,3,-2,-6,-2,3,2,-5,-2,-4,-3,-5,-4,-7,3,-6,-5,4,-3,-4,6,7,-2,-7]
[null,{"$f":"IF(G1011<>\"\",1,0)","v":0},null,null,"Schnittpunkt:",{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,3)","v":2},{"$f":"IF(ISBLANK('mehr Aufgaben'!G222),\"\",IF('mehr Aufgaben'!G222=F1011,\"stimmt!\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,"b3",-4,-3,3,-7,2,7,5,-5,-6,2,-6,-3,-3,-7,5,-6,-6,6,6,-5,-6,2,-6,5,5,5,-4,5,6,3,-6,-5,4,-2,-3,7,-5,-7,2,2,-3,2,2,4,7,2,7,2,-3,-7,6,6,-4,-4,-7,-3,6]
[null,{"$f":"IF(G1012<>\"\",1,0)","v":0},null,null,null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,4)","v":4},{"$f":"IF(ISBLANK('mehr Aufgaben'!H222),\"\",IF('mehr Aufgaben'!H222=F1012,\"stimmt!\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,"t",-4,-2,-2,3,-4,2,5,-4,6,-2,-2,4,-6,4,-3,-5,3,3,6,-4,-5,5,6,6,-3,6,-4,-2,5,-4,2,4,-5,5,2,-2,-4,-5,-3,3,5,-3,-5,-6,4,6,6,-6,5,2,2,-2,-6,-3,{"$f":"RANDBETWEEN(2,6)*(-1)^RANDBETWEEN(0,1)","v":5},2,-3]
[null,{"$f":"IF(G1013<>\"\",1,0)","v":0},null,null,null,{"$f":"HLOOKUP(ID,$AA$1003:$CB$1015,5)","v":-3},{"$f":"IF(ISBLANK('mehr Aufgaben'!I222),\"\",IF('mehr Aufgaben'!I222=F1013,\"stimmt!\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y1012+1","v":11},"c1",-1,-7,-6,-6,6,7,6,-5,-2,-5,5,7,6,5,-7,7,-5,-7,4,-7,-7,6,-7,7,6,-2,5,-3,-4,4,-5,2,7,5,-5,-5,-7,4,3,-4,-7,2,6,3,6,-2,5,6,-3,5,-7,7,-5,-2,{"$f":"RANDBETWEEN(2,7)*(-1)^RANDBETWEEN(0,1)","v":2},-4,-6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y1013+1","v":12},"c2",-8,-5,-5,2,-2,-6,-5,6,-5,-2,-7,5,2,4,-3,5,5,-4,-6,-6,4,-3,-2,5,-3,3,2,-6,7,4,3,-5,-4,-3,7,2,-5,5,-4,4,6,-6,2,-5,3,-4,-7,2,-3,6,-6,4,-3,3,-7,-6,7]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,"c3",2,2,-7,-3,6,-3,-7,-5,-2,-3,-7,7,-3,7,-6,3,-5,-7,-4,3,-7,4,-2,6,-3,-3,3,2,5,6,-5,6,-4,2,2,2,-6,7,2,-2,4,5,7,-3,4,6,-7,4,-4,6,-5,4,5,5,-3,-5,3]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"A961+1","v":5},null,null,null,{"$f":"\"Aufgabe \"&A1028&\" \"&E1029","v":"Aufgabe 5 (Skalarprodukt und Winkel in 2D)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(Skalarprodukt und Winkel in 2D)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"a"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"a1",2,-6,9,2,2,-8,-6,5,-9,10,1,-4,10,-6,5,-7,6,3,5,5,-7,9,6,-1,10,-7,6,10,0,5,5,11,2,-4,11,10,-10,4,2,-10,10,5,-8,11,-9,-6,4,-1,9,11,10,10,10,1,{"$f":"RANDBETWEEN(-10,11)","v":10},5,7]
[null,null,null,null,"Gegeben sind die folgende Vektoren:",null,null,null,null,"DIAGRAMM",null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"a2",4,2,4,-4,-1,-0.5,4,-2,4,4,-4,-1,-2,10,2,-0.1,-4,0.1,4,-1,1,-2,4,-4,-2,-0.5,-10,1,0.5,-2,2,-1,-1,-10,-10,2,-0.5,0.5,-10,0.5,1,4,-1,0.5,0.1,0.5,10,-4,-4,-0.5,-4,-10,1,-4,{"$f":"(IF(CC1032=6,0.1,0)+IF(CC1032=1,0.5,0)+IF(CC1032=2,1,0)+IF(CC1032=3,2,0)+IF(CC1032=4,4,0)+IF(CC1032=5,10,0))*(-1)^RANDBETWEEN(0,1)","v":-0.1},2,-0.1]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$1028:$CB$1045,3)","v":2},null,{"$f":"HLOOKUP(ID,$AA$1028:$CB$1045,7)","v":11},null,0,{"$f":"F1032","v":2},0,{"$f":"H1032","v":11},null,null,null,null,null,null,null,null,null,null,null,5,null,null,3,4,4,2,1,4,3,4,4,4,2,3,5,3,6,4,6,4,2,2,3,4,4,3,1,5,2,1,3,3,2,2,5,5,3,1,1,5,1,2,4,2,1,6,1,5,4,4,1,4,5,2,4,{"$f":"RANDBETWEEN(1,6)","v":6},3,6]
