{"id":28913,"date":"2021-04-23T13:00:38","date_gmt":"2021-04-23T13:00:38","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28913"},"modified":"2024-09-22T02:11:36","modified_gmt":"2024-09-22T02:11:36","slug":"%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d8%a7%d9%84%d9%82%d8%b7%d8%b9-%d8%a7%d9%84%d9%85%d9%83%d8%a7%d9%81%d8%a6-%d8%a7%d9%84%d8%aa%d8%b9%d8%b1%d9%8a%d9%81%d8%a7%d8%aa-%d9%88%d8%a7%d9%84%d8%ae%d8%b5","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d8%a7%d9%84%d9%82%d8%b7%d8%b9-%d8%a7%d9%84%d9%85%d9%83%d8%a7%d9%81%d8%a6-%d8%a7%d9%84%d8%aa%d8%b9%d8%b1%d9%8a%d9%81%d8%a7%d8%aa-%d9%88%d8%a7%d9%84%d8%ae%d8%b5\/","title":{"rendered":"\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626: \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635"},"content":{"rendered":"<p><center><\/p>\n<h1>\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626: \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635<\/h1>\n<p><em><strong>\u0627\u0644\u0645\u0644\u062e\u0635:<\/strong><br \/>\n   \u064a\u0633\u062a\u0643\u0634\u0641 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u062a\u0639\u0631\u064a\u0641 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0648\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0647\u0627\u060c \u0645\u0648\u0636\u062d\u064b\u0627 \u0623\u0635\u0644\u0647\u0627 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u062a\u0633\u0627\u0648\u0649 \u0645\u0633\u0627\u0641\u062a\u0647\u0627 \u0645\u0646 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u062f\u0644\u064a\u0644. \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645\u060c \u064a\u062a\u0645 \u0645\u0631\u0627\u062c\u0639\u0629 \u0628\u0639\u0636 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0645\u062b\u0644 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a \u0648\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u062a\u064a\u062d \u062a\u0642\u062f\u064a\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0648\u0639\u0644\u0627\u0642\u062a\u0647\u0627 \u0628\u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0645\u0639 \u0627\u0644\u0631\u0623\u0633 \u0641\u064a \u0623\u064a \u0646\u0642\u0637\u0629 \u0648\u062a\u062d\u0648\u064a\u0644\u0647\u0627 \u0625\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0642\u0627\u0646\u0648\u0646\u064a\u0629 \u0644\u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a.<br \/>\n   <\/em><\/p>\n<p><strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n   \u0628\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>\u0641\u0647\u0645<\/strong> \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u062a\u0633\u0627\u0648\u0649 \u0645\u0633\u0627\u0641\u062a\u0647\u0627 \u0645\u0646 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u062f\u0644\u064a\u0644.<\/li>\n<li><strong>\u0627\u0633\u062a\u0646\u062a\u0627\u062c<\/strong> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u062f\u0644\u064a\u0644.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0648\u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629.<\/li>\n<li><strong>\u0627\u0633\u062a\u0646\u062a\u0627\u062c<\/strong> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0645\u0639 \u0631\u0623\u0633 \u0641\u064a \u0623\u064a \u0646\u0642\u0637\u0629 (h,k).<\/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\"><strong>\u0627\u0644\u0623\u0641\u0643\u0627\u0631 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/strong><\/a><br \/>\n   <a href=\"#2\">\u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/a><br \/>\n   <a href=\"#3\">\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a<\/a><br \/>\n   <a href=\"#4\">\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629<\/a><br \/>\n   <a href=\"#5\"><strong>\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/strong><\/a><br \/>\n   <a href=\"#6\">\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/a><br \/>\n   <a href=\"#7\">\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/a><br \/>\n   <a