{"id":30,"date":"2023-09-17T11:04:26","date_gmt":"2023-09-17T11:04:26","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%ab%d8%a7%d8%a8%d8%aa\/"},"modified":"2023-09-17T11:04:26","modified_gmt":"2023-09-17T11:04:26","slug":"%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%ab%d8%a7%d8%a8%d8%aa","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b4%d8%aa%d9%82-%d9%85%d9%86-%d8%ab%d8%a7%d8%a8%d8%aa\/","title":{"rendered":"\u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u062b\u0627\u0628\u062a"},"content":{"rendered":"

\u0646\u0648\u0636\u062d \u0647\u0646\u0627 \u0642\u064a\u0645\u0629 \u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0628\u062a (\u0645\u0639 \u0627\u0644\u0623\u0645\u062b\u0644\u0629). \u0646\u0639\u0644\u0645\u0643 \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u062f\u0627\u0644\u0629\u060c \u0648\u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u062f\u0627\u0644\u0629\u060c \u0648\u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0631\u0641\u0648\u0639\u064b\u0627 \u0643\u062f\u0627\u0644\u0629. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u062d\u0648\u0644 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062b\u0648\u0627\u0628\u062a. <\/p>\n

<\/span> \u0645\u0627 \u0647\u0648 \u0645\u0634\u062a\u0642 \u062b\u0627\u0628\u062a<\/span><\/h2>\n

\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0628\u062a \u062a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0635\u0641\u0631\u064b\u0627<\/strong> \u060c \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0642\u064a\u0645\u0629 \u0627\u0644\u062b\u0627\u0628\u062a.<\/p>\n

\n

\"f(x)=k<\/p>\n<\/p>\n

\u0644\u0630\u0644\u0643\u060c \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0629 \u062f\u0627\u0644\u0629 \u062b\u0627\u0628\u062a\u0629\u060c \u0644\u064a\u0633\u062a \u0647\u0646\u0627\u0643 \u062d\u0627\u062c\u0629 \u0644\u0625\u062c\u0631\u0627\u0621 \u0623\u064a \u062d\u0633\u0627\u0628\u0627\u062a\u060c \u0641\u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0647\u064a \u0628\u0628\u0633\u0627\u0637\u0629 \u0635\u0641\u0631.<\/p>\n

\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0628\u062a \u0647\u064a \u0635\u0641\u0631 \u0644\u0623\u0646\u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629<\/a><\/span> \u0644\u064a\u0633 \u0644\u0647 \u0645\u064a\u0644. <\/p>\n

<\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062b\u0648\u0627\u0628\u062a<\/span><\/h2>\n

\u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u062a\u0639\u0631\u064a\u0641 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629\u060c \u0633\u0646\u0631\u0649 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644:<\/p>\n

\n

\"\\begin{array}{c}f(x)=3<\/p>\n<\/p>\n

\u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0628\u062a \u064a\u0639\u0637\u064a \u062f\u0627\u0626\u0645\u064b\u0627 0. \u0648\u0644\u0627 \u064a\u0647\u0645 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0648\u062c\u0628\u0629 \u0623\u0648 \u0633\u0627\u0644\u0628\u0629\u060c \u0623\u0648 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u0629 \u0627\u0644\u062b\u0627\u0628\u062a \u0643\u0628\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0623\u0648 \u0635\u063a\u064a\u0631\u0629 \u062c\u062f\u064b\u0627\u060c \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u062a\u0647\u0627 \u0633\u062a\u0643\u0648\u0646 \u0635\u0641\u0631\u064b\u0627. <\/p>\n

<\/span> \u0625\u062b\u0628\u0627\u062a \u0645\u0634\u062a\u0642\u0629 \u062b\u0627\u0628\u062a<\/span><\/h2>\n

\u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0631\u0649 \u0645\u0642\u062f\u0627\u0631 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u060c \u0633\u0646\u0648\u0636\u062d \u0644\u0645\u0627\u0630\u0627 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u064a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627.<\/p>\n

\u0627\u062c\u0639\u0644 f<\/em> \u062f\u0627\u0644\u0629 \u062b\u0627\u0628\u062a\u0629 \u0644\u0623\u064a \u0642\u064a\u0645\u0629:<\/p>\n

