{"id":1625,"date":"2020-12-09T14:27:35","date_gmt":"2020-12-09T11:27:35","guid":{"rendered":"http:\/\/helloege.ru\/?page_id=1625"},"modified":"2021-12-09T15:10:49","modified_gmt":"2021-12-09T12:10:49","slug":"zadanie-4948","status":"publish","type":"page","link":"http:\/\/helloege.ru\/?page_id=1625","title":{"rendered":"\u0417\u0430\u0434\u0430\u043d\u0438\u0435 4948"},"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\">\u041d\u0430 \u0440\u0451\u0431\u0440\u0430\u0445 <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;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\u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u0439 \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;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>\u00a0\u043e\u0442\u043c\u0435\u0447\u0435\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;M&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">M<\/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;N&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">N<\/span>\u00a0\u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e, \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;A&lt;\/mi&gt;&lt;mi&gt;M&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;mi&gt;M&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;mi&gt;N&lt;\/mi&gt;&lt;mo&gt;:&lt;\/mo&gt;&lt;mi&gt;N&lt;\/mi&gt;&lt;mi&gt;B&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mn&gt;1&lt;\/mn&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;\">AM:MB = CN:NB = 1:2<\/span>. \u0422\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;P&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">P<\/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;Q&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">Q<\/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\u0441\u0435\u0440\u0435\u0434\u0438\u043d\u044b \u0440\u0451\u0431\u0435\u0440\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;D&lt;\/mi&gt;&lt;mi&gt;A&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">DA<\/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;D&lt;\/mi&gt;&lt;mi&gt;C&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">DC<\/span>\u00a0\u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e.<\/p>\n<p style=\"font-weight: 400;\">\u0430)\u00a0\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \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;P&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">P<\/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;Q&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">Q<\/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;M&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">M<\/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;N&lt;\/mi&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">N<\/span>\u00a0\u043b\u0435\u0436\u0430\u0442 \u0432 \u043e\u0434\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438.<\/p>\n<p style=\"font-weight: 400;\">\u0431)\u00a0\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043e\u0431\u044a\u0451\u043c\u043e\u0432 \u043c\u043d\u043e\u0433\u043e\u0433\u0440\u0430\u043d\u043d\u0438\u043a\u043e\u0432, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\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;Q&lt;\/mi&gt;&lt;mi&gt;M&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/semantics&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\">PQM<\/span> \u0440\u0430\u0437\u0431\u0438\u0432\u0430\u0435\u0442 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u0443.<\/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-1628 size-full\" src=\"http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h4948_1.png\" alt=\"\u041d\u0430 \u0440\u0451\u0431\u0440\u0430\u0445 AB\u00a0\u0438\u00a0BC\u00a0\u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u0439 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b\u00a0ABCD\u00a0\u043e\u0442\u043c\u0435\u0447\u0435\u043d\u044b \u0442\u043e\u0447\u043a\u0438\u00a0M\u00a0\u0438\u00a0N\u00a0\u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e, \u043f\u0440\u0438\u0447\u0451\u043c\u00a0AM:MB = CN:NB = 1:2. \u0422\u043e\u0447\u043a\u0438\u00a0P\u00a0\u0438\u00a0Q\u00a0\u2014\u00a0\u0441\u0435\u0440\u0435\u0434\u0438\u043d\u044b \u0440\u0451\u0431\u0435\u0440\u00a0DA\u00a0\u0438\u00a0DC\u00a0\u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e. \u0430)\u00a0\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435, \u0447\u0442\u043e \u0442\u043e\u0447\u043a\u0438\u00a0P,\u00a0Q,\u00a0M\u00a0\u0438\u00a0N\u00a0\u043b\u0435\u0436\u0430\u0442 \u0432 \u043e\u0434\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438. \u0431)\u00a0\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043e\u0431\u044a\u0451\u043c\u043e\u0432 \u043c\u043d\u043e\u0433\u043e\u0433\u0440\u0430\u043d\u043d\u0438\u043a\u043e\u0432, \u043d\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u00a0PQM \u0440\u0430\u0437\u0431\u0438\u0432\u0430\u0435\u0442 \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u0443.