href=\"#8\">\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0627\u0646\u0648\u0646\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0648\u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\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\/O2EYxxK03jU\" title=\"\u0645\u0634\u063a\u0644 \u0641\u064a\u062f\u064a\u0648 YouTube\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0627\u0644\u0623\u0641\u0643\u0627\u0631 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/h2>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=130s\" target=\"_blank\" rel=\"noopener\"><strong>\u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0647\u0648 \u0645\u0646\u062d\u0646\u0649<\/strong><\/a> \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647 \u0643\u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0643\u0648\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0627\u0644\u0628\u0639\u062f \u0639\u0646 \u0646\u0642\u0637\u0629 \u062b\u0627\u0628\u062a\u0629 \u062a\u064f\u0633\u0645\u0649 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u062e\u0637 \u062b\u0627\u0628\u062a \u064a\u064f\u0633\u0645\u0649 \u0627\u0644\u062f\u0644\u064a\u0644. \u0644\u0641\u0647\u0645 \u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0648\u062a\u062d\u0648\u064a\u0644\u0647 \u0625\u0644\u0649 \u062a\u0639\u0628\u064a\u0631 \u062c\u0628\u0631\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639\u0647\u060c \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u060c \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u0627\u064b \u0625\u0644\u0649 \u0645\u0631\u0627\u062c\u0639\u0629 \u0628\u0639\u0636 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0633\u0627\u0628\u0642\u0629.<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=199s\" target=\"_blank\" rel=\"noopener\"><strong>\u0644\u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u0646\u0642\u0637\u062a\u064a\u0646<\/strong><\/a> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_1 = (x_1, y_1)<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_2 = (x_2, y_2)<\/span><\/span>. \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0647\u064a \u0637\u0648\u0644 \u0627\u0644\u0642\u0637\u0639\u0629 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0628\u0637\u0647\u0645\u0627.<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-Nm00_Mr0PJE\/YIH_4rGiO0I\/AAAAAAAAE-s\/gLJ6gjIGUuwsDhwVt6pa3MDZ0YQXEgJVgCLcBGAsYHQ\/s0\/distancia.PNG\" alt=\"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646\" class=\"aligncenter lazyload\" width=\"409\" height=\"263\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-Nm00_Mr0PJE\/YIH_4rGiO0I\/AAAAAAAAE-s\/gLJ6gjIGUuwsDhwVt6pa3MDZ0YQXEgJVgCLcBGAsYHQ\/s0\/distancia.PNG\" alt=\"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646\" class=\"aligncenter lazyload\" width=\"409\" height=\"263\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0642\u064a\u0627\u0633 \u0647\u0630\u0647 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/youtu.be\/grjSzVl8Acw?t=553\" target=\"_blank\" rel=\"noopener\">\u0646\u0638\u0631\u064a\u0629 \u0641\u064a\u062b\u0627\u063a\u0648\u0631\u0633<\/a> \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0634\u0643\u0644 \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\/-xOGFNRBeUU0\/YIIAohgMqNI\/AAAAAAAAE-0\/LCiSnSMHVwMpTGOnTchVFtkVL0izESn3ACLcBGAsYHQ\/s0\/teorema%2Bde%2Bpitagoras.PNG\" alt=\"\u0646\u0638\u0631\u064a\u0629 \u0641\u064a\u062b\u0627\u063a\u0648\u0631\u0633\" class=\" aligncenter lazyload\" width=\"404\" height=\"255\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-xOGFNRBeUU0\/YIIAohgMqNI\/AAAAAAAAE-0\/LCiSnSMHVwMpTGOnTchVFtkVL0izESn3ACLcBGAsYHQ\/s0\/teorema%2Bde%2Bpitagoras.PNG\" alt=\"\u0646\u0638\u0631\u064a\u0629 \u0641\u064a\u062b\u0627\u063a\u0648\u0631\u0633\" class=\" aligncenter lazyload\" width=\"404\" height=\"255\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0627\u0644\u0645\u0633\u0627\u0641\u0629 <span