{"id":1758,"date":"2020-12-15T11:27:27","date_gmt":"2020-12-15T08:27:27","guid":{"rendered":"http:\/\/helloege.ru\/?page_id=1758"},"modified":"2021-12-09T15:12:06","modified_gmt":"2021-12-09T12:12:06","slug":"zadanie-5081","status":"publish","type":"page","link":"http:\/\/helloege.ru\/?page_id=1758","title":{"rendered":"\u0417\u0430\u0434\u0430\u043d\u0438\u0435 5081"},"content":{"rendered":"<p style=\"font-weight: 400;\">\u0412 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0435 \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0430\u044f \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f. \u041d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u043e\u0434\u043d\u043e\u0433\u043e \u0438\u0437 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430 \u0432\u044b\u0431\u0440\u0430\u043d\u044b \u0442\u043e\u0447\u043a\u0438 <span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">A<\/span>\u00a0\u0438\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">B<\/span>, \u0430 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mo&gt;&amp;#x2014;&lt;\/mo&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">\u2014<\/span>\u00a0\u0442\u043e\u0447\u043a\u0438\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">B<sub>1<\/sub><\/span>\u00a0\u0438\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">C<sub>1<\/sub><\/span>, \u043f\u0440\u0438\u0447\u0451\u043c\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">BB<sub>1<\/sub><\/span>\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mo&gt;&amp;#x2014;&lt;\/mo&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">\u2014<\/span>\u00a0\u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0430\u044f \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430, \u0430 \u043e\u0442\u0440\u0435\u0437\u043e\u043a\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">AC<sub>1<\/sub><\/span>\u00a0\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u043e\u0441\u044c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430.<\/p>\n<p style=\"font-weight: 400;\">\u0430)\u00a0\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \u0443\u0433\u043e\u043b\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">ABC<sub>1<\/sub><\/span>\u00a0\u043f\u0440\u044f\u043c\u043e\u0439.<\/p>\n<p style=\"font-weight: 400;\">\u0431)\u00a0\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0443\u0433\u043e\u043b \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u044f\u043c\u044b\u043c\u0438\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">BB<sub>1<\/sub><\/span>\u00a0\u0438\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">AC<sub>1<\/sub><\/span>, \u0435\u0441\u043b\u0438\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;6&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">AB=6<\/span>,\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;15&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">BB<sub>1<\/sub>=15<\/span>,\u00a0<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;msub&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;8&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">B<sub>1<\/sub>C<sub>1<\/sub>=8<\/span>.<\/p>\n<p style=\"font-weight: 400;\"><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<hr \/>\n<p>\u041f\u043e\u0441\u0442\u0440\u043e\u0438\u043c CC<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1<\/sub><\/span> || OO<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1<\/sub><\/span>. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e CC<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1 <\/sub><\/span>\u00a0\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f &#8212; \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0430\u044f. AC \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442 \u0446\u0435\u043d\u0442\u0440 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f &#8212; \u0434\u0438\u0430\u043c\u0435\u0442\u0440. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e ABC &#8212; \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u044b\u0439 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a.<\/p>\n<p>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0435 \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 BA, BB<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1<\/sub><\/span>, BC. AB \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u0430 \u043b\u044e\u0431\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439 \u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 B<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1<\/sub><\/span>BC?<\/p>\n<p>\u041e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435, \u0447\u0442\u043e \u0442\u043e\u0447\u043a\u0430 S \u0434\u0435\u043b\u0438\u0442 OO<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1<\/sub><\/span> \u043f\u043e\u043f\u043e\u043b\u0430\u043c.<\/p>\n<p>\u041e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435, \u0447\u0442\u043e \u2220O<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1<\/sub><\/span>SC<span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;semantics&gt;&lt;mrow&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;msub&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><sub>1<\/sub><\/span> &#8212; \u0438\u0441\u043a\u043e\u043c\u044b\u0439 \u0443\u0433\u043e\u043b. \u041d\u0430\u0439\u0442\u0438 AC, OS,\u00a0 \u200b<span class=\"math inherit-color \">\\( tg(\\angle O_1SC_1) \\)<\/span>\u200b<\/p>\n<hr \/>\n<p>\u041e\u0442\u0432\u0435\u0442:\u200b<span class=\"math inherit-color \">\\( arctg(\\frac{2}{3}) \\)<\/span>\u200b<\/p>\n<\/div><\/div> <div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1763 size-full\" src=\"http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h5081_1.png\" alt=\"\u0412 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0435 \u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0430\u044f 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