Satz des Thales: Unterschied zwischen den Versionen
Aus Geometrie-Wiki
(→Variante) |
(→Satzfindung) |
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Zeile 4: | Zeile 4: | ||
=Satzfindung= | =Satzfindung= | ||
− | == | + | ==Induktive Satzfindung== |
− | === | + | ===Variante 1=== |
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+ | |||
+ | ===Variante 2=== | ||
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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" /> | ||
− | === | + | |
+ | ==Funktionale Betrachtung== | ||
+ | ===Variante 1=== | ||
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framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "true" errorDialogsActive = "true" enableLabelDrags = "true" showMenuBar = "true" showToolBar = "true" showToolBarHelp = "false" showAlgebraInput = "true" allowRescaling = "true" /> | <ggb_applet width="1280" height="750" version="3.2" 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framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "true" errorDialogsActive = "true" enableLabelDrags = "true" showMenuBar = "true" showToolBar = "true" showToolBarHelp = "false" showAlgebraInput = "true" allowRescaling = "true" /> | ||
− | ===Variante | + | ===Variante 2=== |
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Jul. 2010 (UTC) | <ggb_applet width="1005" height="544" version="3.2" ggbBase64="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" framePossible = "false" showResetIcon = "true" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" />--[[Benutzer:"chris"07|"chris"07]] 21:47, 15. Jul. 2010 (UTC) | ||
− | == | + | ===Variante 3=== |
− | + | ||
− | + | ||
− | + | ||
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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" 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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" /> | ||
--[[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! | Bewege den Punkt A, um die Sehne zu verschieben! | ||
− | ==Variante | + | ===Variante 4=== |
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framePossible = "false" showResetIcon = "true" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" /> | <ggb_applet width="884" height="510" version="3.2" ggbBase64="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" framePossible = "false" showResetIcon = "true" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" /> | ||
--[[Benutzer:"chris"07|"chris"07]] 21:12, 14. Jul. 2010 (UTC) | --[[Benutzer:"chris"07|"chris"07]] 21:12, 14. Jul. 2010 (UTC) | ||
− | ==Variante | + | |
+ | ===Variante 5=== | ||
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--[[Benutzer:"chris"07|"chris"07]] 21:12, 14. Jul. 2010 (UTC) | --[[Benutzer:"chris"07|"chris"07]] 21:12, 14. Jul. 2010 (UTC) |
Version vom 19. Juli 2010, 15:13 Uhr
Inhaltsverzeichnis |
Ein wenig Didaktik
Hier geben Ihnen die Didaktikspezialisten Tipps zum Satz des Thales
Satzfindung
Induktive Satzfindung
Variante 1
Variante 2
Funktionale Betrachtung
Variante 1
Variante 2
--"chris"07 21:47, 15. Jul. 2010 (UTC)
Variante 3
--Mirasol 13:52, 9. Jul. 2010 (UTC) Bewege den Punkt A, um die Sehne zu verschieben!
Variante 4
--"chris"07 21:12, 14. Jul. 2010 (UTC)
Variante 5
--"chris"07 21:12, 14. Jul. 2010 (UTC)
Beweisfindung
Variante 1
Variante 2
--"chris"07 17:07, 15. Jul. 2010 (UTC)
weitere Variante
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?