Einführung

Zunächst musst du dich mit der Bedienung von GeoGebra vertraut machen.[br][br]Schaue dir dazu die folgenden Seiten genau an. Lies jeweils den einführenden Text und bearbeite die darin enthaltenen Aufgaben.[br][br]Am unteren Rand findest du Links, mit denen du zurück oder zur nächsten Seite weitergehen kannst. Eventuell musst du dazu das Bild nach unten scrollen.[br][br]Viel Spaß beim Erkunden von GeoGebra.[br]

Grundkonstruktion Symmetrieachse

Du siehst in der Zeichnung zwei Punkte A und B.[br][br][color=#980000][b]Aufgabe 1[/b][/color][br]Konstruiere die Symmetrieachse zu den beiden Punkten.[br][br]Falls du nicht selbst auf die Lösung kommst, dann findest du auf der nächsten Seite einige Tipps.[br][br][color=#980000][b]Aufgabe 2[/b][/color][br]Ändere die Farbe der Symmetrieachse auf rot. [br]Kannst du sie auch mit "a" beschriften?

Mittelsenkrechte

[color=rgb(51, 51, 51)][color=#980000][b]Aufgabe 1[/b][/color][br]Du sollst die Mittelsenkrechte der Strecke PQ nur mit den Werkzeugen [i]Kreis[/i], [i]Zirkel[/i], [i]Schnittpunkt [/i]und [i]Gerade [/i]konstruieren.[br][br]Auf der nächsten Seite bekommst du Tipps, wenn du nicht weiterkommst.[br][br][color=#980000][b]Aufgabe 2[/b][/color][br]Beschrifte die Mittelsenkrechte mit m[sub]PQ[/sub] und zeichne sie rot ein.[br][i]Hinweise [/i][br][/color][list][*][color=rgb(51, 51, 51)]Du kannst bei der Beschriftung ein Zeichen tiefstellen, wenn du den Unterstrich _ vor das Zeichen setzt.[/color][/*][*][color=rgb(51, 51, 51)]Mehrere Zeichen stellst du tief, wenn du sie in geschweifte Klammern { } setzt und vor die Klammer den Unterstrich setzt.[br][/color][/*][/list]

Koordinatensystem

Du kannst in GeoGebra selbstverständlich auch mit einem Koordinatensystem arbeiten.[br]Wie bei allen anderen Zeichnungen kannst du Punkte, Gerade, Kreise usw. an eine beliebige Stelle des Koordiantensystems setzen.[br][br]Punkte werden automatisch vom Koordinatengitter "gefangen". Sobald du in die Nähe von ganzzahligen Koordinatenwerten kommst, wird der Punkt auf diese Kreuzung gezogen.[br][br]Die Koordinaten von Punkten kannst du dir anzeigen lassen. Klicke dazu im [i]Bewegung[/i]-Modus auf den Punkt und wähle im Menü 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auf die Schaltfläche 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für die Beschriftung. Wähle dann in der dritten Zeile [i]Wert 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[/img][br]Neben dem Namen des Punktes siehst du dann seine Koordinaten. Wenn die Koordinaten des Punktes richtig sind, kannst du diese Einstellung wieder rückgängig machen.[br][br][color=#980000][b]Aufgabe 1[/b][/color][br]Zeichne in das Koordinatensystem die Punkte A(-1 | 2), B(4 | -1), C(5 | 5) ein. Verbinde sie zum Dreieck ABC.[br][color=#980000][b][br]Aufgabe 2[/b][/color][br]Lass' dir die Koordinaten der drei Punkte anzeigen.[br]

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