\n

\"f(x)=k\"<\/p>\n<\/p>\n

\u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0645\u0634\u062a\u0642 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u064a:<\/p>\n

\n

\"\\displaystyle<\/p>\n<\/p>\n

\u27a4<\/span> \u0627\u0646\u0638\u0631:<\/strong> \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0634\u062a\u0642<\/a><\/span><\/p>\n

\u0644\u0630\u0644\u0643 \u0625\u0630\u0627 \u062d\u0644\u0644\u0646\u0627 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629:<\/p>\n

\n

\"\\displaystyle<\/p>\n<\/p>\n

\u0625\u0630\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629 \u0647\u064a 0 \u0639\u0646\u062f \u0643\u0644 \u0646\u0642\u0637\u0629. \u0644\u0630\u0644\u0643\u060c \u062a\u0645 \u062a\u0648\u0636\u064a\u062d \u0635\u064a\u063a\u0629 \u0645\u0634\u062a\u0642 \u0627\u0644\u062b\u0627\u0628\u062a. <\/p>\n

<\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u062b\u0627\u0628\u062a \u0628\u0648\u0627\u0633\u0637\u0629 \u0648\u0638\u064a\u0641\u0629<\/span><\/h2>\n

\u0644\u0642\u062f \u0642\u0645\u0646\u0627 \u0644\u0644\u062a\u0648 \u0628\u062a\u062d\u0644\u064a\u0644 \u0645\u0634\u062a\u0642\u0629 \u062b\u0627\u0628\u062a \u0648\u0627\u062d\u062f\u060c \u0623\u064a \u062f\u0627\u0644\u0629 \u0628\u062f\u0648\u0646 \u0623\u064a \u0645\u062a\u063a\u064a\u0631\u0627\u062a. \u0648\u0644\u0643\u0646 \u0643\u0645\u0627 \u062a\u0639\u0644\u0645\u060c \u064a\u0645\u0643\u0646 \u062f\u0645\u062c \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a. \u0644\u0630\u0644\u0643 \u0633\u0646\u062f\u0631\u0633 \u0623\u062f\u0646\u0627\u0647 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062b\u0648\u0627\u0628\u062a \u0645\u062c\u062a\u0645\u0639\u0629 \u0645\u0639 \u0623\u0646\u0648\u0627\u0639 \u0623\u062e\u0631\u0649 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 \u0645\u0634\u062a\u0642\u0629 \u062b\u0627\u0628\u062a \u0645\u0636\u0631\u0648\u0628\u0629 \u0641\u064a \u0646\u0648\u0639 \u0622\u062e\u0631 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644.<\/p>\n

\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629.<\/strong><\/p>\n

\n

\"f(x)=k\\cdot<\/p>\n<\/p>\n

\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0647\u064a:<\/p>\n

\n

\"g(x)=x^2\\quad<\/p>\n<\/p>\n

\u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0645\u0634\u062a\u0642\u0629 \u0636\u0631\u0628 \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629 \u0641\u064a \u062b\u0627\u0628\u062a \u062a\u0639\u0627\u062f\u0644 \u0636\u0631\u0628 \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629 \u0641\u064a \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0641\u064a \u0627\u0644\u062b\u0627\u0628\u062a: <\/p>\n

\n

\"f(x)=5\\cdot<\/p>\n<\/p>\n

<\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u062b\u0627\u0628\u062a \u0628\u064a\u0646 \u0648\u0638\u064a\u0641\u0629<\/span><\/h2>\n

\u0645\u0634\u062a\u0642\u0629 \u062b\u0627\u0628\u062a \u0628\u064a\u0646 \u062f\u0627\u0644\u0629 \u064a\u0633\u0627\u0648\u064a \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u062b\u0627\u0628\u062a \u0627\u0644\u0645\u0639\u062f\u0644 \u0641\u064a \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0631\u0628\u0639\u0629.<\/strong><\/p>\n

\n

\"f(x)=\\cfrac{k}{g(x)}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad<\/p>\n<\/p>\n

