{"id":29035,"date":"2021-05-05T13:00:44","date_gmt":"2021-05-05T13:00:44","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29035"},"modified":"2024-09-22T04:32:16","modified_gmt":"2024-09-22T04:32:16","slug":"%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b7%d8%b9-%d8%a7%d9%84%d9%85%d8%ae%d8%b1%d9%88%d8%b7%d9%8a%d8%a9-%d8%aa%d8%ad%d8%af%d9%8a%d8%af-%d9%88%d8%b1%d8%b3%d9%85-%d8%a7%d9%84%d9%82%d8%b7%d9%88%d8%b9-%d8%a7","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ar\/%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b7%d8%b9-%d8%a7%d9%84%d9%85%d8%ae%d8%b1%d9%88%d8%b7%d9%8a%d8%a9-%d8%aa%d8%ad%d8%af%d9%8a%d8%af-%d9%88%d8%b1%d8%b3%d9%85-%d8%a7%d9%84%d9%82%d8%b7%d9%88%d8%b9-%d8%a7\/","title":{"rendered":"\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629: \u062a\u062d\u062f\u064a\u062f \u0648\u0631\u0633\u0645 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629"},"content":{"rendered":"<p><center><\/p>\n<h1>\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629: \u062a\u062d\u062f\u064a\u062f \u0648\u0631\u0633\u0645 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629<\/h1>\n<p><em><strong>\u0645\u0644\u062e\u0635:<\/strong><br \/>\n   \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u0646\u0631\u0627\u062c\u0639 \u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629 (\u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629)\u060c \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a\u0647\u0627 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0648\u0627\u0644\u0639\u0627\u0645\u0629. \u0633\u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0643\u0644 \u0645\u0646\u062d\u0646\u0649 \u0648\u062a\u062d\u062f\u064a\u062f \u062e\u0635\u0627\u0626\u0635\u0647\u060c \u0645\u0639 \u0627\u0644\u062a\u0631\u0643\u064a\u0632 \u0639\u0644\u0649 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0645\u062b\u0644 \u0627\u0644\u0642\u0645\u0629\u060c \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644 \u0641\u064a \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0648\u0643\u0630\u0644\u0643 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0625\u0634\u0627\u0631\u0627\u062a \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0643\u0644 \u0645\u0646\u0647\u0645\u0627.<br \/>\n   <\/em><br \/>\n   <strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n   \u0641\u064a \u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u0627\u0644\u062a\u0639\u0631\u0641<\/strong> \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0644\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629 (\u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629\u060c \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629)<\/li>\n<li><strong>\u062d\u0633\u0627\u0628<\/strong> \u062e\u0635\u0627\u0626\u0635 \u0643\u0644 \u0645\u0642\u0637\u0639 \u0645\u062e\u0631\u0648\u0637\u064a: \u0637\u0648\u0644 \u0623\u0646\u0635\u0627\u0641 \u0627\u0644\u0645\u062d\u0627\u0648\u0631\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0628\u0624\u0631\u064a\u0629\u060c \u0627\u0644\u062f\u0644\u064a\u0644\u060c \u0625\u0644\u062e.<\/li>\n<\/ol>\n<p>   <strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong><br \/>\n   <a href=\"#1\">\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629<\/a><br \/>\n   <a href=\"#2\">\u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629<\/a><br \/>\n   <a href=\"#3\">\u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629<\/a><br \/>\n   <a href=\"#4\">\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a<\/a><br \/>\n   <a href=\"#5\">\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a<\/a><br \/>\n   <a href=\"#6\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629<\/a>\n   <\/p>\n<p>   <\/center><\/p>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/d21_9EHUv_M\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n   <a name=\"1\"><\/a><\/p>\n<h2>\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=126s\" target=\"_blank\" rel=\"noopener\"><strong>\u062a\u064f\u0639\u0631\u0641 \u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629<\/strong><\/a> \u0628\u0623\u0646\u0647\u0627 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u062a\u0642\u0627\u0637\u0639 \u0633\u0637\u062d \u0645\u062e\u0631\u0648\u0637 \u0645\u0639 \u0645\u0633\u062a\u0648\u0649. \u062a\u062a\u0643\u0648\u0646 \u0639\u0627\u0626\u0644\u0629 \u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0626\u0631 \u0648\u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629\u060c \u0648\u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629\u060c \u0648\u0647\u064a \u0645\u0646\u062d\u0646\u064a\u0627\u062a \u062f\u0631\u0633\u0646\u0627\u0647\u0627 \u0633\u0627\u0628\u0642\u064b\u0627.