class=\"katex-eq\" data-katex-display=\"false\">d<\/span> \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0633\u062a\u0643\u0648\u0646:<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">d= \\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=390s\" target=\"_blank\" rel=\"noopener\"><strong>\u0644\u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u062f\u0627\u0644\u0629<\/strong><\/a> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y(x) = x^2<\/span><\/span>. \u0625\u0630\u0627 \u0631\u0633\u0645\u0646\u0627 \u0647\u0630\u0627\u060c \u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0634\u064a\u0621 \u0645\u0634\u0627\u0628\u0647 \u0644\u0645\u0627 \u064a\u0638\u0647\u0631 \u0641\u064a \u0627\u0644\u0634\u0643\u0644 \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\/-hf1AvDmNoYc\/YIIhv8_zkjI\/AAAAAAAAE_E\/kedKQoFwJSIkoIZgev9cQS--frmDbwTOwCLcBGAsYHQ\/s0\/traslacionDeGraficos1.PNG\" alt=\"\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\" class=\" aligncenter lazyload\" width=\"325\" height=\"321\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-hf1AvDmNoYc\/YIIhv8_zkjI\/AAAAAAAAE_E\/kedKQoFwJSIkoIZgev9cQS--frmDbwTOwCLcBGAsYHQ\/s0\/traslacionDeGraficos1.PNG\" alt=\"\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\" class=\" aligncenter lazyload\" width=\"325\" height=\"321\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0625\u0630\u0627 \u0627\u0633\u062a\u0628\u062f\u0644\u0646\u0627 <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u0628\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x-1<\/span><\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span> \u0628\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y-1<\/span><\/span> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u0633\u0646\u0644\u0627\u062d\u0638 \u0627\u0644\u062a\u062d\u0648\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a:<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-TRHquCBRoB4\/YIIjbaFx5WI\/AAAAAAAAE_M\/ngYFLBH4y6AS4ywUaSwo2sscmAVT6viHgCLcBGAsYHQ\/s0\/traslacionDeGraficos2.PNG\" alt=\"\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\" class=\" aligncenter lazyload\" width=\"352\" height=\"288\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-TRHquCBRoB4\/YIIjbaFx5WI\/AAAAAAAAE_M\/ngYFLBH4y6AS4ywUaSwo2sscmAVT6viHgCLcBGAsYHQ\/s0\/traslacionDeGraficos2.PNG\" alt=\"\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\" class=\" aligncenter lazyload\" width=\"352\" height=\"288\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0628\u0634\u0643\u0644 \u0639\u0627\u0645\u060c \u064a\u0646\u062a\u062c \u0639\u0646 \u0643\u0644 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u062a\u062d\u0648\u0651\u0644 \u062a\u0631\u062c\u0645\u0629\u060c \u0623\u064a:<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\longmapsto x-a<\/span><\/span>:<\/strong> \u0625\u0630\u0627 \u0643\u0627\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0645\u0648\u062c\u0628\u064b\u0627\u060c \u064a\u0646\u062a\u0642\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">a<\/span> \u0648\u062d\u062f\u0627\u062a \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0633\u0627\u0644\u0628\u064b\u0627 \u064a\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631.<\/li>\n<li><strong><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y\\longmapsto y-b<\/span><\/span>:<\/strong> \u0625\u0630\u0627 \u0643\u0627\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0645\u0648\u062c\u0628\u064b\u0627\u060c \u064a\u0646\u062a\u0642\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u0648\u062d\u062f\u0627\u062a \u0625\u0644\u0649 \u0627\u0644\u0623\u0639\u0644\u0649\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0633\u0627\u0644\u0628\u064b\u0627 \u064a\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 \u0627\u0644\u0623\u0633\u0641\u0644.