3D Rechner Aufgaben 09.12.2024

Aufgabe 1
[br]Bevor Sie sich mit dem Schnitt von Ebenen im dreidimensionalen Raum auseinandersetzen können müssen wir uns zunächst einmal zusammen die Benutzeroberfläche des 3D Rechners von GeoGebra anschauen.[br][br]Erst einmal ist es wichtig zu wissen, wie man zu dem 3D Rechner gelangt. Hierzu gibt es zwei Möglichkeiten, welche jedoch nicht in diesem Applet durchgeführt werden können. Öffnen Sie hierfür einen neuen Tab und probieren Sie beide Möglichkeiten aus.[br][br]1. Bei jeder Einheit, die Sie in GeoGebra starten ist wie im folgenden Bild gezeigt[br] ein Dropdown Menü, in dem Sie zwischen den verschiedenen Rechnern wählen können.[br] Hier können Sie den 3D Rechner auswählen. [br][br][img]data:image/png;base64,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[/img][br][br][br]2. Eine andere Möglichkeit ist GeoGebra direkt als 3D Rechner im Browser zu öffnen.[br][br][img]data:image/png;base64,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[/img][br][br][br][br][br][br]
Aufgabe 2
[br]Jetzt möchte ich Ihnen zeigen, wie Sie sich in der Oberfläche am besten zurechtfinden. [br][br]1. Mit dem Werkzeug „Bewegen“ dessen Ikon eine Mauscursor ist, können Sie Ihre[br] Ansicht verändern. In dem Sie mit linksklick auf die Oberfläche drücken und den Linken[br] Mausbutton gedrückt halten können Sie das kartesische Koordinatensystem und[br] sein Inhalt drehen.[br][br]2. Wenn Sie den Mausbutton in der Bewegung loslassen, dreht sich das [br] Koordinatensystem und sein Inhalt weiter. Dies gibt oft eine schöne Animation,[br] die alle Seiten einer Figur zeigt.[br][br]3. Wenn Sie nicht immer das Werkzeug wechseln möchten, um sich zu bewegen [br] können Sie auch einfach den rechten Mausbutton benutzen, um das [br] Koordinatensystem zu bewegen. Zum Ausprobieren können Sie ein beliebiges [br] Werzeug anwählen und das Koordinatenkreuz ohne das Werkzeug zu wechseln [br] bewegen.[br]
Aufgabe 2
Aufgabe 3
[br]Ich werde Ihnen nun zeigen, wie man den Zoom richtig verwendet.[br]     [br]1. Der Zoom mit dem Mausrad verändert nicht die Ansicht,[br] sondern die Nummerierung des Koordinatensystems. Achten Sie darauf, dass wenn Sie[br] den Zoom mit dem Mausrad verwenden, sich Ihr Mauscursor auf dem Ursprung des[br] Koordinatensystems befindet. Der Zoom geht nämlich immer dorthin, wo sich Ihr[br] Mauscursor befindet. Da Sie sich nicht frei bewegen können ist es möglich, dass[br] Sie sich an Stellen „zoomen“ zu denen Sie nicht möchten und Ihre ganze Ansicht[br] zerstört ist. [br]   [br]2. Um die auf dem Bildschirm abgebildeten Ebenen[br] kleiner oder größer darzustellen, benutzen wir also nicht den Zoom. Hierfür ist[br] das Clipping zu benutzen. Wie der Name schon sagt, ist es mit dieser[br] Einstellung möglich zu bestimmen an welcher Stelle die Ebenen abgeschnitten[br] werden. Klicken Sie hierzu auf das Einstellungen Ikon (das Zahnrad oben rechts), [br] dann auf Einstellungen und scrollen Sie in den Grundeinstellungen ganz nach unten. [br]      [br]2.1. Setzen Sie zunächst kein Hacken bei „Clipping verwenden“ sondern [br] Probieren Sie bei „Clipping Box Größe“ alle Größen durch.[br] [br]2.2. Nun können Sie ausprobieren was passiert, wenn[br] Sie „Clipping Verwenden“ anklicken, am besten setzen Sie auch einen Hacken bei „Clipping[br] anzeigen“ da man nur dann wirklich sieht, was das Programm macht. [br][br]Sie können sich aussuchen welche Ansicht Sie am besten[br]finden, für das was Sie ihren Schülern beibringen möchten. Meiner Meinung nach[br]ist die Clipping Box zu verkleinern, ohne das Clipping überhaupt zu verwenden[br]am besten für die Ansicht, da hier beim Bewegen der Ebnen diese nie vom Rand[br]des Applets abgeschnitten werden.
