Eine Ebene ist ein flaches zweidimensionales Objekt.[br]In der 3D-Ansicht in Geogebra kann man eine Ebene durch das Werkzeug [img]data:image/png;base64,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[/img]zeichnen. Es gibt 4 Werkzeuge dazu:[br]1) [img]data:image/png;base64,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[/img] zeichnet 3 Punkte und dadurch wird eine Ebene erzeugt.[br][br]2) [img]data:image/png;base64,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[/img] Wähle bereits gegebene Punkte aus, um eine Ebene zu erzeugen.[br][br]3)[img]data:image/png;base64,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[/img] "Normalebene": Wähle einen Punkt und eine senkrechte Gerade[br][br]4) [img]data:image/png;base64,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[/img]"Parallele Ebene": Wähle einen Punkt und eine parallele Ebene (z.B X-Y Ebene)[br]

Zeichne eine Ebene durch die Punkten A, B, C

Zeichen eine Ebene durch den Punkt A, die parallel zur Ebene E ist

Wir können Figuren in 3D an Ebenen spiegeln. Das geht durch den Werkzeug [img]data:image/png;base64,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[/img][br][br][b]Probiere aus:[br][/b]1) Spiegle die Kugel an der blauen Ebene [br]2) Überlege: Was ist der Unterschied zwischen der ursprünglichen Kugel und der gespiegelten Kugel?[br]