اختبار-نهائي-رياضيات-3-3-مسارات-1445-موقع-منهجي.docx

المملكة العربية السعودية وزارة التعليم الإدارة العامة للتعليم \...\... الثانوية\...\...\.... الدرجة النهائية المادة: رياضيات3-3 التاريخ: 27/11/1445هـ الزمن: ساعتان اليوم: الثلاثاء أسئلة اختبار مقرر رياضيات3 -3 (مسارات/عام) الفصل الدراسي الثالث لعام 1445 هـ اسم الطالبة رباعي: الصف: رق...

المملكة العربية السعودية وزارة التعليم الإدارة العامة للتعليم \...\... الثانوية\...\...\.... الدرجة النهائية المادة: رياضيات3-3 التاريخ: 27/11/1445هـ الزمن: ساعتان اليوم: الثلاثاء أسئلة اختبار مقرر رياضيات3 -3 (مسارات/عام) الفصل الدراسي الثالث لعام 1445 هـ اسم الطالبة رباعي: الصف: رقم الجلوس: +---------+---------+---------+---------+---------+---------+---------+ | الأسئلة | الدرجـة | المصـحح | المراجع | المدققة | - است | | | | | ة | ة | وتوقيعه | فتحي | | | | | وتوقيعه | وتوقيعه | ا | بال | | | | | ا | ا | | بسملة | | | | | | | | وال | | | | | | | | دعاء | | | | | | | | بال | | | | | | | | تيسير | | | | | | | | وال | | | | | | | | توفيق | | | | | | | | للص | | | | | | | | واب. | | +=========+=========+=========+=========+=========+=========+=========+ | | رقماً | كتابة | | | | | +---------+---------+---------+---------+---------+---------+---------+ | الأول | | | | | | | +---------+---------+---------+---------+---------+---------+---------+ | الثاني | | | | | | | +---------+---------+---------+---------+---------+---------+---------+ | المجموع | | | | | | | +---------+---------+---------+---------+---------+---------+---------+ [السؤال الأول:] اختاري الإجابة الصحيحة فيما يلي ([إجابة واحدة فقط]) وظللي في ورقة الاجابة +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | الشكل | | | | | | | | | | المقا | | | | | | | | | | بل | | | | | | | | | | يمثل | | | | | | | | | | نقطة | | | | | | | | | | في | | | | | | | | | | نظام | | | | | | | | | | الاحد | | | | | | | | | | اثيات | | | | | | | | | | القطب | | | | | | | | | | ية | | | | | | | | | | هى | | | | | | | | | | | | | | | | | | | |  | | | | | | | | +=======+=======+=======+=======+=======+=======+=======+=======+=======+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [(−2  | | [(2 , | | [(2 , | | [( 30 | | | | , 150 | | 210^^ | |  30^^ | | ^^∘^^ | | | | )]{.m | | ∘^^)] | | ∘^^)] | | ,2)]{ | | | | ath | | {.mat | | {.mat | |.math | | | |.disp | | h | | h | |.disp | | | | lay}\ | |.disp | |.disp | | lay}\ | | | | | | lay}\ | | lay}\ | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 2 | **في | | | | | | | | | | نظام | | | | | | | | | | الاحد | | | | | | | | | | اثيات | | | | | | | | | | القطب | | | | | | | | | | ية | | | | | | | | | | النقط | | | | | | | | | | ة** | | | | | | | | | | [(2,3 | | | | | | | | | | 0^^** | | | | | | | | | | ∘**^^ | | | | | | | | | | )]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **تكا | | | | | | | | | | فيء | | | | | | | | | | اي من | | | | | | | | | | النقا | | | | | | | | | | ط | | | | | | | | | | الاتي | | | | | | | | | | ة** | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [(2,  | | [(2,3 | | [(2,3 | | [(2,  | | | | − 330 | | 60^^* | | 00^^* | | − 30^ | | | | ^^**∘ | | *∘**^ | | *∘**^ | | ^**∘* | | | | **^^) | | ^)]{. | | ^)]{. | | *^^)] | | | | ]{.ma | | math | | math | | {.mat | | | | th | |.disp | |.disp | | h | | | |.disp | | lay}\ | | lay}\ | |.disp | | | | lay}\ | | | | | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 3 | الشكل | | | | | | | | | | المقا | | | | | | | | | | بل | | | | | | | | | | يعبر | | | | | | | | | | عن | | | | | | | | | | المعا | | | | | | | | | | دلة | | | | | | | | | | القطب | | | | | | | | | | ية | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [\$\$ | | [\$\$ | | [\$\$ | | [\$\$ | | | | \\the | | \\the | | \\the | | \\the | | | | ta | | ta | | ta | | ta | | | | = | | = | | = | | = | | | | \\fra | | \\fra | | \\fra | | \\fra | | | | c{\\p | | c{\\p | | c{\\p | | c{\\p | | | | i}{3} | | i}{6} | | i}{9} | | i}{12 | | | | \$\$] | | \$\$] | | \$\$] | | }\$\$ | | | | {.mat | | {.mat | | {.mat | | ]{.ma | | | | h | | h | | h | | th | | | |.disp | |.disp | |.disp | |.disp | | | | lay}\ | | lay}\ | | lay}\ | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 4 | المسا | | | | | | | | | | فة | | | | | | | | | | بين | | | | | | | | | | زوجي | | | | | | | | | | النقا | | | | | | | | | | ط | | | | | | | | | | [(1,  | | | | | | | | | | 60^^∘ | | | | | | | | | | ^^)]{ | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | ، | | | | | | | | | | [(4 , | | | | | | | | | |  − 31 | | | | | | | | | | 5^^∘^ | | | | | | | | | | ^)]{. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | لاقرب | | | | | | | | | | جزء | | | | | | | | | | من | | | | | | | | | | عشرة | | | | | | | | | | تساوي | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [5.4] | | {. | | [3.01 | | [4.4] | | | | {.mat | | math | | ]{.ma | | {.mat | | | | h | |.disp | | th | | h | | | |.disp | | lay}\ | |.disp | |.disp | | | | lay}\ | | | | lay}\ | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 5 | الصور | | | | | | | | | | ة | | | | | | | | | | الديك | | | | | | | | | | ارتية | | | | | | | | | | للنقط | | | | | | | | | | ة | | | | | | | | | | [(−2  | | | | | | | | | | ,90^^ | | | | | | | | | | ∘^^)] | | | | | | | | | | {.mat | | | | | | | | | | h | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | هى | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [(2,0 | | [(0,− | | [(−2, | | [(0,2 | | | | )]{.m | | 2)]{. | | 0)]{. | | )]{.m | | | | ath | | math | | math | | ath | | | |.disp | |.disp | |.disp | |.disp | | | | lay}\ | | lay}\ | | lay}\ | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 6 | الصور | | | | | | | | | | ة | | | | | | | | | | القطب | | | | | | | | | | ية | | | | | | | | | | للمعا | | | | | | | | | | دلة | | | | | | | | | | [*x*^ | | | | | | | | | | 2^ +  | | | | | | | | | | *y*^2 | | | | | | | | | | ^ = 2 | | | | | | | | | | 5]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | هى | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [*r*  | | [*r*  | | [*θ*  | | [*θ*  | | | | = 25] | | = 5]{ | | = 5]{ | | = 3]{ | | | | {.mat | |.math | |.math | |.math | | | | h | |.disp | |.disp | |.disp | | | |.disp | | lay}\ | | lay}\ | | lay}\ | | | | lay}\ | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 7 | القيم | | | | | | | | | | ة | | | | | | | | | | المطل | | | | | | | | | | قة | | | | | | | | | | للعدد | | | | | | | | | | المرك | | | | | | | | | | ب | | | | | | | | | | [ − 3 | | | | | | | | | |  + 4* | | | | | | | | | | i* ]{ | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | تساوي | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | [\$\\ | | | | [\$\$ | | [\$\$ | | {. | | sqrt{ | | | | \\sqr | | \\sqr | | math | | 5}\$] | | | | t{29} | | t{7}\ | |.disp | | {.mat | | | | \$\$] | | $\$]{ | | lay}\ | | h | | | | {.mat | |.math | | | |.inli | | | | h | |.disp | | | | ne} | | | |.disp | | lay}\ | | | | | | | | lay}\ | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 8 | **إذا | | | | | | | | | | كان | | | | | | | | | | للنقط | | | | | | | | | | ة** | | | | | | | | | | [**P* | | | | | | | | | | *]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **الا | | | | | | | | | | حداثي | | | | | | | | | | ات | | | | | | | | | | الديك | | | | | | | | | | ارتيه | | | | | | | | | | **[\$ | | | | | | | | | | \\lef | | | | | | | | | | t( | | | | | | | | | | \\sqr | | | | | | | | | | t{\\m | | | | | | | | | | athbf | | | | | | | | | | {2}}\ | | | | | | | | | | \math | | | | | | | | | | bf{\\ | | | | | | | | | | ,}\\s | | | | | | | | | | qrt{\ | | | | | | | | | | \math | | | | | | | | | | bf{2} | | | | | | | | | | }\\ma | | | | | | | | | | thbf{ | | | | | | | | | | \\ | | | | | | | | | | } | | | | | | | | | | \\rig | | | | | | | | | | ht)\$ | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **فإن | | | | | | | | | | الاحد | | | | | | | | | | اثيات | | | | | | | | | | القطب | | | | | | | | | | ية** | | | | | | | | | | [(**r | | | | | | | | | | ** ** | | | | | | | | | | ,** * | | | | | | | | | | *θ**) | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **للن | | | | | | | | | | قطة** | | | | | | | | | | [**P* | | | | | | | | | | *]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **هي | | | | | | | | | | \...* | | | | | | | | | | * | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [\$\$ | | [(**2 | | [\$\$ | | [(**2 | | | | \\lef | | ** ** | | \\lef | | ** ** | | | | t( | | ,** * | | t( | | ,** * | | | | \\sqr | | *30** | | \\sqr | | *45** | | | | t{\\m | | ^**∘* | | t{\\m | | ^**∘* | | | | athbf | | *^)]{ | | athbf | | *^)]{ | | | | {2}}\ | |.math | | {2}}\ | |.math | | | | \math | |.disp | | \math | |.disp | | | | bf{\\ | | lay}\ | | bf{\\ | | lay}\ | | | | ,30{\ | | | | ,\\ | | | | | | ^\\ci | | | | 45{\^ | | | | | | rc}} | | | | \\cir | | | | | | \\rig | | | | c}} | | | | | | ht)\$ | | | | \\rig | | | | | | \$]{. | | | | ht)\$ | | | | | | math | | | | \$]{. | | | | | |.disp | | | | math | | | | | | lay}\ | | | |.disp | | | | | | | | | | lay}\ | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 9 | ناتج | | | | | | | | | | الضرب | | | | | | | | | | [2(co | | | | | | | | | | s90^^ | | | | | | | | | | ∘^^ + | | | | | | | | | |  *i*s | | | | | | | | | | in 90 | | | | | | | | | | ^^∘^^ | | | | | | | | | | )   2 | | | | | | | | | | (cos2 | | | | | | | | | | 70^^∘ | | | | | | | | | | ^^ +  | | | | | | | | | | *i*si | | | | | | | | | | n 270 | | | | | | | | | | ^^∘^^ | | | | | | | | | | )]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | على | | | | | | | | | | الصور | | | | | | | | | | ة | | | | | | | | | | الديك | | | | | | | | | | ارتية | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | {. | | [4 +  | | [− 4] | | [ − 8 | | | | math | | *i*]{ | | {.mat | |  + *i | | | |.disp | |.math | | h | | *]{.m | | | | lay}\ | |.disp | |.disp | | ath | | | | | | lay}\ | | lay}\ | |.disp | | | | | | | | | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 10 | ناتج | | | | | | | | | | القسم | | | | | | | | | | ة | | | | | | | | | | [12(c | | | | | | | | | | os135 | | | | | | | | | | ^^∘^^ | | | | | | | | | |  + *i | | | | | | | | | | *sin  | | | | | | | | | | 135^^ | | | | | | | | | | ∘^^)  | | | | | | | | | | ÷ 2(c | | | | | | | | | | os45^ | | | | | | | | | | ^∘^^  | | | | | | | | | | + *i* | | | | | | | | | | sin 4 | | | | | | | | | | 5^^∘^ | | | | | | | | | | ^)]{. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | على | | | | | | | | | | الصور | | | | | | | | | | ة | | | | | | | | | | الديك | | | | | | | | | | ارتية | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | {. | | [6 +  | | [6*i* | | [ − 4 | | | | math | | *i*]{ | | ]{.ma | | *i*]{ | | | |.disp | |.math | | th | |.math | | | | lay}\ | |.disp | |.disp | |.disp | | | | | | lay}\ | | lay}\ | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 11 | اذا | | | | | | | | | | كان | | | | | | | | | | [\$z | | | | | | | | | | = | | | | | | | | | | 4\\le | | | | | | | | | | ft( | | | | | | | | | | \\cos | | | | | | | | | | \\fra | | | | | | | | | | c{\\p | | | | | | | | | | i}{2} | | | | | | | | | | + | | | | | | | | | | i\\si | | | | | | | | | | n\\fr | | | | | | | | | | ac{\\ | | | | | | | | | | pi}{2 | | | | | | | | | | } | | | | | | | | | | \\rig | | | | | | | | | | ht)\$ | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | فإن | | | | | | | | | | [*z*^ | | | | | | | | | | 2^]{. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | تساوي | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | | | [ − 1 | | [ − 3 | | {. | | | | {.mat | | 6]{.m | | 2]{.m | | math | | | | h | | ath | | ath | |.disp | | | |.disp | |.disp | |.disp | | lay}\ | | | | lay}\ | | lay}\ | | lay}\ | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 12 | اختار | | | | | | | | | | ي | | | | | | | | | | 230 | | | | | | | | | | شخصاً | | | | | | | | | | نصفهم | | | | | | | | | | في | | | | | | | | | | الفرق | | | | | | | | | | الريا | | | | | | | | | | ضية | | | | | | | | | | وقارن | | | | | | | | | | بين | | | | | | | | | | كمية | | | | | | | | | | الوقت | | | | | | | | | | الذي | | | | | | | | | | يمضون | | | | | | | | | | ه | | | | | | | | | | في حل | | | | | | | | | | الواج | | | | | | | | | | بات | | | | | | | | | | تعتبر | | | | | | | | | | دراسة | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | *تجري | **B** | مسحية | **C** | قائمة | **D** | ارتبا | | | | بية* | | | | على | | ط | | | | | | | | الملا | | | | | | | | | | حظة | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 13 | يعتبر | | | | | | | | | | من | | | | | | | | | | مقايس | | | | | | | | | | التشت | | | | | | | | | | ت | | | | | | | | | | ؟ | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | *الوس | **B** | الوسي | **C** | المنو | **D** | الانح | | | | ط* | | ط | | ال | | راف | | | | | | | | | | المعي | | | | | | | | | | اري | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 14 | في | | | | | | | | | | دراسة | | | | | | | | | | مسحية | | | | | | | | | | عشوائ | | | | | | | | | | ية | | | | | | | | | | شملت | | | | | | | | | | [5824 | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | شخصاً | | | | | | | | | | افاد | | | | | | | | | | [29%] | | | | | | | | | | {.mat | | | | | | | | | | h | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | منهم | | | | | | | | | | انهم | | | | | | | | | | سيشاه | | | | | | | | | | دون | | | | | | | | | | الاول | | | | | | | | | | مبياد | | | | | | | | | | فيكون | | | | | | | | | | هامش | | | | | | | | | | خطأ | | | | | | | | | | المعا | | | | | | | | | | ينة | | | | | | | | | | يساوي | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [ ± 0 | | [ ± 0 | | [ ± 0 | | [ ± 0 | | | |.0001 | |.131] | |.0131 | |.0013 | | | | 72]{. | | {.mat | | ]{.ma | | 1]{.m | | | | math | | h | | th | | ath | | | |.disp | |.disp | |.disp | |.disp | | | | lay}\ | | lay}\ | | lay}\ | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 15 | الوسط | | | | | | | | | | للقيم | | | | | | | | | | [5 ,  | | | | | | | | | | 9 , 1 | | | | | | | | | | 4 ,   | | | | | | | | | | 6 ,   | | | | | | | | | | 8 , 1 | | | | | | | | | | 2  ]{ | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | يساوي | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | { | | {. | | {. | | {. | | | |.math | | math | | math | | math | | | |.disp | |.disp | |.disp | |.disp | | | | lay}\ | | lay}\ | | lay}\ | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 16 | يحتوي | | | | | | | | | | كيس | | | | | | | | | | على | | | | | | | | | | [40 ] | | | | | | | | | | {.mat | | | | | | | | | | h | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | كرة | | | | | | | | | | منها | | | | | | | | | | {. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | كرات | | | | | | | | | | صفراء | | | | | | | | | | و | | | | | | | | | | { | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | كرات | | | | | | | | | | زرقاء | | | | | | | | | | إذا | | | | | | | | | | سحبت | | | | | | | | | | منه | | | | | | | | | | كرة | | | | | | | | | | واحدة | | | | | | | | | | عشوائ | | | | | | | | | | يا | | | | | | | | | | فما | | | | | | | | | | احتما | | | | | | | | | | ل | | | | | | | | | | ان | | | | | | | | | | تكون | | | | | | | | | | صفراء | | | | | | | | | | إذا | | | | | | | | | | علم | | | | | | | | | | انها | | | | | | | | | | ليست | | | | | | | | | | زرقاء | | | | | | | | | | ؟ | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | \ | **B** | \ | **C** | \ | **D** | \ | | | | [\$\$ | | [\$\$ | | [\$\$ | | [\$\$ | | | | \\fra | | \\fra | | \\fra | | \\fra | | | | c{1}{ | | c{6}{ | | c{5}{ | | c{8}{ | | | | 6}\$\ | | 35}\$ | | 32}\$ | | 27}\$ | | | | $]{.m | | \$]{. | | \$]{. | | \$]{. | | | | ath | | math | | math | | math | | | |.disp | |.disp | |.disp | |.disp | | | | lay}\ | | lay}\ | | lay}\ | | lay}\ | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 17 | إذا | | | | | | | | | | كان | | | | | | | | | | [*A*, | | | | | | | | | |  *B*  | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | حادثت | | | | | | | | | | ين | | | | | | | | | | في | | | | | | | | | | فضاء | | | | | | | | | | العين | | | | | | | | | | ة | | | | | | | | | | لتجرب | | | | | | | | | | ة | | | | | | | | | | عشوائ | | | | | | | | | | ية | | | | | | | | | | ما | | | | | | | | | | [*P*( | | | | | | | | | | *A*∩* | | | | | | | | | | B*) = | | | | | | | | | |  0.2] | | | | | | | | | | {.mat | | | | | | | | | | h | | | | | | | | | |.inli | | | | | | | | | | ne}, | | | | | | | | | | [*P*( | | | | | | | | | | *A*)  | | | | | | | | | | = 0.5 | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne}, | | | | | | | | | | [*P*( | | | | | | | | | | *B*)  | | | | | | | | | | = 0.7 | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | فما | | | | | | | | | | قيمة | | | | | | | | | | [*P*( | | | | | | | | | | *B**s*]{.math.display}\ [ − 80 *ft**s*]{.math.display}\ [64*ft** | | | | | | | | | | A*)]{ | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | [\$\\ | **b** | [\$\\ | **c** | [\$\\ | **d** | [\$\\ | | | | frac{ | | frac{ | | frac{ | | frac{ | | | | 2}{7} | | 2}{5} | | 5}{7} | | 1}{7} | | | | \$]{. | | \$]{. | | \$]{. | | \$]{. | | | | math | | math | | math | | math | | | |.inli | |.inli | |.inli | |.inli | | | | ne} | | ne} | | ne} | | ne} | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **12* | من | | | | | | | | | * | الشرو | | | | | | | | | | ط | | | | | | | | | | التي | | | | | | | | | | يجب | | | | | | | | | | أن | | | | | | | | | | يحققه | | | | | | | | | | ا | | | | | | | | | | التوز | | | | | | | | | | يع | | | | | | | | | | الاحت | | | | | | | | | | مالي | | | | | | | | | | \.... | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | | **b** | | **c** | | **d** | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **13* | في | | | | | | | | | * | تجربة | | | | | | | | | | ذات | | | | | | | | | | الحدي | | | | | | | | | | ن | | | | | | | | | | إذا | | | | | | | | | | كان | | | | | | | | | | احتما | | | | | | | | | | ل | | | | | | | | | | النجا | | | | | | | | | | ح | | | | | | | | | | p | | | | | | | | | | يساوي | | | | | | | | | | 0.78 | | | | | | | | | | فإن | | | | | | | | | | احتما | | | | | | | | | | ل | | | | | | | | | | الفشل | | | | | | | | | | q | | | | | | | | | | يساوي | | | | | | | | | | \...