{"id":460,"date":"2023-07-01T15:05:34","date_gmt":"2023-07-01T12:05:34","guid":{"rendered":"https:\/\/bagrut-ru.com\/?p=460"},"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%b5-6","status":"publish","type":"post","link":"https:\/\/bagrut-ru.com\/?p=460","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 6"},"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=\"796\" data-id=\"461\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/33-1024x796.png\" alt=\"\" class=\"wp-image-461\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/33-1024x796.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/33-300x233.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/33-768x597.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/33.png 1338w\" 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=\"925\" data-id=\"462\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/34-1024x925.png\" alt=\"\" class=\"wp-image-462\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/34-1024x925.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/34-300x271.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/34-768x694.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/34.png 1160w\" 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\n<p class=\"wp-block-paragraph\"><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><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">(\u05d0)<\/mark><\/strong> \u0414\u043b\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)=\\frac{2a-x^2}{x}\\) \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u043f\u0440\u0438  \\(x\\ne 0\\), \\(a\\) &#8212; \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440, \\(a&gt;0\\)<\/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-cyan-blue-color\">(1)<\/mark> \u041d\u0430\u0439\u0434\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0445 \u043e\u0441\u044f\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 (\u0435\u0441\u043b\u0438 \u0442\u0430\u043a\u043e\u0432\u044b\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0410\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043e\u0441\u044f\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 &#8212; \u044d\u0442\u043e  \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u0438 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043d\u044b\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434 \\(x=x_0\\). \u0415\u0441\u043b\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0434\u0440\u043e\u0431\u044c , \u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \\(x_0\\) &#8212; \u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \\(x\\), \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u0438 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e. \u0412 \u0441\u043b\u0443\u0447\u0430\u0435 \u0434\u0430\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)=\\frac{2a-x^2}{x}\\) \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e \u043f\u0440\u0438 \\(x=0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e,  \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \\(x=0\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0413\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434 \\(y=y_0\\),  \u0433\u0434\u0435 \\(y_0\\) &#8212; \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043a \u043a\u043e\u0442\u043e\u0440\u043e\u043c\u0443 \u0441\u0442\u0440\u0435\u043c\u0438\u0442\u0441\u044f  \\(y=f(x)\\) \u0435\u0441\u043b\u0438 \\(x\\) \u0441\u0442\u0440\u0435\u043c\u0438\u0442\u0441\u044f \u043a \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0441\u0442\u0438. \u0413\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442, \u0435\u0441\u043b\u0438 \u0432 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u0435 \u0434\u0440\u043e\u0431\u0438 \u0441\u0442\u043e\u044f\u0442 \u043c\u043d\u043e\u0433\u043e\u0447\u043b\u0435\u043d\u044b \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438. \u0422\u0430\u043a \u043a\u0430\u043a \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)=\\frac{2a-x^2}{x}\\) \u0440\u0430\u0432\u043d\u0430 2, \u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044f \u0440\u0430\u0432\u043d\u0430 1, \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044f \u0431\u043e\u043b\u044c\u0448\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044f,  \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0430\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \\(x=0\\), \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u043d\u0435\u0442. <\/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-cyan-blue-color\">(2)<\/mark> \u0414\u043e\u043a\u0430\u0436\u0435\u043c, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(f(x)=\\frac{2a-x^2}{x}\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u0430\u044f. