Show pageOld revisionsBacklinksBack to top This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong. <PRELOAD> miniaufgabe.js </PRELOAD> ==== 10. Januar 2022 bis 14. Januar 2022 ==== === Donnerstag 13. Januar 2022 === Beschreiben Sie, wie der Winkel $\alpha$ bestimmt werden kann. (Was wird gerechnet und warum):<JS>miniAufgabe("#exowinkel_an_parallelen","#solwinkel_an_parallelen", [["<svg height=\"82.631248pt\" viewBox=\"0 0 106.05197 82.631248\" width=\"106.05197pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><symbol id=\"a0\" overflow=\"visible\"><path d=\"m1.78125-1.140625c-.390625.65625-.78125.796875-1.21875.828125-.125.015625-.21875.015625-.21875.203125 0 .0625.0625.109375.140625.109375.265625 0 .578125-.03125.84375-.03125.34375 0 .6875.03125 1 .03125.0625 0 .1875 0 .1875-.1875 0-.109375-.078125-.125-.15625-.125-.21875-.015625-.46875-.09375-.46875-.34375 0-.125.0625-.234375.140625-.375l.765625-1.265625h2.5c.015625.203125.15625 1.5625.15625 1.65625 0 .296875-.515625.328125-.71875.328125-.140625 0-.234375 0-.234375.203125 0 .109375.109375.109375.140625.109375.40625 0 .828125-.03125 1.234375-.03125.25 0 .890625.03125 1.140625.03125.046875 0 .171875 0 .171875-.203125 0-.109375-.09375-.109375-.234375-.109375-.609375 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stroke-width=\"5\" transform=\"matrix(.1 0 0 -.1 0 85.04)\"><path d=\"m463.125 790.36094-14.76563-83.71094\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m480.15625 790.36094-14.76563-83.71094\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m651.5625 144.42344-14.80469-83.750002\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m668.55469 144.42344-14.76563-83.750002\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m307.73437 70.24375v64.60937\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m275.42969 102.54844h64.60937\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m792.1875 716.22031v64.57031\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m759.88281 748.48594h64.60938\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m980.58594 70.24375v64.60937\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m948.28125 102.54844h64.60935\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m119.33594 716.22031v64.57031\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m87.03125 748.48594h64.60937\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m549.96094 393.25156v64.57031\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m517.65625 425.51719h64.60937\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m307.73437 102.54844 484.45313 645.9375\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m119.33594 748.48594h672.85156\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m307.73437 102.54844h672.85157\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m119.33594 748.48594 861.25-645.9375\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m792.1875 748.48594 188.39844-645.9375\" stroke-linecap=\"round\" stroke-linejoin=\"round\"/><path d=\"m619.96094 373.01719 52.53906 70-70.03906 52.53906\"/><path d=\"m477.77344 102.54844c0 55.625-26.71875 105.03906-68.00782 136.05468\" stroke-linejoin=\"round\"/><path d=\"m932.96875 265.86875c-35.74219-10.42969-66.64063-32.22656-88.4375-61.28906\" stroke-linejoin=\"round\"/></g><use height=\"100%\" width=\"100%\" x=\"21.239799\" xlink:href=\"#a0\" y=\"83.67984\"/><use