3. Die Winkelhalbierende

1. Die Winkelhalbierende kennen lernen
1. Untersuche die Winkel. Ziehe dazu am Punkt C. Wie verändern sich die Winkel?[br]2. Wie teilt die rote Linie den Winkel Alpha?
2. Die Winkelhalbierende von GeoGebra zeichnen lassen
[list=1][*]Zeichne einen Strahl durch zwei Punkte. [img width=37,height=39]data:image/png;base64,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[/img][/*][*][size=100]Zeichne einen zweiten Strahl mit gleichem Anfangspunkt. [img width=37,height=39]data:image/png;base64,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[/img][/size][/*][*][size=100]Miss die Winkelweite des entstandenen Winkels.[img width=36,height=37]data:image/png;base64,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[/img][/size][/*][*][size=100]Zeichne die Winkelhalbierende durch die drei Punkte ein.[/size][img width=38,height=37]data:image/png;base64,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[/img][/*][*][size=100]Miss die Winkelweite der halbierten Winkel.[/size][img width=36,height=37]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAlCAYAAAAqXEs9AAAAAXNSR0IArs4c6QAABBpJREFUWEftmG1MU1cYx3+Xt7DQSAYk8GUyXj4sy0QzBPUDDNmETRQUDRkzBTWjbJEK7MXExBhm5jABk5VQhSiKSDQhBkkksmzZsu0LGL7IJEQ2XjpeKrglxLAsbNCe5dwWigj2hRb8sJO0uW3Pvc+vz/M///Pcq/CCDUXyjIyMiKCgIBRF/bgmY3Z2FvkKDw9Hxg4ODlaDq29CCLEmFEuCSKDR0VEiIyPRaDTrDyT5rFYrY2NjREdHvxhAEmpoaIi4uDhvAMlKz+tu8bF7AhgcHCQ+Pt4bQEsCe8jkM6Di4s/o7PyOzMwcqqrOuJwmnwB9rPucuku7gF0oNGOoeYJeX+ISlE+AEhIS6H1wH5t/CBI27aTnl5+RhuLM3nwCpC85Qa1xMyj5KNRx/vws5eWl65UhQVpKOnv3ZVFf34pOd5DyslL8A/zXEsixpDIz3uXixQvExsW6BLB0kldKJnGE1UrBocOUlB1j+7ZtHsHIk1YFZMuLkLrl6JEi3s/PIyMzw2OYVQOpJCh8WHiU3dl7yD2QuyoYLwDByYLDvHanncKpPxdgBAJlYRuxfa2iu7DuPSrZvIQvV3zBRE8Pp/IOQo0BOu/Zc6bu3VBZCVevwSefQlQUIifbaZ/lMVB7wxV+arlF9dkztj216TokbkUUaB25yf8Abt6A/bmIa40oGzYsAl6+uh4BdRiNtF2/Qb3R4KiHdQ60hdDfb48koKAQmpqgqAhxvBRl0xtONeYykMViwU/x48eGBoznqrnV0vzsxW+2QMY7kGFbaaKsHOXhQ0hKhPEJuHLZO0BhYRuZmkqW7ROvvzxC77cdNtEubbv7BxADv6KcPi1bYcccu5hd0LRzH+ru7iY5uQs4Zm/AtvJPZy2BgYFP80ilj5vhh+/B8LU9E4uJhX1zff7Ng5OSCbq67rFjx32g2B4kiY/Sw9izPYn09HReCg11ZOrRBNxph/o6p6VZaYJLGoqKimdyMgUwU1HxFrq8/fT9NsClk6cYt8yRFhuDLu8Ar8ia/PU36Oezqd7FqEvdUa7nt5IuAcm1OmeZUzMR4B+wYHSqcC1WrFbBuaws6h70Er0xmi+/OsvOt9Ns8+xAra1tVFfVU1tbyZuJW1bMoGtAizx4qZLnXXk+sPTku3c7qK0x8vjxH2Tn7MVkesTVxjigDDhC2+18cva9tyyUm0DuSMNWGhkgNTUVs/l3UPxBTKLVnqBJ+tMyw4dADs/M2p3NNx01COVVFNGMwfAE/XGps2eHz4FkyNm5f9myOYW+vj602kM0Nl7Az89v/YDcKfSaZOh/IHcy4GyuyWQiJibGcW9vsVjESoJzdrHV/C59bHh4mIiICEJDQx1AZrNZaDQa1e7X4imaBJmZmWF6elqCEBIS8vQTtNX8S2+f+x+uGCdEfqsgBgAAAABJRU5ErkJggg==[/img][/*][/list][size=100][br][/size]
3. Eigenschaften der Winkelhalbierenden kennenlernen
Alle Punkte, die von beiden Schenkeln eines Winkels den gleichen Abstand haben, liegen auf ...
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Information: 3. Die Winkelhalbierende