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439, \u0435\u0441\u043b\u0438 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \\(x\\) \u0438\u0437 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\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=\"has-text-align-center wp-block-paragraph\">\\(f(-x)=-f(x)\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u043e\u0432\u0435\u0440\u0438\u043c: \\(f(-x)=\\frac{2a-(-x)^2}{-x}=\\frac{2a-x^2}{-x}=-\\frac{2a-x^2}{x}=- f(x)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u042d\u0442\u043e \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e \u0432\u0435\u0440\u043d\u043e \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \\(x\\ne 0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0434\u0430\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u0430\u044f. <\/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-cyan-blue-color\">(3)<\/mark> \u041d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=\\frac{2a-x^2}{x}\\) \u0441 \u043e\u0441\u044f\u043c\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e \\(X\\). \u0412\u0441\u0435 \u0442\u043e\u0447\u043a\u0438, \u043b\u0435\u0436\u0430\u0449\u0438\u0435 \u043d\u0430 \u043e\u0441\u0438 \\(X\\) \u0438\u043c\u0435\u044e\u0442 \u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443, \u0440\u0430\u0432\u043d\u0443\u044e 0. \\((y=0)\\). \u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \\(y=0\\) \u0432 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(0=\\frac{2a-x^2}{x}\\). \u0414\u0440\u043e\u0431\u044c \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e, \u0435\u0441\u043b\u0438 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e, \u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u043d\u0435 \u0440\u0430\u0432\u0435\u043d.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(2a-x^2=0\\) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(x^2=2a\\), \\(x=\\sqrt{2a}\\) \u0438\u043b\u0438 \\(x=-\\sqrt{2a}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e \\(X\\): \\((-\\sqrt{2a},0)\\) \u0438  \\((\\sqrt{2a},0)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e \\(Y\\). \u0412\u0441\u0435 \u0442\u043e\u0447\u043a\u0438, \u043b\u0435\u0436\u0430\u0449\u0438\u0435 \u043d\u0430 \u043e\u0441\u0438 \\(Y\\) \u0438\u043c\u0435\u044e\u0442 \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443, \u0440\u0430\u0432\u043d\u0443\u044e  0. \\((x=0)\\). \u041d\u043e \u0442\u043e\u0447\u043a\u0430 \\(x=0\\) \u043d\u0435 \u0432\u0445\u043e\u0434\u0438\u0442 \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(y=\\frac{2a-x^2}{x}\\)  \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e \\(Y\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442: <\/em>\u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e \\(X\\): \\((-\\sqrt{2a},0)\\) \u0438  \\((\\sqrt{2a},0)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e  \\(Y\\) \u043d\u0435\u0442. <\/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-cyan-blue-color\">(4)<\/mark> \u041d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0438 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044f \u0438 \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u042d\u0442\u043e \u043c\u043e\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0434\u0432\u0443\u043c\u044f \u0441\u043f\u043e\u0441\u043e\u0431\u0430\u043c\u0438.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>1 \u0441\u043f\u043e\u0441\u043e\u0431. <\/em>\u0412 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(y=\\frac{2a-x^2}{x}\\) \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u043f\u043e\u0447\u043b\u0435\u043d\u043d\u043e \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u043d\u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c. \u041f\u043e\u043b\u0443\u0447\u0438\u043c: \\(y=\\frac{2a}{x}+\\frac{-x^2}{x}=\\frac{2a}{x}-x\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041c\u044b \u043c\u043e\u0436\u0435\u043c \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c \u0438\u0441\u0445\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e  \\(\\frac{2a-x^2}{x}\\)  \u043a\u0430\u043a \u0441\u0443\u043c\u043c\u0443 \u0434\u0432\u0443\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \\( \\frac{2a}{x}\\) \u0438 \\(-x\\). \u0422\u0430\u043a \u043a\u0430\u043a \u043f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \\(a&gt;0\\), \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(\\frac{2a}{x}\\) &#8212; \u0433\u0438\u043f\u0435\u0440\u0431\u043e\u043b\u0430, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u0432  \u043f\u0435\u0440\u0432\u043e\u0439 \u0438 \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u0445 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(\\frac{2a}{x}\\)  \u0443\u0431\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0432\u0441\u0435\u0439 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0413\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(-x\\) &#8212; \u043f\u0440\u044f\u043c\u0430\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0431\u0438\u0441\u0441\u0435\u043a\u0442\u0440\u0438\u0441\u043e\u0439 2 \u0438 4 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u0445 \u0443\u0433\u043b\u043e\u0432, \u0442\u043e \u0435\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f  \\(-x\\)  \u0442\u0430\u043a\u0436\u0435 \u0443\u0431\u044b\u0432\u0430\u0435\u0442. \u0421\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u0443\u0431\u044b\u0432\u0430\u044e\u0449\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 &#8212; \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0443\u0431\u044b\u0432\u0430\u044e\u0449\u0430\u044f. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0444\u0443\u043d\u043a\u0446\u0438\u044f  \\(\\frac{2a-x^2}{x}\\) \u0443\u0431\u044b\u0432\u0430\u0435\u0442 \u043f\u0440\u0438 \\(x&lt;0\\) \u0438 \\(x&gt;0\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>2 \u0441\u043f\u043e\u0441\u043e\u0431.<\/em> \u041d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(\\frac{2a-x^2}{x}\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0434\u0440\u043e\u0431\u0438 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043f\u043e \u0442\u0430\u043a\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">\\((\\frac{U}{V})&#8217;=\\frac{U&#8217;V-V&#8217;U}{V^2}\\)<\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u044d\u0442\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-black-color\"> \\((\\frac{2a-x^2}{x})&#8217;=\\frac{(2a-x^2)&#8217;\\cdot x-x&#8217;\\cdot (2a-x^2)}{x^2}=\\frac{-2x^2-2a+x^2}{x^2}=\\frac{-2a-x^2}{x^2}\\)<\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0427\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u0438 \u043c\u0435\u043d\u044c\u0448\u0435 \u043d\u0443\u043b\u044f, \u0442\u0430\u043a \u043a\u0430\u043a \\(-x^2\\le 0, \\ -2a&lt;0\\), \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u0438 \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0443\u043b\u044f, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\((\\frac{2a-x^2}{x})'&lt;0\\) \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0443\u0431\u044b\u0432\u0430\u0435\u0442 \u043d\u0430 \u0432\u0441\u0435 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u0442\u043e \u0435\u0441\u0442\u044c \u043f\u0440\u0438 \u043f\u0440\u0438 \\(x&lt;0\\) \u0438 \\(x&gt;0\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u0443\u0431\u044b\u0432\u0430\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(x&lt;0\\) \u0438 \\(x&gt;0\\), \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u043d\u0438\u044f \u043d\u0435\u0442. <\/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-cyan-blue-color\">(5) <\/mark>\u041d\u0430\u0439\u0434\u0435\u043c \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u0432\u043e\u0433\u043d\u0443\u0442\u043e\u0441\u0442\u0438 \u0432\u0432\u0435\u0440\u0445 \u0438 \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u0432\u043e\u0433\u043d\u0443\u0442\u043e\u0441\u0442\u0438 \u0432\u043d\u0438\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(\\frac{2a-x^2}{x}\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u043d\u0438\u0437 (\\(\\bigcap\\)) \u0432 \u0442\u0435\u0445 \u0442\u043e\u0447\u043a\u0430\u0445, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043c\u0435\u043d\u044c\u0448\u0435 \u043d\u0443\u043b\u044f, \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u0432\u0435\u0440\u0445 (\\(\\bigcup\\)) \u0432 \u0442\u0435\u0445 \u0442\u043e\u0447\u043a\u0430\u0445, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0443\u043b\u044f. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \u0432\u0442\u043e\u0440\u0443\u044e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(\\frac{2a-x^2}{x}\\). \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0443\u0436\u043d\u043e \u0432\u0437\u044f\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u043e\u0442 \u043f\u0435\u0440\u0432\u043e\u0439 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439: \\((\\frac{-2a-x^2}{x^2})&#8217;\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\((\\frac{-2a-x^2}{x^2})&#8217;=\\frac{(-2a-x^2)&#8217;\\cdot x^2-(x^2)&#8217;\\cdot (-2a-x^2)}{x^4}=\\frac{4ax}{x^4}\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(4ax&gt;0\\) \u043f\u0440\u0438 \\(x&gt;0\\), \\(4ax&lt;0\\) \u043f\u0440\u0438 \\(x&lt;0\\), \\(x^4&gt;0\\) (\\(x\\ne 0\\), \\(a&gt;0\\)). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0443\u043b\u044f \u043f\u0440\u0438 \\(x&gt;0\\) \u0438 \u043c\u0435\u043d\u044c\u0448\u0435 \u043d\u0443\u043b\u044f \u043f\u0440\u0438 \\(x&lt;0\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e\u043b\u0443\u0447\u0430\u0435\u043c, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(\\frac{2a-x^2}{x}\\) \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u043d\u0438\u0437 \u043f\u0440\u0438 \\(x&lt;0\\) \u0438 \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u0432\u0435\u0440\u0445 \u043f\u0440\u0438 \\(x&gt;0\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(\\frac{2a-x^2}{x}\\) \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u043d\u0438\u0437 \u043f\u0440\u0438 \\(x&lt;0\\) \u0438 \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u0432\u0435\u0440\u0445 \u043f\u0440\u0438 \\(x&gt;0\\).<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">(\u05d1)<\/mark><\/strong> \u0421 \u0443\u0447\u0435\u0442\u043e\u043c \u043f. <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-black-color\">(\u05d0)<\/mark><\/strong> \u043d\u0430\u0447\u0435\u0440\u0442\u0438\u043c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438   \\(\\frac{2a-x^2}{x}\\). \u0422\u0430\u043a \u043a\u0430\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u0430\u044f, \u0435\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u043d \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u041c\u043e\u0436\u0435\u043c \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0434\u043b\u044f \\(x&gt;0\\), \u0430 \u0437\u0430\u0442\u0435\u043c \u043e\u0442\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u044c \u0435\u0433\u043e \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u043e\u0447\u043a\u0438 (0,0). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f  \\(\\frac{2a-x^2}{x}\\) \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435  \\(x&gt;0\\) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a  \u0432 \u0442\u043e\u0447\u043a\u0435  \\(x=\\sqrt{2a}\\). \u041f\u0440\u0438 \\(x&gt;\\sqrt{2a}\\)  \\(f(x)=\\frac{2a-x^2}{x}&lt;0\\). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0438 \\(0&lt;x&lt;\\sqrt{2a}\\)  \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(f(x)=\\frac{2a-x^2}{x}&gt;0\\). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u0432\u0435\u0440\u0445 \u043f\u0440\u0438 \\(x&gt;0\\).  <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430 \u0440\u0438\u0441. 1 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0430 \u0447\u0430\u0441\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(\\frac{2a-x^2}{x}\\) \u043d\u0430 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0435  \\(x&gt;0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u0435\u043f\u0435\u0440\u044c \u043e\u0442\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u043c \u044d\u0442\u0443 \u0447\u0430\u0441\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442. \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)\\). \u0413\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)\\) \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d \u043d\u0430 \u0440\u0438\u0441.2<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"702\" height=\"670\" data-id=\"497\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/35.png\" alt=\"\" class=\"wp-image-497\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/35.png 702w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/35-300x286.png 300w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><figcaption class=\"wp-element-caption\">\u0440\u0438\u0441.1<\/figcaption><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"716\" height=\"682\" data-id=\"503\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/36-1.png\" alt=\"\" class=\"wp-image-503\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/36-1.png 716w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/36-1-300x286.png 300w\" sizes=\"auto, (max-width: 716px) 100vw, 716px\" \/><figcaption class=\"wp-element-caption\">\u0440\u0438\u0441.2<\/figcaption><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">(\u05d2) <\/mark><\/strong>\u041d\u0430\u0447\u0435\u0440\u0442\u0438\u043c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(g(x)=|f(x)|-b\\), \u0433\u0434\u0435 \\(b&gt;0\\). \u0422\u043e \u0435\u0441\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(g(x)= |\\frac{2a-x^2}{x}|-b\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0427\u0442\u043e\u0431\u044b \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)\\)  \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=|f(x)|\\),  \u043d\u0443\u0436\u043d\u043e \u0442\u0443 \u0447\u0430\u0441\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)\\), \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0430 \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 \\(X\\)  \u043e\u0442\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u044d\u0442\u043e \u043e\u0441\u0438. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0427\u0442\u043e\u0431\u044b \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)\\)  \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)-b, \\ b&gt;0\\), \u043d\u0443\u0436\u043d\u043e \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)\\) \u0441\u0434\u0432\u0438\u043d\u0443\u0442\u044c \u043d\u0430 \\( b\\) \u0435\u0434\u0438\u043d\u0438\u0446 \u0432\u043d\u0438\u0437 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 \\( Y\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0413\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(g(x)=|f(x)|-b\\)  \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d \u043d\u0430 \u0440\u0438\u0441. 4<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-5 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"698\" height=\"712\" data-id=\"510\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/37.png\" alt=\"\" class=\"wp-image-510\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/37.png 698w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/37-294x300.png 294w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><figcaption class=\"wp-element-caption\">\u0440\u0438\u0441.3<\/figcaption><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-6 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"734\" height=\"442\" data-id=\"519\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/38-2.png\" alt=\"\" class=\"wp-image-519\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/38-2.png 734w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/38-2-300x181.png 300w\" sizes=\"auto, (max-width: 734px) 100vw, 734px\" \/><figcaption class=\"wp-element-caption\">\u0440\u0438\u0441. 4<\/figcaption><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">(\u05d3)<\/mark><\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \\(a\\) \u0438 \\(b\\) \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(g(x)\\), \u0435\u0441\u043b\u0438 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u0442\u043e\u0447\u0435\u043a \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043a\u0430 (2, -3). \u0413\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(g(x)=|f(x)|-b\\)  \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d \u043d\u0430 \u0440\u0438\u0441.4 <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0434\u0432\u0435 \u0442\u043e\u0447\u043a\u0438 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430. \u0418\u0445 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \\((-\\sqrt{2a},-b)\\), \\((\\sqrt{2a},-b)\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u0430\u043a \u043a\u0430\u043a \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0430 \u0442\u043e\u0447\u043a\u0438 (2, -3) \u0431\u043e\u043b\u044c\u0448\u0435 \u043d\u0443\u043b\u044f, \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\sqrt{2a}=2\\), \\(a=2\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(-b=-3\\), \\(b=3\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442: <\/em>\\(a=2\\),  \\(b=3\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">(\u05d4)<\/mark><\/strong> \u0414\u043b\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(s(x)=\\int_{1}^{x} g(t)dt\\), \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \\(x&gt;1\\) \u043d\u0430\u0439\u0434\u0435\u043c \u0442\u0438\u043f \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430.  <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0417\u0430\u043f\u0438\u0448\u0435\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443   \u041d\u044c\u044e\u0442\u043e\u043d\u0430 -\u041b\u0435\u0439\u0431\u043d\u0438\u0446\u0430 \u0434\u043b\u044f \u044d\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"> \\(s(x)=\\int_{1}^{x} g(t)dt=F(x)-F(1)\\), <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\">(1)<\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0433\u0434\u0435 \\(F(x)\\) &#8212;  \u043e\u0434\u043d\u0430 \u0438\u0437 \u043f\u0435\u0440\u0432\u043e\u043e\u0431\u0440\u0430\u0437\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(g(x)\\), \u0430 \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0438\u0442, \u0447\u0442\u043e \\(F'(x)=g(x)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u0442\u043e\u0447\u043a\u0435 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 1) \u0440\u0430\u0432\u043d\u0430 0, 2) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0441 &#171;-&#187; \u043d\u0430 &#171;+&#187;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u0442\u043e\u0447\u043a\u0435 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 1) \u0440\u0430\u0432\u043d\u0430 0, 2) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0441 &#171;+&#187; \u043d\u0430 &#171;-&#171;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0422\u043e \u0435\u0441\u0442\u044c \u0434\u043b\u044f \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0442\u0438\u043f \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(s(x)\\) \u043d\u0443\u0436\u043d\u043e: 1) \u043d\u0430\u0439\u0442\u0438 \u0435\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e, 2) \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u043a 0, 3) \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u043a\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \\(x&gt;1\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0437 \u0444\u043e\u0440\u043c\u0443\u043b\u044b <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\">(1)<\/mark> \u043f\u043e\u043b\u0443\u0447\u0438\u043c  \\(s'(x)=(F(x)-F(1))&#8217;=F'(x)=g(x)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0421 \u0443\u0447\u0435\u0442\u043e\u043c \u043f. <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">(\u05d3)<\/mark><\/strong> (\\(a=2\\),  \\(b=3\\)),  \\(g(x)=|\\frac{4-x^2}{x}|-3\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \\(x&gt;1\\), \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u044f  \\(g(x)\\) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a. \u041f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0435\u043c \\(g(x)\\) \u043a \u043d\u0443\u043b\u044e. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(|\\frac{4-x^2}{x}|-3=0\\);<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(|\\frac{4-x^2}{x}|=3\\), \u043e\u0442\u0441\u044e\u0434\u0430 <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{4-x^2}{x}=3\\) \u0438\u043b\u0438 \\(\\frac{4-x^2}{x}=-3\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{4-x^2}{x}=3\\), \\(\\frac{4-x^2-3x}{x}=0\\), \\(\\frac{x^2+3x-4}{x}=0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041a\u043e\u0440\u043d\u0438 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044f: \\(x=1, \\ x=4\\).  \u041a\u043e\u0440\u0435\u043d\u044c \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044f \\(x=0\\). \u041f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0443 \\(x&gt;1\\) \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u0442\u043e\u0447\u043a\u0430 \\(x=4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\frac{4-x^2}{x}=-3\\), \\(\\frac{4-x^2+3x}{x}=0\\),  \\(\\frac{x^2-3x-4}{x}=0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041a\u043e\u0440\u043d\u0438 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044f: \\(x=1, \\ x=4\\).  \u041a\u043e\u0440\u0435\u043d\u044c \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044f \\(x=0\\). \u041f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0443 \\(x&gt;1\\) \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u0442\u043e\u0447\u043a\u0430 \\(x=4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041a\u043e\u0440\u043d\u0438 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044f: \\(x=-1, \\ x=4\\).  \u041a\u043e\u0440\u0435\u043d\u044c \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044f \\(x=0\\). \u041f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0443 \\(x&gt;1\\) \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u0442\u043e\u0447\u043a\u0430 \\(x=4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u0437\u043d\u0430\u043a\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(g(x)=|\\frac{4-x^2}{x}|-3\\) \u0441\u043f\u0440\u0430\u0432\u0430 \u0438 \u0441\u043b\u0435\u0432\u0430 \u043e\u0442 \u0442\u043e\u0447\u043a\u0438 \\(x=4\\):<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(x=3\\): \\(g(3)=|\\frac{4-3^2}{3}|-3=\\frac{5}{3}-3&lt;0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(x=5\\): \\(g(5)=|\\frac{4-5^2}{3}|-3=\\frac{21}{3}-3&gt;0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0438 \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0435 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 \\(x=4\\) \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(s(x)=\\int_{1}^{x} g(t)dt\\) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0441 &#171;-&#187; \u043d\u0430 &#171;+&#187;, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(x=4\\) &#8212; \u0442\u043e\u0447\u043a\u0430 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \u0442\u043e\u0447\u043a\u0430 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> 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