[null,null,null,null,"v=",{"$f":"HLOOKUP(ID,$AA$864:$CB$881,4)","v":4},"w=",{"$f":"HLOOKUP(ID,$AA$1028:$CB$1045,8)","v":-13},null,0,{"$f":"F1033","v":4},0,{"$f":"H1033","v":-13},null,null,null,null,null,null,null,null,null,null,null,6,"b"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,"b1",11,11,8,-1,6,0,-4,4,-15,12,-5,2,15,-5,-6,-14,-2,2,7,-12,14,7,-13,-9,-12,2,3,-15,5,-4,1,-9,-10,7,-9,5,8,-11,-4,-4,-5,-11,11,10,4,4,-4,0,-13,-2,-15,7,-10,8,{"$f":"RANDBETWEEN(-15,15)","v":-14},-1,-3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"b2",-13,-2,-2,-12,-5,10,-12,1,8,-1,-2,12,11,-3,15,-10,-8,2,-8,-3,-11,11,6,-8,-7,-4,7,8,-1,-15,13,10,10,-6,-2,4,5,-11,-6,15,3,7,-5,-1,-8,8,13,6,14,7,-5,3,-10,-2,-6,13,-2]
[null,{"$f":"IF(H1036<>\"\",1,0)","v":0},"a)",null,"Berechne das Skalarprodukt v*w",null,{"$f":"F1032*H1032+F1033*H1033","v":-30},{"$f":"IF(ISBLANK('mehr Aufgaben'!H236),\"\",IF('mehr Aufgaben'!H236=G1036,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,"c1",-13,6,7,-5,-11,0,-7,-15,-5,2,-10,2,-15,3,10,-3,-7,7,-12,12,10,6,7,-13,-15,-3,12,-12,-13,13,-9,3,0,14,9,-5,-7,-8,-1,-13,0,2,3,5,-2,7,-3,7,-8,12,0,1,7,15,{"$f":"RANDBETWEEN(-15,15)","v":-6},-12,-3]
[null,null,"b)",null,"Bestimme irgendeinen Vektor z, der senkrecht zu v steht.",null,{"$f":"-G1039","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y1037+1","v":11},"c2",-8,6,-8,-7,-3,4,-15,-10,-8,-8,12,-9,0,-11,14,14,7,-14,8,-12,6,14,-15,14,-9,-6,-12,-13,-4,-6,-6,-2,-13,-3,-2,9,4,-7,-11,-10,-6,-10,-10,-1,9,11,-7,-2,0,0,-3,-12,8,2,-2,3,-15]
[null,null,null,null,"(und nicht der Nullvektor ist!)",null,{"$f":"-G1040","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y1038+1","v":12},"c3",null,4]
[null,{"$f":"IF(H1040<>\"Das ist bisher der Nullvektor.\",1,0)","v":0},null,null,null,null,null,{"$f":"IF(('mehr Aufgaben'!H240)^2+('mehr Aufgaben'!H239)^2=0,\"Das ist bisher der Nullvektor.\",IF('mehr Aufgaben'!H239*F1032+'mehr Aufgaben'!H240*F1033=0,\"richtig!\",\"\"))","v":"Das ist bisher der Nullvektor."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,"d1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,"d2"]
[null,null,"c)",null,"Berechne k so, dass der Vektor u=",null,{"$f":"HLOOKUP(ID,$AA$1028:$CB$1045,10)","v":-13},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,"d3"]
[null,null,null,null,null,"k",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m1"]
[null,{"$f":"IF(H1044<>\"\",1,0)","v":0},null,null,"senkrecht zu v steht.",null,{"$f":"-G1042*F1032/F1033","v":6.5},{"$f":"IF(ISBLANK('mehr Aufgaben'!H244),\"\",IF('mehr Aufgaben'!F242*F1032+'mehr Aufgaben'!H244*F1033=0,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a1"]
