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\u0627\u0644\u0633\u0627\u0644\u0628 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0647\u0648 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 y<\/em> \u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0641\u0631\u0648\u0639 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0633\u062a\u0641\u062a\u062d \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646 \u0648\u0627\u0644\u064a\u0633\u0627\u0631 (\u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0628\u0624\u0631\u064a \u0627\u0644\u0645\u0648\u0627\u0632\u064a \u0644\u0644\u0645\u062d\u0648\u0631 X).<\/p>\n \u062b\u0627\u0646\u064a\u064b\u0627\u060c \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0645\u062e\u0641\u0636\u0629) \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u0631\u0643\u0632\u0647\u0627 \u0647\u0648 \u0623\u0635\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a.<\/p>\n \n \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0631\u0643\u0632 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u060c \u0644\u062d\u0633\u0627\u0628 \u0643\u0644 \u0634\u064a\u0621 \u0622\u062e\u0631 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0625\u064a\u062c\u0627\u062f \u0642\u064a\u0645\u0629 \u0646\u0635\u0641 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u062d\u0642\u064a\u0642\u064a (\u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/p>\n \n ) \u0648\u0646\u0635\u0641 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u062e\u064a\u0644\u064a (\u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/p>\n ). \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0643\u0644\u064a\u0647\u0645\u0627 \u0645\u0646 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0645\u062e\u0641\u0636\u0629) \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f: <\/p>\n \n \n \n \n \n \n \n \n \u0641\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0646\u0627\u0643 \u0645\u0633\u0627\u0641\u0629 5 \u0648\u062d\u062f\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0645\u0631\u0643\u0632 \u0648\u0627\u0644\u0631\u0621\u0648\u0633\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0631\u0624\u0648\u0633 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0647\u064a:<\/p>\n \n \u0644\u062a\u062d\u062f\u064a\u062f \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0643\u0644 \u0646\u0642\u0637\u0629 \u0628\u0624\u0631\u064a\u0629\u060c \u064a\u062c\u0628 \u0645\u0639\u0631\u0641\u0629 \u0642\u064a\u0645\u0629 \u0646\u0635\u0641 \u0627\u0644\u0628\u0639\u062f \u0627\u0644\u0628\u0624\u0631\u064a (\u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/p>\n \n ). \u0648\u0644\u0647\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0628\u0637 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f: <\/p>\n \n \n \n \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0647\u0646\u0627\u0643 \u0645\u0633\u0627\u062d\u0629 13 \u0648\u062d\u062f\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0631\u0643\u0632 \u0648\u0627\u0644\u0645\u0646\u0627\u0632\u0644. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0643\u0644 \u0623\u0633\u0631\u0629 \u0647\u064a:<\/p>\n \n \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0631\u0643\u0632\u064a \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647:<\/p>\n \n \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062c\u062f \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0645\u0639 \u0635\u064a\u063a\u0647\u0627: <\/p>\n \n \n \u0627\u062d\u0633\u0628 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0627\u0644\u0630\u064a \u0645\u0631\u0643\u0632\u0647 \u0639\u0646\u062f \u0623\u0635\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a\u060c \u0645\u0639 \u0627\u0644\u0639\u0644\u0645 \u0623\u0646 \u0641\u0631\u0642 \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u0645\u0646 \u0646\u0642\u0637\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0625\u0644\u0649 \u0627\u0644\u0628\u0624\u0631\u062a\u064a\u0646 F(-4.0) \u0648F(4.0) \u0647\u0648 6 \u0648\u062d\u062f\u0627\u062a. <\/p>\n \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0644\u0647 \u0645\u0631\u0643\u0632 \u0639\u0646\u062f \u0623\u0635\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a\u060c \u0641\u0633\u0648\u0641 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0623\u0648 \u0627\u0644\u0645\u062e\u0641\u0636\u0629:<\/p>\n \n \u062b\u0645\u060c \u0648\u0641\u0642\u064b\u0627 \u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u060c \u0641\u0625\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0637\u0644\u0642\u0629 \u0644\u0641\u0631\u0642 \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u0645\u0646 \u0625\u062d\u062f\u0649 \u0646\u0642\u0627\u0637\u0647 \u0625\u0644\u0649 \u0627\u0644\u0628\u0624\u0631 (\u0648\u0627\u0644\u062a\u064a \u0647\u064a \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 6) \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0637\u0648\u0644 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u062d\u0642\u064a\u0642\u064a (<\/p>\n \n ). \u062d\u062a\u0649 \u0627\u0644\u0622\u0646: <\/p>\n \n \n \n \n \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0645\u0631\u0643\u0632 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0647\u0648 \u0627\u0644\u0646\u0642\u0637\u0629 (0,0) \u0648\u0627\u0644\u0628\u0624\u0631\u0629 \u0647\u064a \u0627\u0644\u0646\u0642\u0637\u0629 (4,0). \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 (\u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/p>\n \n ) \u0647\u064a 4 \u0648\u062d\u062f\u0627\u062a.<\/p>\n \n \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0622\u0646 \u0645\u0639\u0631\u0641\u0629 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/p>\n \n \u0645\u0639 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0645\u0645\u064a\u0632\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f: <\/p>\n \n \n \n \n \u0625\u0630\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0647\u064a: <\/p>\n \n \n \n![\"\\lvert](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08f25424560ca1e7449189d00268f0b9_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/div>\n![\"\u062a\u0639\u0631\u064a\u0641](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/definition-dhyperbole.webp\")
