Im Applet siehst du 5 Punkte A, B, C, D, E.[br]Punkte werden mit Großbuchstaben bezeichnet.[br]Die Gerade g geht durch die Punkte A und B.[br]Linien werden mit Kleinbuchstaben bezeichnet.[br]Du kannst die normale und parallele Geraden anzeigen lassen.[br]Du kannst den Punkt A verschieben und die Auswirkungen beobachten.[br][br][color=#980000][b]Arbeitsauftrag:[/b] [/color][br]Zeichne in der nächsten App eine Gerade durch A und B! [icon]/images/ggb/toolbar/mode_join.png[/icon][br]Zeichne Normale auf diese Gerade durch die gegebenen Punkte! [icon]/images/ggb/toolbar/mode_orthogonal.png[/icon] [br]Zeichne Parallele auf diese Gerade durch die gegebenen Punkte! [icon]/images/ggb/toolbar/mode_parallel.png[/icon]
[b][color=#980000]Arbeitsauftrag:[/color][/b][br]Die Grafik zeigt 5 Geraden und ihre Schnittpunkte.[br][br][img]data:image/png;base64,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[/img]