{"id":28,"date":"2023-09-17T11:05:21","date_gmt":"2023-09-17T11:05:21","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/"},"modified":"2023-09-17T11:05:21","modified_gmt":"2023-09-17T11:05:21","slug":"%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%b9%d9%82%d9%84%d8%a7%d9%86%d9%8a%d8%a9\/","title":{"rendered":"\u0648\u0638\u064a\u0641\u0629 \u0639\u0642\u0644\u0627\u0646\u064a\u0629"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u062e\u0637\u0648\u0637 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629. \u0648\u0644\u064a\u0633 \u0647\u0630\u0627 \u0641\u062d\u0633\u0628\u060c \u0628\u0644 \u0633\u062a\u0631\u0649 \u0645\u0627 \u0647\u064a \u062c\u0645\u064a\u0639 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-racional\"><\/span> \u0645\u0627 \u0647\u064a \u0648\u0638\u064a\u0641\u0629 \u0639\u0642\u0644\u0627\u0646\u064a\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0647\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0647\u064a \u062f\u0627\u0644\u0629 \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u062d\u0627\u0635\u0644 \u0642\u0633\u0645\u0629 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> \u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u0643\u0633\u0631 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u0645\u064a\u0632 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0628\u0627\u0644\u062a\u0641\u0631\u062f\u0627\u062a \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u064a\u062e\u062a\u0641\u064a \u0641\u064a\u0647\u0627 \u0627\u0644\u0645\u0642\u0627\u0645.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80ec33ef964f9463287fb8c93605b34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{a_0+a_1x+a_2x^2+\\dots +a_nx^n}{b_0+b_1x+b_2x^2+\\dots +n_nx^n}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"285\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0633\u0645\u0649 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0643\u0633\u0631\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u0627 \u064a\u0646\u0628\u063a\u064a \u0627\u0644\u062e\u0644\u0637 \u0628\u064a\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u063a\u064a\u0631 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629. \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u063a\u064a\u0631 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u062c\u0630\u0631\u064a\u0629) \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0630\u0648\u0631.<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplos-de-funciones-racionales\"><\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0641\u0647\u0645 \u0641\u0643\u0631\u0629 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644\u060c \u0633\u0646\u0631\u0649 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#FF9B28;\">\u062f\u0627\u0644\u0629 \u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0645\u0639 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645:<\/u><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170c6c49759eeb2d1d3f81bbf0ebfc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x+3}{2x-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0633\u0645\u0649 \u0647\u0630\u0647 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0623\u064a\u0636\u064b\u0627 <strong>\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u062a\u0645\u0627\u062b\u0644<\/strong> .<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#FF9B28;\">\u062f\u0627\u0644\u0629 \u0643\u0633\u0631\u064a\u0629 \u0628\u0647\u0627 \u062b\u0627\u0628\u062a \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645:<\/u><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-931f934a646a46832b66a8a3efe3ad17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{7}{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0633\u0645\u0649 \u0647\u0630\u0647 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 <strong>\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a<\/strong> \u0648\u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0643\u0645\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u0646\u0627\u0633\u0628\u0629 \u0639\u0643\u0633\u064a\u0627 \u0631\u064a\u0627\u0636\u064a\u0627.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#FF9B28;\">\u062f\u0627\u0644\u0629 \u0643\u0633\u0631\u064a\u0629 \u0630\u0627\u062a \u0645\u062a\u0639\u062f\u062f\u0629 \u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0641\u064a \u0627\u0644\u0628\u0633\u0637 \u0648\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 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645:<\/u> <\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82bb59d3904629b47192dfd05456a638_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^3+4x^2-2x+6}{x^2+3x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"198\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"dominio-de-una-funcion-racional\"><\/span> \u0645\u062c\u0627\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px;text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u0649 0 \u0647\u0648 \u0639\u062f\u0645 \u062a\u062d\u062f\u064a\u062f \u064a\u0639\u0637\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 (\u221e)\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0633\u062a\u0643\u0648\u0646 \u0645\u0648\u062c\u0648\u062f\u0629 \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u0627 \u0644\u0645 \u064a\u0643\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 \u0647\u0648 0.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 <strong>\u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629<\/strong> \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0645\u0627 \u0639\u062f\u0627 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0627\u0644\u0645\u0642\u0627\u0645.