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\u0644\u062f\u0631\u062c\u0629 \u062d\u0631\u0627\u0631\u0629 \u062b\u0627\u0628\u062a\u0629 k. \u062a\u0633\u0645\u0649 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0642\u0627\u0646\u0648\u0646 Boyle-Mariotte (P\u00d7V=k) \u0648\u0647\u064a \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a. \u0648\u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0645\u062c\u0627\u0644 \u062a\u0639\u0631\u064a\u0641 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u064a\u0642\u062a\u0635\u0631 \u0641\u0642\u0637 \u0639\u0644\u0649 \u0627\u0644\u0641\u0631\u0639 \u0627\u0644\u0645\u0648\u062c\u0628\u060c \u062d\u064a\u062b \u0644\u0627 \u062a\u0648\u062c\u062f \u0623\u062d\u062c\u0627\u0645 \u0623\u0648 \u0636\u063a\u0648\u0637 \u0633\u0644\u0628\u064a\u0629.<\/p>\n \u0625\u0646 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0634\u062f\u0629 \u0627\u0644\u062a\u064a\u0627\u0631 \u0648\u0627\u0644\u0645\u0642\u0627\u0648\u0645\u0629 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a\u0629 \u0627\u0644\u062e\u0627\u0636\u0639\u0629 \u0644\u0641\u0631\u0642 \u0645\u062d\u062a\u0645\u0644 \u062b\u0627\u0628\u062a \u062a\u062d\u0643\u0645\u0647\u0627 \u0623\u064a\u0636\u064b\u0627 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a. \u062a\u064f\u0639\u0631\u0641 \u0647\u0630\u0647 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0628\u0642\u0627\u0646\u0648\u0646 \u0623\u0648\u0645 (V=I\u00d7R).<\/p>\n","protected":false},"excerpt":{"rendered":" \u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627\u0647\u064a\u0629 \u062f\u0648\u0627\u0644 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a \u0648\u0643\u064a\u0641\u064a\u0629 \u0631\u0633\u0645\u0647\u0627 \u0628\u064a\u0627\u0646\u064a\u064b\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062c\u062f \u062c\u0645\u064a\u0639 \u062e\u0635\u0627\u0626\u0635 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641\u060c \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u062c\u0627\u0644\u0647\u0627\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u062a\u0645\u0631\u064a\u0646. \u0645\u0627 \u0647\u064a \u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a\u061f \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a \u0647\u064a \u062f\u0627\u0644\u0629 \u062a\u0631\u0628\u0637 \u0628\u064a\u0646 \u0643\u0645\u064a\u062a\u064a\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u062a\u064a\u0646 \u0639\u0643\u0633\u064a\u0627\u060c \u0623\u064a \u0623\u0646 \u0625\u062d\u062f\u0649 \u0627\u0644\u0643\u0645\u064a\u062a\u064a\u0646 \u062a\u0632\u064a\u062f …<\/p>\n![\"y=\\cfrac{k}{x}\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0347a755f31ebb9b48b58bae6f6b57ec_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"k\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" "\\"Rendered")
<\/p>\n![\"y=\\cfrac{5}{x}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-38f2b1957624503310fe6098a8982361_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" "\\"Rendered")
<\/p>\n![\"y\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x.\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9cc293b28f198c32e0356b52e2e23bd_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n\n
<\/p>\n<\/p>\n![\"\u0645\u062b\u0627\u0644](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-augmentation-inverse-proportionnalite-fonction.webp\")
<\/figure>\n<\/div>\n<\/div>\n![\"\u0645\u062b\u0627\u0644](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-fonction-de-proportionnalite-inverse-decroissante.webp\")
<\/figure>\n<\/div>\n<\/div>\n<\/div>\n<\/span> \u0645\u062c\u0627\u0644 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a<\/span><\/h2>\n
![\"y=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ed569638a8112040c8eb65917144a99_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x-1=0\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a57ca6c48b6f646aeb64eb7f05e4840_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x=1\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3330a01aa4d7d81947b71297d8623d3b_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x=1.\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29163feacef7bfd88b9b5d136f8fef91_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\text{Dom](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05c8e4a398e9bca8582fa539c89426fa_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> \u0643\u064a\u0641\u064a\u0629 \u0631\u0633\u0645 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a<\/span><\/h2>\n
\n
![\"y=\\cfrac{3}{x-2}\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-664a33c2348cf355b5ae0b6c98be57b7_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x-2=0\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e0aacb848a27943fc0e8fba70f545d78_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x=2\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c657687cbbf5ea9a7545edb42190e592_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\text{Dom](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-298deba50795b5fc3979441d68ef3ed8_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/p>\n<\/p>\n![\"\\begin{array}{c|c}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f03d2c89a0898c906173bba4a7e16699_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u0643\u064a\u0641\u064a\u0629](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-representer-les-fonctions-de-proportionnalite-inverse.webp\")
