{"id":202,"date":"2023-06-25T18:56:00","date_gmt":"2023-06-25T15:56:00","guid":{"rendered":"https:\/\/bagrut-ru.com\/?p=202"},"modified":"2025-09-04T17:44:34","modified_gmt":"2025-09-04T14:44:34","slug":"%d0%b1%d0%b0%d0%b3%d1%80%d1%83%d1%82-5-%d0%bb%d0%b5%d1%82%d0%be-2023-%d0%b2%d0%b0%d1%80%d0%b8%d0%b0%d0%bd%d1%82-35571-%d0%b7%d0%b0%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-2","status":"publish","type":"post","link":"https:\/\/bagrut-ru.com\/?p=202","title":{"rendered":"\u0411\u0410\u0413\u0420\u0423\u0422 (5). \u041b\u0415\u0422\u041e 2023, \u0412\u0410\u0420\u0418\u0410\u041d\u0422 35571, \u0417\u0410\u0414\u0410\u041d\u0418\u0415 2"},"content":{"rendered":"\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"825\" data-id=\"203\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u0442\u0435\u0442\u043e-2023-14-1024x825.png\" alt=\"\" class=\"wp-image-203\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u0442\u0435\u0442\u043e-2023-14-1024x825.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u0442\u0435\u0442\u043e-2023-14-300x242.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u0442\u0435\u0442\u043e-2023-14-768x619.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u0442\u0435\u0442\u043e-2023-14.png 1194w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"717\" data-id=\"204\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u043b\u0435\u0442\u043e-2023-15-1024x717.png\" alt=\"\" class=\"wp-image-204\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u043b\u0435\u0442\u043e-2023-15-1024x717.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u043b\u0435\u0442\u043e-2023-15-300x210.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u043b\u0435\u0442\u043e-2023-15-768x537.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u0431\u0430\u0433\u0440\u0443\u0442-\u043b\u0435\u0442\u043e-2023-15.png 1226w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/1\/RUS\/35571.pdf\" data-type=\"link\" data-id=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/1\/RUS\/35571.pdf\">\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/a><\/p>\n\n\n<div class=\"spoiler-wrap\">\n\t\t\t\t<div class=\"spoiler-head folded\">\u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/div>\n\t\t\t\t<div class=\"spoiler-body\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u05d0)<\/strong> \u0412\u0441\u043f\u043e\u043c\u043d\u0438\u043c: \u0433\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f <em>\u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f<\/em>, \u0435\u0441\u043b\u0438 \\( \\left| {q}\\right|&lt;1 \\). \u0422\u043e \u0435\u0441\u0442\u044c \u043c\u043e\u0434\u0443\u043b\u044c \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043f\u043e\u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043c\u0435\u043d\u044c\u0448\u0435 \u043c\u043e\u0434\u0443\u043b\u044f \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \u0418\u0437 \u0434\u0432\u0443\u0445 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0431\u043e\u043b\u044c\u0448\u0435 \u0442\u043e, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u0431\u043e\u043b\u044c\u0448\u0435 \u043c\u043e\u0434\u0443\u043b\u044c. \u0418\u0437 \u0434\u0432\u0443\u0445 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0431\u043e\u043b\u044c\u0448\u0435 \u0442\u043e, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0433\u043e \u043c\u0435\u043d\u044c\u0448\u0435 \u043c\u043e\u0434\u0443\u043b\u044c.  <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u043c \\( n\\)-\u0439 \u0447\u043b\u0435\u043d \u043d\u043e\u0432\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439  \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \\(  d_n\\), \u043f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \\(  d_n=\\frac{a_n}{b_n}\\). \u0422\u0430\u043a \u043a\u0430\u043a \\(  d_n\\) &#8212; \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f, \u0435\u0435 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044e \u043b\u044e\u0431\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438, \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441\u043e \u0432\u0442\u043e\u0440\u043e\u0433\u043e,  \u043a \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c\u0443. \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438,  \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u043d\u043e\u0432\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \\(  q_D=\\frac{d_2}{d_1}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(  d_1=\\frac{a_1}{b_1}\\), \\(  d_2=\\frac{a_2}{b_2}=\\frac{a_1 \\cdot q_A}{b_1 \\cdot q_B}\\)   <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(q_D=\\frac{d_2}{d_1}=\\frac{\\frac{a_1 \\cdot q_A}{b_1 \\cdot q_B}}{\\frac{a_1}{b_1}}=\\frac{q_A}{q_B}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442: <\/em>\\(  q_D=\\frac{q_A}{q_B}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u05d1)<\/strong> (1) \u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0410 \u0441\u0445\u043e\u0434\u044f\u0449\u0430\u044f\u0441\u044f, \u043d\u0435 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u044e\u0449\u0430\u044f \u0438 \u043d\u0435 \u0443\u0431\u044b\u0432\u0430\u044e\u0449\u0430\u044f. \u0422\u0430\u043a  \u043a\u0430\u043a \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0410 \u0441\u0445\u043e\u0434\u044f\u0449\u0430\u044f\u0441\u044f, \\( \\left| {q_A} \\right|&lt;1 \\). \u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438   \\(  q_A &gt;0\\). \u0422\u043e\u0433\u0434\u0430, \u0435\u0441\u043b\u0438  \\( a_1 &gt;0 \\) \u0438 \\( 0&lt;q_A &lt;1 \\), \u0442\u043e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0443\u0431\u044b\u0432\u0430\u044e\u0449\u0435\u0439.   \u0415\u0441\u043b\u0438  \\( a_1 &lt;0 \\) \u0438 \\( 0&lt;q_A &lt;1 \\), \u0442\u043e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u044e\u0449\u0435\u0439. \u0412 \u043b\u044e\u0431\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043e\u043d\u0430 \u0431\u0443\u0434\u0435\u0442 \u043c\u043e\u043d\u043e\u0442\u043e\u043d\u043d\u043e\u0439. \u041d\u043e \u044d\u0442\u043e \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u0440\u0435\u0447\u0438\u0442 \u0443\u0441\u043b\u043e\u0432\u0438\u044e, \u0447\u0442\u043e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0410 \u043d\u0435 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u044e\u0449\u0430\u044f \u0438 \u043d\u0435 \u0443\u0431\u044b\u0432\u0430\u044e\u0449\u0430\u044f. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\( q_A &lt;0 \\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0412 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u044e\u0449\u0430\u044f. \u0414\u043e\u043a\u0430\u0436\u0435\u043c, \u0447\u0442\u043e \\(   q_B &gt;0 \\). \u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u0447\u0442\u043e \\(   q_B &lt;0 \\), \u0442\u043e\u0433\u0434\u0430 \u0437\u043d\u0430\u043a \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438, \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441\u043e \u0432\u0442\u043e\u0440\u043e\u0433\u043e, \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u0443 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0433\u043e \u0447\u043b\u0435\u043d\u0430. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043d\u0435 \u0431\u0443\u0434\u0435\u0442 \u043c\u043e\u043d\u043e\u0442\u043e\u043d\u043d\u043e\u0439. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e,  \\(   q_B &gt;0 \\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e\u0433\u0434\u0430 \\(  q_D=\\frac{q_B}{q_A}&lt;0\\) <br><em>\u041e\u0442\u0432\u0435\u0442<\/em>: \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 (1) \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0432\u0435\u0440\u043d\u044b\u043c. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(2) \u041f\u0440\u043e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0412 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e, \u0447\u0442\u043e \u043e\u043d\u0430 <em>\u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442<\/em> \u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f. \u041f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u043c\u043e\u043d\u043e\u0442\u043e\u043d\u043d\u043e\u0439 , \u0442\u043e\u043b\u044c\u043a\u043e \u0435\u0441\u043b\u0438 \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0439 \u0437\u043d\u0430\u043a. \u041f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0412 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442, \u0435\u0441\u043b\u0438 \\(  b_1 &gt;0 \\) \u0438 \\(   q_B &gt;1 \\), \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435\u0442 \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b, \u043d\u043e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f,  \u0438\u043b\u0438 \u0435\u0441\u043b\u0438 \\( b_1 &lt;0 \\) \u0438 \\( 0&lt;q_B &lt;1 \\), \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0432\u0441\u0435 <em>\u0447\u043b\u0435\u043d\u044b \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b \u0438 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f<\/em>. \u041d\u0430\u0441 \u0443\u0441\u0442\u0440\u0430\u0438\u0432\u0430\u0435\u0442 \u0432\u0442\u043e\u0440\u043e\u0439 \u0441\u043b\u0443\u0447\u0430\u0439, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0441\u0435 \u0447\u043b\u0435\u043d\u044b \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u0412 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442<\/em>: \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 (2)  \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0432\u0435\u0440\u043d\u044b\u043c. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u05d2)<\/strong> \u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \u0447\u0438\u0441\u043b\u0430 \\( c_1, \\ c_2, \\ c_3\\) \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0447\u043b\u0435\u043d\u0430\u043c\u0438 \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438. \u041f\u0443\u0441\u0442\u044c \\(m\\) &#8212;  \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u044c \u044d\u0442\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438. \u0422\u043e\u0433\u0434\u0430 \\(c_2=c_1+m, \\ c_3=c_1+2m\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \\(c_2=-\u0441_1\\), \u0442\u043e \u0435\u0441\u0442\u044c \\(c_1+m=-\u0441_1\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u0430\u043a \u0436\u0435 \u043f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \\(\\frac{c_1 \\cdot c_2}{c_3}=-\\frac{1}{45}\\), \u0442\u043e \u0435\u0441\u0442\u044c \\(\\frac{c_1 \\cdot (c_1+m)}{c_1+2m}=-\\frac{1}{45}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0417\u0430\u043f\u0438\u0448\u0435\u043c \u044d\u0442\u0438 \u0434\u0432\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0438 \u0440\u0435\u0448\u0438\u043c \u0435\u0435. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\Bigg \\{  \\begin {matrix} {c_1+m=-\u0441_1}\\\\{\\frac{c_1 \\cdot (c_1+m)}{c_1+2m}=-\\frac{1}{45}}\\end {matrix}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u043f\u0435\u0440\u0432\u043e\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u0432\u044b\u0440\u0430\u0437\u0438\u043c \\(m\\) \u0447\u0435\u0440\u0435\u0437 \\(c_1\\) \u0438 \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\Bigg \\{  \\begin {matrix} {m=-2\u0441_1}\\\\{\\frac{c_1 \\cdot (c_1-2\u0441_1)}{c_1+2(-2\u0441_1)}=-\\frac{1}{45}}\\end {matrix}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\Bigg \\{  \\begin {matrix} {m=-2\u0441_1}\\\\{\\frac{-{\u0441_1}^2}{-3\u0441_1}=-\\frac{1}{45}}\\end {matrix}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\Bigg \\{  \\begin {matrix} {m=-2\u0441_1}\\\\{\\frac{c_1}{3}=-\\frac{1}{45}}\\end {matrix}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\Bigg \\{  \\begin {matrix} {m=-2\u0441_1}\\\\{c_1=-\\frac{1}{15}}\\end {matrix}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442<\/em>: \\(c_1=-\\frac{1}{15}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u05d3)<\/strong> \u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0410 \u0440\u0430\u0432\u0435\u043d \\(c_1\\), \u0442\u043e \u0435\u0441\u0442\u044c \\(q_A=-\\frac{1}{15}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \u0437\u0430\u0434\u0430\u0447\u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\frac{a_1}{b_1}+\\frac{a_2}{b_2}+\\frac{a_3}{b_3}+&#8230;=\\frac{a_1+a_2+a_3+&#8230;}{b_1+b_2+b_3+&#8230;}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043b\u0435\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\frac{a_1}{b_1}+\\frac{a_2}{b_2}+\\frac{a_3}{b_3}+&#8230;= \\frac{a_1}{b_1}+\\frac{a_1\\cdot {q_A}}{b_1\\cdot {q_B}}+\\frac{a_1\\cdot {q_A}^2}{b_1 \\cdot {q_B}^2}+&#8230;= \\frac{a_1}{b_1}(1+\\frac{q_A}{q_B}+(\\frac{q_A}{q_B})^2+&#8230;)\\) <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">(1)<\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0437 \u043f\u0443\u043d\u043a\u0442\u0430 <strong>(\u05d0)<\/strong> \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \\(\\frac{q_A}{q_B}\\) &#8212; \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0437\u043d\u0430\u0447\u0438\u0442, \\( \\left| {\\frac{q_A}{q_B}} \\right|&lt;1 \\). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0443\u043c\u043c\u0443 \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0432\u0435\u043d 1, \u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d \\(\\frac{q_A}{q_B}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0421\u0443\u043c\u043c\u0443 \u0441\u0445\u043e\u0434\u044f\u0449\u0435\u0439\u0441\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0432\u0435\u043d \\( b_1 \\), \u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d \\(q\\) \u043c\u044b \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">\\(S=\\frac{b_1}{1-q}\\)<\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432 \u043b\u0435\u0432\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 (1) \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \\(\\frac{a_1}{b_1}\\cdot  \\frac{1}{1-\\frac{q_A}{q_B}}=\\frac{a_1}{b_1}\\cdot \\frac{1}{\\frac{q_B-q_A}{q_B}}=\\frac{a_1}{b_1}\\cdot\\frac {q_B}{q_B-q_A}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u043f\u0440\u0430\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\( \\frac{a_1+a_2+a_3+&#8230;}{b_1+b_2+b_3+&#8230;}=\\frac{a_1+a_1\\cdot q_A+a_1\\cdot {q_A}^2+&#8230;}{b_1+b_1\\cdot q_B+b_1\\cdot {q_B}^2+&#8230;}=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=\\frac{a_1}{b_1}\\cdot  (\\frac{1+q_A+{q_A}^2+&#8230;}{1+q_B+{q_B}^2+&#8230;})\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u0435  \u0434\u0440\u043e\u0431\u0438 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u043c\u044b \u0438\u043c\u0435\u0435\u043c \u0441\u0445\u043e\u0434\u044f\u0449\u0443\u044e\u0441\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u044e, \u043f\u0435\u0440\u0432\u044b\u0439 \u0447\u043b\u0435\u043d \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0432\u0435\u043d 1, \u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d \\(q_A\\). \u0422\u043e\u0433\u0434\u0430 \\(1+q_A+{q_A}^2+&#8230;=\\frac{1}{1-q_A}\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0432 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435 \u0434\u0440\u043e\u0431\u0438 \u0432 \u0441\u043a\u043e\u0431\u043a\u0430\u0445 \u043f\u043e\u043b\u0443\u0447\u0438\u043c  \\(1+q_B+{q_B}^2+&#8230;=\\frac{1}{1-q_B}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e\u0433\u0434\u0430 \u0432 \u043f\u0440\u0430\u0432\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 (1) \u043f\u043e\u043b\u0443\u0447\u0438\u043c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=\\frac{a_1}{b_1}\\cdot (\\frac{1+q_A+{q_A}^2+&#8230;}{1+q_B+{q_B}^2+&#8230;})=\\frac{a_1}{b_1}\\cdot \\frac{\\frac{1}{1-q_A}}{\\frac{1}{1-q_B}}=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=\\frac{a_1}{b_1}\\cdot\\frac{1-q_B}{1-q_A}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0435\u0442 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u043b\u0435\u0432\u0443\u044e \u0438 \u043f\u0440\u0430\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u0438 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 (1). \u041f\u043e\u043b\u0443\u0447\u0438\u043c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{a_1}{b_1}\\cdot\\frac {q_B}{q_B-q_A}=\\frac{a_1}{b_1}\\cdot\\frac{1-q_B}{1-q_A}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0420\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u043e\u0431\u0435 \u0447\u0430\u0441\u0442\u0438 \u043d\u0430 \u0434\u0440\u043e\u0431\u044c  \\(\\frac{a_1}{b_1}\\)  \u0438 \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0432\u043c\u0435\u0441\u0442\u043e \\(q_A\\) \u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u043e\u0435   \u0432 \u043f\u0443\u043d\u043a\u0442\u0435 <strong>(\u05d2)<\/strong>. (\\(q_A=-\\frac{1}{15})\\) \u041f\u043e\u043b\u0443\u0447\u0438\u043c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac {q_B}{q_B-(-\\frac{1}{15}))}=\\frac{1-q_B}{1-(-\\frac{1}{15}))}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac {q_B}{q_B+\\frac{1}{15}}=\\frac{1-q_B}{1+\\frac{1}{15}}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0442\u0441\u044e\u0434\u0430: \\(q_B\\cdot (1+\\frac{1}{15})=(1-q_B)(q_B+\\frac{1}{15})\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0423\u043c\u043d\u043e\u0436\u0438\u043c \u043e\u0431\u0435 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043d\u0430 15:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(q_B\\cdot 16=(1-q_B)(15q_B+1)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0420\u0430\u0441\u043a\u0440\u043e\u0435\u043c \u0441\u043a\u043e\u0431\u043a\u0438, \u043f\u0435\u0440\u0435\u043d\u0435\u0441\u0435\u043c \u0432\u0441\u0435 \u0432\u043b\u0435\u0432\u043e \u0438 \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(15q_B^2+2q_B-1=0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \u041a\u043e\u0440\u043d\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \\(q_B=\\frac{1}{5},\\ q_B=-\\frac{1}{3}\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u043f\u0443\u043d\u043a\u0442\u0435 <strong>(\u05d1)<\/strong>  \u043c\u044b \u0434\u043e\u043a\u0430\u0437\u0430\u043b\u0438, \u0447\u0442\u043e \\(   q_B &gt;0 \\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442: <\/em> \\(q_B=\\frac{1}{5}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/div>\n\t\t\t<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-202","post","type-post","status-publish","format-standard","hentry","category-5"],"_links":{"self":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/202","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=202"}],"version-history":[{"count":89,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/202\/revisions"}],"predecessor-version":[{"id":1310,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/202\/revisions\/1310"}],"wp:attachment":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=202"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=202"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=202"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}