<\/figure>\n<\/div>\n<\/div>\n![\"a\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" "\\"Rendered")
<\/p>\n![\"\u0627\u0644\u0642\u0637\u0639](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/hyperbole-conique.webp\")
<\/figure>\n<\/div>\n<\/span> \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h2>\n
\n
![\"2a.\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-54b4363957caf696f4e42af854400e03_l3.png\" "\\"Rendered")
<\/p>\n<\/li>\n<\/p>\n<\/li>\n![\"2b.\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d8ead68299e64ffadc626710518ae55_l3.png\" "\\"Rendered")
<\/p>\n<\/li>\n![\"\u0639\u0646\u0627\u0635\u0631](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/elements-de-l-hyperbole.webp\")
<\/figure>\n<\/span> \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h3>\n
![\"a.\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ebc59bdf10d3d739bfa532b65c85287_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"c\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u0627\u0644\u0639\u0644\u0627\u0642\u0629](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/elements-de-relation-dune-hyperbole.webp\")
<\/figure>\n![\"a,](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0357ced152d91599aefcf60b48861b74_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"c^2](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6d7a13f23d60337d2591c3d955d44faf_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h2>\n
<\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u062f\u064a\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h3>\n
![\"\\cfrac{(x-x_0)^2}{a^2}-\\cfrac{(y-y_0)^2}{b^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b3ab0b73fd88032017edcdc4c41fbdb_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n\n
![\"x_0\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-87f2a80bc63f8d7bc3df68c45a787402_l3.png\" "\\"Rendered")
<\/p>\n![\"y_0\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d37dc47669aa63f72480eae663d99287_l3.png\" "\\"Rendered")
<\/p>\n![\"O(x_0,y_0)\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47ff14e7a2fa6ff014a1fcb82ec4fd58_l3.png\" "\\"Rendered")
<\/p>\n<\/li>\n<\/p>\n![\"b\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" "\\"Rendered")
<\/p>\n![\"\\cfrac{(y-y_0)^2}{a^2}-\\cfrac{(x-x_0)^2}{b^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6f7bf1fb4ba24a25f4d33754bb31477_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n<\/p>\n<\/p>\n<\/p>\n<\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0623\u0648 \u0627\u0644\u0645\u062e\u0641\u0636\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h3>\n
<\/p>\n<\/p>\n![\"x_0](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f9ec62f2078baa728f7ebfabffd10153_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"y_0](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0fe89d278351632cc7ab2e5843b59d50_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\color{orange}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-653c6439435e1d76761300f67aa939d8_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\cfrac{y^2}{a^2}-\\cfrac{x^2}{b^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d89d30363f5d7ac5992b0d9d8e4397d_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h3>\n
![\"Ax^2](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e8e106cce0aeffcded8cfba226c6dc22_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"A\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" "\\"Rendered")
<\/p>\n![\"C\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f34f74d98915e33f37a086f8cbfb996a_l3.png\" "\\"Rendered")
<\/p>\n<\/span> \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0627\u0644\u0623\u0636\u0644\u0627\u0639<\/span><\/h3>\n
![\"a=b.\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76d8257c341ab795017e6ec1e1565889_l3.png\" "\\"Rendered")
<\/p>\n![\"\\cfrac{x^2}{a^2}-\\cfrac{y^2}{a^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a889e08f8508111c6947103382ea8c_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"y=x\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a99c26c04ea6299b78366ce136d5675_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"y=-x\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a174c09e7d620501dd0fce5f658bb9a1_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u0645\u0639\u0627\u062f\u0644\u0629](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-hyperbole-equilaterale.webp\")
<\/figure>\n![\"x\\cdot](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d1ceb65ffe8df5812631035e3716fef_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f\u0629 \u0627\u0644\u0645\u062a\u0631\u0627\u0641\u0642\u0629<\/span><\/h3>\n
![\"\\cfrac{x^2}{a^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d53db10e1f9803780acbba6c67d420b_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-des-hyperboles-conjuguees.webp\")
<\/figure>\n<\/span>\u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h2>\n
![\"y=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d50d6c5ebf08aabc0b03be7e7bac218_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"y=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ecebcdc0521000a1f941340fd05f84a6_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n![\"b,\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" "\\"Rendered")
