Tangentengleichung & Steigungswinkel

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[u]Arbeitsauftrag:[/u] Bearbeiten Sie den GeoGebra-Classroom.[br]Notieren Sie währenddessen alle [b][color=#1e84cc]Rechenschritte [/color][/b]auf dem [b][color=#1e84cc]AB[/color][/b] und füllen Sie die Lücken im [color=#1e84cc][b]Merkkasten[/b][/color] auf dem AB aus. [br]Alle [color=#1e84cc][b]blau[/b][/color] markierten [b][color=#1e84cc]Lösungsschritte[/color][/b] inklusive [b][color=#1e84cc]Rechnungen[/color][/b] sollen also auf das [color=#1e84cc][b]AB[/b][/color] übertragen werden.
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Tangentengleichung
Um die Tangentengleichung [math]y=m\cdot x+t[/math] der Funktion [math]f[/math] mit [math]f\left(x\right)=0,5x^2-4,2x+9,1[/math] im Punkt [math]P\left(3|1\right)[/math] aufzustellen, [br]geht man schrittweise vor.[br][br]Hierfür muss daher jeweils der Wert für [math]m[/math] und [math]t[/math] herausgefunden werden.[br][br][u]1. Schritt:[/u] [math]m[/math] gibt bekannterweise die Steigung an der betrachteten Stelle [math]x_0[/math] an.[br]Um die Tangentensteigung [math]m[/math] zu berechnen, benötigt man ...
Bestimmen Sie die [color=#1e84cc][b]Ableitungsfunktion[/b][/color] der Funktion [math]f[/math] mit [math]f\left(x\right)=0,5x^2-4,2x+9,1[/math]:
Berechnen Sie die [b][color=#1e84cc]Steigung von [/color][/b][math]f[/math][b][color=#1e84cc] im Punkt [/color][/b][math]P\left(3|1\right)[/math]:
Die Tangentengleichung ist also von der Form [math]y=-1,2\cdot x+t[/math]. [br][br][u]2. Schritt:[/u] Um den [math]y[/math]-Achsenabschnitt [math]t[/math] zu berechnen, setzt man ... in die Tangentengleichung ein.
Berechnen Sie durch [color=#1e84cc][b]Einsetzen[/b][/color] den [color=#1e84cc][b]Wert für [/b][/color][math]t[/math].[br][br]
Lesen Sie graphisch möglichst exakt die Koordinaten des [color=#1e84cc][b]Aufprallpunktes[/b][/color] [math]B[/math] des Autos auf die Baumreihe ab [br]und geben Sie die [color=#1e84cc][b]Koordinaten von [/b][/color][math]B[/math] an.
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Steigungswinkel
Um die Größe des Steigungswinkels bzw. des Aufprallwinkels zu berechnen, [br]betrachtet man das rechtwinklige Steigungsdreieck. 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[/img][br][br]Die Größe des Steigungswinkels [math]\alpha[/math] lässt sich mithilfe des ... berechnen.
Für den Tangens im rechtwinkligen Dreieck gilt bekanntlich [math]tan\left(\text{\alpha}\right)=\frac{Gegenkathete}{Ankathete}[/math]. 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[/img][br][br]Angewendet auf das Steigungsdreieck im Punkt [math]P\left(x_0\mid y_0\right)[/math] gilt also: [math]tan\left(\alpha\right)=[/math]...
Durch [math][/math][math]\frac{\bigtriangleup y}{\bigtriangleup x}[/math] lässt sich auch .... an der betrachteten Stelle [math]x_0[/math] berechnen.
Für den Tangens folgt also: [math]tan\left(\alpha\right)=[/math]...
Berechnen Sie mithilfe des [color=#1e84cc][b]Tangens die Größe des Steigungswinkels [/b][/color][math]\alpha[/math].[br][br]
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Für Schnelle
Erklären Sie die mathematische Bedeutung eines negativen Steigungswinkels.
Für Schnelle
Berechnen Sie die exakten Koordinaten des Aufprallpunktes [math]B[/math] des Autos auf die Baumreihe.[br]Nutzen Sie den angegebenen Maßstab, um der Polizei möglichst genau den Aufprallpunkt mitzuteilen.
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Information: Tangentengleichung & Steigungswinkel