[{"_1":2,"_314":-5,"_315":-5},"loaderData",{"_3":4,"_28":29,"_313":-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,"_92":93,"_294":295,"_307":308,"_309":27,"_310":32,"_311":312},"loaderQuestion",{"_8":32,"_33":34,"_35":36,"_10":37,"_12":38,"_39":40,"_41":42,"_43":44,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":52,"_70":71,"_76":-5,"_77":78,"_79":27,"_80":-5,"_81":40,"_82":83,"_84":85,"_86":87,"_88":19,"_56":89,"_90":91},69263,"type","MULTIPLE_CHOICE","text","الصيغة القطبية للعدد المركب \\ltr{z = x + yi} هي ...","الصيغة القطبية للعدد المركب z = x + yi هي ... A)√(x^2 + y^2) B)|z| cosθ C)r (cosθ+ i sinθ) D)|z| sinθ ","69263-الصيغة-القطبية-للعدد-المركب-هي","order",86,"unit_id",58,"topic_id",3,"comparison_value1","","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[53,58,62,66],{"_8":54,"_35":55,"_56":57},258701,"\\ltr{\\sqrt{x^2 + y^2}}","renderedText"," $\"\"/$ ",{"_8":59,"_35":60,"_56":61},258702,"\\ltr{|z| \\cos \\theta}"," $\"\"/$ ",{"_8":63,"_35":64,"_56":65},258703,"\\ltr{r (\\cos \\theta + i \\sin \\theta)}"," $\"\"/$ ",{"_8":67,"_35":68,"_56":69},258704,"\\ltr{|z| \\sin \\theta}"," $\"\"/$ ","previous_question",{"_8":72,"_33":34,"_35":73,"_12":74,"_10":-5,"_45":46,"_47":46,"_48":-5,"_49":-5,"_41":-5,"_75":-5,"_43":-5,"_50":-5},69261,"مقياس العدد المركب \\ltr{Z = -3 - \\sqrt{5}i} يسـاوي ..","69261-مقياس-العدد-المركب-i}-يسـاوي","section_id","next_question","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number","unitTitle","الإحداثيات القطبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","الصيغة القطبية للعدد المركب $\"\"/$ هي ...","encodedPrevQuestionSlug","69261-%D9%85%D9%82%D9%8A%D8%A7%D8%B3-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF-%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%A8-i%7D-%D9%8A%D8%B3%D9%80%D8%A7%D9%88%D9%8A","relatedQuestions",[94,114,134,154,174,194,214,234,254,274],{"_8":72,"_33":34,"_35":73,"_12":91,"_10":95,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":97,"_77":110,"_79":27,"_111":27,"_112":-5,"_56":113},"مقياس العدد المركب Z = -3 - √(5)i يسـاوي .. A)√(15) B)√(3) C)√(5) D)√(14) ","unit_name",[98,101,104,107],{"_8":99,"_35":100},258693,"\\ltr{\\sqrt{15}}",{"_8":102,"_35":103},258694,"\\ltr{\\sqrt{3}}",{"_8":105,"_35":106},258695,"\\ltr{\\sqrt{5}}",{"_8":108,"_35":109},258696,"\\ltr{\\sqrt{14}}",[],"is_all_explanations_deleted","contents_tags_ids","مقياس العدد المركب $\"\"/$ يسـاوي ..",{"_8":115,"_33":34,"_35":116,"_12":117,"_10":118,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":119,"_77":132,"_79":27,"_111":27,"_112":-5,"_56":133},69259,"ما هو العدد المركب الذي قيمة أحد جذوره الرباعية هي \\ltr{1+i} ؟","69259-%D9%85%D8%A7-%D9%87%D9%88-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF-%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%A8-%D8%A7%D9%84%D8%B0%D9%8A-%D9%82%D9%8A%D9%85%D8%A9-%D8%A3%D8%AD%D8%AF-%D8%AC%D8%B0%D9%88%D8%B1%D9%87-%D8%A7%D9%84%D8%B1%D8%A8%D8%A7%D8%B9%D9%8A%D8%A9-%D9%87%D9%8A","ما هو العدد المركب الذي قيمة أحد جذوره الرباعية هي 1+i ؟ A)4 B)-4 C)4i D)-4i ",[120,123,126,129],{"_8":121,"_35":122},258685,"\\ltr{4}",{"_8":124,"_35":125},258686,"\\ltr{-4}",{"_8":127,"_35":128},258687,"\\ltr{4i}",{"_8":130,"_35":131},258688,"\\ltr{-4i}",[],"ما هو العدد المركب الذي قيمة أحد جذوره الرباعية هي $\"\"/$ ؟",{"_8":135,"_33":34,"_35":136,"_12":137,"_10":138,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":139,"_77":152,"_79":27,"_111":27,"_112":-5,"_56":153},69257,"الصورة القطبية للعدد المركب \\ltr{z = \\sqrt{3} + i} هي...","69257-%D8%A7%D9%84%D8%B5%D9%88%D8%B1%D8%A9-%D8%A7%D9%84%D9%82%D8%B7%D8%A8%D9%8A%D8%A9-%D9%84%D9%84%D8%B9%D8%AF%D8%AF-%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%A8-%2B-i%7D-%D9%87%D9%8A-%7B2%7D%7D-%2B-i-%7B2%7D%7D-)%7D-%7B6%7D%7D-%2B-i-%7B6%7D%7D-)%7D-%7B3%7D%7D-%2B-i-%7B3%7D%7D-)%7D-%2B-i","الصورة القطبية للعدد المركب z = √(3) + i هي... A)2 ( cosπ/2 + i sinπ/2 ) B)2 ( cosπ/6 + i sinπ/6 ) C)2 ( cosπ/3 + i sinπ/3 ) D)2 ( cosπ + i sinπ ) ",[140,143,146,149],{"_8":141,"_35":142},258677,"\\ltr{2 \\left( \\cos{\\frac{\\pi}{2}} + i \\sin{\\frac{\\pi}{2}} \\right)}",{"_8":144,"_35":145},258678,"\\ltr{2 \\left( \\cos{\\frac{\\pi}{6}} + i \\sin{\\frac{\\pi}{6}} \\right)}",{"_8":147,"_35":148},258679,"\\ltr{2 \\left( \\cos{\\frac{\\pi}{3}} + i \\sin{\\frac{\\pi}{3}} \\right)}",{"_8":150,"_35":151},258680,"\\ltr{2 \\left( \\cos{\\pi} + i \\sin{\\pi} \\right)}",[],"الصورة القطبية للعدد المركب $\"\"/$ هي...",{"_8":155,"_33":34,"_35":156,"_12":157,"_10":158,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":159,"_77":172,"_79":27,"_111":27,"_112":-5,"_56":173},69256,"أوجد \\ltr{(1+i)} بالصورة القطبية.","69256-%D8%A3%D9%88%D8%AC%D8%AF-%D8%A8%D8%A7%D9%84%D8%B5%D9%88%D8%B1%D8%A9-%D8%A7%D9%84%D9%82%D8%B7%D8%A8%D9%8A%D8%A9-%7B4%7D%2Bi%2Csin%7B4%7D)%7D-%7B3%7D%2Bi%2Csin%7B3%7D)%7D-(cos%7B4%7D%2Bi%2Csin%7B4%7D)%7D-(cos%7B3%7D%2Bi%2Csin%7B3","أوجد (1+i) بالصورة القطبية. A)2(cosπ/4+i sinπ/4) B)2(cosπ/3+i sinπ/3) C)√(2)(cosπ/4+i sinπ/4) D)√(2)(cosπ/3+i sinπ/3) ",[160,163,166,169],{"_8":161,"_35":162},258673,"\\ltr{2(cos\\frac{\\pi}{4}+i\\,sin\\frac{\\pi}{4})}",{"_8":164,"_35":165},258674,"\\ltr{2(cos\\frac{\\pi}{3}+i\\,sin\\frac{\\pi}{3})}",{"_8":167,"_35":168},258675,"\\ltr{\\sqrt{2}(cos\\frac{\\pi}{4}+i\\,sin\\frac{\\pi}{4})}",{"_8":170,"_35":171},258676,"\\ltr{\\sqrt{2}(cos\\frac{\\pi}{3}+i\\,sin\\frac{\\pi}{3})}",[],"أوجد $\"\"/$ بالصورة