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u0647\u0630\u0647 \u0647\u064a \u062a\u062d\u0648\u0644\u0627\u062a \u0627\u0644\u062a\u0631\u062c\u0645\u0629\u060c \u0648\u062a\u0623\u062b\u064a\u0631\u0647\u0627 \u0627\u0644\u0639\u0627\u0645 \u064a\u0645\u0643\u0646 \u062a\u0644\u062e\u064a\u0635\u0647 \u0641\u064a \u0627\u0644\u0634\u0643\u0644 \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\/-anQa6JMVTyA\/YIIm1AgBVbI\/AAAAAAAAE_U\/7aKD9WSMVawEwJXOnpqpr-cskL-NxoPUgCLcBGAsYHQ\/s0\/traslacionDeGraficos3.PNG\" alt=\"\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 \u0644\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\" class=\"aligncenter lazyload\" width=\"522\" height=\"314\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-anQa6JMVTyA\/YIIm1AgBVbI\/AAAAAAAAE_U\/7aKD9WSMVawEwJXOnpqpr-cskL-NxoPUgCLcBGAsYHQ\/s0\/traslacionDeGraficos3.PNG\" alt=\"\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 \u0644\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\" class=\"aligncenter lazyload\" width=\"522\" height=\"314\" \/><\/noscript><br \/>\n<a name=\"5\"><\/a><\/p>\n<h2>\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/h2>\n<p style=\"text-align: justify;\">\u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u0643\u0644 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u062a\u0633\u0627\u0648\u0649 \u0645\u0633\u0627\u0641\u062a\u0647\u0627 \u0645\u0646 \u0646\u0642\u0637\u0629 \u062b\u0627\u0628\u062a\u0629 \u0648\u062e\u0637 \u062b\u0627\u0628\u062a.<br \/>\n<img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-16fe-qg141I\/YIH4NpKtc4I\/AAAAAAAAE-k\/ILLGwpB_IQQZbUBJvXOIl5HChpo8Noi_gCLcBGAsYHQ\/s0\/Parabola.PNG\" alt=\"\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\" class=\"aligncenter lazyload\" width=\"426\" height=\"302\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-16fe-qg141I\/YIH4NpKtc4I\/AAAAAAAAE-k\/ILLGwpB_IQQZbUBJvXOIl5HChpo8Noi_gCLcBGAsYHQ\/s0\/Parabola.PNG\" alt=\"\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\" class=\"aligncenter lazyload\" width=\"426\" height=\"302\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629 \u062a\u064f\u0633\u0645\u0649 <strong>\u0627\u0644\u0628\u0624\u0631\u0629<\/strong>\u060c \u0648\u0627\u0644\u062e\u0637 \u0647\u0648 <strong>\u0627\u0644\u062f\u0644\u064a\u0644<\/strong>. \u0625\u0630\u0627 \u0623\u0648\u0644\u064a\u0646\u0627 \u0627\u0647\u062a\u0645\u0627\u0645\u064b\u0627\u060c \u0633\u0646\u0631\u0649 \u0623\u0646 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0647\u0648 \u0627\u0644\u0623\u0633\u0627\u0633 \u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u060c \u0644\u0630\u0644\u0643 \u0644\u062a\u0639\u0645\u064a\u0642 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0645\u0631\u0627\u062c\u0639\u0629 \u0643\u064a\u0641\u064a\u0629 \u0642\u064a\u0627\u0633 \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a \u0648\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u062c\u0628\u0631\u064a\u064b\u0627.<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=604s\" target=\"_blank\" rel=\"noopener\"><strong>\u0644\u0644\u062a\u0628\u0633\u064a\u0637\u060c \u0644\u0646\u0639\u062a\u0628\u0631 \u0623\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0628\u0624\u0631\u064a\u0629<\/strong><\/a> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p_f= (0,f)<\/span><\/span> \u0648\u0627\u0644\u062f\u0644\u064a\u0644 \u0647\u0648 \u0627\u0644\u062e\u0637 <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span> \u0628\u0645\u0639\u0627\u062f\u0644\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y=-p<\/span><\/span>.<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-XfDceUwcaFM\/YIIZEUT6DrI\/AAAAAAAAE-8\/keal2s_uSooVvkKsa3Sw1roANTDH8592QCLcBGAsYHQ\/s0\/analisisParabola.PNG\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\" class=\" aligncenter lazyload\" width=\"334\" height=\"249\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-XfDceUwcaFM\/YIIZEUT6DrI\/AAAAAAAAE-8\/keal2s_uSooVvkKsa3Sw1roANTDH8592QCLcBGAsYHQ\/s0\/analisisParabola.PNG\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\" class=\" aligncenter lazyload\" width=\"334\" height=\"249\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u0625\u0630\u0627 \u0623\u062e\u0630\u0646\u0627 \u0623\u064a \u0646\u0642\u0637\u0629 \u0645\u0646 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0628\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(x,y)<\/span><\/span>\u060c \u0641\u0633\u062a\u0643\u0648\u0646 \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0627\u0644\u0628\u0639\u062f \u0639\u0646 \u0643\u0644 \u0645\u0646 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u062f\u0644\u064a\u0644. \u064a\u0645\u0643\u0646 \u0648\u0635\u0641 \u0630\u0644\u0643 \u062c\u0628\u0631\u064a\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: center;\">\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u0646\u0642\u0637\u0629(x,y) <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">= \\sqrt{x^2 + (f-y)^2}= y+f =<\/span><\/span> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629(x,y) \u0648\u0627\u0644\u062f\u0644\u064a\u0644<\/p>\n<p style=\"text-align: justify;\">\u0648\u0645\u0646 \u0647\u0630\u0627 \u064a\u062a\u0645 \u062a\u0637\u0648\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \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\">\\sqrt{x^2 + (f-y)^2}= y+f<\/span><\/span><\/td>\n<td>; \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u0628\u0624\u0631\u0629 = \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u062f\u0644\u064a\u0644\u060c \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x^2 + (f-y)^2= (y+f)^2<\/span><\/span><\/td>\n<td>; \u0645\u0646 (1)\u060c \u0628\u062a\u0631\u0628\u064a\u0639 \u0627\u0644\u0637\u0631\u0641\u064a\u0646<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x^2 + \\cancel{f^2} - 2fy + \\cancel{y^2}= \\cancel{y^2} + 2fy + \\cancel{f^2}<\/span><\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x^2 - 2fy = 2fy <\/span><\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{y=\\dfrac{x^2}{4f}}<\/span><\/span><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0647\u0630\u0627 \u0647\u0648 \u0645\u0627 \u0646\u0633\u0645\u064a\u0647 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/strong>.<\/p>\n<p style=\"text-align: justify;\">\u0625\u0630\u0627 \u0646\u0638\u0631\u0646\u0627 \u0628\u0639\u0646\u0627\u064a\u0629 \u0625\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u060c \u0633\u0646\u0631\u0649 \u0623\u0646 \u0647\u0646\u0627\u0643 \u0646\u0642\u0637\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0644\u0647\u0627 \u062e\u0627\u0635\u064a\u0629 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0623\u0642\u0631\u0628 \u0625\u0644\u0649 \u0627\u0644\u0628\u0624\u0631\u0629 (\u0623\u0648 \u0628\u0634\u0643\u0644 \u0645\u0643\u0627\u0641\u0626 \u0625\u0644\u0649 \u0627\u0644\u062f\u0644\u064a\u0644). \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u062a\u064f\u0633\u0645\u0649 <strong>\u0627\u0644\u0631\u0623\u0633<\/strong>\u060c \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0628\u0627\u0644\u0630\u0627\u062a \u062a\u0643\u0648\u0646 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a\u0647\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(0,0)<\/span><\/span> \u061b \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u0631\u0623\u0633 \u062a\u064f\u0633\u0645\u0649 <strong>\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0628\u0624\u0631\u064a\u0629<\/strong>\u060c \u0648\u0642\u064a\u0645\u062a\u0647\u0627 <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0623\u064a \u0639\u062f\u062f \u062d\u0642\u064a\u0642\u064a \u0645\u0627 \u0639\u062f\u0627 \u0627\u0644\u0635\u0641\u0631.<\/p>\n<p style=\"text-align: justify;\">\u0639\u0646\u062f\u0645\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f\\gt 0<\/span><\/span>\u060c \u064a\u0641\u062a\u062d \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0644\u0623\u0639\u0644\u0649\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f\\lt 0<\/span><\/span>\u060c \u0641\u0625\u0646\u0647 \u064a\u0641\u062a\u062d \u0644\u0623\u0633\u0641\u0644. \u0643\u0644\u0645\u0627 \u0627\u0642\u062a\u0631\u0628 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f\\to 0<\/span><\/span>\u060c \u064a\u0632\u062f\u0627\u062f \u062a\u0633\u0637\u062d \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0645\u0639 \u0628\u0642\u0627\u0621 \u0627\u0644\u0631\u0623\u0633 \u0641\u064a \u0645\u0643\u0627\u0646\u0647\u060c \u0648\u064a\u0642\u062a\u0631\u0628 \u0627\u0644\u062f\u0644\u064a\u0644 \u0645\u0646 \u0627\u0644\u0631\u0623\u0633. \u0639\u0646\u062f\u0645\u0627 \u064a\u0635\u0628\u062d <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u0635\u0641\u0631\u064b\u0627\u060c \u064a\u062e\u062a\u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0623\u0646\u0647 \u0644\u0627 \u062a\u0648\u062c\u062f \u062a\u0642\u0633\u064a\u0645\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u0631.