<\/figure>\n<\/div>\n![\"\u062a\u0645\u062b\u064a\u0644](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-dune-fonction-de-proportionnalite-inverse.webp\")
<\/figure>\n<\/div>\n<\/p>\n<\/p>\n<\/p>\n![\"y=0\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> \u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a<\/span><\/h2>\n
\u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n
![\"y=\\cfrac{1}{3x+6}\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e6ee0e8c316d13415956aebdf1f779fe_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"3x+6](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-711df3e7ed1611e60f6b2a78ce211050_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"3x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-464bbbde213f977372efa4cdc52fe0ce_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x=\\cfrac{-6}{3}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67f6a3da67428df0d214fb581e6657db_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\text{Dom](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fbd5fe607cd89a42b4db6e52bc047c56_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n
![\"y=\\cfrac{3}{x}\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd78dd9762960a5337acc3e2d9ea8c8e_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64621958dc2faf8135c3f98bef105836_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\text{Dom](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-918f34eaaa0d095d88bcaf837d725d34_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\begin{array}{c|c}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-004c097530669885cf19e9aa97d07444_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u062a\u0645\u0631\u064a\u0646](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-pas-a-pas-de-fonction-de-proportionnalite-inverse.webp\")
<\/figure>\n<\/div>\n \u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n
![\"y=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7d1a2bfde357023677380a9d117c7ea_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-53eaacfeed4d0f3ae6746f40f52edbdf_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07e5375bb6ca82b5198a9e829ba42984_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\text{Dom](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d33d13eb18d8be7473178f63e2b33ea6_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\begin{array}{c|c}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d240eeb6b2aa8530035b99a488e039a_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u062a\u0645\u0627\u0631\u064a\u0646](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-des-fonctions-de-proportionnalite-inverses.webp\")
<\/figure>\n<\/div>\n \u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n
![\"y=](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18718c6d0a65973fb2830b13e3ef90e7_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"2x-4=0\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-af6694fc6992622f98a8707910f98046_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"2x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e696d73fad80caf096cb986a3c357b0_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d1252315e59c0aa8c2cf0296443e4e7_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\text{Dom](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb4b13269ed4b2e103e50983e300dcfb_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\begin{array}{c|c}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-925c625919345d725660e1ccab33c78b_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u062a\u0645\u0631\u064a\u0646](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-pour-representer-graphiquement-une-fonction-de-proportionnalite-inverse.webp\")
<\/figure>\n<\/div>\n \u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h3>\n
![\"y=\\cfrac{2x+3}{2x+6}\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-379664d569f63739a52aef2f4a3da41b_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"2x+6=0\"](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb310e295335d320e66cac6a8a6a3270_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"2x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b254eeeabf14c903b414b7f844bcd54_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"x](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be0dac801e36b79ec2bac9a5be70ad7c_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\text{Dom](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3eb9671adf4127bd8129820378cb2a44_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\begin{array}{c|c}](\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5dfd65f4a7fca984bdc6f16ec89154c0_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u062f\u0627\u0644\u0629](\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-de-proportionnalite-inverse.webp\")
<\/figure>\n<\/div>\n<\/span> \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0644\u0649 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0627\u0644\u0639\u0643\u0633\u064a<\/span><\/h2>\n