Basiswinkelsatz und Mittelsenkrechtenkriterium (SoSe 12): Unterschied zwischen den Versionen
*m.g.* (Diskussion | Beiträge) |
*m.g.* (Diskussion | Beiträge) |
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Letztlich hilft nur die Winkelhalbierende. Damit wir uns auf die wesentliche Beweisidee des Basiwinkelsatzes konzentrieren können, schicken wir ein Lemma voraus.<br /><br /> | Letztlich hilft nur die Winkelhalbierende. Damit wir uns auf die wesentliche Beweisidee des Basiwinkelsatzes konzentrieren können, schicken wir ein Lemma voraus.<br /><br /> | ||
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====== Beweis des Basiswinkelsatzes ====== | ====== Beweis des Basiswinkelsatzes ====== | ||
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XdWHv2H7/htWHMbIbtoO1N/MwWk9gWV3XEWDj2oJ8J9ODy9577IxoS9h+zfmRZRfR7BNW2Ia23nzGSfrdUzd8K/a4gcE0re4gq66+ZUiDtG44T3TjR1lGlOra/oHt7E5EaRza0xc8x4866eOFxCqcFsql/j6JeTdYSVexzbRsi2tTniZOOc/Enat/Q8JKU7zLAE7B5JvIlXP1RuM85P/mL18mxtTyMl30axZoOf99j5AbDKAl/m3ZgDEiMv2hm0DTQaTjhumLJuVxPavg6c29G0v3zMb/+6FW/gyXzqQ9ga2VofaMaMShpnlx+GWrTTH9d+0zqSu/eHjKH2H/RMcaW/XBtu+Mm+XOd4RJb/5etNurvYGvpPZn8jbkhLJVV4CG3hNSK3h/Ynr7rusSGHJL/ZHhxaXRTUGkgeEIflZiBf6tVSwADHcsIVvU7xzImwVGbFjTyy5ill5whdSydDgi89uWDCY8MrtzY1YUJInYblky+E2iR+O5+V2WHrJtR2j3WFbmb6W/Yr3WY1aoWl23lkVMSGR4ZPmc7Qob1x/bixEdZaO9gViocTyuzoOwrWvukoATMucF9RwUBPtTvtJC9Nd/hsRP5QdHFtfZfGIGff5P21f+DJjSck517Onk+Js9tfbjK5b2RPZKRkgjxYFhR7FclnKH6o9F7llPd8+PC5u0hKZE4InzXAz69GDLuXHIM2Z/qP6TS0QISLD8jTO8f9KLssnCIEWFE8J6G7ddChQKwrU2W0zjNCZzqf8S1Ll5z1IeXi65CxNQw4iUhN3sbHcgO0ogtijH2ruBUzNpmi75WL8taJnHsFmGo4a7iYPmH8psc1v8Gv4EJ0szYEpVmOit3Mtr59mXZ5d7QK6lGVIuFlot1XSZaYaeTnkP4WlYRzB/i7J3QkQreqcNyWcoaNR7BgKuORABvqcAAuDkyDhcSe3lOvzpoFTUZcHtB8bqaHe6FP0Q2UcB8bP1AmE3nPpudUVrm7H4qKErboKYZleoPmLSMpB+sTV5bqmYxudpi0eOQyNHgLU+DWL+HqJlGxhdeYyGkaRqFUUYiNLPNU4yVzlxeq36h+piYx5dauyqxAaPIm8+Jt4tbZ1dgSKlbWf/xEx/p6uV/dYegL6wlLlm5xgQ6ZWNVYS2v4+d7V9TsIADfKEAV3GLMZt9DCFtGkamMWwmDkMaVuWrao36Hk1e+ZpeDbPLqn0kNNRynzEo/PuvUoS9oMay7FtZHCr3w8H+2PUiBc5gKhq7KQraoygPbNhcg1hLVB/zGJXsen2dpAVFTzx9anhCVokEX3QoGLNPSixGUrn6EZsOdppvYwBqDEt6vV8FT++Q5VWdE0l5GOj4lZIgcUkKeixYmRFeMLCliorsXJZVDAj+tyclzMnA/83So2QZeDN81Edx/tIN11lty0tryJogevSPzHrJI7h1gG6mob5SrMTIkM/36W3Dm7OoW7nKeSy7j9LtTgOXpajTePFSD04afOJ+TTLronTrw2D/TOMFk6RY5ysL6/6Fc0t0sv+KyCquFW3DwpW3CPNRQ6T7olMBRllj5Jx0u/cjwWlcbSPdM9aF+oLk0DuYcnnu80kwY4yf+YjxdN6f/NW/qcgYX1ebICwx0CgB3ewmVSWxnRFkeYZ0i/cAp/LbMWJ/oE1LTfBKc87ymaNEU6oW5G0neG6Ry3m416gwRdJ0k6cTk+vomS07RLiAIF3PlqE2oYjr1wKGLSP/H+goiqH3ZVzUvwY6PPs2aNDDkwE2juM8umcc55ok7O7ULGJ04ldtKY89wkPNZAXdPKUH7cDX5yO2rqwTYS/+U3HejboFQw9lkEGwnXy1EVI14zo5d/D5Tr+0n2shsukoLyX2jc5XJQ48pTAay0bzOAY1DMgeOf+vjzT/szb3Zp1VUkWIPWWiyX8kwbySNctvHqYUhjSMY3PQA/uk7CbwxUPSBLhMnoecGauQvcQivc5imlDdnJeDbwI0Kan7dsO48K3h+XeaANgmLloyMQVNh8sEigUycrcEg76WL23YWKo5omoyLEyK2zhfqnDQrV/80Tciti/upRnsOhdhtzRR8y0fzpNQCQlhtoUwOkTeZ/DCVPox0r9X9rWtkXI/0zCTjYOtmUfu8V+y9QSwcIIGKtYUkIAABzCgAAUEsDBBQACAAIAAqm6DwAAAAAAAAAAAAAAAAMAAAAZ2VvZ2VicmEueG1s7V3bcuO2Gb5unoKjzuRqzcUZZGOnIzvbaWY23Uy8XXc6O7NDUZCMmCK1JOVTJ2/TF0hzm7vc7zMVAA8SJVIiRdsrt/GNRBCEgO/7T/gB0Md/vp0F1rWIExmFJwNog4ElQj8ay3B6MlikkyNn8OevvzieimgqRrFnTaJ45qUnA2yjgS5fyK+/+MNxchndWF5gqryT4uZkMPGCRAysZB4Lb5xcCpFWyr3FrQykF9+9Gf0o/DRZ3sga+TacL9SvpPFClfmz8WuZFJcvzQ/OA5l+I6/lWMRWEPknA0ZV19W3dyJOpe8FJwMCshJ0MkBrN1UR1ncvo1jeR2Gqqy8bn6gSy0rkvVBPAl12/NIM9Fgs/ECOpRfqwZh+qEqWdSPH6aVCD3Gk2hRyeqk66yAna86Ponh8fpekYmbd/lPEkarpYpszl7oMui5FxOED6y67dYSI7XKAgcMdh7oOo46CUfVZdYa4tksAg5xyDl0OCVWPNd8zvy6uz0WaKjoTy7sVS6CnsRxXLr5NTqNgWTSPZJieefN0ERtZwHnReXqnf06BF+txDsNpIPIyNXj/UvhXo+j23IAHcdb027u5ecR0aDQ9i4IotmJNixrANP8cZZ+mju5pWQuYOsDUyNvQjZb3oYtMDfM5yj5NrUCGWdfykcNi1BAUPyMTSxeoxrUIl4MPvJFQIjGwFqFMXxcXSnSu8qHC7IG/LWYjpTurwlO2CR+qzeOXa2J3fCXiUASZbIWK20W0SKxrLcTZb5mOjIUvZ+oyu5FD4mm6/q46kJWOxTQWRcczzcsAM3fBqvyuFR+/LDqh+5CovvqpMiFqPKkey6m4EQqHsUisUy+RyY0Mr0SQeOm9SLT2p0rzTgYze2oPrLGXqie0NRGBmAmle6mRl3AxE7H0S+TOlXDpVoLf/h1OxUB3TfVnkfeK2Xl3jS2KjFkpDEjewJIkdbtBvJQBml966psNcyHy7pSJWcXDtPZdNM5/OK+XBMYWzaQyo1Sb0Zl3qyVNf/VGSRQsUnHuK7TD15HvpcbcZr3LrYcySLqueogQ/eVOjQkZgzyRt2KpmKs2a4XupbCnl0qmQpEkRiPTVd3zQiUShidljea5vU/mQjdvvhe1rbkat9H78ieUGGb0bBBl7EKJ8nDQlwVjDkoewFYe3kwmiUg1akcYG9AQqqUpf8hgmZUsO2IkPNGNgBz5I66/3GeomDqZ8dPm3jyMu0By+pkgcTNAWA9AnL0B8aPZzAvHVujNFCDnYqrLDRBSO3fLA1pWLA9qfLLBL9Lihp+1lrexAW+St1YA6A9aq8BDmYf2YkkyFraRsCmATg43Le1aq9GJj2FWJ8l8ipypQMmXaQlwoLX62zBVHkYYi73pOK6EmGuP/SZ8G3thoiO+qnw0s3wmYz8Q9SSvme91xsfbGVdOZsUVjPfku+qKH5LwDUrb0SWnIrxWXYvixLJuQW6F70AuCPdFya0C8CiTDZgX3cMVZVRWPZa31rCoPyxqDZEOw8w3nDc6JEVbQ3oy4HaD6Ci34MuJ9Pdg/LQV46IL4+J3xjswzvkm484DMV4ajzXSxxnpeg6HVvq5QvjZdsKrPvNsL5/JiOFSf4yyj+4GG+YeD5J2JruI1o6QTRF3GAGEAgAIAuTRPObZBrijbh5zdAgeE9YTgAo8t6rbkoAjYhOOIKYuJa6aTzvmcZJ7UOQ8Jw9az/ppE+teN9a9w2U9D3v6MH5UUM5tzjlwOMPqJmOYPx/+h+F0EXjxqUyMj2jSfmNjN8PmyXZx0ACUNE4O36MuCYe5jQU5w4bqhyG1u6ebZCz4G/BfdHFwF60dnIqExjKbtavab/LKVw/o/bYgj1Hh3sxURIPv7OfQfvDu1oA8y4C82ADyZjuQsWqpgOnmYU1aa6z7zgvzWWHrGKPG3pXKALntOA4l2IHqroM38p+Ha+86+rtpN383bRYOnZtuKR0rI60XD7kpHuupbQofQhkf0O9tjP8gBaEx3L3sJgiX/xeC0DLk/fzUV8mSM2+6BPlUBmNo6JpI1aVMOkbUg4Jz7I84Br4ScnfkUeGxse+M6cRl77MFh8S/FDPPnofTrFMyPPX8q2kcLcLxRo+T1IvT77ULs0Kz5mIMuTG2XCvQ8q+Y3gFUndD1DZ5WOrPbtcAdoXSbzG4XDtA6B4RB6jEAmY8hc0Z4xAB3ha9lECBKxq05WFnGbaaAVCjIDZ3OZPXmoEmlPwMFt/NY9Vdbkbw7b8VtqgyEunEy+PLjIkq/2raSltUwrVbZTFUzg2qbDwjDrkndJgx6QT0RsZwsNwaYBWI2KEwO2BCILBtOHbD6B3M5sHFFDHaDiiqgvotib5GoSOx+EU7bo4jao1jvH358NIjXgIPELnUG2MRpBKsy4FEUBcILy/H8uL7Iumo9n0aWlgGzg3jm5LjbDMRuQcAVQfCs94qpqTVqLwS4rxDUBAkPJAQyee29Ff/YYmWzJT3MStEAZE299pETeUhyQklmJIizZcltt5yQipz8VQbBJLnKdjpcGUrvF7GVGefJb79exp0MCTlMcwxKc4xqJcctJYfYmHQzwLSC54XxYpdeMJIiFqHq4I11rR5oDyHtq4a95vRdbLFrK0nMUXO7gcYqoL03u3es4dlpe5jY4cLUzlopT4ZL+Eiz0G01UFeHZKBYPltDgPYxUHwtTJzGv/0ajpUZsvQ+JGWwqvaqvcjw52ucakJFatNuOudUcH11K5NUhPeWnr28kspSLVI5vRIyNTBv2LEOODt9VTN4OgvmVqLwXB+ZDZuj8K36GByWPhb7pHoFDO5DzDDc56p7i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framePossible = "false" showResetIcon = "true" showAnimationButton = "true" enableRightClick = "true" errorDialogsActive = "true" enableLabelDrags = "true" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "true" showAlgebraInput = "false" allowRescaling = "true" /> | <ggb_applet width="1272" height="830" version="3.2" 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Version vom 21. Juni 2012, 18:03 Uhr
Der BasiswinkelsatzGleichschenklige DreieckeDefinition VII.4 : (gleichschenkliges Dreieck)Das können sie selbst. Bringen Sie in der Definition die Begriffe Basis, Basiswinkel und Schenkel eines gleichschenkligen Dreiecks unter. Übungsaufgabe Der BasiswinkelsatzSatz VII.5: Basiswinkelsatz
Schulvariante des Beweises des Basiswinkelsatzes Ein im Rahmen unserer Theorie korrekter Beweis des BasiswinkelsatzesProbieren Sie ruhig weitere Varianten: Mittelsenkrechte ... .
Letztlich hilft nur die Winkelhalbierende. Damit wir uns auf die wesentliche Beweisidee des Basiwinkelsatzes konzentrieren können, schicken wir ein Lemma voraus.
Beweis des Basiswinkelsatzes
Das MittelsenkrechtenkriteriumSatz VII.6: (Mittelsenkrechtenkriterium)
Bezug zur Schule:Konstruktion der Mittelsenkrechten einer Strecke Konstruktionsvorschrift: gegeben: Strecke gesucht:
Frage: Ist dieser Algorithmus korrekt? Anders gefragt: Ist Wir beweisen die Korrektheit der Konstruktion indem wir folgendes zeigen: Satz VII.6 a: (hinreichende Bedingung dafür, dass ein Punkt zur Mittelsenkrechten von
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