<\/p>\n<\/span>\u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0641\u064a \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h2>\n
![\"e=\\cfrac{c}{a}\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7290cf41b85af2331d8634e251ca44b9_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"e](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47a5ae71a1f4a771f6017b1fc5600ec4_l3.png\")
1″ title=”Rendered by QuickLaTeX.com” height=”14″ width=”40″ style=”vertical-align: -2px;”><\/p>\n<\/p>\n![\"\u063a\u0631\u064a\u0628](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/excentricite-dune-hyperbole.webp\")
<\/figure>\n![\"\\sqrt{2}.\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dcc432e053b2cf0b17f199b8eb91ab1f_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> \u062a\u0645 \u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0632\u0627\u0626\u062f<\/span><\/h2>\n
\u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n
<\/p>\n<\/p>\n![\"\\cfrac{(x-(-1))^2}{a^2}-\\cfrac{(y-3)^2}{b^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cb8ad6c303104b76fdfe294488c60b30_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\cfrac{(x+1)^2}{a^2}-\\cfrac{(y-3)^2}{b^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd828d8d4d401a7179e88f283b89fb0d_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n![\"b:\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4586bc1b16791cf732fc00ee37db4357_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\cfrac{(x+1)^2}{3^2}-\\cfrac{(y-3)^2}{7^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc9216ffda5e5a35c5349a4c0162f456_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\cfrac{\\bm{(x+1)^2}}{\\bm{9}}\\bm{-}\\cfrac{\\bm{(y-3)^2}}{\\bm{49}}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a6dc9e5e100bccc73644512fcac3344_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n
![\"\\cfrac{x^2}{25}-\\cfrac{y^2}{144}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-024bdc18c959ac2ec840e7701edb4c2d_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\bm{O(0,0)}\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cc3df15d40bf714accb800d97cc619d_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n<\/p>\n![\"\\cfrac{x^2}{a^2}-\\cfrac{y^2}{b^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c236b71767c0cd45cba2e3be0826c02c_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n<\/p>\n![\"a^2](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c686e5df986b42acb7cae3ffa7226636_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"a](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30e75133dba02b3a9db45660814d8a8a_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"a](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05c584db6eed155346c907e19f10f11f_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/div>\n![\"b^2](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e82b959fd678557ff50e9c147f301b7_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"b=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8eb15c44c5845841e91b49a46c744c5b_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"b](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-517b154a5fe27c41ae6666be7858a2a7_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/div>\n<\/div>\n![\"\\bm{A(-5,0)](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a4fcc88007b1dd5424d647be5940951_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n<\/p>\n<\/p>\n![\"c](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-44e92e889aa75e6513e84583d2e6b63f_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"c](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33e9779ed2710c2a5847aed0250c44de_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\bm{F(-13,0)](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e00737bd255cf07f0a2cc1439ee20fa_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"e=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07e71b6f9c085cd16386db6dbfa535fc_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"y=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f40446ceecabf0eef8002b00c4573509_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"y=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4342ba83cc31ebbddfb3ec9af9cb1a81_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n
<\/p>\n<\/p>\n![\"2a\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02baaffe4ddb6a44400eb7ba175e566c_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n![\"6](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c92fd32d1b9224d57070def8a33317cf_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\cfrac{6}{2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7697991f6530286db135148771103bf_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"3](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69c8e4eacfcdf3d15f0ab833a6f785b7_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n![\"c](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19e4bf3e3b4b653178b1bed74696bd59_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n<\/p>\n<\/p>\n![\"b^2](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20f1823b7d594ff5ce46d7a3fa93d705_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"b](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf1c86f4503ca5f0a9f512fcd52694c2_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"b=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c9365659745d3a91bd4edb6f8aeed7e_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n<\/p>\n![\"\\cfrac{x^2}{3^2}-\\cfrac{y^2}{\\left(\\sqrt{7}\\right)^2}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4dd94f2521da1a5f549dfacf1c499539_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\cfrac{\\bm{x^2}}{\\bm{9}}-\\cfrac{\\bm{y^2}}{\\bm{7}}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8fbcb767276c1ec68bb1bfaa2af8d478_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n