Aufgabe 3
Aufgabe 4 (optional)
[br]Es besteht die Möglichkeit eine 3D-Brillen Ansicht in GeoGebra[br]zu auswählen. Diese kann jedoch Kopfschmerzen verursachen, deswegen ist das[br]Ausprobieren optional.[br][br]1. Klicken Sie auf das Einstellung Ikon und wählen[br] Sie bei „Projektion“, „Projektion für Brille“ aus.[br][br]2.  Um dies wieder Rückgängig zu machen, wählen Sie[br] wieder bei „Projektion“ diesmal „Orthogonal Projektionen".[br][br]Die weiteren Projektionen sind für das Betrachten von dreidimensionalen[br]Körpern hilfreich, für Ebnen jedoch uninteressant. Also sind sie nicht Thema dieses[br]Praktikums.
Aufgabe 4
Aufgabe 5
[br]Nun möchte ich Ihnen zeigen, wie Sie Punkte in Ihrem dreidimensionalen Koordinatensystem einzeichnen können. Dazu gibt es Zwei Möglichkeiten:[br][br][br]1. Klicken Sie auf den Algebra-Reiter in der Leiste links, um[br] das Eingabefenster zu öffnen.[br][br]1.1. Um einen Punkt zu erstellen, wählen Sie für die Eingabe einen[br] großen Buchstaben, „=“ und dann die Koordinaten des Punktes in Klammern. (Bsp.:[br] U=(1,1,1))[br][br]1.2. Wenn Sie stattdessen einen kleinen Buchstaben wählen, wird[br] statt einem Punkt ein Ortsvektor erstellt. (Bsp. e=(1,1,1))[br][br][br]2. Sie können einen Punkt auch mit dem Punktwerkzeug erstellen.[br] Dies ist um einiges komplizierter als in einem zweidimensionalen Raum. [br][br]2.1. Zuerst wählen sie die nur x,y-Koordinaten des Punktes in dem[br] Sie ihn auf der x,y-Ebene platzieren.[br][br]2.2. Dann können Sie den Punkt in z-Richtung verschieben. Fahren[br] Sie mit dem Mauscursor auf den Punkt, bis Sie Pfeile sehen, die nach oben und[br] unten zeigen (z-Richtung). Wenn Sie den Punkt nun mit der linken Maustaste[br] ziehen, können Sie ihn nur in z-Richtung ziehen. [br][br]2.3. Um den Punkt wieder in x,y-Richtung ziehen zu können klicken[br] Sie mit dem „Bewegen“-Werkzeug einmal auf den Punkt so das die Pfeile sich[br] ändern zu Pfeilen die nach links, rechts, hinten und vorne zeigen. Nochmal auf[br] den Punkt klicken und es kommen wieder die Pfeile nach oben und unten.  [br][br]2.4. Punkte, die Sie auf die Achsen setzten, lassen sich nur entlang dieser bewegen.[br]
Aufgabe 5
Aufgabe 6
[br]Um Ebenen zu erstellen, gibt es mehrere Möglichkeiten. Ich werde Ihnen zwei davon hier zeigen:[br][br]1. Die einfachste Weiße ist, wieder über den „Algebra“-Reiter[br] das Eingabefenster zu öffnen und eine Ebene in Koordinatenform in ein[br] Eingabefeld einzugeben. Auch wenn GeoGebra der Ebene automatisch einen Namen [br] gibt, ist es besser selbst einen zu wählen. Dafür eignen sich kleine Buchstaben.[br] (Bsp. p: 2x+3y+z=1)[br][br]2. Ebenfalls einfach ist es, mit dem Werkzeug „Ebene durch drei[br] Punkte“ ein Ebnen zu erstellen. Wie der Name schon sagt, kann man drei Punkte anwählen[br] und GeoGebra bildet eine Ebene durch diese drei Punkte. Man kann mit diesem[br] Werkzeug auch die Punkte direkt setzten. Dies kann gut dafür sein, wenn man die[br] Spurpunkte einer Ebene genau kennt. [br][br]Erstellen Sie nun zwei Ebenen mit jeweils einer dieser Möglichkeiten.[br]
