{"id":4606,"date":"2023-08-23T10:57:42","date_gmt":"2023-08-23T07:57:42","guid":{"rendered":"https:\/\/maor.haifa.ac.il\/?p=4606"},"modified":"2025-01-09T09:41:12","modified_gmt":"2025-01-09T06:41:12","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-%d8%a3%d9%8a-%d9%85%d8%b3%d8%aa%d9%88%d9%89","status":"publish","type":"post","link":"https:\/\/maor.haifa.ac.il\/ar\/%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-%d8%a3%d9%8a-%d9%85%d8%b3%d8%aa%d9%88%d9%89\/","title":{"rendered":"\u062a\u0635\u0646\u064a\u0641 \u062a\u0639\u0627\u0628\u064a\u0631 \u062c\u0628\u0631\u064a\u0629 \u2013 \u0623\u064a \u0645\u0633\u062a\u0648\u0649"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"4606\" class=\"elementor elementor-4606 elementor-4605\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9c60f49 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"9c60f49\" 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-20 elementor-top-column elementor-element elementor-element-5874856\" data-id=\"5874856\" 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<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-b6194ee\" data-id=\"b6194ee\" 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-f3f0f0d elementor-widget elementor-widget-heading\" data-id=\"f3f0f0d\" 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<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-2a748c6\" data-id=\"2a748c6\" 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-93fe882 elementor-widget elementor-widget-image\" data-id=\"93fe882\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/maor.haifa.ac.il\/wp-content\/uploads\/elementor\/thumbs\/\u05e8\u05de\u05d41-\u05d1\u05e1\u05d9\u05e1\u05d9\u05ea-qbxwwieiuosk7gt77tm1hxlh4rn62jr9u3jin8mwis.png\" title=\"\u05e8\u05de\u05d41 \u05d1\u05e1\u05d9\u05e1\u05d9\u05ea\" alt=\"\u05e8\u05de\u05d41 \u05d1\u05e1\u05d9\u05e1\u05d9\u05ea\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\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-20 elementor-top-column elementor-element elementor-element-41e0abf\" data-id=\"41e0abf\" 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-ce4ac63 elementor-widget elementor-widget-image\" data-id=\"ce4ac63\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/maor.haifa.ac.il\/wp-content\/uploads\/elementor\/thumbs\/\u05e8\u05de\u05d42-\u05e8\u05d2\u05d9\u05dc\u05d4-qbxwwgiuh0pzk8vxissscy2jxzwfn5jt5u8joopov8.png\" title=\"\u05e8\u05de\u05d42 \u05e8\u05d2\u05d9\u05dc\u05d4\" alt=\"\u05e8\u05de\u05d42 \u05e8\u05d2\u05d9\u05dc\u05d4\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\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-20 elementor-top-column elementor-element elementor-element-f72b86f\" data-id=\"f72b86f\" 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-fc435d8 elementor-widget elementor-widget-image\" data-id=\"fc435d8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/maor.haifa.ac.il\/wp-content\/uploads\/elementor\/thumbs\/\u05e8\u05de\u05d43-\u05de\u05ea\u05e7\u05d3\u05de\u05ea-qbxwwjcd1ituj2ru2c0o2fcxq5ija8v068704ilick.png\" title=\"\u05e8\u05de\u05d43 \u05de\u05ea\u05e7\u05d3\u05de\u05ea\" alt=\"\u05e8\u05de\u05d43 \u05de\u05ea\u05e7\u05d3\u05de\u05ea\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\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\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c9d8174 elementor-section-full_width elementor-section-height-min-height elementor-section-items-top elementor-section-height-default\" data-id=\"c9d8174\" 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-fda84e7\" data-id=\"fda84e7\" 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-6601eea elementor-widget elementor-widget-text-editor\" data-id=\"6601eea\" 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\u0633\u0623\u0644\u0629<\/h2><h3>\u0645\u0633\u0623\u0644\u0629 1<\/h3><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>\n<table id=\"tablepress-4\" class=\"tablepress tablepress-id-4\">\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<!-- #tablepress-4 from cache --><h3>\u0645\u0633\u0623\u0644\u0629 2<\/h3><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<div class=\"elementor-element elementor-element-bef471e elementor-widget__width-inherit elementor-widget elementor-widget-toggle\" data-id=\"bef471e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2001\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2001\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-right\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-left\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0637\u0628\u064a\u0642<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2001\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2001\"><p><a href=\"https:\/\/www.geogebra.org\/m\/mwjn6mrn\" 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><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\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<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-b152439\" data-id=\"b152439\" 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-800a30e elementor-widget elementor-widget-html\" data-id=\"800a30e\" 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\/jnenecsk\/width\/662\/height\/569\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"662px\" height=\"569px\" 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<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4dada60 elementor-section-full_width elementor-section-height-min-height elementor-section-height-default elementor-section-items-middle\" data-id=\"4dada60\" 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-1404d42\" data-id=\"1404d42\" 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-2a601ce elementor-widget elementor-widget-spacer\" data-id=\"2a601ce\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8e28db6 elementor-widget-divider--view-line_icon elementor-view-default elementor-widget-divider--element-align-center elementor-widget elementor-widget-divider\" data-id=\"8e28db6\" 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\t<div class=\"elementor-icon elementor-divider__element\">\n\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-caret-down\"><\/i><\/div>\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<div class=\"elementor-element elementor-element-8cc2a05 elementor-widget elementor-widget-heading\" data-id=\"8cc2a05\" 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<h2 class=\"elementor-heading-title elementor-size-default\">\u0645\u0644\u0641 \u0644\u0644\u062a\u0646\u0632\u064a\u0644<\/h2>\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-4acbb6f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4acbb6f\" 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-33 elementor-inner-column elementor-element elementor-element-37aecfe\" data-id=\"37aecfe\" 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<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-4e20298\" data-id=\"4e20298\" 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-5495805 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"5495805\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div 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\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. \u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0637\u0628\u064a\u0642 \u062a\u0637\u0628\u064a\u0642 \u0645\u0639\u0637\u0649 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642 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