{"id":2148,"date":"2021-06-10T16:48:17","date_gmt":"2021-06-10T13:48:17","guid":{"rendered":"http:\/\/helloege.ru\/?page_id=2148"},"modified":"2022-02-09T15:13:31","modified_gmt":"2022-02-09T12:13:31","slug":"zadanie-2021-goda-%e2%84%96-7","status":"publish","type":"page","link":"http:\/\/helloege.ru\/?page_id=2148","title":{"rendered":"\u0417\u0430\u0434\u0430\u043d\u0438\u0435 2021 \u0433\u043e\u0434\u0430 \u2116 7"},"content":{"rendered":"<p>\u0422\u043e\u0447\u043a\u0438 A, B, C, D, E \u043b\u0435\u0436\u0430\u0442 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435, \u043f\u0440\u0438\u0447\u0435\u043c AE=ED=CD, EB\u200b<span class=\"math inherit-color \">\\( \\perp \\)<\/span>\u200bAC. \u041e\u0442\u0440\u0435\u0437\u043a\u0438 AC \u0438 BD \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435 T.<\/p>\n<p>\u0430) \u0414\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u043f\u0440\u044f\u043c\u0430\u044f EC \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u043e\u0442\u0440\u0435\u0437\u043e\u043a TD \u0432 \u0435\u0433\u043e \u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0435.<\/p>\n<p>\u0431) \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u044c ABT,\u00a0 \u0435\u0441\u043b\u0438 BD=10, AE=\u200b<span class=\"math inherit-color \">\\( 2\\sqrt{2} \\)<\/span>\u200b.<\/p>\n<hr \/>\n<div class=\"su-row\"><div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<p>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0442\u0438\u043f \u0447\u0435\u0442\u044b\u0440\u0435\u0445\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430\u00a0 ACDE.<\/p>\n<p>\u041e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u0443\u0433\u043b\u043e\u0432 \u043d\u0430 \u0447\u0435\u0440\u0442\u0435\u0436\u0435.<\/p>\n<p>\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e DB &#8212; \u0434\u0438\u0430\u043c\u0435\u0442\u0440.<\/p>\n<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0439 TCK. \u0418 \u043e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435, \u0447\u0442\u043e \u0443\u0433\u043e\u043b K \u043f\u0440\u044f\u043c\u043e\u0439.<\/p>\n<p>\u041e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432\u00a0 TCK \u0438 DCK.<\/p>\n<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u200b<span class=\"math inherit-color\">\\( sin\\angle ACE \\)<\/span>\u200b. \u041d\u0430\u0439\u0442\u0438 DK, KT, TB.<\/p>\n<p>\u0415\u0441\u043b\u0438 \u200b<span class=\"math inherit-color \">\\( sin \\alpha=\\frac{\\sqrt2}{5} \\)<\/span>\u200b, \u043d\u0430\u0439\u0442\u0438 <span class=\"math inherit-color \">\\( sin 2\\alpha. \\)<\/span><\/p>\n<p>\u0412 \u0440\u0430\u0432\u043d\u043e\u0431\u0435\u0434\u0440\u0435\u043d\u043d\u043e\u043c \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0435 \u0431\u043e\u043a\u043e\u0432\u044b\u0435 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u0440\u0430\u0432\u043d\u044b 8,4. \u0421\u0438\u043d\u0443\u0441 \u0443\u0433\u043e\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438 \u200b<span class=\"math inherit-color _focus\">\\( \\frac {2\\sqrt{46}}{25} \\)<\/span>\u200b. \u041d\u0430\u0439\u0442\u0438 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430.<\/p>\n<hr \/>\n<p>\u041e\u0442\u0432\u0435\u0442: \u200b<span class=\"math inherit-color \">\\( \\frac{1764\\sqrt{46}}{625} \\)<\/span>\u200b<\/div><\/div> <div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-2165 size-full\" src=\"http:\/\/helloege.ru\/wp-content\/uploads\/2021\/06\/h2021-16-7.png\" alt=\"\u0414\u0430\u043d\u044b 5 \u0442\u043e\u0447\u0435\u043a \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 A, B, C, D, E, \u043f\u0440\u0438\u0447\u0435\u043c AE=ED=CD, EB\u200b\\( \\perp \\)\u200bAC, \u0441\u043e\u0435\u0434\u0438\u043d\u0438\u043b\u0438 \u0442\u043e\u0447\u043a\u0438 B \u0438 D, \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0430\u0441\u044c \u0442\u043e\u0447\u043a\u0430 T \u043d\u0430 \u043f\u0440\u044f\u043c\u043e\u0439 AC. \u0430) \u0414\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u043f\u0440\u044f\u043c\u0430\u044f EC \u0434\u0435\u043b\u0438\u0442 \u043e\u0442\u0440\u0435\u0437\u043e\u043a TD \u043f\u043e\u043f\u043e\u043b\u0430\u043c. \u0431) \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u044c ABT,\u00a0 \u0435\u0441\u043b\u0438 BD=10, AE=\u200b\\( 2\\sqrt{2} \\)\u200b.\" width=\"345\" height=\"318\" data-wp-pid=\"2165\" srcset=\"http:\/\/helloege.ru\/wp-content\/uploads\/2021\/06\/h2021-16-7.png 345w, http:\/\/helloege.ru\/wp-content\/uploads\/2021\/06\/h2021-16-7-300x277.png 300w\" sizes=\"(max-width: 345px) 100vw, 345px\" \/><\/p>\n<\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0422\u043e\u0447\u043a\u0438 A, B, C, D, E \u043b\u0435\u0436\u0430\u0442 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0432 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0435, \u043f\u0440\u0438\u0447\u0435\u043c AE=ED=CD, EB\u200b\\( \\perp \\)\u200bAC. \u041e\u0442\u0440\u0435\u0437\u043a\u0438 AC \u0438 BD \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f \u0432 \u0442\u043e\u0447\u043a\u0435 T. \u0430) \u0414\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u043f\u0440\u044f\u043c\u0430\u044f EC \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u043e\u0442\u0440\u0435\u0437\u043e\u043a TD \u0432 \u0435\u0433\u043e \u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0435. \u0431) \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u044c ABT,\u00a0 \u0435\u0441\u043b\u0438 BD=10, AE=\u200b\\( 2\\sqrt{2} \\)\u200b.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"aioseo_notices":[],"_links":{"self":[{"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/2148"}],"collection":[{"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/helloege.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2148"}],"version-history":[{"count":14,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/2148\/revisions"}],"predecessor-version":[{"id":2424,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/2148\/revisions\/2424"}],"wp:attachment":[{"href":"http:\/\/helloege.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}