Satz des Thales: Unterschied zwischen den Versionen
Aus Geometrie-Wiki
(→Variante b) |
(→Variante b) |
||
| Zeile 23: | Zeile 23: | ||
| − | =Variante | + | =Variante a= |
<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" /> | <ggb_applet width="884" height="510" version="3.2" ggbBase64="UEsDBBQACAAIAIi17jwAAAAAAAAAAAAAAAAMAAAAZ2VvZ2VicmEueG1s3VnLcts2FF03X4FRZzrtTEyDb7KR4pHtpJNp0mTiNJnppgORVxJqilRA0Jb8M930B7rJqjvv+029AEi9rVh+tHHlBc2L173nnHsBSO2DySgjZyBKXuSdlm3RFoE8KVKeDzqtSvb3otbB00ftARQD6AlG+oUYMdlpuZbTUvaKP330VbscFueEZbrLew7nnVafZSW0SDkWwNJyCCCX7Kya8IwzMX3d+w0SWc4bzCQv8nGFq0hRoS0ZpS952bzuqwX7RS4JKfkFoNOOsrX3tS9tqJKMp5zlaj3tG3Yi5JyncthpRZHXIkPggyFO59PIzJYUhUhPpqWEEZn8AqLotGINxdS8OLGn3sqEZaCG6abFNz0LnJ2AlAhcSdgE5iENBE+XXl6Uh0U2N40LnssjNpaV0Ki7telETtUCuJZQ/nbzQQa1zUFQhpCc9orJicHANVO/m471EO1Qb3BUZIUgAgf4Pnaonz3z1H2Up7NeVPehukc9h5p01m7Hju6hnz3z1L0ynhvX6sjtJmqbNsvwkiiDghHFMgs+Yz3IOq0WqXIuXzYvkiendai2GfBTNeqhShc1MJvTvqs52/sr6mmfgsghMxrJkduqqEpyxrJmLe1ICgkf4atpaCJWdP2MDhhrCgMBjeNG4wawxTFGhyvm9n7jhPKhRF8TicmK8UgVywmTF32ep1U+IM+r/FS1oTDJIUjBkqFUdqYSTg4LoXBImcRhKnkhgxFgHkktGq25GXivWrO8LnSKNslYt89pwOaNAtJSY9l4yNDS5EjGpiCWYtbzvSpSWEEPEdVhYlKO1QSKszFAWhcpWQudjHFKnTYLhGgcSzJRfcMIcxW9sShq9sKM1p1MjqnioBd2awEYTD6DzuGv9jo+y+pbcOdeEOrzCaTGMudiHrhv0Vngu8WdFKMRy1OSsxHGfcRFkoEOlquaTBhV4iDMNiiYACvZNCXG1t6vp1kDEjXMkxlKSQ3kvIDIIeZpDmWpq5xcrGdXq/EaYNObQ30t53BPgfwMXStESciE1jqdUrMguWgsE0Ruz2whdm26sBf4Qd0LPiHdpn+36dV1cKBrBZ7tx/MPSqjr1mt0PexhJN/18V8teuPdx9xEUJoKiKmU8D4SsZX8N1r0y9wnG0jvbqd8OXe6N6ostmM2MP38UqoLYu1FNI5o5IaeHYSxH+ucsy3fdgM38JEpJ6ZBvGPpuRkLx7uwcHzD+vVF8qAkTxc/jqYB6XHQHuCf71OPRkFwGx5eYhnYXAiP17hgnyuDqqbMsGY3roI77zm3KINzvF3Lpau46q3GcajnBdSLHZ+6tvtszzaI7/lWhBlCwygMwzh0Qn+XyrpSu/honPGEy+1sveJCFGKFr67hi23InsNdsufwv69hS1u9t1iEws01KLyN9k9goOyb4TxcPwVsB7OsZ5udAu7iDLAZ8+bic4fq3/MsD0UfOwi6j2ngBEbnCHpg+Y4dB8iCF7muH7tG/TGq347C2PWQjoi64R2pX2OeqcL4Ipd4kwF9M1i/oJwCjNXN8HX+TrC8VHf45ZPj1cTPJt6wAV2ZS89M0/NdUurZDTekwNP8qkfPPG7P8H3tJ9vif/5lxR/Gix9zlfAt11kK/9841RztIqKjW9xaberctkZ85k7mWFiKaeh7kedj6QipX8Pq2JEfubhj2qEb3wrVt2y6gumRycXuGrDpdmAFztTAlj6w00mIJxBVan3H86LYNsnrWTR0qR+4eEixfTeo90PbCnyHRrYfunaImR48nNp8JdnrGzJcn2x40GRTrz6K6hff9Z3IjhynPoY6juXixmwHse/iecnzo4fDtv7+d4Xv1PANa3z//ed2wvW3kzOysLcaj45UNc54sVWHmJDGTuDZjtMAddPSus64d03G175hXmDIW2GIiWReKYPGmGXF+VvoZzDREK5wcsMz79Ea5L3dzry9+zvz3nmS7W0uqZsr6t5DLqmbOb+yrLLdOGcPiPP/c2GFyVigJ+qLpxrUdzCRKGps6LS++VgV8sno8tMgs0i36g+wS15KyLIqH3z/zdc2ffIePUmGHHpAUg7kBLgEkjwmPE9hRNKKpJCTN+rXGNIlrOoTZf5RAC9JD85hUEpLz/MBB5+BGF7+kUlS8mRIUlyMY3dBBuLyrxzIB56fQnZgurM8J0MmCTardX8Ql58ufwcS0wOiO3x7XAmc5ByyZDjzYFSV5aKbZADY+BiXGnG5vhQBnpO3kAwR7sbES3nwncFFY7ksc4ngtZaR3C7h+z0clJIJqa8XpP6S1vWWbnN+c5uL3KVbjrd48l7Uy/7iD2/6p+b65/Cn/wBQSwcIfLrPecUGAABAHwAAUEsBAhQAFAAIAAgAiLXuPHy6z3nFBgAAQB8AAAwAAAAAAAAAAAAAAAAAAAAAAGdlb2dlYnJhLnhtbFBLBQYAAAAAAQABADoAAAD/BgAAAAA=" framePossible = "false" showResetIcon = "true" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" /> | ||
| + | |||
| + | ==Variante b== | ||
| + | <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" /> | ||
=induktive Satzfindung einer Umkehrung= | =induktive Satzfindung einer Umkehrung= | ||
Version vom 14. Juli 2010, 22:11 Uhr
Inhaltsverzeichnis |
Test
Hier geben Ihnen die Didaktikspezialisten Tipps zum Satz des Thales
Geogebratest
Funktionale Betrachtung
Beweisführung
induktive Satzfindung
Sehnen verschieben
--Mirasol 13:52, 9. Jul. 2010 (UTC) Bewege den Punkt A, um die Sehne zu verschieben!
Variante a
Variante b
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?
Funktional
