[{"_1":2,"_317":-5,"_318":-5},"loaderData",{"_3":4,"_28":29,"_316":-5},"root",{"_5":6,"_24":25,"_26":27},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17},"id",2,"title","قدرات عامة","slug","قدرات-عامة","description","اختبار القدرات للمرحلة الثانوية هو اختبار يقيس القدرة على الفهم والتطبيق والاستدلال والتحليل لدى الطالب من خلال اللغة والرياضيات، و معرفة قابلية الطالب للتعلم","metadata",{"_18":19,"_20":19,"_21":19,"_22":19,"_23":19},"support_dynamic_study_plan",true,"study_plan_based_on_section_level","placement_test_based_on_section_level","study_plan_based_on_topic_level","placement_test_based_on_topic_level","whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_30":31,"_98":99,"_297":298,"_310":311,"_312":27,"_313":32,"_314":315},"loaderQuestion",{"_8":32,"_33":34,"_35":36,"_10":37,"_12":38,"_39":40,"_41":42,"_43":44,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":51,"_69":70,"_75":76,"_80":81,"_82":27,"_83":-5,"_84":85,"_86":87,"_88":89,"_90":91,"_92":19,"_55":93,"_94":95,"_96":97},45821,"type","MULTIPLE_CHOICE","text","ناتج\\ltr{\\;\\left[\\;\\begin{array}{cc}1&-1\\\\0&-2\\end{array}\\;\\right]\\;+2\\;\\left[\\;\\begin{array}{cc}3&-1\\\\2&0\\end{array}\\;\\right]\\;=\\;} يساوي","ناتج [ [ 1 -1; 0 -2 ] ] +2 [ [ 3 -1; 2 0 ] ] = يساوي A) [ [ 7 -3; 4 -2 ] ] B) [ [ 7 -1; 2 -2 ] ] C) [ [ 5 -3; 2 -4 ] ] D) [ [ 5 1; 4 -4 ] ] ","45821-ناتج-1-&-1--0-&-2-]-+-2-=-}-يساوي-5-&-1--4-&-4-]}-7-&-3--4-&-2-]}-5-&-3--2-&-4-]}-7-&-1--2-&-2","order",37,"unit_id",48,"topic_id",3,"comparison_value1","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[52,57,61,65],{"_8":53,"_35":54,"_55":56},178001,"\\ltr{\\;\\left[\\;\\begin{array}{cc}7&-3\\\\4&-2\\end{array}\\;\\right]\\;}","renderedText"," $\"\"/$ ",{"_8":58,"_35":59,"_55":60},178002,"\\ltr{\\;\\left[\\;\\begin{array}{cc}7&-1\\\\2&-2\\end{array}\\;\\right]\\;\\;}"," $\"\"/$ ",{"_8":62,"_35":63,"_55":64},178003,"\\ltr{\\;\\left[\\;\\begin{array}{cc}5&-3\\\\2&-4\\end{array}\\;\\right]\\;}"," $\"\"/$ ",{"_8":66,"_35":67,"_55":68},178004,"\\ltr{\\;\\left[\\;\\begin{array}{cc}5&1\\\\4&-4\\end{array}\\;\\right]\\;}"," $\"\"/$ ","previous_question",{"_8":71,"_33":34,"_35":72,"_12":73,"_10":-5,"_45":-5,"_46":-5,"_47":-5,"_48":-5,"_41":-5,"_74":-5,"_43":-5,"_49":-5},45812,"ناتج \\ltr{\\;2\\;\\begin{bmatrix}\\;1&\\;2\\;\\\\\\;0&\\;3\\;\\end{bmatrix}\\;-\\;\\begin{bmatrix}\\;3&-1\\;\\\\\\;-2\\;&1\\;\\end{bmatrix}\\;\\;} يساوي","45812-ناتج-1-&-2--0-&-3-3-&-1--2-&-1-}-يساوي-1&3-3&2}-1-&-6--6-&-4-}-1-&-5--2-&-5-}-5-&-5--3-&-5","section_id","next_question",{"_8":77,"_33":34,"_35":78,"_12":79,"_10":-5,"_45":-5,"_46":-5,"_47":-5,"_48":-5,"_41":-5,"_74":-5,"_43":-5,"_49":-5},45825,"للمصفوفتين \\ltr{\\;A\\;=\\left[\\;\\begin{array}{cc}2&1\\\\0&5\\end{array}\\;\\right]\\;} , \\ltr{\\;B=\\left[\\;\\begin{array}{cc}-1&3\\\\1&-2\\end{array}\\;\\right]\\;} يكون \\ltr{2A-B} ..","45825-للمصفوفتين-2-&-1-0-&-5},-1-&-3-1-&-2}-يكون-5-&-1-1-&-12}-5-&-1-1-&-12}-0-&-4-4-&-2}-5-&-1-1-&-12","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",159,"unitTitle","الدوال والمتباينات والمصفوفات","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","ناتج $\"\"/$ يساوي","encodedPrevQuestionSlug","45812-%D9%86%D8%A7%D8%AA%D8%AC-1-%26-2--0-%26-3-3-%26-1--2-%26-1-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A-1%263-3%262%7D-1-%26-6--6-%26-4-%7D-1-%26-5--2-%26-5-%7D-5-%26-5--3-%26-5","encodedNextQuestionSlug","45825-%D9%84%D9%84%D9%85%D8%B5%D9%81%D9%88%D9%81%D8%AA%D9%8A%D9%86-2-%26-1-0-%26-5%7D%2C-1-%26-3-1-%26-2%7D-%D9%8A%D9%83%D9%88%D9%86-5-%26-1-1-%26-12%7D-5-%26-1-1-%26-12%7D-0-%26-4-4-%26-2%7D-5-%26-1-1-%26-12","relatedQuestions",[100,119,139,159,178,197,217,238,258,278],{"_8":71,"_33":34,"_35":72,"_12":95,"_10":101,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":102,"_80":115,"_82":27,"_116":27,"_117":-5,"_55":118},"ناتج 2 [ 1 2; 0 3 ] - [ 3 -1; -2 1 ] يساوي A) [ 5 5; 3 5 ] B) [ -1 6; 6 4 ] C) [ 1 3; -3 2 ] D) [ -1 5; 2 5 ] ",[103,106,109,112],{"_8":104,"_35":105},177965,"\\ltr{\\;\\begin{bmatrix}\\;5&5\\;\\\\\\;3&5\\;\\end{bmatrix}\\;}",{"_8":107,"_35":108},177966,"\\ltr{\\;\\begin{bmatrix}\\;-1&6\\;\\\\\\;6&4\\;\\end{bmatrix}\\;}",{"_8":110,"_35":111},177967,"\\ltr{\\;\\begin{bmatrix}1&\\;3\\;\\\\-3&\\;2\\;\\end{bmatrix}\\;}",{"_8":113,"_35":114},177968,"\\ltr{\\;\\begin{bmatrix}\\;-1&\\;5\\;\\\\\\;2&\\;5\\;\\end{bmatrix}\\;}",[],"is_all_explanations_deleted","contents_tags_ids","ناتج $\"\"/$ يساوي",{"_8":120,"_33":34,"_35":121,"_12":122,"_10":123,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":124,"_80":137,"_82":27,"_116":27,"_117":-5,"_55":138},45809,"ناتج (4 \\ltr{\\begin{bmatrix} 9 & -1 \\\\ 2 & 3 \\end{bmatrix}} + 2 \\ltr{\\begin{bmatrix} 3 & 5 \\\\ -6 & 0 \\end{bmatrix}}) يساوي ..","45809-%D9%86%D8%A7%D8%AA%D8%AC-(4-9-%26-1--2-%26-3-%7D-%2B-2-3-%26-5--6-%26-0-%7D)-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A-42-%26-6--4-%26-12-%7D-27-%26-5--12-%26-0-%7D-17-%26-6--4-%26-12-%7D-42-%26-7--7-%26-1","ناتج (4 [ 9 -1; 2 3 ] + 2 [ 3 5; -6 0 ]) يساوي .. A) [ 42 6; -4 12 ] B) [ 42 7; -7 1 ] C) [ 27 -5; 12 0 ] D) [ 17 6; -4 12 ] ",[125,128,131,134],{"_8":126,"_35":127},177953,"\\ltr{\\;\\begin{bmatrix}42&6\\\\-4&12\\end{bmatrix}\\;}",{"_8":129,"_35":130},177956,"\\ltr{\\;\\begin{bmatrix}\\;17&\\;6\\;\\\\\\;-4&\\;12\\;\\end{bmatrix}\\;}",{"_8":132,"_35":133},177954,"\\ltr{\\;\\begin{bmatrix}42&\\;7\\;\\\\-7&\\;1\\;\\end{bmatrix}\\;}",{"_8":135,"_35":136},177955,"\\ltr{\\;\\begin{bmatrix}\\;27&\\;-5\\;\\\\\\;12\\;&0\\end{bmatrix}\\;}",[],"ناتج (4 $\"\"/$ + 2 $\"\"/$ ) يساوي ..",{"_8":140,"_33":34,"_35":141,"_12":142,"_10":143,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":144,"_80":157,"_82":27,"_116":27,"_117":-5,"_55":158},45806,"من تساوي المصفوفتين\\ltr{\\;\\begin{bmatrix}\\;5&\\;x-3\\\\1&-2\\end{bmatrix}\\;=\\begin{bmatrix}5&7\\\\\\;1&-2\\;\\end{bmatrix}\\;} فإن x تساوي ...","45806-%D9%85%D9%86-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%D8%A7%D9%84%D8%B5%D9%81%D9%88%D9%81%D9%8A%D9%86-5-%26-x-3--1-%26-2-=-5-%26-7--1-%26-2-%7D-%D9%81%D8%A5%D9%86-x-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-21-4-5-10","من تساوي المصفوفتين [ 5 x-3; 1 -2 ] =[ 5 7; 1 -2 ] فإن x تساوي ... A)4 B)5 C)10 D)21 ",[145,148,151,154],{"_8":146,"_35":147},177941,"4",{"_8":149,"_35":150},177942,"5",{"_8":152,"_35":153},177943,"10",{"_8":155,"_35":156},177944,"21",[],"من تساوي المصفوفتين $\"\"/$ فإن x تساوي ...",{"_8":160,"_33":34,"_35":161,"_12":162,"_10":163,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":164,"_80":176,"_82":27,"_116":27,"_117":-5,"_55":177},45805,"في المصفوفة\\ltr{\\;\\begin{bmatrix}\\;1&2&3\\\\4&5&0\\\\7&8&9\\end{bmatrix}\\;} قيمة العنصر \\ltr{a_{23}} هي ..","45805-%D9%81%D9%8A-%D8%A7%D9%84%D9%85%D8%B5%D9%81%D9%88%D9%81%D8%A9-1-%26-2-%26-3--4-%26-5-%26-0--7-%26-8-%26-9-%7D-%D9%82%D9%8A%D9%85%D8%A9-%D8%A7%D9%84%D8%B9%D9%86%D8%B5%D8%B1-%7D-%D9%87%D9%8A-8-2-4-0","في المصفوفة [ 1 2 3; 4 5 0; 7 8 9 ] قيمة العنصر a_23 هي .. A)0 B)2 C)4 D)8 ",[165,168,171,173],{"_8":166,"_35":167},177937,"0",{"_8":169,"_35":170},177938,"2",{"_8":172,"_35":147},177939,{"_8":174,"_35":175},177940,"8",[],"في المصفوفة $\"\"/$ قيمة العنصر $\"\"/$ هي ..",{"_8":179,"_33":34,"_35":180,"_12":181,"_10":182,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":183,"_80":196,"_82":27,"_116":27,"_117":-5,"_55":180},45804,"العنصر في المصفوفة