القطبية.",{"_8":175,"_33":34,"_35":176,"_12":177,"_10":178,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":179,"_77":192,"_79":27,"_111":27,"_112":-5,"_56":193},69253,"الصورة القطبية للعدد المركب \\ltr{z = i} هي ..","69253-%D8%A7%D9%84%D8%B5%D9%88%D8%B1%D8%A9-%D8%A7%D9%84%D9%82%D8%B7%D8%A8%D9%8A%D8%A9-%D9%84%D9%84%D8%B9%D8%AF%D8%AF-%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%A8-%D9%87%D9%8A-%7B2%7D-%2B-i-%7B2%7D-)%7D-%7B6%7D-%2B-i-%7B6%7D-)%7D-%7B4%7D-%2B-i-%7B4%7D-)%7D-%7B3%7D-%2B-i-%7B3","الصورة القطبية للعدد المركب z = i هي .. A)( cosπ/2 + i sinπ/2 ) B)( cosπ/6 + i sinπ/6 ) C)( cosπ/4 + i sinπ/4 ) D)( cosπ/3 + i sinπ/3 ) ",[180,183,186,189],{"_8":181,"_35":182},258661,"\\ltr{\\left( \\cos \\frac{\\pi}{2} + i \\sin \\frac{\\pi}{2} \\right)}",{"_8":184,"_35":185},258662,"\\ltr{\\left( \\cos \\frac{\\pi}{6} + i \\sin \\frac{\\pi}{6} \\right)}",{"_8":187,"_35":188},258663,"\\ltr{\\left( \\cos \\frac{\\pi}{4} + i \\sin \\frac{\\pi}{4} \\right)}",{"_8":190,"_35":191},258664,"\\ltr{\\left( \\cos \\frac{\\pi}{3} + i \\sin \\frac{\\pi}{3} \\right)}",[],"الصورة القطبية للعدد المركب $\"\"/$ هي ..",{"_8":195,"_33":34,"_35":196,"_12":197,"_10":198,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":199,"_77":212,"_79":27,"_111":27,"_112":-5,"_56":213},69250,"المسافة بين النقطتين \\ltr{(40^\\circ , 420^\\circ) ~ و~( -3 , 60^\\circ )} في المستوى القطبي هي ...","69250-%D8%A7%D9%84%D9%85%D8%B3%D8%A7%D9%81%D8%A9-%D8%A8%D9%8A%D9%86-%D8%A7%D9%84%D9%86%D9%82%D8%B7%D8%AA%D9%8A%D9%86-%D9%81%D9%8A-%D8%A7%D9%84%D9%85%D8%B3%D8%AA%D9%88%D9%89-%D8%A7%D9%84%D9%82%D8%B7%D8%A8%D9%8A-%D9%87%D9%8A-33-43-81-29","المسافة بين النقطتين (40^∘, 420^∘) و ( -3 , 60^∘) في المستوى القطبي هي ... A)33 B)43 C)81 D)29 ",[200,203,206,209],{"_8":201,"_35":202},258649,"33",{"_8":204,"_35":205},258650,"43",{"_8":207,"_35":208},258651,"81",{"_8":210,"_35":211},258652,"29",[],"المسافة بين النقطتين $\"\"/$ في المستوى القطبي هي ...",{"_8":215,"_33":34,"_35":216,"_12":217,"_10":218,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":219,"_77":232,"_79":27,"_111":27,"_112":-5,"_56":233},69244,"في الإحداثيات القطبية، أي مما يلي لا يكافئ \\ltr{(3, 2\\pi)} ؟","69244-%D9%81%D9%8A-%D8%A7%D9%84%D8%A5%D8%AD%D8%AF%D8%A7%D8%AB%D9%8A%D8%A7%D8%AA-%D8%A7%D9%84%D9%82%D8%B7%D8%A8%D9%8A%D8%A9-%D8%A3%D9%8A-%D9%85%D9%85%D8%A7-%D9%8A%D9%84%D9%8A-%D9%84%D8%A7-%D9%8A%D9%83%D8%A7%D9%81%D8%A6","في الإحداثيات القطبية، أي مما يلي لا يكافئ (3, 2π) ؟ A)(3, 360^∘) B)(3, π) C)(3, 0^∘) D)(3, 4π) ",[220,223,226,229],{"_8":221,"_35":222},258625,"\\ltr{(3, 360^\\circ)}",{"_8":224,"_35":225},258626,"\\ltr{(3, \\pi)}",{"_8":227,"_35":228},258627,"\\ltr{(3, 0^\\circ)}",{"_8":230,"_35":231},258628,"\\ltr{(3, 4\\pi)}",[],"في الإحداثيات القطبية، أي مما يلي لا يكافئ $\"\"/$ ؟",{"_8":235,"_33":34,"_35":236,"_12":237,"_10":238,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":239,"_77":252,"_79":27,"_111":27,"_112":-5,"_56":253},69238,"ما الصورة القطبية للنقطة \\ltr{(−1 , −1)} ؟","69238-%D9%85%D8%A7-%D8%A7%D9%84%D8%B5%D9%88%D8%B1%D8%A9-%D8%A7%D9%84%D9%82%D8%B7%D8%A8%D9%8A%D8%A9-%D9%84%D9%84%D9%86%D9%82%D8%B7%D8%A9-%2C-225%5E)%7D-%2C-135%5E)%7D-%2C-315","ما الصورة القطبية للنقطة (−1 , −1) ؟ A)(1, 45^∘) B)(√(2), 225^∘) C)(√(2), 135^∘) D)(√(2), 315^∘) ",[240,243,246,249],{"_8":241,"_35":242},258601,"\\ltr{(1, 45^\\circ)}",{"_8":244,"_35":245},258602,"\\ltr{(\\sqrt{2}, 225^\\circ)}",{"_8":247,"_35":248},258603,"\\ltr{(\\sqrt{2}, 135^\\circ)}",{"_8":250,"_35":251},258604,"\\ltr{(\\sqrt{2}, 315^\\circ)}",[],"ما الصورة القطبية للنقطة $\"\"/$ ؟",{"_8":255,"_33":34,"_35":256,"_12":257,"_10":258,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":259,"_77":272,"_79":27,"_111":27,"_112":-5,"_56":273},69234,"المسافة بين النقطتين \\ltr{(4, 240^\\circ)} و \\ltr{(-3, 60^\\circ)} تساوي ..","69234-%D8%A7%D9%84%D9%85%D8%B3%D8%A7%D9%81%D8%A9-%D8%A8%D9%8A%D9%86-%D8%A7%D9%84%D9%86%D9%82%D8%B7%D8%AA%D9%8A%D9%86-%D9%88-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A","المسافة بين النقطتين (4, 240^∘) و (-3, 60^∘) تساوي .. A)-3 B)1 C)3 D)2 ",[260,263,266,269],{"_8":261,"_35":262},258585,"\\ltr{-3}",{"_8":264,"_35":265},258586,"\\ltr{1}",{"_8":267,"_35":268},258587,"\\ltr{3}",{"_8":270,"_35":271},258588,"\\ltr{2}",[],"المسافة بين النقطتين $\"\"/$ و $\"\"/$ تساوي ..",{"_8":275,"_33":34,"_35":276,"_12":277,"_10":278,"_41":42,"_96":-5,"_43":44,"_75":87,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":279,"_77":292,"_79":27,"_111":27,"_112":-5,"_56":293},69228,"الصورة الديكارتية للنقطة \\ltr{(2,\\frac{\\pi}{4})} هي...","69228-%D8%A7%D9%84%D8%B5%D9%88%D8%B1%D8%A9-%D8%A7%D9%84%D8%AF%D9%8A%D9%83%D8%A7%D8%B1%D8%AA%D9%8A%D8%A9-%D9%84%D9%84%D9%86%D9%82%D8%B7%D8%A9-%7B4%7D)%7D-%D9%87%D9%8A-)%7D-%2C)%7D-%2C2","الصورة الديكارتية للنقطة (2,π/4) هي... A)(2,√(2)) B)(√(2),√(2)) C)(√(2),2) D)(2,2) ",[280,283,286,289],{"_8":281,"_35":282},258561,"\\ltr{(2,\\sqrt{2})}",{"_8":284,"_35":285},258562,"\\ltr{(\\sqrt{2},\\sqrt{2})}",{"_8":287,"_35":288},258563,"\\ltr{(\\sqrt{2},2)}",{"_8":290,"_35":291},258564,"\\ltr{(2,2)}",[],"الصورة الديكارتية للنقطة $\"\"/$ هي...","detailedAnswer",[296,301,303,305],{"_8":54,"_35":55,"_297":27,"_298":299,"_300":-5},"is_correct","question_option_details",[],"has_access",{"_8":59,"_35":60,"_297":27,"_298":302,"_300":-5},[],{"_8":63,"_35":64,"_297":19,"_298":304,"_300":-5},[],{"_8":67,"_35":68,"_297":27,"_298":306,"_300":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

الصيغة القطبية للعدد المركب هي ...

الصيغة القطبية للعدد المركب $\ltr{z = x + yi}$ هي ...