<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-5eckvpNxzlg\/YJJimcxkMYI\/AAAAAAAAFEA\/dfGTvXblcD4dZXSjpWvonYFN8O0EMNqtwCLcBGAsYHQ\/s0\/curvas-conicas-secciones-cono.png\" alt=\"\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629\" class=\" aligncenter lazyload\" width=\"531\" height=\"272\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0627\u0644\u0622\u0646 \u0633\u0646\u0631\u0627\u062c\u0639 \u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0633\u0627\u0639\u062f\u0646\u0627 \u0641\u064a \u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0648\u062a\u062d\u062f\u064a\u062f \u062e\u0635\u0627\u0626\u0635\u0647\u0627. \u0633\u0646\u0631\u0643\u0632 \u0628\u0634\u0643\u0644 \u062e\u0627\u0635 \u0639\u0644\u0649 \u0627\u0644\u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0644\u0623\u0646\u0647\u0627 \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u064a\u0648\u0639\u064b\u0627 \u0648\u062a\u0642\u062f\u0645 \u0623\u0642\u0644 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0628\u0634\u0643\u0644 \u0635\u0631\u064a\u062d. \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u064a\u0636\u060c \u062a\u0643\u0634\u0641 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0629 \u062a\u0642\u0631\u064a\u0628\u064b\u0627 \u0639\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629.<\/p>\n<p>   <a name=\"2\"><\/a><\/p>\n<h2>\u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=160s\" target=\"_blank\" rel=\"noopener\"><strong>\u064a\u064f\u0639\u0628\u0631 \u0639\u0646 \u0623\u064a \u0642\u0637\u0639 \u0645\u0643\u0627\u0641\u0626<\/strong><\/a> \u0628\u0645\u0639\u0627\u062f\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y=ax^2 + bx + c,<\/span><\/span> \u062d\u064a\u062b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a\\neq 0<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0648\u0627\u0633\u062a\u0646\u0627\u062f\u064b\u0627 \u0625\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629\u060c \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0642\u0645\u0629: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (x_0, y_0)=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} \\right)<\/span><\/span><\/li>\n<li>\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0628\u0624\u0631\u064a\u0629: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f=\\dfrac{1}{4a}<\/span><\/span><\/li>\n<li>\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0628\u0624\u0631\u0629: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle foco=\\left( -\\dfrac{b}{2a}, c - \\dfrac{b^2}{4a} + f \\right) =\\left( -\\dfrac{b}{2a}, c + \\dfrac{1- b^2}{4a} \\right)<\/span><\/span><\/li>\n<li>\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062f\u0644\u064a\u0644: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= c - \\dfrac{b^2}{4a} - f = c - \\dfrac{1+b^2}{4a}<\/span><\/span><\/li>\n<li>\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x= -\\dfrac{b}{2a} <\/span><\/span><\/li>\n<li>\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0645\u062d\u0648\u0631 x (\u0625\u0646 \u0648\u062c\u062f\u062a): <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x_{1,2}= \\dfrac{-b \\pm \\sqrt{b^2-4ac}}{2a} <\/span><\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0648\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a\u060c \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0644\u0627\u0632\u0645\u0629 \u0644\u0631\u0633\u0645 \u0623\u064a \u0642\u0637\u0639 \u0645\u0643\u0627\u0641\u0626.<\/p>\n<p>   <a name=\"3\"><\/a><\/p>\n<h2>\u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=449s\" target=\"_blank\" rel=\"noopener\"><strong>\u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629\u060c \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627\u060c<\/strong><\/a> \u0644\u0647\u0627 \u062a\u0639\u0628\u064a\u0631 \u0642\u064a\u0627\u0633\u064a \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Ax^2 + Bx + Cy^2 + Dy + E = 0<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0623\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0648<span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0647\u0645\u0627 \u062b\u0648\u0627\u0628\u062a \u063a\u064a\u0631 \u0635\u0641\u0631\u064a\u0629\u060c \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0627 \u062f\u0631\u0633\u0646\u0627\u0647\u060c \u0646\u062c\u062f \u0623\u0646:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0648<span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0625\u0634\u0627\u0631\u0629\u060c \u0641\u0647\u0630\u0627 \u0642\u0637\u0639 \u0625\u0647\u0644\u064a\u062c\u064a.