الذي يقع في الصف الثالث والعمود الرابع هو ..","45804-%D8%A7%D9%84%D8%B9%D9%86%D8%B5%D8%B1-%D9%81%D9%8A-%D8%A7%D9%84%D9%85%D8%B5%D9%81%D9%88%D9%81%D8%A9-%D8%A7%D9%84%D8%B0%D9%8A-%D9%8A%D9%82%D8%B9-%D9%81%D9%8A-%D8%A7%D9%84%D8%B5%D9%81-%D8%A7%D9%84%D8%AB%D8%A7%D9%84%D8%AB-%D9%88%D8%A7%D9%84%D8%B9%D9%85%D9%88%D8%AF-%D8%A7%D9%84%D8%B1%D8%A7%D8%A8%D8%B9-%D9%87%D9%88","العنصر في المصفوفة الذي يقع في الصف الثالث والعمود الرابع هو .. A)a_3 B)a_4 C)a_34 D)a_43 ",[184,187,190,193],{"_8":185,"_35":186},177933,"\\ltr{a_3}",{"_8":188,"_35":189},177934,"\\ltr{a_4}",{"_8":191,"_35":192},177935,"\\ltr{a_{34}}",{"_8":194,"_35":195},177936,"\\ltr{a_{43}}",[],{"_8":198,"_33":34,"_35":199,"_12":200,"_10":201,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":202,"_80":215,"_82":27,"_116":27,"_117":-5,"_55":216},45803,"ما رتبة المصفوفة\n\\ltr{\\;\\begin{bmatrix}\\;1&2&5&0\\;\\\\\\;5&9&7&0\\;\\\\\\;3&-4&8&0\\;\\end{bmatrix}\\;}","45803-%D9%85%D8%A7-%D8%B1%D8%AA%D8%A8%D8%A9-%D8%A7%D9%84%D9%85%D8%B5%D9%81%D9%88%D9%81%D8%A9-1-%26-2-%26-5-%26-0--5-%26-9-%26-7-%26-0--3-%26-4-%26-8-%26-0","ما رتبة المصفوفة [ 1 2 5 0; 5 9 7 0; 3 -4 8 0 ] A)3 ×4 B)4 ×3 C)3 ×2 D)3 ×3 ",[203,206,209,212],{"_8":204,"_35":205},177929,"\\ltr{3 \\times 4}",{"_8":207,"_35":208},177930,"\\ltr{4 \\times 3}",{"_8":210,"_35":211},177931,"\\ltr{3 \\times 2}",{"_8":213,"_35":214},177932,"\\ltr{3 \\times 3}",[],"ما رتبة المصفوفة $\"\"/$ ",{"_8":218,"_33":34,"_35":219,"_12":220,"_10":221,"_41":42,"_43":44,"_74":91,"_45":222,"_46":222,"_47":27,"_48":19,"_49":-5,"_50":223,"_80":236,"_82":27,"_116":27,"_117":-5,"_55":237},45781,"أي نقطة من النقاط التالية تقع في منطقة حل المتباينة \\ltr{x-2y \\leq 1} ؟","45781-%D8%A3%D9%8A-%D9%86%D9%82%D8%B7%D8%A9-%D9%85%D9%86-%D8%A7%D9%84%D9%86%D9%82%D8%A7%D8%B7-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D8%AA%D9%82%D8%B9-%D9%81%D9%8A-%D9%85%D9%86%D8%B7%D9%82%D8%A9-%D8%AD%D9%84-%D8%A7%D9%84%D9%85%D8%AA%D8%A8%D8%A7%D9%8A%D9%86%D8%A9","أي نقطة من النقاط التالية تقع في منطقة حل المتباينة x-2y ≤1 ؟ A)(2,-1) B)(2,1) C)(0,-1) D)(3,0) ","",[224,227,230,233],{"_8":225,"_35":226},177841,"\\ltr{(2,-1)}",{"_8":228,"_35":229},177842,"\\ltr{(2,1)}",{"_8":231,"_35":232},177843,"\\ltr{(0,-1)}",{"_8":234,"_35":235},177844,"\\ltr{(3,0)}",[],"أي نقطة من النقاط التالية تقع في منطقة حل المتباينة $\"\"/$ ؟",{"_8":239,"_33":34,"_35":240,"_12":241,"_10":242,"_41":42,"_43":44,"_74":91,"_45":222,"_46":222,"_47":27,"_48":19,"_49":-5,"_50":243,"_80":256,"_82":27,"_116":27,"_117":-5,"_55":257},45779,"أي الدوال التالية يكون فيها \\ltr{f\\left(\\frac{-1}{4}\\right) \\neq -1} ؟","45779-%D8%A3%D9%8A-%D8%A7%D9%84%D8%AF%D9%88%D8%A7%D9%84-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D9%8A%D9%83%D9%88%D9%86-%D9%81%D9%8A%D9%87%D8%A7-%7B4%7D)-1","أي الدوال التالية يكون فيها f(-1/4) ≠-1 ؟ A)f(x) = 4x B)f(x) = [4x] C)f(x) = [x] D)f(x) = |4x| ",[244,247,250,253],{"_8":245,"_35":246},177833,"\\ltr{f(x) = 4x}",{"_8":248,"_35":249},177834,"\\ltr{f(x) = [4x]}",{"_8":251,"_35":252},177835,"\\ltr{f(x) = [x]}",{"_8":254,"_35":255},177836,"\\ltr{f(x) = |4x|}",[],"أي الدوال التالية يكون فيها $\"\"/$ ؟",{"_8":259,"_33":34,"_35":260,"_12":261,"_10":262,"_41":42,"_43":44,"_74":91,"_45":222,"_46":222,"_47":27,"_48":19,"_49":-5,"_50":263,"_80":276,"_82":27,"_116":27,"_117":-5,"_55":277},45777,"ما مدى الدالة \\ltr{f(x)=2\\sqrt{x^2}+3} ؟","45777-%D9%85%D8%A7-%D9%85%D8%AF%D9%89-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%2B3","ما مدى الدالة f(x)=2√(x^2)+3 ؟ A)[3, ∞) B)[2, ∞) C)[-3, ∞) D)[-3, 2) ",[264,267,270,273],{"_8":265,"_35":266},177825,"\\ltr{[3, \\infty)}",{"_8":268,"_35":269},177826,"\\ltr{[2, \\infty)}",{"_8":271,"_35":272},177827,"\\ltr{[-3, \\infty)}",{"_8":274,"_35":275},177828,"\\ltr{[-3, 2)}",[],"ما مدى الدالة $\"\"/$ ؟",{"_8":279,"_33":34,"_35":280,"_12":281,"_10":282,"_41":42,"_43":44,"_74":91,"_45":222,"_46":222,"_47":27,"_48":19,"_49":-5,"_50":283,"_80":295,"_82":27,"_116":27,"_117":-5,"_55":296},45775,"مدى الدالة \\ltr{f(x) = |x - 2| + 3} هو ..","45775-%D9%85%D8%AF%D9%89-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D9%87%D9%88","مدى الدالة f(x) = |x - 2| + 3 هو .. A)(0, ∞) B)[3, ∞) C)(2, ∞) D)(1, ∞) ",[284,287,289,292],{"_8":285,"_35":286},177817,"\\ltr{(0, \\infty)}",{"_8":288,"_35":266},177818,{"_8":290,"_35":291},177819,"\\ltr{(2, \\infty)}",{"_8":293,"_35":294},177820,"\\ltr{(1, \\infty)}",[],"مدى الدالة $\"\"/$ هو ..","detailedAnswer",[299,304,306,308],{"_8":58,"_35":59,"_300":27,"_301":302,"_303":-5},"is_correct","question_option_details",[],"has_access",{"_8":66,"_35":67,"_300":27,"_301":305,"_303":-5},[],{"_8":62,"_35":63,"_300":27,"_301":307,"_303":-5},[],{"_8":53,"_35":54,"_300":19,"_301":309,"_303":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

ناتج يساوي

ناتج $\ltr{\;\left[\;\begin{array}{cc}1&-1\\0&-2\end{array}\;\right]\;+2\;\left[\;\begin{array}{cc}3&-1\\2&0\end{array}\;\right]\;=\;}$ يساوي