<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h3>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=1007s\" target=\"_blank\" rel=\"noopener\"><strong>\u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/strong><\/a> \u0648\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/strong> \u0645\u0639 \u0627\u0644\u0631\u0623\u0633 \u0641\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(h,k)<\/span><\/span> \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x\\longmapsto (x-h)<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">y\\longmapsto (y-k).<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(y-k) = \\dfrac{(x-h)^2}{4f}<\/span><\/span><\/p>\n<p><a name=\"8\"><\/a><\/p>\n<h3>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0627\u0646\u0648\u0646\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0648\u0645\u062a\u0639\u062f\u062f\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629<\/h3>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=O2EYxxK03jU&amp;t=1116s\" target=\"_blank\" rel=\"noopener\"><strong>\u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u062a\u0637\u0648\u064a\u0631 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629<\/strong><\/a> \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \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\">(y-k) = \\dfrac{(x-h)^2}{4f}<\/span><\/span><\/td>\n<td>; \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> 4f(y-k) = (x-h)^2<\/span><\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> 4fy-4fk = x^2 - 2hx + h^2<\/span><\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> 4fy = x^2 - 2hx + h^2 + 4fk<\/span><\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> y = \\dfrac{1}{4f}x^2 - \\dfrac{h}{2f}x + \\dfrac{h^2 + 4fk}{4f}<\/span><\/span><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0628\u0627\u0633\u062a\u0628\u062f\u0627\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a=\\dfrac{1}{4f}<\/span><\/span>, <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">b=-\\dfrac{2h}{4f}<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">c=\\dfrac{h^2 + 4fk}{4f}<\/span><\/span>. \u0641\u0625\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u062a\u062a\u062d\u0648\u0644 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0627\u0646\u0648\u0646\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0643\u0648\u0646 \u0641\u064a \u0627\u0644\u062d\u0642\u064a\u0642\u0629 <a href=\"https:\/\/toposuranos.com\/factorizacion-del-polinomio-cuadratico-y-2n-cuadratico\/\" rel=\"noopener\" target=\"_blank\">\u0645\u062a\u0639\u062f\u062f\u0629 \u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629<\/a>.<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{y=ax^2 + bx + c}<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626: \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0644\u062e\u0635: \u064a\u0633\u062a\u0643\u0634\u0641 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u062a\u0639\u0631\u064a\u0641 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626 \u0648\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0647\u0627\u060c \u0645\u0648\u0636\u062d\u064b\u0627 \u0623\u0635\u0644\u0647\u0627 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u062a\u0633\u0627\u0648\u0649 \u0645\u0633\u0627\u0641\u062a\u0647\u0627 \u0645\u0646 \u0627\u0644\u0628\u0624\u0631\u0629 \u0648\u0627\u0644\u062f\u0644\u064a\u0644. \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0647\u0630\u0627 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