Satz des Thales: Unterschied zwischen den Versionen

Aus Geometrie-Wiki
Wechseln zu: Navigation, Suche
(Test)
(Sehnen verschieben)
Zeile 17: Zeile 17:
 
<ggb_applet width="1280" height="871"  version="3.2" ggbBase64="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" framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" />
 
<ggb_applet width="1280" height="871"  version="3.2" ggbBase64="UEsDBBQACAAIABh86TwAAAAAAAAAAAAAAAAMAAAAZ2VvZ2VicmEueG1s5VnNcts2ED43T4HhoaeaBv/JqZSM7FwykyadyE1meulAJCShpkgFBG1Jz9MXaPIIveeZugBIihQVOVLsNm51obgAF4v99ttdkINnq0WKbigvWJ4NDcvEBqJZnCcsmw2NUkzPQuPZ0yeDGc1ndMIJmuZ8QcTQcEzbkPKSPX3y3aCY57eIpGrKW0Zvh8aUpAU1ULHklCTFnFLRkZNyxVJG+Pr15Hcai2I7oJW8yJYlrCJ4CbJ4kbxkRX17rhZcpkw8ZzcsoRyleTw0fA9Mh39vKRcsJunQcLGW2GBt4HUGpUiOznPONnkm5PSt8ilIECrYhoJHbCkbnKuNDmgZpyxhJJObUXbAJIRuWSLmcm4odVI2m4OxoR9pdXGe82S8LgRdoNWvlOdDw7Y86em1vnP0XQGGwYoeVkPtO6WG3oypEIBLgciKbj024yzp3LwoLvJ0K1rmLBOXZClKrkB1KtFYrOUCsBaXBo+yWUormQU+n9P4epKvxtoLjlZ9tV6qR5RBk9llnuYccdiPB/6dVdeJvqo50tJmFlZzsJpR6ZBKm3ErstUMdZ3oq5qVskybVu3cqndt4XoZViApkG6EWGw2n5IJBWwNVGZMvKxvIAaut1uVD7wqFxMgQTsKGp3WfekcnO/Ez+Ca8oymOkgywLbMywLdyGjUaylDEhqzBdzqgcolRML1CxigpQmdcVobrimkHaZGcTsQd8SD89oIaUMBtsYCcgHsR8i9XM0hDIuCiI0krQDCyM0mRMCYTAA0pQsKdBEqMlRgNR4a/WYZTXbIFdFrSlczWruE8b2BokKKpMs5AUnNhZSsgfftvSmFP+VJd8ckA8+p7QD7llKBxGZJaVLlOlEFNFqCSkWPlknKXwVaQXIxHRc4OTTOLNOD4Nzox9UsTSaZB9TKToW09ssdHrq8wz/baPzG3YND5R7XxO5x3onzxYJkCcrIAla6ZDxOqXIKkxUAEazDCBFLeku7ohT1UKzVVUp6zoaAZnHjzNjo5hIxB8pmENySVM1Wz786YvHpgHyRcVBfaHYDpuW8QGiFK6zWWC+INrVkBT4709XEqkQbq4UNYM/ZCo3q+aN61gjqoyUj3Q2i7Q/kTrXEyAXNmhQjTz7kVWmJvs+0/YVOhRBMMZuy+DDsPytSdFGPe2CPDoO9k3tOYpZl6zqmrkey6/V0WlAh6XBmazY4/wT3sBkETmS7Vuhgz7GicJuorKj9+ypivoTA3KWlJuVqBHWyhxU5jJWM8wYKciIvu+X4YYnZ9jdWDtZ0UrG/6+cjqLxDF7aAvjZm4jAYLzIBfQX4oEcZhQjpofG8zqAXx1Do+anl23eV0+Vloi/34faHCfNDDrg4KYc8xO4hGUfYx4EXWn7k+iG2HoLkYzqT8v08v+hF1eRwMBWVttpbk2+//O5huWVaDpzWLN9xwsjxsaMd7JuRjcMAu6HjWaHth/dEeuXgVKb7huRQIvpngmtKl/Iw9jq74iQr5Klcz2mdNT6D8huy3kH4UiM86iGcHEaYg6YamORRJXHP9HzNIM90OsTSzf2ZZZuOH9qe40eR57iR9V8AuE9h+uUA08cJsGcCO7uJU+LrBdC82pbrOxi7vgcTHg++6k3N/iQtgbb3Af3pz8NIq9cJDUowWz4P9pSVg6HQBDiIfMf2g8gNozrhHVsc6xdFGmrPamHdQHAX2L2XQi2ooh2oCI+35S+shWma376h05SulC+7jgd8F2CSfLP3pnkxtoNfp4NYLTmsLTv5autXdCVgZzAwNL5/X+bixzERG5TQAunXKVqoFHVhEPCk0VXzb9bDQhAu1OEMqS7ENn2n025Uh/6g03ac2GD0T/fT4xqM6WNqMM5aGWpfBXrMBWg/zJ8tQrPjYJ49Jpj/b3Xoom4lVR3qU/rTh6Pq0IfdOoTNENpu33adIPDAbUFwItKy9Mz0pfee545KtH3R4wbVMczdGw2HCpX8ovK1leo4aBr+KWj6zf6nj0dB87EPDeCC4ZgURtiFoA7vbBEOQ1N/S7r/JuG+fb+/A7A7HcA7RuVn1r/+yBLKBSpYPEfy2yXPBUXvWHZN0x/QLc0yBM5HCcweC07ja4pGF+0Hk5LDk/KDbTxndEKzZ1/eTNjfUjMRmkHVPci3pfu7h/P2Fyn1Fbb6DP30b1BLBwg94DHtTAYAALgeAABQSwECFAAUAAgACAAYfOk8PeAx7UwGAAC4HgAADAAAAAAAAAAAAAAAAAAAAAAAZ2VvZ2VicmEueG1sUEsFBgAAAAABAAEAOgAAAIYGAAAAAA==" framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" />
 
--[[Benutzer:Mirasol|Mirasol]] 13:52, 9. Jul. 2010 (UTC)
 
--[[Benutzer:Mirasol|Mirasol]] 13:52, 9. Jul. 2010 (UTC)
 +
Bewege den Punkt A, um die Sehne zu verschieben!
 +
 +
=induktive Satzfindung einer Umkehrung=
 +
 +
<ggb_applet width="1209" height="575"  version="3.2" ggbBase64="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" framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "true" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" />
 +
 +
(vgl. Idee von Frau "komplizierter Doppelname" in einer alten Klausur)<br />
 +
Kann bitte jemand den Satz auf richtige Formulierung kontrollieren?! <br />
 +
Welche speziellen Art der Einführung von Sätzen im induktiven Bereich lässt sich dieses Beispiel zuordnen?

Version vom 10. Juli 2010, 13:47 Uhr

Inhaltsverzeichnis

Test

Hier geben Ihnen die Didaktikspezialisten Tipps zum Satz des Thales

Geogebratest

noch ein Test


Funktionale Betrachtung


Beweisführung

Sehnen verschieben

--Mirasol 13:52, 9. Jul. 2010 (UTC) Bewege den Punkt A, um die Sehne zu verschieben!

induktive Satzfindung einer Umkehrung

(vgl. Idee von Frau "komplizierter Doppelname" in einer alten Klausur)
Kann bitte jemand den Satz auf richtige Formulierung kontrollieren?!
Welche speziellen Art der Einführung von Sätzen im induktiven Bereich lässt sich dieses Beispiel zuordnen?