3D-Koordinatensystem

Ein [u]dreidimensionales Koordinatensystem[/u] wird verwendet, um [br][list][*][b][color=#0000ff]Punkte im Raum zu lokalisieren[/color][/b] oder um [/*][*][color=#ff0000][b]Körper [/b](=dreidimensionale Objekte)[b] zu beschreiben[/b][/color]. 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[/img][br][br][list=1][*][b][color=#0000ff]Punkte im Raum lokalisieren[/color][/b]: [br]Ein dreidimensionales Koordinatensystem hilft uns dabei, genau zu bestimmen, wo sich Dinge im Raum befinden. Es ist wie ein unsichtbares Gitter, das uns sagt, wie weit vorne, hinten, oben, unten, rechts oder links etwas ist.[br][br][/*][*][b][color=#ff0000]Körper beschreiben[/color][/b]:[br]Körper haben nicht nur Länge und Breite, sondern auch Höhe. Ein dreidimensionales Koordinatensystem kann den Punkten des Körpers eine Position im Raum zuweisen.[br][/*][/list]
Aufgabe 1
In das dreidimensionale Koordinatensystem ist ein Würfel ABCDEFGH eingezeichnet. Die Kantenlänge des Würfels ist 1 LE. Die Koordinaten des Punktes A schreibt man so: [b]A(1|0|0)[/b][br][br]Gib die Koordinaten des Eckpunktes G an.
Gib die Koordinaten des Punktes G an.
Aufgabe 2
Das Rechteck ABCD ist die Grundfläche der Pyramide ABCDS mit der Höhe [math]|\overline{AS}|=4\,LE[/math].[br]Es gilt: A(2|–1|0), B(2|2|0), C(–2|2|0)
a) Gib die Seitenlängen des Rechtecks ABCD an.
b) Gib die Koordinaten der Spitze S an.
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Information: 3D-Koordinatensystem