[{"_1":2,"_347":-5,"_348":-5},"loaderData",{"_3":4,"_39":40,"_346":-5},"root",{"_5":6,"_35":36,"_37":38},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17,"_33":34},"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,"_24":19,"_25":19,"_26":19,"_27":19,"_28":19,"_29":19,"_30":19,"_31":19,"_32":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","question_bank_page","esdarat_page","namathej_page","user_reviews_page","golden_page","study_plan_page","support_exam","data_in_arabic","overview_page","topic_streams",[],"whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_41":42,"_110":111,"_327":328,"_340":341,"_342":38,"_343":43,"_344":345},"loaderQuestion",{"_8":43,"_44":45,"_46":47,"_10":48,"_12":49,"_50":51,"_52":53,"_54":55,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":63,"_81":82,"_87":88,"_92":93,"_94":38,"_95":-5,"_96":97,"_98":99,"_100":101,"_102":103,"_104":19,"_67":105,"_106":107,"_108":109},71597,"type","MULTIPLE_CHOICE","text","إذا كان \\ltr{i=\\sqrt{-1}} فإن \\ltr{\\frac{1-i}{2+i}} =","إذا كان i=√(-1) فإن 1-i/2+i = A)1/2-3/2i B)1- i C)1/5i-3/5 D)1/5 - 3i/5 ","71597-إذا-كان-}-فإن-{2+i}}-=-{2}-{2}i}-{5}i-{5}}-{5}-{5","order",118,"unit_id",49,"topic_id",3,"comparison_value1","","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[64,69,73,77],{"_8":65,"_46":66,"_67":68},267179,"\\ltr{\\frac{1}{2}-\\frac{3}{2}i}","renderedText"," $\"\"/$ ",{"_8":70,"_46":71,"_67":72},267180,"\\ltr{1-\\;i}"," $\"\"/$ ",{"_8":74,"_46":75,"_67":76},267181,"\\ltr{\\frac{1}{5}i-\\frac{3}{5}}"," $\"\"/$ ",{"_8":78,"_46":79,"_67":80},267182,"\\ltr{\\frac{1}{5} - \\frac{3i}{5}}"," $\"\"/$ ","previous_question",{"_8":83,"_44":45,"_46":84,"_12":85,"_10":-5,"_56":-5,"_58":-5,"_59":-5,"_60":-5,"_52":-5,"_86":-5,"_54":-5,"_61":-5},71596,"\\ltr{i^{48} + i^{47} + i^{46} + i^{45}} = ...","71596-+-i^{47}-+-i^{46}-+-i^{45}}-=-0-1-i-1","section_id","next_question",{"_8":89,"_44":45,"_46":90,"_12":91,"_10":-5,"_56":57,"_58":57,"_59":-5,"_60":-5,"_52":-5,"_86":-5,"_54":-5,"_61":-5},71598,"المقدار \\ltr{\\left(\\;2\\;+\\;3\\;i\\;\\right)\\;\\left(\\;1\\;-\\;2\\;i\\;\\right)} يساوي..","71598-المقدار-يساوي","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",206,"unitTitle","كثيرات الحدود ودوالها","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","إذا كان $\"\"/$ فإن $\"\"/$ =","encodedPrevQuestionSlug","71596-%2B-i%5E%7B47%7D-%2B-i%5E%7B46%7D-%2B-i%5E%7B45%7D%7D-%3D-0-1-i-1","encodedNextQuestionSlug","71598-%D8%A7%D9%84%D9%85%D9%82%D8%AF%D8%A7%D8%B1-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","relatedQuestions",[112,137,159,181,203,225,246,266,288,308],{"_8":83,"_44":45,"_46":84,"_12":113,"_10":114,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":38,"_61":-5,"_62":116,"_92":129,"_94":38,"_130":38,"_131":132,"_67":136},"71596-%2B-i%5E%7B47%7D-%2B-i%5E%7B46%7D-%2B-i%5E%7B45%7D%7D-=-0-1-i-1","i^48 + i^47 + i^46 + i^45 = ... A)0 B)1 C)i D)-1 ","unit_name",[117,120,123,126],{"_8":118,"_46":119},267175,"0",{"_8":121,"_46":122},267176,"1",{"_8":124,"_46":125},267177,"i",{"_8":127,"_46":128},267178,"-1",[],"is_all_explanations_deleted","contents_tags_ids",{"_133":134},"ids",[135],1546," $\"\"/$ = ...",{"_8":138,"_44":45,"_46":139,"_12":140,"_10":141,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":142,"_92":155,"_94":38,"_130":38,"_131":156,"_67":158},71595,"\\ltr{\\sqrt{(4+3i)(4-3i)}} ؟","71595-%7D-4-9-5-3","√((4+3i)(4-3i)) ؟ A)4 B)9 C)5 D)3 ",[143,146,149,152],{"_8":144,"_46":145},267171,"4",{"_8":147,"_46":148},267172,"9",{"_8":150,"_46":151},267173,"5",{"_8":153,"_46":154},267174,"3",[],{"_133":157},[135]," $\"\"/$ ؟",{"_8":160,"_44":45,"_46":161,"_12":162,"_10":163,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":38,"_61":-5,"_62":164,"_92":177,"_94":38,"_130":38,"_131":178,"_67":180},71594,"ناتج ضرب العددين المركبين \\ltr{(2-6i)(2+6i)} يساوي ..","71594-%D9%86%D8%A7%D8%AA%D8%AC-%D8%B6%D8%B1%D8%A8-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF%D9%8A%D9%86-%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%A8%D9%8A%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A-32-40","ناتج ضرب العددين المركبين (2-6i)(2+6i) يساوي .. A)-32 B)4-6i C)40 D)4-36i ",[165,168,171,174],{"_8":166,"_46":167},267167,"-32",{"_8":169,"_46":170},267168,"\\ltr{4-6i}",{"_8":172,"_46":173},267169,"40",{"_8":175,"_46":176},267170,"\\ltr{4-36i}",[],{"_133":179},[135],"ناتج ضرب العددين المركبين $\"\"/$ يساوي ..",{"_8":182,"_44":45,"_46":183,"_12":184,"_10":185,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":186,"_92":199,"_94":38,"_130":38,"_131":200,"_67":202},71593,"تبسيط العدد \\ltr{\\sqrt{-36}} هو..","71593-%D8%AA%D8%A8%D8%B3%D9%8A%D8%B7-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF-%7D-%D9%87%D9%88-6-6","تبسيط العدد √(-36) هو.. A)-6 B)-6 i C)6 i D)6 ",[187,190,193,196],{"_8":188,"_46":189},267163,"-6",{"_8":191,"_46":192},267164,"\\ltr{-6\\;i}",{"_8":194,"_46":195},267165,"\\ltr{6\\;i}",{"_8":197,"_46":198},267166,"6",[],{"_133":201},[135],"تبسيط العدد $\"\"/$ هو..",{"_8":204,"_44":45,"_46":205,"_12":206,"_10":207,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":208,"_92":221,"_94":38,"_130":38,"_131":222,"_67":224},71592,"إذا كانت \\ltr{z = 5 + 3i} فإن المرافق هو :","71592-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D9%81%D8%A5%D9%86-%D8%A7%D9%84%D9%85%D8%B1%D8%A7%D9%81%D9%82-%D9%87%D9%88-%7B16%7D-i-%2B-%7B16%7D%7D-%7B31%7Di-%7B34","إذا كانت z = 5 + 3i فإن المرافق هو : A)5/16 i + 5/16 B)5 - 3i C)5 + 3i D)5/31i - 5/34 ",[209,212,215,218],{"_8":210,"_46":211},267159,"\\ltr{\\frac{5}{16} i + \\frac{5}{16}}",{"_8":213,"_46":214},267160,"\\ltr{5 - 3i}",{"_8":216,"_46":217},267161,"\\ltr{5 + 3i}",{"_8":219,"_46":220},267162,"\\ltr{\\frac{5}{31}i - \\frac{5}{34}}",[],{"_133":223},[135],"إذا كانت $\"\"/$ فإن المرافق هو :",{"_8":226,"_44":45,"_46":227,"_12":228,"_10":229,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":38,"_61":-5,"_62":230,"_92":242,"_94":38,"_130":38,"_131":243,"_67":245},71591,"ما ناتج \\ltr{(6i - 2) (6i + 2)} ؟","71591-%D9%85%D8%A7-%D9%86%D8%A7%D8%AA%D8%AC-32-40","ما ناتج (6i - 2) (6i + 2) ؟ A)-32 B)-40 C)4 - 6i D)4 - 36i ",[231,233,236,239],{"_8":232,"_46":167},267155,{"_8":234,"_46":235},267156,"-40",{"_8":237,"_46":238},267157,"\\ltr{4 - 6i}",{"_8":240,"_46":241},267158,"\\ltr{4 - 36i}",[],{"_133":244},[135],"ما ناتج $\"\"/$ ؟",{"_8":247,"_44":45,"_46":248,"_12":249,"_10":250,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":251,"_92":262,"_94":38,"_130":38,"_131":263,"_67":265},71590,"\\ltr{i^{22}=...}","71590-=%7D-1-1","i^22=... A)1 B)i C)-1 D)-i ",[252,254,257,259],{"_8":253,"_46":122},267151,{"_8":255,"_46":256},267152,"\\ltr{i}",{"_8":258,"_46":128},267153,{"_8":260,"_46":261},267154,"-\\ltr{i}",[],{"_133":264},[135]," $\"\"/$ ",{"_8":267,"_44":45,"_46":268,"_12":269,"_10":270,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":271,"_92":284,"_94":38,"_130":38,"_131":285,"_67":287},71589,"تبسيط العبارة \\ltr{\\frac{i-1}{2i}} ..","71589-%D8%AA%D8%A8%D8%B3%D9%8A%D8%B7-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%7B2i%7D%7D-%7B2%7D-%7B2%7Di%7D-%7B2%7D%2B%7B2%7Di%7D-2-12i","تبسيط العبارة i-1/2i .. A)1/2-1/2i B)1/2+1/2i C)-1/2 - 1/2 i D)-1/2 i ",[272,275,278,281],{"_8":273,"_46":274},267147,"\\ltr{\\frac{1}{2}-\\frac{1}{2}i}",{"_8":276,"_46":277},267148,"\\ltr{\\frac{1}{2}+\\frac{1}{2}i}",{"_8":279,"_46":280},267149,"\\ltr{\\frac{-1}2\\;-\\;\\frac12\\;i}",{"_8":282,"_46":283},267150,"\\ltr{-\\frac12\\;i}",[],{"_133":286},[135],"تبسيط العبارة $\"\"/$ ..",{"_8":289,"_44":45,"_46":290,"_12":291,"_10":292,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":293,"_92":304,"_94":38,"_130":38,"_131":305,"_67":307},71588,"قيمة \\ltr{i^5} تساوي..","71588-%D9%82%D9%8A%D9%85%D8%A9-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-1","قيمة i^5 تساوي.. A)1 B)-1 C)i D)-i ",[294,296,299,301],{"_8":295,"_46":122},267143,{"_8":297,"_46":298},267144,"\\ltr{-1}",{"_8":300,"_46":256},267145,{"_8":302,"_46":303},267146,"\\ltr{-i}",[],{"_133":306},[135],"قيمة $\"\"/$ تساوي..",{"_8":309,"_44":45,"_46":310,"_12":311,"_10":312,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":313,"_92":323,"_94":38,"_130":38,"_131":324,"_67":326},71587,"أوجد قيمة \\ltr{i^{100}} .","71587-%D8%A3%D9%88%D8%AC%D8%AF-%D9%82%D9%8A%D9%85%D8%A9-%7D-1-1-i-i","أوجد قيمة i^100 . A)-1 B)1 C)i D)-i ",[314,316,318,320],{"_8":315,"_46":128},267139,{"_8":317,"_46":122},267140,{"_8":319,"_46":125},267141,{"_8":321,"_46":322},267142,"-i",[],{"_133":325},[135],"أوجد قيمة $\"\"/$ .","detailedAnswer",[329,334,336,338],{"_8":65,"_46":66,"_330":38,"_331":332,"_333":-5},"is_correct","question_option_details",[],"has_access",{"_8":70,"_46":71,"_330":38,"_331":335,"_333":-5},[],{"_8":74,"_46":75,"_330":38,"_331":337,"_333":-5},[],{"_8":78,"_46":79,"_330":19,"_331":339,"_333":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

إذا كان فإن =

إذا كان $\ltr{i=\sqrt{-1}}$ فإن $\ltr{\frac{1-i}{2+i}}$ =