[list][*][b]Ursprungsgeraden [/b]sind Graphen linearer Funktionen, die [b]durch den Ursprung O(0|0) verlaufen[/b].[/*][*][b]Ursprungsgeraden [/b]haben eine Gleichung der Form [b]y = mx[/b].[/*][/list][br][list][*]m steht für die Steigung der Geraden. ([math]m\in\mathbb{Q}[/math])[/*][/list][br]
Welche Gerade ist eine [b]Ursprungsgerade [/b]mit der Steigung [b]m = 3[/b]?[br][br][img]data:image/png;base64,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[/img]
Bewege den [color=#ff00ff][b]Schieberegler [/b][/color]und stelle eine [b]negative Steigung[/b] ein. Beobachte die Lage der Geraden.
Kreuze richtigen Aussagen an.
Bewege die Punkte [b][color=#0000ff]A[/color][/b] und [color=#0000ff][b]B[/b][/color] so, dass die Gerade g die Gleichung [math]y=-1,5x[/math] besitzt.
[list][*]Zeichne die Geraden in dein Heft in ein Koordinatensystem.[/*][*]Verwende verschiedene Farben.[/*][*]Überprüfe mit dem Grafikrechner.[br][/*][/list][br]a) Gerade a mit der Gleichung [math]y=0,5x[/math][br]b) Gerade b mit der Gleichung [math]y=2x[/math][br]c) Gerade c mit der Gleichung [math]y=-3x[/math][br]d) Gerade d mit der Gleichung [math]y=\frac{4}{5}x[/math][br]e) Gerade e mit der Gleichung [math]y=-\frac{1}{3}x[/math][br] [br] [br] [br]