<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629\u060c \u0639\u0644\u064a\u0646\u0627 \u0645\u0639\u0631\u0641\u0629 \u0645\u062a\u0649 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 0\u060c \u0644\u0623\u0646 \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u062a\u064a \u0644\u0627 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u0645\u062c\u0627\u0644<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062d\u0644 \u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc119bb22722de1d946894030ac0e6e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{5x}{x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062c\u0639\u0644 \u0627\u0644\u0645\u0642\u0627\u0645 \u0623\u0648\u0644\u064b\u0627 \u064a\u0633\u0627\u0648\u064a 0\u060c \u062b\u0645 \u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24e301fa7ea2e8d9f0041192d9a84927_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"73\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 x \u0647\u064a -2\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 0 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0648\u062c\u0648\u062f\u0629. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 x=-2. \u0648\u0628\u064a\u0627\u0646 \u0630\u0644\u0643 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c69046d9ec5ea032ce1e6f7f070dbf83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f= \\mathbb{R}-\\{ -2 \\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"asintotas-de-una-funcion-racional\"><\/span> \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u062d\u062f\u0649 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0647\u064a \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629\u060c \u0644\u0623\u0646\u0647\u0627 \u062a\u062d\u062f\u062f \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0627\u0644\u0631\u0633\u0648\u0645\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u062a\u0645\u062b\u064a\u0644-\u0627\u0644\u0648\u0638\u0627\u064a\u0654\u0641\/\">\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0644\u0644\u062f\u0627\u0644\u0629<\/a><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0648\u0637 <strong>\u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<\/strong> \u0647\u064a \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u062a\u064a \u064a\u0642\u062a\u0631\u0628 \u0645\u0646\u0647\u0627 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0625\u0644\u0649 \u0623\u062c\u0644 \u063a\u064a\u0631 \u0645\u0633\u0645\u0649 \u0648\u0644\u0643\u0646 \u0644\u0627 \u064a\u0644\u0645\u0633\u0647\u0627 \u0623\u0628\u062f\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u062b\u0644\u0627\u062b\u0629 \u0623\u0646\u0648\u0627\u0639 \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629: \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629\u060c \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629\u060c \u0648\u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0648\u062c\u062f \u0623\u062f\u0646\u0627\u0647 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0631\u0633\u0645\u0647\u0627 \u0628\u064a\u0627\u0646\u064a\u064b\u0627 \u0628\u0627\u0644\u0644\u0648\u0646 \u0627\u0644\u0623\u062d\u0645\u0631.<\/p>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#E74C3C;\"><strong>\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0639\u0645\u0648\u062f\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<\/strong><\/u> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-verticale.webp\" alt=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629\" class=\"wp-image-1294\" width=\"408\" height=\"361\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#E74C3C;\"><strong>\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<\/strong><\/u> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-horizontale.webp\" alt=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629\" class=\"wp-image-1333\" width=\"478\" height=\"378\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#E74C3C;\"><strong>\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<\/strong><\/u> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-1.png\" alt=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629\" class=\"wp-image-1374\" width=\"386\" height=\"436\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062e\u0627\u0635 \u0628\u0647\u0627 \u0647\u0648 \u0623\u0645\u0631 \u0628\u0633\u064a\u0637 \u0644\u0644\u063a\u0627\u064a\u0629\u060c \u0648\u0644\u0643\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u062f\u0648\u0646 \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062e\u0627\u0635 \u0628\u0647\u0627 \u0647\u0648 \u0623\u0645\u0631 \u0645\u0639\u0642\u062f \u0644\u0644\u063a\u0627\u064a\u0629. \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u0646\u0648\u0635\u064a \u0628\u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u0645\u0648\u0642\u0639\u0646\u0627. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-una-funcion-racional\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0644\u0647\u0627 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c24e4e9a6871d3e8e07e85c24b039c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{P(x)}{Q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"98\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0623\u0639\u0644\u0627\u0647\u060c \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u064a\u0634\u0645\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631.<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0628\u0634\u0643\u0644 \u0639\u0627\u0645\u060c \u064a\u0634\u0645\u0644 \u0646\u0637\u0627\u0642 (\u0623\u0648 \u0645\u062f\u0649) \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u0641\u064a\u0647\u0627 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a.