[null,null,"d)",null,"Berechne den Winkel zwischen v und w "]
[null,{"$f":"IF(H1047<>\"\",1,0)","v":0},null,null,"auf eine Nachkommastelle genau.",null,{"$f":"ROUND(ACOS(G1036/((F1032^2+F1033^2)^0.5*(H1032^2+H1033^2)^0.5))*180/PI(),1)","v":113.2},{"$f":"IF(ISBLANK('mehr Aufgaben'!H247),\"\",IF('mehr Aufgaben'!H247=G1047,\"richtig!\",\"\"))","v":""}]
[]
[]
[]
[]
[{"$f":"A1028+1","v":6},null,null,null,{"$f":"\"Aufgabe \"&A1052&\" \"&E1053","v":"Aufgabe 6 (Skalarprodukt und Winkel in 3D)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]
[null,null,null,null,"(Skalarprodukt und Winkel in 3D)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"a"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"a1",2,10,-3,7,2,-6,-3,-8,6,-9,-8,-9,-7,-8,1,-8,-6,0,-5,-3,5,10,8,-8,-2,-9,-2,8,-1,5,4,2,-5,6,6,4,-7,9,-8,10,-3,6,-8,-1,3,7,2,-1,11,-1,10,3,-5,-1,{"$f":"RANDBETWEEN(-10,11)","v":8},-10,7]
[null,null,null,null,"Gegeben sind die folgende Vektoren:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"a2",4,1,-10,-0.1,-1,1,-0.5,4,1,-0.5,-4,4,-10,10,0.1,-1,-1,-0.5,-0.1,0.5,-10,-4,-1,-4,4,-4,4,0.1,10,0.1,-0.1,0.5,0.5,0.5,2,-2,0.5,4,-0.5,0.5,4,-1,1,0.5,-2,1,4,-2,4,-0.1,0.1,-2,-1,2,{"$f":"(IF(CC1057=6,0.1,0)+IF(CC1057=1,0.5,0)+IF(CC1057=2,1,0)+IF(CC1057=3,2,0)+IF(CC1057=4,4,0)+IF(CC1057=5,10,0))*(-1)^RANDBETWEEN(0,1)","v":-2},-0.1,10]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,3)","v":2},null,{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,7)","v":11},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"a3",-3,8,-5,-9,0,-8,-2,-7,7,0,-2,1,8,-1,6,-6,7,2,-5,-8,-9,6,7,-5,2,6,9,3,2,2,5,-2,7,6,1,4,-9,-7,6,0,2,-2,-6,3,-8,7,1,-9,-9,-2,3,-7,-8,0,{"$f":"RANDBETWEEN(-9,9)","v":8},-6,0]
[null,null,null,null,"v=",{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,4)","v":4},"w=",{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,8)","v":-13},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"b",1,2,5,6,2,2,1,4,2,1,4,4,5,5,6,2,2,1,6,1,5,4,2,4,4,4,4,6,5,6,6,1,1,1,3,3,1,4,1,1,4,2,2,1,3,2,4,3,4,6,6,3,2,3,{"$f":"RANDBETWEEN(1,6)","v":3},6,5]
[null,null,null,null,null,{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,5)","v":-3},null,{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,9)","v":6},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,"b1",11,-13,-4,-4,6,-13,8,13,-5,-5,-5,15,-8,-14,4,11,13,14,-3,-11,-11,-15,9,-1,12,12,-6,-9,15,13,-4,-6,15,9,11,-13,14,-10,-4,-1,2,-6,-3,6,2,-5,-4,11,6,0,8,-12,15,14,{"$f":"RANDBETWEEN(-15,15)","v":12},-13,-15]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"b2",-13,-12,-7,6,-14,1,12,-13,-4,-12,11,7,-4,8,3,-6,2,-5,9,2,-1,5,-9,-7,-10,-15,6,15,5,6,-15,8,11,4,5,-5,-5,12,-13,-3,10,8,9,-1,10,12,-9,-8,-6,-8,-5,-3,-12,10,{"$f":"RANDBETWEEN(-15,15)","v":-6},{"$f":"RANDBETWEEN(-15,15)","v":3},{"$f":"RANDBETWEEN(-15,15)","v":-15}]
