{"id":1820,"date":"2020-12-18T13:38:22","date_gmt":"2020-12-18T10:38:22","guid":{"rendered":"http:\/\/helloege.ru\/?page_id=1820"},"modified":"2021-12-09T15:12:57","modified_gmt":"2021-12-09T12:12:57","slug":"zadanie-5194","status":"publish","type":"page","link":"http:\/\/helloege.ru\/?page_id=1820","title":{"rendered":"\u0417\u0430\u0434\u0430\u043d\u0438\u0435 5194"},"content":{"rendered":"<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\">\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\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;A&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">A<\/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;mi&gt;B&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">B<\/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;C&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">C<\/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\u0430\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 <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;C&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;\">CC<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\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;C&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">AC<\/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\u0434\u0438\u0430\u043c\u0435\u0442\u0440 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f. \u0418\u0437\u0432\u0435\u0441\u0442\u043d\u043e, \u0447\u0442\u043e\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;mo&gt;&amp;#x2220;&lt;\/mo&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;30&lt;\/mn&gt;&lt;mi&gt;&amp;#xB0;&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">\u2220ACB=30\u00b0<\/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;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">AB=\u200b<span class=\"math inherit-color\">\\( \\sqrt{2} \\)<\/span>\u200b<\/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;C&lt;\/mi&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;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">CC<sub>1<\/sub>=2<\/span>.<\/p>\n<p style=\"font-weight: 400;\">\u0430)\u00a0\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \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;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\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;mi&gt;C&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">BC<\/span>\u00a0\u0440\u0430\u0432\u0435\u043d\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;mn&gt;45&lt;\/mn&gt;&lt;mi&gt;&amp;#xB0;&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">45\u00b0<\/span>.<\/p>\n<p style=\"font-weight: 400;\">\u0431)\u00a0\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0431\u044a\u0451\u043c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430.<\/p>\n<hr \/>\n<p>\u041e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435, \u0447\u0442\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a ABC &#8212; \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u044b\u0439. \u041d\u0430\u0439\u0442\u0438 AC, BC.<\/p>\n<p>AD || BC. AD=BC &#8212; \u043e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435. AD \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e DC. \u041f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u043e &#8230;. AD \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e DC<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;\"><sub>1<\/sub><\/span>.<\/p>\n<p>\u041e\u0431\u043e\u0441\u043d\u0443\u0439\u0442\u0435, \u0447\u0442\u043e \u2220 DAC<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;\"><sub>1<\/sub><\/span> \u0440\u0430\u0432\u0435\u043d\u00a0 \u0443\u0433\u043b\u0443 \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u044f\u043c\u044b\u043c\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;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\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;mi&gt;C&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">BC. \u041d\u0430\u0439\u0442\u0438 \u200b<span class=\"math inherit-color \">\\( cos(\\angle DAC_1) \\)<\/span>\u200b<\/span><\/p>\n<p>\u041d\u0430\u0439\u0442\u0438\u00a0 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f, \u043e\u0431\u044a\u0435\u043c\u00a0 \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430.<\/p>\n<hr \/>\n<p>\u041e\u0442\u0432\u0435\u0442:\u200b<span class=\"math inherit-color _focus\">\\( 4\\pi \\)<\/span>\u200b<\/p>\n<p style=\"font-weight: 400;\"><\/div><\/div> <div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1836 size-full\" src=\"http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h5194_1.png\" alt=\"\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\u00a0A,\u00a0B\u00a0\u0438\u00a0C, \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\u2014\u00a0\u0442\u043e\u0447\u043a\u0430\u00a0C1, \u043f\u0440\u0438\u0447\u0451\u043c CC1\u00a0\u2014\u00a0\u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0449\u0430\u044f \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430, \u0430\u00a0AC\u00a0\u2014\u00a0\u0434\u0438\u0430\u043c\u0435\u0442\u0440 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f. \u0418\u0437\u0432\u0435\u0441\u0442\u043d\u043e, \u0447\u0442\u043e\u00a0\u2220ACB=30\u00b0,\u00a0AB=\u200b\\( \\sqrt{2} \\)\u200b,\u00a0CC1=2. \u0430)\u00a0\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \u0443\u0433\u043e\u043b \u043c\u0435\u0436\u0434\u0443 \u043f\u0440\u044f\u043c\u044b\u043c\u0438\u00a0AC1\u00a0\u0438\u00a0BC\u00a0\u0440\u0430\u0432\u0435\u043d\u00a045\u00b0. \u0431)\u00a0\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0431\u044a\u0451\u043c \u0446\u0438\u043b\u0438\u043d\u0434\u0440\u0430.\" width=\"232\" height=\"440\" data-wp-pid=\"1836\" srcset=\"http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h5194_1.png 232w, http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h5194_1-158x300.png 158w\" sizes=\"(max-width: 232px) 100vw, 232px\" \/><\/p>\n<p style=\"font-weight: 400;\"><\/div><\/div><\/div>\n<p style=\"font-weight: 400;\">\n","protected":false},"excerpt":{"rendered":"","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\/1820"}],"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=1820"}],"version-history":[{"count":14,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/1820\/revisions"}],"predecessor-version":[{"id":1831,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/1820\/revisions\/1831"}],"wp:attachment":[{"href":"http:\/\/helloege.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}