<\/li>\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u0648<span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0644\u0647\u0645\u0627 \u0625\u0634\u0627\u0631\u0627\u062a \u0645\u062a\u0639\u0627\u0643\u0633\u0629\u060c \u0641\u0647\u0630\u0627 \u0642\u0637\u0639 \u0632\u0627\u0626\u062f.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0644\u062a\u0648\u0636\u064a\u062d \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u062d\u0627\u0644\u062a\u064a\u0646\u060c \u0646\u0643\u062a\u0628 \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ul style=\"text-align: justify;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/span> \u0647\u0648 \u0642\u0637\u0639 \u0625\u0647\u0644\u064a\u062c\u064a.<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/span> \u0647\u0648 \u0642\u0637\u0639 \u0632\u0627\u0626\u062f.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha, \\beta, \\gamma, \\delta<\/span><\/span> \u0648<span class=\"katex-eq\" data-katex-display=\"false\">\\epsilon<\/span> \u0647\u064a \u0623\u0639\u062f\u0627\u062f \u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0648<span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0648<span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span> \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u0648\u062c\u0628\u062a\u0627\u0646. \u0643\u062a\u0627\u0628\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0627\u0644\u062a\u0641\u0631\u064a\u0642 \u0628\u0648\u0636\u0648\u062d \u0628\u064a\u0646 \u0627\u0644\u062d\u0627\u0644\u062a\u064a\u0646. \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0622\u062a\u064a:<\/p>\n<p>   <a name=\"4\"><\/a><\/p>\n<h2>\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=552s\" target=\"_blank\" rel=\"noopener\"><strong>\u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629\u060c<\/strong><\/a> \u0646\u0633\u062a\u0646\u062a\u062c \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x + \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/span><\/td>\n<td>; \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629.<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) + \\gamma \\left(y^2 + \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/span><\/td>\n<td>; \u062a\u062c\u0645\u064a\u0639 \u0648\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 + \\gamma \\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/span><\/td>\n<td>; \u0625\u062a\u0645\u0627\u0645 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0648\u0625\u0639\u0627\u062f\u0629 \u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u062d\u062f\u0648\u062f<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\gamma \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/span><\/td>\n<td>; \u0642\u0633\u0645\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha }\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} + \\dfrac{\\left(y + \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{ \\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/span><\/td>\n<td>; \u0625\u0639\u0627\u062f\u0629 \u062a\u0631\u062a\u064a\u0628 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0648<span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span><\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 + \\left( \\dfrac{y - \\left(-\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/span><\/td>\n<td>; \u0625\u0639\u0627\u062f\u0629 \u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0641\u064a \u062e\u0637\u0648\u0629 (3) \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0627\u062a\u060c \u064a\u062c\u0628 \u0627\u0644\u0627\u0646\u062a\u0628\u0627\u0647 \u062c\u064a\u062f\u064b\u0627\u060c \u0644\u0623\u0646 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u0644\u0644\u0645\u0639\u0627\u0645\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/span> \u062a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0648\u062c\u062f.