[null,{"$f":"IF(H1060<>\"\",1,0)","v":0},"a)",null,"Berechne das Skalarprodukt v*w",null,{"$f":"F1056*H1056+F1057*H1057+F1058*H1058","v":-48},{"$f":"IF(ISBLANK('mehr Aufgaben'!H260),\"\",IF('mehr Aufgaben'!H260=G1060,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,"b3",6,-4,-5,-13,11,11,2,9,-9,3,11,5,-3,5,0,15,11,10,-10,3,-7,-13,1,15,-13,-1,9,6,-13,11,13,8,-3,0,-5,9,4,6,-8,-10,-11,-9,7,1,2,-13,-13,-15,3,0,-6,13,5,-8,-13,11,-8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,"c1",-6,-9,-6,3,9,1,4,-9,-7,7,7,-9,3,9,-3,3,-1,1,3,-6,8,-1,1,0,1,-5,-9,-7,-8,-7,-8,5,-9,-8,3,6,-1,5,4,0,-4,-8,2,2,-8,-3,3,-5,-2,-5,2,4,-8,-5,{"$f":"RANDBETWEEN(-9,9)","v":1},2,1]
[null,null,"b)",null,"Bestimme irgendeinen Vektor z, der senkrecht zu v steht.",null,{"$f":"-G1063","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y1061+1","v":11},"c2",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-2,12,-6,0,-11,3,7,-11,-7,2,8,-8,12,6,15,-9,13,-6,10,-10,0,8,9,1,-6,15,3,-8,-5,-13,0,-10,1,1,4,{"$f":"RANDBETWEEN(-15,15)","v":12},{"$f":"RANDBETWEEN(-15,15)","v":-3},{"$f":"RANDBETWEEN(-15,15)","v":-4}]
[null,null,null,null,"(und nicht der Nullvektor ist!)",null,{"$f":"-G1064","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y1062+1","v":12},"c3",-1,-5,1,5,2,-1,1,1,5,-2,4,1,-5,3,-4,-3,2,-3,1,-4,-1,0,-5,5,0,-1,3,1,-4,4,-5,1,-4,5,4,1,0,-3,2,2,-4,3,4,0,1,-3,-1,1,-3,-1,1,3,-5,3,{"$f":"RANDBETWEEN(-5,5)","v":0},3,-5]
[null,{"$f":"IF(H1064<>\"Das ist bisher der Nullvektor.\",1,0)","v":0},null,null,null,null,{"$f":"-G1065","v":0},{"$f":"IF(('mehr Aufgaben'!H264)^2+('mehr Aufgaben'!H263)^2+('mehr Aufgaben'!H265)^2=0,\"Das ist bisher der Nullvektor.\",IF('mehr Aufgaben'!H263*F1056+'mehr Aufgaben'!H264*F1057+'mehr Aufgaben'!H265*F1058=0,\"richtig!\",\"\"))","v":"Das ist bisher der Nullvektor."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,"d1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,"d2"]
[null,null,"c)",null,"Berechne k so, dass der Vektor",null,{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,10)","v":-6},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,"d3"]
[null,null,null,null,null,"k",{"$f":"-G1066*F1056-G1068*F1058/F1057","v":11.25},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m1"]
[null,{"$f":"IF(H1068<>\"\",1,0)","v":0},null,null,"senkrecht zu v steht.",null,{"$f":"HLOOKUP(ID,$AA$1052:$CB$1069,12)","v":-1},{"$f":"IF(ISBLANK('mehr Aufgaben'!H268),\"\",IF('mehr Aufgaben'!H268=hidden!G1067,\"richtig!\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a1"]
[null,null,"d)",null,"Berechne den Winkel zwischen v und w "]
[null,{"$f":"IF(H1071<>\"\",1,0)","v":0},null,null,"auf eine Nachkommastelle genau.",null,{"$f":"ROUND(ACOS(G1060/((F1056^2+F1057^2+F1058^2)^0.5*(H1056^2+H1057^2+H1058^2)^0.5))*180/PI(),1)","v":119.6},{"$f":"IF(ISBLANK('mehr Aufgaben'!H271),\"\",IF('mehr Aufgaben'!H271=G1071,\"richtig!\",\"\"))","v":""}]