<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0623\u0646\u062d\u0627\u0621 \u0645\u062c\u0627\u0644\u0647\u0627. \u0623\u0648 \u0628\u0639\u0628\u0627\u0631\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u0638\u0647\u0631 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0627\u0646\u0642\u0637\u0627\u0639\u0627\u062a \u0641\u064a \u0646\u0642\u0627\u0637 \u0644\u0627 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0645\u062c\u0627\u0644\u0647\u0627.<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u064a\u062a\u0643\u0648\u0646 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0644\u0645\u0639\u0638\u0645 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0645\u0646 \u0642\u0637\u0639\u062a\u064a\u0646 \u0632\u0627\u0626\u062f\u062a\u064a\u0646.<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u0644\u0627\u0635 \u0628\u0639\u0636 \u0627\u0644\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0651\u0629 \u0645\u0646 \u0627\u0644\u0628\u0633\u0637 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u0648\u0627\u0644\u0645\u0642\u0627\u0645 \u0643\u062b\u064a\u0631 \u0627\u0644\u062d\u062f\u0648\u062f <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d38083076c97f0893079e8fed89adb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<ul style=\"list-style-type:circle;margin-left:10%;color:#FF8A05; font-weight: bold;;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:15px; margin-top:15px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u062a\u062d\u062a\u0648\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0639\u0644\u0649 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0645\u062b\u0644 \u062c\u0630\u0648\u0631\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u0648\u0644\u0643\u0646 \u0647\u0630\u0647 \u0644\u064a\u0633\u062a \u062c\u0630\u0648\u0631<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f6500c41747705211eacbfc8d05aba4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:15px; margin-top:15px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062f\u0631\u062c\u0629\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u0623\u0642\u0644 \u0645\u0646 \u062f\u0631\u062c\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u060c \u0627\u0644\u0633\u0637\u0631 y=0 \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629.<\/li>\n<li style=\"margin-bottom:15px; margin-top:15px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062f\u0631\u062c\u0629\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u0623\u0643\u0628\u0631 \u0645\u0646 \u062f\u0631\u062c\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u060c \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0644\u064a\u0633 \u0644\u0647\u0627 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a.<\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062f\u0631\u062c\u0629\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \u0647\u064a \u0648\u062d\u062f\u0629 \u0623\u0643\u0628\u0631 \u0645\u0646 \u062f\u0631\u062c\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0644\u064a\u0633 \u0644\u062f\u0649 \u0643\u062b\u064a\u0631\u062a\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u062c\u0630\u0631 \u0645\u0634\u062a\u0631\u0643\u060c \u0641\u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0644\u0647\u0627 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0645\u0627\u0626\u0644. <\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-racionales\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94fcabf09d798d56e4d439c3dc4945b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\displaystyle\\frac{4x}{2x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0646\u0647\u0627 \u062f\u0627\u0644\u0629 \u0643\u0633\u0631\u064a\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u0645\u062c\u0627\u0644 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0627\u0644\u0645\u0642\u0627\u0645\u060c \u0644\u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0647\u0627 \u0633\u062a\u0639\u0637\u064a \u221e.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u0642\u0645\u0646\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0635\u062d\u064a\u062d \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631 \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0630\u064a \u0644\u0627 \u064a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u0645\u062c\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-198bb8c11e20e5c9864ef9e60a2facc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8bb8c1283df065c83c44b7fe484324a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-578104a63c70bc5ba4b685855966f28e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-4}{2}=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u064a\u062a\u0643\u0648\u0646 \u0641\u0642\u0637 \u0645\u0646 \u0623\u0631\u0642\u0627\u0645 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 -2: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee75b8bb1136ab715a80e56e910f1626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = \\mathbb{R}- \\{ -2 \\} }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0646\u0642\u0627\u0637 \u0627\u0644\u0642\u0637\u0639 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062d\u0627\u0648\u0631 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ef48653e91a2935a9776b62ddd1f25b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^2-9}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"109\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0646\u0642\u0637\u0629 \u0627\u0644\u0642\u0637\u0639 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 X<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0646\u0642\u0637\u0629 \u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 X \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062d\u0644\u0647\u0627 <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05bb421b504b7ae4aa483574cd6f28d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0bce6c022ed0fc63f4659af75888f96c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-603043b6d5768eaace4011208f30bec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2-9}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"81\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b2fd4733c1dfbb47969d5b92e3e4f04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=0\\cdot x\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"104\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce55adbc277e9378607d68bce8ef19fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05112cb5a98f653cd1920fb40e5ef9a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cba0400a71268c96427f3b00bf29b6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=\\pm 3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"64\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u062d\u0644\u064a\u0646 \u0644\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629\u060c \u0628\u062d\u064a\u062b \u062a\u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0645\u0639 \u0645\u062d\u0648\u0631 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a \u0627\u0644\u0645\u062d\u0648\u0631\u064a \u0639\u0646\u062f \u0646\u0642\u0637\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646 \u0648\u0647\u0645\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-013260528208aa1656c5407fa8e29db9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(3,0)\\qquad (-3,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong>\u0646\u0642\u0637\u0629 \u0627\u0644\u0642\u0637\u0639 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 Y<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 Y \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u062d\u0633\u0627\u0628 <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f92d7beea0ed3a053927c2d429d3450_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-969a7e35c182b2950e797fec58ddab28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=\\cfrac{0^2-9}{0}=\\cfrac{-9}{0}= \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u064a \u0639\u062f\u062f \u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u0649 \u0635\u0641\u0631 \u0647\u0648 \u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646 \u0648\u064a\u0639\u0637\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0644\u0627 \u062a\u0645\u0631 \u0628\u0623\u064a \u0646\u0642\u0637\u0629 \u0641\u0648\u0642 \u0627\u0644\u0645\u062d\u0648\u0631 Y\u060c \u0623\u064a \u0623\u0646\u0647 \u0644\u064a\u0633 \u0644\u0647\u0627 \u0646\u0642\u0637\u0629 \u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631 Y.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0631\u0633\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-379664d569f63739a52aef2f4a3da41b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{2x+3}{2x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"85\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062c\u0628 \u0641\u0639\u0644\u0647 \u0647\u0648 \u062d\u0633\u0627\u0628 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb310e295335d320e66cac6a8a6a3270_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b254eeeabf14c903b414b7f844bcd54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x =-6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be0dac801e36b79ec2bac9a5be70ad7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x =\\cfrac{-6}{2} =-3\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3eb9671adf4127bd8129820378cb2a44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{ -3 \\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u0646\u0642\u0648\u0645 \u0628\u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 \u0627\u0644\u0642\u064a\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5dfd65f4a7fca984bdc6f16ec89154c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; y \\\\ \\hline -2,5 &amp; -2 \\\\ -2 &amp; -0,5 \\\\ -1 &amp; 0,25 \\\\ 1 &amp; 0,63 \\\\ -3,5 &amp; 4  \\\\ -4 &amp; 2,5 \\\\ -5 &amp; 1,75 \\\\ -7 &amp; 1,38\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"200\" width=\"112\" style=\"vertical-align: -95px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0625\u0646\u0647\u0627\u0621\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0648\u0631\u0633\u0645 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0631\u0633\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-de-proportionnalite-inverse.webp\" alt=\"\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a\" class=\"wp-image-170\" width=\"545\" height=\"460\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0623\u062f\u0646\u0627\u0647: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-representation-limites-infini.webp\" alt=\"\u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629\" class=\"wp-image-1244\" width=\"403\" height=\"406\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0648\u0627\u0636\u062d\u0629 \u062c\u062f\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u060c \u062d\u064a\u062b \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0643\u062e\u0637\u0648\u0637 \u0645\u0646\u0642\u0637\u0629 \u062d\u0645\u0631\u0627\u0621.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0642\u0631\u064a\u0628\u0629 \u062c\u062f\u064b\u0627 \u0645\u0646 \u0627\u0644\u062e\u0637 \u0627\u0644\u0623\u0641\u0642\u064a y=1 \u0648\u0644\u0643\u0646\u0647\u0627 \u0644\u0627 \u062a\u0644\u0645\u0633\u0647 \u0623\u0628\u062f\u064b\u0627. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0644\u0647\u0627 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0648\u0627\u062d\u062f\u060c \u0648\u0647\u0648 y=1.