<\/p>\n<p style=\"text-align: justify;\">\u0646\u0630\u0643\u0651\u0631 \u0623\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u062a\u0623\u062e\u0630 \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{x-h}{a} \\right)^2 + \\left(\\dfrac{y-k}{b} \\right)^2 = 1<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0623\u062e\u064a\u0631\u060c \u0623\u0635\u0628\u062d \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u0639\u0644\u0627\u0642\u0629 \u0645\u0628\u0627\u0634\u0631\u0629 \u0628\u064a\u0646 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0627\u0644\u0643\u0634\u0641 \u0639\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0644\u0645\u062e\u0641\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0645\u0631\u0643\u0632: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, -\\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/span><\/li>\n<li>\u0637\u0648\u0644 \u0646\u0635\u0641 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0623\u0641\u0642\u064a: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/span><\/li>\n<li>\u0637\u0648\u0644 \u0646\u0635\u0641 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0631\u0623\u0633\u064a: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } + \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0628\u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a\u060c \u0623\u0635\u0628\u062d \u0628\u0625\u0645\u0643\u0627\u0646\u0646\u0627 \u0627\u0644\u062a\u0639\u0631\u0641 \u0648\u0631\u0633\u0645 \u0623\u064a \u0642\u0637\u0639 \u0625\u0647\u0644\u064a\u062c\u064a \u0645\u0628\u0627\u0634\u0631\u0629 \u0645\u0646 \u0634\u0643\u0644\u0647 \u0627\u0644\u0642\u064a\u0627\u0633\u064a. \u0633\u064a\u0628\u062f\u0648 \u0631\u0633\u0645\u0647 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-aVD7YQ7DfL0\/YJKBv9QXeTI\/AAAAAAAAFEQ\/urCuFtrn-YYBQ_fVSGXsmhMqExFumag-ACLcBGAsYHQ\/s0\/elipse.PNG\" class=\" aligncenter lazyload\" width=\"414\" height=\"291\" \/><\/noscript><\/p>\n<p>   <a name=\"5\"><\/a><\/p>\n<h2>\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=d21_9EHUv_M&amp;t=911s\" target=\"_blank\" rel=\"noopener\"><strong>\u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0641\u0643\u064a\u0631 \u0645\u0634\u0627\u0628\u0647 \u062a\u0645\u0627\u0645\u064b\u0627\u060c<\/strong><\/a> \u064a\u0645\u0643\u0646\u0643 \u062a\u062d\u062f\u064a\u062f \u062c\u0645\u064a\u0639 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629 \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0645\u0634\u0627\u0628\u0647 \u062c\u062f\u064b\u0627 \u0628\u062d\u064a\u062b \u064a\u0645\u0643\u0646\u0646\u064a \u0646\u0633\u062e \u0648\u0644\u0635\u0642 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629\u060c \u0645\u0639 \u062a\u0639\u062f\u064a\u0644 \u0628\u0639\u0636 \u0627\u0644\u0623\u062c\u0632\u0627\u0621 \u0641\u0642\u0637.<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td width=\"50\">(1)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\alpha x^2+ \\beta x - \\gamma y^2 + \\delta y + \\epsilon = 0<\/span><\/span><\/td>\n<td>; \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629.<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x^2+ \\dfrac{\\beta}{\\alpha }x\\right) - \\gamma \\left(y^2 - \\dfrac{\\delta}{\\gamma }y\\right) =- \\epsilon<\/span><\/span><\/td>\n<td>; \u062a\u062c\u0645\u064a\u0639 \u0648\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f<\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2 - \\gamma \\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2 =\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/span><\/td>\n<td>; \u0625\u062a\u0645\u0627\u0645 \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0648\u0625\u0639\u0627\u062f\u0629 \u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u062d\u062f\u0648\u062f<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\alpha \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\gamma \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/span><\/td>\n<td>; \u0642\u0633\u0645\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\dfrac{\\left( x + \\dfrac{\\beta}{2 \\alpha }\\right)^2}{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} - \\dfrac{\\left(y - \\dfrac{\\delta}{2 \\gamma } \\right)^2}{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)} = 1<\/span><\/span><\/td>\n<td>; \u0625\u0639\u0627\u062f\u0629 \u062a\u0631\u062a\u064a\u0628 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha<\/span> \u0648<span class=\"katex-eq\" data-katex-display=\"false\">\\gamma<\/span><\/td>\n<\/tr>\n<tr>\n<td>(6)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left( \\dfrac{ x - \\left(-\\dfrac{\\beta}{2 \\alpha }\\right)}{\\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 - \\left( \\dfrac{y - \\left(\\dfrac{\\delta}{2 \\gamma } \\right)}{\\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}}\\right)^2 = 1<\/span><\/span><\/td>\n<td>; \u0625\u0639\u0627\u062f\u0629 \u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0627\u062a\u060c \u0623\u0635\u0628\u062d \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u0639\u0644\u0627\u0642\u0629 \u0645\u0628\u0627\u0634\u0631\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0648\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0631\u0633\u0645 \u0645\u0646\u062d\u0646\u0649 \u0644\u0647\u0627 \u0628\u0633\u0647\u0648\u0644\u0629.