\" width=\"443\" height=\"337\" data-wp-pid=\"1628\" srcset=\"http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h4948_1.png 443w, http:\/\/helloege.ru\/wp-content\/uploads\/2020\/12\/h4948_1-300x228.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/div><\/div><\/div>\n<hr \/>\n<p>\u0414\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e PQ \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u0430 AC, MN \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u0430 AC, \u0438 PQ \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e MN.<\/p>\n<p style=\"font-weight: 400;\">\u041c\u043e\u0436\u043d\u043e \u043b\u0438 \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u0447\u0435\u0440\u0435\u0437 \u0434\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435?<\/p>\n<p>\u041a\u0430\u043a \u043e\u0442\u043d\u043e\u0441\u044f\u0442\u0441\u044f \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0438 \u0432\u044b\u0441\u043e\u0442\u044b \u043f\u0438\u0440\u0430\u043c\u0438\u0434 QAMNC \u0438 DABC? \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u0435\u043d \u043e\u0431\u044a\u0435\u043c \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b QAMNC, \u0435\u0441\u043b\u0438 \u043e\u0431\u044a\u0435\u043c D\u0410BC \u043f\u0440\u0438\u043d\u044f\u0442\u044c \u043d\u0430 1?<\/p>\n<p>\u041a\u0430\u043a \u043e\u0442\u043d\u043e\u0441\u044f\u0442\u0441\u044f \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0438 \u0432\u044b\u0441\u043e\u0442\u044b \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u00a0 QAPM \u0438 CADB, \u0435\u0441\u043b\u0438 \u0441\u0447\u0438\u0442\u0430\u0442\u044c ADB &#8212; \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f? \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u0435\u043d \u043e\u0431\u044a\u0435\u043c \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b QAPM, \u0435\u0441\u043b\u0438 \u043e\u0431\u044a\u0435\u043c C\u0410DB \u043f\u0440\u0438\u043d\u044f\u0442\u044c \u043d\u0430 1?<\/p>\n<hr \/>\n<p>\u041e\u0442\u0432\u0435\u0442:<span class=\"math inherit-color \">\\( \\frac{13}{23} \\)<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e PQ \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u0430 AC, MN \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u0430 AC, \u0438 PQ \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e MN. \u041c\u043e\u0436\u043d\u043e \u043b\u0438 \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u0447\u0435\u0440\u0435\u0437 \u0434\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u044f\u043c\u044b\u0435 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435? \u041a\u0430\u043a \u043e\u0442\u043d\u043e\u0441\u044f\u0442\u0441\u044f \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0438 \u0432\u044b\u0441\u043e\u0442\u044b \u043f\u0438\u0440\u0430\u043c\u0438\u0434 QAMNC \u0438 DABC? \u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u0435\u043d \u043e\u0431\u044a\u0435\u043c \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u044b QAMNC, \u0435\u0441\u043b\u0438 \u043e\u0431\u044a\u0435\u043c D\u0410BC \u043f\u0440\u0438\u043d\u044f\u0442\u044c \u043d\u0430 1? \u041a\u0430\u043a \u043e\u0442\u043d\u043e\u0441\u044f\u0442\u0441\u044f \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u0438 \u0432\u044b\u0441\u043e\u0442\u044b \u043f\u0438\u0440\u0430\u043c\u0438\u0434\u00a0 QAPM \u0438 CADB, \u0435\u0441\u043b\u0438 \u0441\u0447\u0438\u0442\u0430\u0442\u044c &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/helloege.ru\/?page_id=1625\" class=\"more-link\">\u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435<span class=\"screen-reader-text\"> \u00ab\u0417\u0430\u0434\u0430\u043d\u0438\u0435 4948\u00bb<\/span><\/a><\/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\/1625"}],"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=1625"}],"version-history":[{"count":7,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/1625\/revisions"}],"predecessor-version":[{"id":1637,"href":"http:\/\/helloege.ru\/index.php?rest_route=\/wp\/v2\/pages\/1625\/revisions\/1637"}],"wp:attachment":[{"href":"http:\/\/helloege.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1625"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}