\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062b\u0627\u0628\u062a \u0627\u0644\u062a\u0627\u0644\u064a \u0645\u0642\u0633\u0648\u0645\u0629 \u0639\u0644\u0649 \u062f\u0627\u0644\u0629 \u062e\u0637\u064a\u0629 \u0647\u064a:<\/p>\n

\n

\"f(x)=\\cfrac{3}{8x}\\quad\\longrightarrow\\quad<\/p>\n<\/p>\n

\u0628\u0645\u0627 \u0623\u0646 \u0645\u0634\u062a\u0642\u0629 8x \u0647\u064a 8. <\/p>\n

<\/span> \u0645\u0634\u062a\u0642 \u0645\u0646 \u062b\u0627\u0628\u062a \u0645\u0631\u0641\u0648\u0639 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629<\/span><\/h2>\n

\u0645\u0634\u062a\u0642\u0629 \u062b\u0627\u0628\u062a \u0645\u0631\u0641\u0648\u0639 \u0643\u062f\u0627\u0644\u0629 \u064a\u0633\u0627\u0648\u064a \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0644\u062b\u0627\u0628\u062a \u0645\u0636\u0631\u0648\u0628\u064b\u0627 \u0641\u064a \u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0631\u0641\u0648\u0639\u064b\u0627 \u0643\u062f\u0627\u0644\u0629 \u0641\u064a \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062f\u0627\u0644\u0629.<\/strong><\/p>\n

\n

\"f(x)=k^{g(x)}\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad<\/p>\n<\/p>\n

\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0628\u0645\u0627 \u0623\u0646 \u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u062c\u064a\u0628 \u0647\u064a \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0641\u0625\u0646 \u062a\u0641\u0631\u064a\u0642 \u062b\u0627\u0628\u062a \u0643\u0628\u064a\u0631 \u0625\u0644\u0649 \u062c\u064a\u0628 \u064a\u0639\u0637\u064a: <\/p>\n

\n

\"f(x)=2^{sen(x)}\\quad\\longrightarrow\\quad<\/p>\n<\/p>\n

<\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062b\u0648\u0627\u0628\u062a<\/span><\/h2>\n

\u062d\u0644 \u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u062b\u0648\u0627\u0628\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n

\n

\"\\text{A)}\\<\/p>\n<\/p>\n

\n

\"\\text{B)}\\<\/p>\n<\/p>\n

\n

\"\\text{C)}\\<\/p>\n<\/p>\n

\n

\"\\text{D)}\\<\/p>\n<\/p>\n

\n

\"\\text{E)}\\<\/p>\n<\/p>\n

\n

\"\\text{F)}\\<\/p>\n<\/p>\n

\n

\"\\text{G)}\\<\/p>\n<\/p>\n

\n

\"\\text{H)}\\<\/p>\n<\/p>\n

\n

\"\\text{I)}\\<\/p>\n<\/p>\n

\n
\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n

\u062d\u062a\u0649 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 F)\u060c \u062c\u0645\u064a\u0639 \u0627\u0644\u062f\u0648\u0627\u0644 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u0642\u064a\u0645 \u062b\u0627\u0628\u062a\u0629 \u0628\u0633\u064a\u0637\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062c\u0645\u064a\u0639 \u0645\u0634\u062a\u0642\u0627\u062a\u0647\u0627 \u062a\u0639\u0637\u064a \u0635\u0641\u0631\u064b\u0627. <\/p>\n

\n

\"\\text{A)}\\<\/p>\n<\/p>\n

\n

\"\\text{B)}\\<\/p>\n<\/p>\n

\n

\"\\text{C)}\\<\/p>\n<\/p>\n

\n

\"\\text{D)}\\<\/p>\n<\/p>\n

\n

\"\\text{E)}\\<\/p>\n<\/p>\n

\n

\"\\text{F)}\\<\/p>\n<\/p>\n

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\n

\"\\text{G)}\\<\/p>\n<\/p>\n

\n

\"\\text{H)}\\<\/p>\n<\/p>\n

\n

\"\\text{I)}\\<\/p>\n<\/p>\n

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\u0645\u0634\u062a\u0642\u0629 \u0645\u0646 \u062b\u0627\u0628\u062a<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f 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