<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\left(\\dfrac{x-h}{a} \\right)^2 - \\left(\\dfrac{y-k}{b} \\right)^2 =1 <\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u0639\u0644\u0649 \u0639\u0643\u0633 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629\u060c \u064a\u064f\u0641\u0636\u0644 \u0647\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0635\u0637\u0644\u062d \u00ab\u0627\u0644\u0645\u0631\u0628\u0639 \u0627\u0644\u0645\u0648\u0644\u062f\u00bb\u060c \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0645\u0631\u0643\u0632: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (h,k) = \\left( -\\dfrac{\\beta}{2\\alpha}, \\dfrac{\\delta}{2\\gamma}\\right)<\/span><\/span><\/li>\n<li>\u0637\u0648\u0644 \u0646\u0635\u0641 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0623\u0641\u0642\u064a: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle a = \\sqrt{\\dfrac{1}{\\alpha}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/span><\/li>\n<li>\u0637\u0648\u0644 \u0646\u0635\u0641 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0631\u0623\u0633\u064a: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle b = \\sqrt{\\dfrac{1}{\\gamma}\\left(\\dfrac{\\beta^2}{4\\alpha } - \\dfrac{\\delta^2}{4\\gamma } - \\epsilon\\right)}<\/span><\/span><\/li>\n<\/ul>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-bd0n_BuEFiE\/YJKJ1fPDhMI\/AAAAAAAAFEY\/-QjR2QbycSkKJihjHnwmdIDESYgNDyuBgCLcBGAsYHQ\/s0\/hiperbola.PNG\" alt=\"\u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u064a\" class=\" aligncenter lazyload\" width=\"428\" height=\"305\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0645\u0639 \u0646\u062a\u0627\u0626\u062c \u0647\u0630\u0647 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u0627\u062a\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0622\u0646 \u0631\u0633\u0645 \u0623\u064a \u0639\u0636\u0648 \u0645\u0646 \u0639\u0627\u0626\u0644\u0629 \u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629 \u0628\u0633\u0647\u0648\u0644\u0629.<\/p>\n<p>   <a name=\"6\"><\/a><\/p>\n<h2>\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629<\/h2>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/PKjQrcC0HG4\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629: \u062a\u062d\u062f\u064a\u062f \u0648\u0631\u0633\u0645 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629 \u0645\u0644\u062e\u0635: \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u0646\u0631\u0627\u062c\u0639 \u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629 (\u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629)\u060c \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a\u0647\u0627 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0648\u0627\u0644\u0639\u0627\u0645\u0629. \u0633\u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0643\u0644 \u0645\u0646\u062d\u0646\u0649 \u0648\u062a\u062d\u062f\u064a\u062f \u062e\u0635\u0627\u0626\u0635\u0647\u060c \u0645\u0639 \u0627\u0644\u062a\u0631\u0643\u064a\u0632 \u0639\u0644\u0649 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0645\u062b\u0644 \u0627\u0644\u0642\u0645\u0629\u060c \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644 \u0641\u064a \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0648\u0643\u0630\u0644\u0643 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0625\u0634\u0627\u0631\u0627\u062a \u0645\u0639\u0627\u0645\u0644\u0627\u062a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":29020,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":20,"footnotes":""},"categories":[581,565],"tags":[],"class_list":["post-29035","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-581","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0627\u0644\u0645\u0642\u0627\u0637\u0639 \u0627\u0644\u0645\u062e\u0631\u0648\u0637\u064a\u0629: \u062a\u062d\u062f\u064a\u062f \u0648\u0631\u0633\u0645 \u0627\u0644\u0642\u0637\u0648\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0627\u0644\u0625\u0647\u0644\u064a\u062c\u064a\u0629 \u0648\u0627\u0644\u0632\u0627\u0626\u062f\u064a\u0629 - toposuranos.com\/material<\/title>\n<meta name=\"description\" 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