{"id":1651,"date":"2020-12-11T11:23:27","date_gmt":"2020-12-11T08:23:27","guid":{"rendered":"http:\/\/helloege.ru\/?page_id=1651"},"modified":"2021-12-09T15:11:16","modified_gmt":"2021-12-09T12:11:16","slug":"zadanie-4986","status":"publish","type":"page","link":"http:\/\/helloege.ru\/?page_id=1651","title":{"rendered":"\u0417\u0430\u0434\u0430\u043d\u0438\u0435 4986"},"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\">\u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0447\u0435\u0442\u044b\u0440\u0451\u0445\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u0439 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b <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;P&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PABCD<\/span>\u00a0\u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u0440\u0430\u043f\u0435\u0446\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;mrow&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">ABCD<\/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;mo&gt;&amp;#x2220;&lt;\/mo&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mo&gt;&amp;#x2220;&lt;\/mo&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;90&lt;\/mn&gt;&lt;mi&gt;&amp;#xB0;&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">\u2220BAD+\u2220ADC=90\u00b0<\/span>. \u041f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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;P&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PAB<\/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;P&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PCD<\/span>\u00a0\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \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;mi&gt;K&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">K<\/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\u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u044b\u0445\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;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">AB<\/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;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">CD<\/span>.<\/p>\n<p style=\"font-weight: 400;\">\u0430)\u00a0\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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;P&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PAB<\/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;P&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PCD<\/span>\u00a0\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b.<\/p>\n<p style=\"font-weight: 400;\">\u0431)\u00a0\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0431\u044a\u0451\u043c\u00a0\u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b\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;K&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;P&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">KBCP<\/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;mi&gt;B&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">AB=BC=CD=4<\/span>, \u0430 \u0432\u044b\u0441\u043e\u0442\u0430 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b\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;P&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PABCD<\/span> \u0440\u0430\u0432\u043d\u0430 9.<\/p>\n<hr \/>\n<p style=\"font-weight: 400;\">\u041f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0443: &#171;\u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043a \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438, \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f, \u0442\u043e \u0438\u0445 \u043b\u0438\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f&#8230;&#187; \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e PK &#8212; \u0432\u044b\u0441\u043e\u0442\u0430 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b.<\/p>\n<p style=\"font-weight: 400;\">\u0422.\u043a. PK, KA \u0438 KD \u0432\u0437\u0430\u0438\u043c\u043d\u043e \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b, \u0442\u043e \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\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;P&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PAB<\/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;P&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PCD .<\/span><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;P&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">..<\/span><\/p>\n<p style=\"font-weight: 400;\">\u041e\u0431\u043e\u0441\u043d\u043e\u0432\u0430\u0442\u044c, \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;B&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mo&gt;&amp;#x2220;&lt;\/mo&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;mi&gt;D&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;90&lt;\/mn&gt;&lt;mi&gt;&amp;#xB0;&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">\u2220BAD \u0438 \u2220ADC &#8212; \u0443\u0433\u043b\u044b \u043f\u0440\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0438 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0442\u0440\u0430\u043f\u0435\u0446\u0438\u044f &#8212; \u0440\u0430\u0432\u043d\u043e\u0431\u0435\u0434\u0440\u0435\u043d\u043d\u0430\u044f.<\/span><\/p>\n<p style=\"font-weight: 400;\">\u041d\u0430\u0439\u0442\u0438 DA. \u041d\u0430\u0439\u0442\u0438 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 BKC.<\/p>\n<hr \/>\n<p style=\"font-weight: 400;\">\u041e\u0442\u0432\u0435\u0442: 12<\/div><\/div> <div class=\"su-column su-column-size-1-2\"><div class=\"su-column-inner su-u-clearfix su-u-trim\">\n<p style=\"font-weight: 400;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1654 size-full\" src=\"http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h4986_1.png\" alt=\"\u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0447\u0435\u0442\u044b\u0440\u0451\u0445\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u0439 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b PABCD\u00a0\u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u0440\u0430\u043f\u0435\u0446\u0438\u044f\u00a0ABCD, \u043f\u0440\u0438\u0447\u0451\u043c\u00a0\u2220BAD+\u2220ADC=90\u00b0. \u041f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438\u00a0PAB\u00a0\u0438\u00a0PCD\u00a0\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f,\u00a0K\u00a0\u2014\u00a0\u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u044b\u0445\u00a0AB\u00a0\u0438\u00a0CD. \u0430)\u00a0\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438\u00a0PAB\u00a0\u0438\u00a0PCD\u00a0\u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b. \u0431)\u00a0\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0431\u044a\u0451\u043c\u00a0\u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b\u00a0KBCP, \u0435\u0441\u043b\u0438\u00a0AB=BC=CD=4, \u0430 \u0432\u044b\u0441\u043e\u0442\u0430 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b\u00a0PABCD \u0440\u0430\u0432\u043d\u0430 9.\" width=\"316\" height=\"476\" data-wp-pid=\"1654\" srcset=\"http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h4986_1.png 316w, http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h4986_1-199x300.png 199w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><\/div><\/div><\/div>\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\/1651"}],"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=1651"}],"version-history":[{"count":6,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/1651\/revisions"}],"predecessor-version":[{"id":1656,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/1651\/revisions\/1656"}],"wp:attachment":[{"href":"http:\/\/helloege.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}