Aufgabe 6
Aufgabe 7
[br]Wenn man in der Werkzeugleiste auf „Mehr“ drückt, kann man[br]noch weitere Werkzeuge zum Erstellen von Ebenen finden. Sie müssen in der[br]erweiterten Werkzeugleiste, soweit nach unten scrollen bis Sie die Überschrift[br]„Ebenen“ sehen. Hier finden Sie drei weitere Werkzeuge zum Ebenen erstellen:[br][br]1. „Ebene“ ist ein Werkzeug, um Ebenen zwischen zwei Objekten[br] zu bilden. Zum Beispiel zwischen zwei Geraden oder einer Geraden und einem Punkt.[br] Klicken Sie einfach mit dem Werkzeug die Objekte an, zwischen denen Sie die[br] Ebene bilden möchten.[br][br]2. Mit dem Werkzeug „Parallele Ebenen“ lässt sich eine Ebene[br] durch einen Punkt spannen die parallel zu einer gewählten Ebene ist.[br][br]3. Das Werkzeug „Normalebene“ lässt eine Ebene durch einen Punkt[br] spannen die von einer gewählten Geraden senkrecht geschnitten wird.   [br][br]Probieren Sie die gelernten Werkzeuge am Applet aus. Sie[br]können die bereits eingezeichneten Geraden, die Ebene und den Punkt verwenden. Sie sollten[br]vier Ebenen erstellen.
Aufgabe 7
Aufgabe 8
[br]Um den Schnitt von Ebnen zu berechnen, gibt es kein Werkzeug.[br]Sie müssen die Eingabeleiste verwenden. Geben Sie den Befehl „Schnittpunkt“ in[br]ein Eingabefeld ein und wählen Sie die Option „Schnittpunkt (Objekt, Objekt)“. [br][br]Bitte beachten Sie, immer eine einfache zu Schreibende Beschriftung[br]für Ihre Ebenen wählen (z.B. p: …). Die Standardbeschriftung von GeoGebra für[br]Ebenen ist nicht geeignet, da sie sich nicht einfach mit einer normalen Tastatur[br]schreiben lässt und somit ungeeignet für die Befehle in der Eingabeleiste ist.[br][br]1. Um die Schnittgerade von zwei Ebenen zu berechnen, benutzen Sie[br] den Befehl „Schnittpunkt“ wie oben beschrieben. Schreiben Sie die Beschriftung[br] der sich schneidenden Ebenen in die Klammern.[br][br]2. Der Befehl „Schnittpunkt“ lässt nur zu, den Schnitt von zwei[br] Objekten zu bestimmen. Deswegen müssen Sie, um den Schnittpunkt von drei Ebenen[br] zu bestimmen, zuerst die Schnittgerade von zwei der Ebenen wie oben beschrieben[br] berechnen. Dann können Sie mit dem gleichen Befehl „Schnittpunkt“ den[br] Schnittpunkt der Schnittgerade und der übrigen Ebene und somit den Schnitt[br] aller drei Ebnen bestimmen. Tragen Sie hierfür den von GeoGebra gewählten Namen[br] der Schnittgeraden und den Namen der übrigen Ebene in die Klammern ein.[br][br]Bestimmen Sie nun den Schnittpunkt der folgenden drei Ebenen.
Aufgabe 8
Aufgabe 9
[br]Nun können Sie kreativ werden und eine Aufgabe für Schüler in[br]der Kursstufe erstellen, welche das Thema lineare Gleichungssysteme veranschaulichen[br]kann.
Aufgabe 9

Information: 3D Rechner Aufgaben 09.12.2024