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0642\u0631\u064a\u0628 \u062c\u062f\u064b\u0627 \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 x=-1 \u0648x=1\u060c \u0644\u0643\u0646\u0647 \u0644\u0627 \u064a\u0635\u0644 \u0623\u0628\u062f\u064b\u0627 \u0625\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0644\u0647\u0627 \u062e\u0637\u0627\u0646 \u0645\u0642\u0627\u0631\u0628\u0627\u0646 \u0631\u0623\u0633\u064a\u0627\u0646 \u0645\u062e\u062a\u0644\u0641\u0627\u0646\u060c \u0648\u0647\u0645\u0627 x=-1 \u0648x=1.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffd06824234d445d38d021cbb04bfa23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{6x-4}{2x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0644\u062d\u0648\u0638\u0629:<\/strong> \u0644\u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646\u060c \u0646\u0648\u0635\u064a\u0643 \u0623\u0648\u0644\u0627\u064b \u0628\u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0625\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637 \u0623\u0639\u0644\u0627\u0647 \u0644\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 <u style=\"text-decoration-color:#FF9B28;\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629<\/u> \u0648\u0627\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0627\u0644\u0634\u0631\u062d. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong><span style=\"text-decoration: underline;\">\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u0625\u064a\u062c\u0627\u062f \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062c\u0639\u0644 \u0645\u0642\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u064a\u0633\u0627\u0648\u064a 0 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u0644\u0627 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u0645\u062c\u0627\u0644: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba1a17401e951a8539e475d758a871d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x +2 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2a522ee7d1c1819c496c45af9549bc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x= -2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e60b04854152fc93f76ad6c29e09346_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-2}{2} = -1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 -1:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f86d513e25805efa3dbddfc2e0229e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\left\\{ -1 \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 x=-1 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062e\u0637\u064b\u0627 \u0645\u0642\u0627\u0631\u0628\u064b\u0627 \u0631\u0623\u0633\u064a\u064b\u0627. \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19ee5b45a22b402ee890392a91803649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -1 } \\frac{6x-4}{2x+2} = \\frac{6\\cdot(-1)-4}{2\\cdot(-1)+2}=\\frac{-10}{0}= \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c x=-1 \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629\u060c \u0644\u0623\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u062a\u0639\u0637\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong><span style=\"text-decoration: underline;\">\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0644\u0644\u062f\u0627\u0644\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-604ce9e6e3a0943003f79d5f890b81d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{6x-4}{2x+2} = \\frac{6(+\\infty)}{2(+\\infty)} = \\frac{+\\infty}{+\\infty} = \\frac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"312\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-823441caef29e22ea5cda9685af7c1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{6x-4}{2x+2} = \\frac{6(-\\infty)}{2(-\\infty)} = \\frac{-\\infty}{-\\infty} = \\frac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"312\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u064a\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0647\u0648 \u062a\u0642\u0633\u064a\u0645 \u0645\u0639\u0627\u0645\u0644\u0627\u062a x \u0645\u0646 \u0623\u0639\u0644\u0649 \u062f\u0631\u062c\u0629\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645 \u0645\u0646 \u0646\u0641\u0633 \u0627\u0644\u062a\u0631\u062a\u064a\u0628.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u0627\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a\u0627\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u0623\u0639\u0637\u0627\u0646\u0627 3\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 y=3 \u0647\u0648 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <strong><span style=\"text-decoration: underline;\">\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0638\u0631\u064b\u0627 \u0644\u0648\u062c\u0648\u062f \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0644\u0627 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0645\u0627\u0626\u0644.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0647\u0646\u0627 \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0646\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u062e\u0637\u0648\u0637 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629. \u0648\u0644\u064a\u0633 \u0647\u0630\u0627 \u0641\u062d\u0633\u0628\u060c \u0628\u0644 \u0633\u062a\u0631\u0649 \u0645\u0627 \u0647\u064a \u062c\u0645\u064a\u0639 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0639\u0644\u0649 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629. \u0645\u0627 \u0647\u064a \u0648\u0638\u064a\u0641\u0629 \u0639\u0642\u0644\u0627\u0646\u064a\u0629\u061f \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0647\u0648 \u0643\u0645\u0627 \u064a\u0644\u064a: \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0647\u064a 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