Wo liegen alle Punkte im Abstand von ...? (1a)

Wo könnte ein Punkt liegen, der von P den Abstand 2,5 Einheiten hat?
In der Mitte ist der Punkt [math]P[/math] gegeben. Die Entfernung von Punkt [math]P[/math] zu Punkt [math]A[/math] beträgt 2,5 Längeneinheiten.[br][br][list][*]Ordne die anderen Punkte so um P an, dass sie den gleichen Abstand zu P haben wie A.[/*][/list][list][*]Stelle dir vor, du könntest noch mehr Punkte zeichnen, die alle von dem Punkt P den Abstand 2,5 haben. [i]Wie würde das Bild aussehen? Wo würden die ganzen Punkte liegen?[/i][br][/*][/list]

1 Einstieg: Der verlorene Grenzstein

Schon während der österreich-ungarischen Monarchie war der Ort Reichenau an der Rax als Nobelkurort bekannt. Nahe bei Reichenau liegt die Ortschaft Payerbach. Damals lagen die Grundsteine G1, G2, G3 und G4 so, dass sie genau gleich weit von Reichenau und Payerbach entfernt waren.[br][br][b]1. Verschiebe die vier Grenzsteine so, [/b]wie sie zur Zeit der österreich-ungarischen Monarchie gelegen haben könnten.
Was stellst du fest?
Alle Punkte, die von A und B den gleichen Abstand haben, liegen...
Die Mittelsenkrechte
[b]2. [/b]Suche in der [b]Werkzeugleiste des Geogebra-Applets [/b]nach dem Befehl [b]"Mittelsenkrechte"[/b] [icon]/images/ggb/toolbar/mode_linebisector.png[/icon][br][b]3. Konstruiere die Mittelsenkrechte [/b]der beiden Punkte Reichenau und Payerbach.[br][br]Wenn du alles richtig gemacht hast, liegen die vier Grenzsteine auf der Mittelsenkrechten.

1. Einstieg

Wo sollte der Torwart idealerweise stehen, um die größtmögliche Chance zu haben, ein Tor des Schützen zu verhindern? [br][list][*]Zeichne seine Position ein (als Punkt).[/*][/list]Warum ist es für den Torwart ggf. sinnvoll herauszukommen?[list][*]Zeichne einen möglichen Laufweg des Torwarts ein (als Strecke).[/*][/list]
Auf diesem Blatt lernst du die Winkelhalbierende kennen. Doch bevor es soweit ist, eine kurze Wiederholung zu Winkeln.
Lösung Torwart:
[br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][br][img 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[/img]

1. Dreieck mit Geogebra konstruieren

Konstruiere im unten stehenden Applet ein Dreieck [icon]/images/ggb/toolbar/mode_polygon.png[/icon].
Wie werden beim obigen Dreieck die Eckpunkte bezeichnet?
Wie werden beim obigen Dreieck die Seitenlängen bezeichnet?
Gegenüber vom Eckpunkt...

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