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Zuletzt geändert von Martin Stern am 2026/02/27 13:45
Von Version 67.1
bearbeitet von kbach
am 2026/02/27 12:06
Änderungskommentar: Neues Bild ParameterBestimmen.svg hochladen
Auf Version 44.1
bearbeitet von Nila Nurschams
am 2026/02/26 17:18
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

Seiteneigenschaften
Dokument-Autor
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1 -XWiki.kbach
1 +XWiki.nilanurschams
Inhalt
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69 69  [[image:Slalom.svg||style="width:500px;margin:auto"]]
70 70  {{/aufgabe}}
71 71  
72 -{{aufgabe id="Wer hilft Theo?" afb="II" kompetenzen="K1, K4, K5" quelle="Karolina Bach, Edyta Rethfeldt, Nila Nurschams" zeit="20" tags=""}}
73 -Gegeben ist der folgende Graph einer ganzrationalen Funktion 4. Grades.
74 -
75 - [[image:Theos_Problem.svg||style="width:500px;margin:auto"]]
76 -
77 -Theo möchte zu diesem Graphen einen Funktionsterm bestimmen.
72 +{{aufgabe id="Fehlende Eigenschaft finden" afb="" kompetenzen="" quelle="Karolina Bach, Edyta Rethfeldt, Nila Nurschams" zeit="" tags=""}}
73 +Gegeben ist das folgende Schaubild einer ganzrationalen Funktion 4. Grades.
74 +[[image:Theos_Problem.svg]]
75 + Theo möchte zu diesem Graphen einen Funktionsterm bestimmen.
78 78  Er wählt den allgemeinen Ansatz
79 -
80 80   {{formula}}f(x)=ax^4+bx^3+cx^2+dx+e{{/formula}}
81 -
82 -und stellt folgendes lineares Gleichungssystem auf:
83 -
78 + und stellt folgendes lineares Gleichungssystem auf:
84 84  {{formula}}\left(\begin{array}{ccccc|c}
85 85   0 &0 &0&0&1&1\\
86 86   1 &1 &1&1&1&3\\
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88 88   4 &3 &2&1&0&0
89 89  \end{array}\right)
90 90   {{/formula}}
91 -
92 -Er kommt mit seiner Rechnung leider nicht zum Ziel. Erläutere eine mögliche Hilfestellung, damit das Gleichungssystem eine Lösung hat.
93 -
94 94  {{/aufgabe}}
87 +Er kommt mit seiner Rechnung leider nicht voran.
95 95  
96 -{{aufgabe id="Zusammengesetzte Funktion" afb="II" kompetenzen="K4,K5" quelle="Holger Engels, Karolina Bach, Edyta Rethfeldt" zeit="" cc="by-sa" tags=""}}
97 -Bestimme die Funktionsgleichung für die dargestellte zusammengesetzte Funktion.
89 +Beurteile, ob alle erkennbaren Eigenschaften berücksichtigt wurden. Löse die Aufgabe mit dem korrigierten Ansatz.
90 +{{aufgabe id="Zusammengesetzte Funktion" afb="I" kompetenzen="K2,K4,K5" quelle="Holger Engels, Karolina Bach, Edyta Rethfeldt, Nila Nurschams" zeit="" cc="by-sa" tags=""}}
91 +Entwurf!!
92 +Stelle den Funktionsterm für die dargestellte zusammengesetzte Funktion auf.
98 98  [[image:Sinus verknüpft.svg||style="width:500px;margin:auto"]]
99 99  {{/aufgabe}}
100 100  
101 -{{aufgabe id="Parameter bestimmen" afb="II" kompetenzen="K5" quelle="Karolina Bach" zeit="8"}}
102 -Gegeben ist die Funktion //f// mit der Funktionsgleichung {{formula}}f(x)=a e^{kx}(x-c){{/formula}}, welche die Koordinatenachsen in {{formula}}S_{x}(-2|0){{/formula}} und {{formula}}S_{y}(0|6){{/formula}} schneidet und durch den Punkt {{formula}}P(1|1){{/formula}} verläuft. Bestimme die Parameter a,k und c.
103 -{{/aufgabe}}
104 -
105 -{{seitenreflexion bildungsplan="5" kompetenzen="4" anforderungsbereiche="5" kriterien="4" menge="5"/}}
96 +{{seitenreflexion/}}
ParameterBestimmen.ggb
Author
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Inhalt
ParameterBestimmen.svg
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Theos_Problem.svg
Author
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1 -XWiki.nilanurschams
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