height=\"100%\" width=\"100%\" x=\"81.3601\" xlink:href=\"#b0\" y=\"8.07984\"/><use height=\"100%\" width=\"100%\" x=\"100.1999\" xlink:href=\"#c0\" y=\"83.67984\"/><use height=\"100%\" width=\"100%\" x=\"1.3198\" xlink:href=\"#d0\" y=\"8.07984\"/><use height=\"100%\" width=\"100%\" x=\"29.5198\" xlink:href=\"#e0\" y=\"45.159939\"/><use height=\"100%\" width=\"100%\" x=\"39.239719\" xlink:href=\"#g0\" y=\"46.60017\"/><use height=\"100%\" width=\"100%\" x=\"45.239723\" xlink:href=\"#h0\" y=\"46.60017\"/><use height=\"100%\" width=\"100%\" x=\"48.719799\" xlink:href=\"#i0\" y=\"67.600166\"/><use height=\"100%\" width=\"100%\" x=\"53.759804\" xlink:href=\"#j0\" y=\"67.600166\"/><use height=\"100%\" width=\"100%\" x=\"58.7999\" xlink:href=\"#k0\" y=\"64.000168\"/><use height=\"100%\" width=\"100%\" x=\"81.3601\" xlink:href=\"#f0\" y=\"58.35994\"/></g></svg>", ["$CD$ ist die Mittelsenkrechte von $A,B$. $C$ liegt auf $m_{AB}$, also ist $\\overline{AC}=\\overline{BC}$ und $\\Delta\\, ACB$ ist gleichschenklig.\n<br>\nAlso ist $\\sphericalangle CBA = \\sphericalangle BAC = 65^\\circ$ (Basiswinkel).\n<br>\n$\\alpha = 180^\\circ - 90^\\circ - 65^\\circ = 25^\\circ$ (Innenwinkelsumme im $\\Delta\\, BCM_{AB}$)"]], ["<svg height=\"82.631248pt\" viewBox=\"0 0 106.05197 82.631248\" width=\"106.05197pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><symbol id=\"a1\" overflow=\"visible\"><path d=\"m1.78125-1.140625c-.390625.65625-.78125.796875-1.21875.828125-.125.015625-.21875.015625-.21875.203125 0 .0625.0625.109375.140625.109375.265625 0 .578125-.03125.84375-.03125.34375 0 .6875.03125 1 .03125.0625 0 .1875 0 .1875-.1875 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y=\"83.67984\"/><use height=\"100%\" width=\"100%\" x=\"71.139801\" xlink:href=\"#c2\" y=\"8.07984\"/><use height=\"100%\" width=\"100%\" x=\"83.5\" xlink:href=\"#d2\" y=\"48.520039\"/><use height=\"100%\" width=\"100%\" x=\"90.580078\" xlink:href=\"#f2\" y=\"49.959881\"/><use height=\"100%\" width=\"100%\" x=\"79.780083\" xlink:href=\"#g2\" y=\"30.03998\"/><use height=\"100%\" width=\"100%\" x=\"84.820084\" xlink:href=\"#h2\" y=\"30.03998\"/><use height=\"100%\" width=\"100%\" x=\"89.860184\" xlink:href=\"#j2\" y=\"26.43998\"/><use height=\"100%\" width=\"100%\" x=\"53.139881\" xlink:href=\"#i2\" y=\"36.159901\"/><use height=\"100%\" width=\"100%\" x=\"58.179886\" xlink:href=\"#h2\" y=\"36.159901\"/><use height=\"100%\" width=\"100%\" x=\"63.219978\" xlink:href=\"#j2\" y=\"32.43998\"/><use height=\"100%\" width=\"100%\" x=\"29.139879\" xlink:href=\"#e2\" y=\"67.839981\"/></g></svg>", ["$w_{\\alpha}$ ist die Winkelhablierende und halbiert den Winkel $\\alpha$.\n<br>\n$\\sphericalangle CWA = 180^\\circ - 70^\\circ = 110^\\circ$ (Nebenwinkel)\n<br>\n$\\frac{\\alpha}{2} = 180^\\circ - 110^\\circ - 50^\\circ = 20^\\circ$ (Innenwinkelsumme im $\\Delta\\, AWC$).\n<br>\nAlso $\\alpha = 40^\\circ$."]]], " <hr> ", " <hr> "); </JS> <HTML> <div id="exowinkel_an_parallelen"></div> </HTML> <hidden Lösungen> <HTML> <div id="solwinkel_an_parallelen"></div> <div style='font-size:12px;color:gray;'>ruby geometrie-aufgaben-dokumentieren.rb 1</div> </HTML> </hidden> === Freitag 14. Januar 2022 === Aus juristischen Gründen finden bis Ende Semester keine Miniaufgaben mehr statt. lehrkraefte/blc/miniaufgaben/kw02-2022.txt Last modified: 2022/01/13 11:22by Ivo Blöchliger