{"id":1715,"date":"2020-12-28T09:17:02","date_gmt":"2020-12-28T07:17:02","guid":{"rendered":"https:\/\/mathkey.haifa.ac.il\/%d8%ba%d9%8a%d8%b1-%d9%85%d8%b5%d9%86%d9%81\/%d7%9e%d7%99%d7%95%d7%9f-%d7%91%d7%99%d7%98%d7%95%d7%99%d7%99%d7%9d-%d7%90%d7%9c%d7%92%d7%91%d7%a8%d7%99%d7%99%d7%9d\/"},"modified":"2023-08-23T10:51:15","modified_gmt":"2023-08-23T08:51:15","slug":"%d8%aa%d8%b5%d9%86%d9%8a%d9%81-%d8%aa%d8%b9%d8%a7%d8%a8%d9%8a%d8%b1-%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/mathkey.haifa.ac.il\/ar\/%d7%9b%d7%99%d7%aa%d7%95%d7%aa-%d7%96-%d7%97-%d7%98-%d8%a7%d9%84%d8%b5%d9%81%d9%88%d9%81-7-8-9\/%d8%aa%d8%b5%d9%86%d9%8a%d9%81-%d8%aa%d8%b9%d8%a7%d8%a8%d9%8a%d8%b1-%d8%ac%d8%a8%d8%b1%d9%8a%d8%a9\/","title":{"rendered":"\u062a\u0635\u0646\u064a\u0641 \u062a\u0639\u0627\u0628\u064a\u0631 \u062c\u0628\u0631\u064a\u0629"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1715\" class=\"elementor elementor-1715 elementor-979\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7e269a4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7e269a4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-233db60\" data-id=\"233db60\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d8af4b0 elementor-widget elementor-widget-heading\" data-id=\"d8af4b0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">\u062a\u0635\u0646\u064a\u0641 \u062a\u0639\u0627\u0628\u064a\u0631 \u062c\u0628\u0631\u064a\u0629<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5d196b0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5d196b0\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-5442c97\" data-id=\"5442c97\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b600877 elementor-widget elementor-widget-text-editor\" data-id=\"b600877\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>\u0645\u0647\u0645\u0629 1<\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ba90fcb elementor-widget elementor-widget-text-editor\" data-id=\"ba90fcb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u0645\u0639\u0637\u0627\u0629 \u062a\u0639\u0627\u0628\u064a\u0631 \u062c\u0628\u0631\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629.<br \/>\u062a\u0645\u0639\u0646\u0648\u0627 \u0641\u064a \u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631 \u0627\u0644\u0645\u0639\u0637\u0627\u0629 \u0648\u062c\u062f\u0648\u0627 \u0637\u0631\u0642\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u062a\u0635\u0646\u064a\u0641\u0647\u0627.<br \/>\u0633\u062c\u0644\u0648\u0627 \u0643\u0644 \u0637\u0631\u064a\u0642\u0629 \u062a\u0635\u0646\u064a\u0641 \u0627\u062e\u062a\u0631\u062a\u0645\u0648\u0647\u0627 \u0641\u064a \u0631\u0623\u0633 \u0643\u0644 \u0639\u0645\u0648\u062f \u0645\u0646 \u0627\u0639\u0645\u062f\u0629 \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u0645\u0631\u0641\u0642 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u062a\u0627\u0644\u064a.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c176d79 elementor-widget elementor-widget-text-editor\" data-id=\"c176d79\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\n<table id=\"tablepress-1\" class=\"tablepress tablepress-id-1\">\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-1\">\n\t<td class=\"column-1\">1.<\/td><td class=\"column-2\">\\(x^2+4\\)<\/td><td class=\"column-3\">6.<\/td><td class=\"column-4\">\\(\\Large\\frac{2x}{2x+6}\\)<\/td>\n<\/tr>\n<tr class=\"row-2\">\n\t<td class=\"column-1\">2.<\/td><td class=\"column-2\">\\(\\Large\\frac{x}{x+3}\\)<\/td><td class=\"column-3\">7.<\/td><td class=\"column-4\">\\(3(2x+1)-2(3x+1)\\)<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">3.<\/td><td class=\"column-2\">\\(\\Large\\frac{x^2+1}{2x^2+2}\\)<\/td><td class=\"column-3\">8.<\/td><td class=\"column-4\">\\(-2x^2(6+x^2)\\)<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">4.<\/td><td class=\"column-2\">\\(5x(2x^2+4)\\)<\/td><td class=\"column-3\">9.<\/td><td class=\"column-4\">\\((x+2)(x-2)+8\\)<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">5.<\/td><td class=\"column-2\">\\(x^4+5\\)<\/td><td class=\"column-3\">10.<\/td><td class=\"column-4\">\\(\\Large\\frac{2x+1}{7x}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-94e55fd elementor-widget elementor-widget-text-editor\" data-id=\"94e55fd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>\u0645\u0647\u0645\u0629 2<\/h2>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5a37001 elementor-widget elementor-widget-text-editor\" data-id=\"5a37001\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u0623\u0636\u064a\u0641\u0648\u0627 \u0645\u062b\u0627\u0644\u064a\u0646 \u0645\u0646 \u0639\u0646\u062f\u0643\u0645 \u0644\u0643\u0644 \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u0637\u0631\u0642 \u0627\u0644\u062a\u0635\u064a\u0641 \u0627\u0644\u062a\u064a \u0627\u062e\u062a\u0631\u062a\u0645\u0648\u0647\u0627 \u0641\u064a \u0627\u0644\u0645\u0647\u0645\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-58180a9\" data-id=\"58180a9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-584342c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"584342c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-eb6bfc0\" data-id=\"eb6bfc0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-98211f9 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"98211f9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-9bedaa5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9bedaa5\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-f307b70\" data-id=\"f307b70\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1f40a32 elementor-widget elementor-widget-text-editor\" data-id=\"1f40a32\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><a href=\"https:\/\/www.geogebra.org\/m\/rbwbwjah\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\">\u062a\u0637\u0628\u064a\u0642<\/span><\/a><\/p><ul><li>\u0645\u0639\u0637\u0649 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642 \u062c\u062f\u0648\u0644 \u064a\u064f\u0645\u0643\u0651\u0646 \u0639\u0631\u0636 \u062d\u062a\u0649\u00a0 5 \u0645\u062c\u0645\u0648\u0639\u0627\u062a.<ul><li>\u0627\u0633\u062a\u0639\u064a\u0646\u0648\u0627 \u0628\u0634\u0631\u064a\u0637 \u0627\u0644\u062c\u0631\u0651 \u0644\u062a\u063a\u064a\u064a\u0631 \u0639\u062f\u062f \u0627\u0644\u0623\u0639\u0645\u062f\u0629.<\/li><li>\u0627\u0633\u062a\u0639\u064a\u0646\u0648\u0627 \u0628\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062e\u0636\u0631\u0627\u0621 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0633\u0641\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u064a\u0645\u0646\u0649 \u0644\u062a\u063a\u064a\u064a\u0631 \u0639\u0631\u0636 \u0627\u0644\u0623\u0639\u0645\u062f\u0629.<\/li><\/ul><\/li><li>\u0627\u0643\u062a\u0628\u0648\u0627 \u0641\u064a \u0627\u0644\u062e\u0627\u0646\u0629 \u0627\u0644\u0645\u0644\u0627\u0626\u0645\u0629 \u0641\u064a \u0623\u0639\u0644\u0649 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0633\u0645 \u0627\u0644\u062a\u0635\u0646\u064a\u0641 \u060c \u0648\u062c\u0631\u0648\u0627 \u0627\u0644\u0649 \u0627\u0644\u0639\u0645\u0648\u062f \u0635\u0648\u0631 \u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631 \u0627\u0644\u062c\u0628\u0631\u064a\u0629.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e4ab450 elementor-widget elementor-widget-html\" data-id=\"e4ab450\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<iframe scrolling=\"no\" title=\"\u05de\u05d9\u05d5\u05df \u05d1\u05d9\u05d8\u05d5\u05d9\u05d9\u05dd \u05d0\u05dc\u05d2\u05d1\u05e8\u05d9\u05d9\u05dd (\u05e2\u05e8)\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/sh5wptjr\/width\/1295\/height\/995\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/true\/ctl\/false\" width=\"1295px\" height=\"995px\" style=\"border:0px;\"> <\/iframe>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-07681a9 elementor-widget elementor-widget-html\" data-id=\"07681a9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<iframe scrolling=\"no\" title=\"\u05de\u05d9\u05d5\u05df \u05d1\u05d9\u05d8\u05d5\u05d9\u05d9\u05dd \u05d0\u05dc\u05d2\u05d1\u05e8\u05d9\u05d9\u05dd (\u05e2\u05e8)\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/sh5wptjr\/width\/1295\/height\/995\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/true\/ctl\/false\" width=\"1295px\" height=\"995px\" style=\"border:0px;\"> <\/iframe>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f6b501d elementor-widget elementor-widget-html\" data-id=\"f6b501d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<iframe scrolling=\"no\" title=\"\u05de\u05d9\u05d5\u05df \u05d1\u05d9\u05d8\u05d5\u05d9\u05d9\u05dd \u05d0\u05dc\u05d2\u05d1\u05e8\u05d9\u05d9\u05dd (\u05e2\u05e8)\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/sh5wptjr\/width\/1295\/height\/995\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/true\/ctl\/false\" width=\"1295px\" height=\"995px\" style=\"border:0px;\"> <\/iframe>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f120c3a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f120c3a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d8de3db\" data-id=\"d8de3db\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f5b713b elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"f5b713b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u062a\u0635\u0646\u064a\u0641 \u062a\u0639\u0627\u0628\u064a\u0631 \u062c\u0628\u0631\u064a\u0629 \u0645\u0647\u0645\u0629 1 \u0645\u0639\u0637\u0627\u0629 \u062a\u0639\u0627\u0628\u064a\u0631 \u062c\u0628\u0631\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629.\u062a\u0645\u0639\u0646\u0648\u0627 \u0641\u064a \u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631 \u0627\u0644\u0645\u0639\u0637\u0627\u0629 \u0648\u062c\u062f\u0648\u0627 \u0637\u0631\u0642\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u062a\u0635\u0646\u064a\u0641\u0647\u0627.\u0633\u062c\u0644\u0648\u0627 \u0643\u0644 \u0637\u0631\u064a\u0642\u0629 \u062a\u0635\u0646\u064a\u0641 \u0627\u062e\u062a\u0631\u062a\u0645\u0648\u0647\u0627 \u0641\u064a \u0631\u0623\u0633 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