3-dimensionale Koordinaten

Ein 3-dimensionales Koordinatensystem hat 3 Achsen:[br][list][*]die x-Achse[/*][*]die y-Achse[/*][*]und die z-Achse[/*][/list]In vielen Büchern lauten die Namen für die Achsen auch[br][list][*][math]x_1[/math]-Achse[/*][*][math]x_2[/math]-Achse[/*][*][math]x_3[/math]-Achse[/*][/list]Die x-Achse (oder x_1-Achse) zeichnet man unter einem Winkel von 45° nach schräg links vorne.[br]Die Skalierung auf der x-Achse stellt man mit dem Faktor \sqrt{\frac{1}{2}} verkürzt dar.[br]Wenn sie "Kästchenpapier" verwenden und Sie für die horizontale y-Achse und die vertikale z-Achse zwei Kästchen als eine Einheit verwenden, dann entspricht der Abstand zwischen den Skalenstrichen genau der Diagonale eines Kästchens.[br][img]data:image/png;base64,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[/img]
So zeichnet man ein 3-dimensionales Koordinatensystem ins Heft
Das 3-dimensionale Koordinatensystem
Bisher kennen Sie nur 2-dimensionale Koordinatensystem mit x- und y-Koordinaten.[br]Punkte und geometrische Figuren im dreidimensionalen[br]Anschauungsraum werden im [b]kartesischen Koordinatensystem[/b] dargestellt.[br]Der Name "kartesisch" leitet sich vom Namen des französischen Mathematikers und Philosophen René Descartes ab.[br]Kartesische Koordinatensystem sind [b]rechtshändisch[/b].[br][img]data:image/png;base64,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[/img]
3-dimensionale Punkte
Sie können die Koordinaten des Punktes P mit den Schiebereglern [math]x_P,y_P[/math] und [math]z_P[/math] verändern.[br]Schauen Sie sich an, wie der Punkt P zustande kommt.

Information: 3-dimensionale Koordinaten