\ | | | | | | | | | |.... | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | *0.22 | **b** | 0.32 | **c** | 0.30 | **d** | 0.15 | | | | * | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **14* | **من | | | | | | | | | * | الشكل | | | | | | | | | | المقا | | | | | | | | | | بل** | | | | | | | | | | [\$\\ | | | | | | | | | | under | | | | | | | | | | set{\ | | | | | | | | | | \math | | | | | | | | | | bf{w | | | | | | | | | | \\rig | | | | | | | | | | htarr | | | | | | | | | | ow | | | | | | | | | | \\inf | | | | | | | | | | ty}}{ | | | | | | | | | | \\mat | | | | | | | | | | hbf{\ | | | | | | | | | | \lim} | | | | | | | | | | }\\ma | | | | | | | | | | thbf{ | | | | | | | | | | f(w)} | | | | | | | | | | \$]{. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **تسا | | | | | | | | | | وي** | | | | | | | | | |  | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | [**∞* | **b** | [ **− | **c** | **0** | **d** | **غير | | | | *]{.m | | ** ** | | | | موجود | | | | ath | | ∞**]{ | | | | ة** | | | |.inli | |.math | | | | | | | | ne} | |.inli | | | | | | | | | | ne} | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **15* | **مشت | | | | | | | | | * | قة | | | | | | | | | | الدال | | | | | | | | | | ة** | | | | | | | | | | [**f* | | | | | | | | | | *(**x | | | | | | | | | | **)** | | | | | | | | | | =5x** | | | | | | | | | | ^**3* | | | | | | | | | | *^**+ | | | | | | | | | | 4**]{ | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | [**5* | **b** | [**4x | **c** | [**15 | **d** | [**15 | | | | *]{.m | | **^** | | x**^* | | x**]{ | | | | ath | | 2**^] | | *2**^ | |.math | | | |.inli | | {.mat | | ]{.ma | |.inli | | | | ne} | | h | | th | | ne} | | | | | |.inli | |.inli | | | | | | | | ne} | | ne} | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **16* | **حسا | | | | | | | | | * | ب | | | | | | | | | | التكا | | | | | | | | | | مل | | | | | | | | | | للدال | | | | | | | | | | ة** | | | | | | | | | | [∫(** | | | | | | | | | | 9x−x* | | | | | | | | | | *^**3 | | | | | | | | | | **^)d | | | | | | | | | | x]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **يسا | | | | | | | | | | وي** | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | [\$\\ | **b** | [\$\\ | **c** | [\$\\ | **d** | [\$\\ | | | | frac{ | | frac{ | | frac{ | | frac{ | | | | \\mat | | \\mat | | \\mat | | \\mat | | | | hbf{4 | | hbf{4 | | hbf{9 | | hbf{1 | | | | }}{\\ | | }}{\\ | | }}{\\ | | }}{\\ | | | | mathb | | mathb | | mathb | | mathb | | | | f{5}} | | f{7}} | | f{2}} | | f{2}} | | | | \\mat | | \\mat | | \\mat | | \\mat | | | | hbf{x | | hbf{x | | hbf{x | | hbf{x | | | | }\^{\ | | }\^{\ | | }\^{\ | | }\^{\ | | | | \math | | \math | | \math | | \math | | | | bf{2} | | bf{3} | | bf{2} | | bf{5} | | | | }\\ma | | }\\ma | | }\\ma | | }\\ma | | | | thbf{ | | thbf{ | | thbf{ | | thbf{ | | | | -}\\m | | -}\\m | | \\ | | -}\\m | | | | athbf | | athbf | | }\\ma | | athbf | | | | {1}\$ | | {x}\\ | | thbf{ | | {c}\$ | | | | ]{.ma | | mathb | | -}\\f | | ]{.ma | | | | th | | f{+}\ | | rac{\ | | th | | | |.inli | | \math | | \math | |.inli | | | | ne} | | bf{c} | | bf{x} | | ne} | | | | | | \$]{. | | \^{\\ | | | | | | | | math | | mathb | | | | | | | |.inli | | f{4}} | | | | | | | | ne} | | }{\\m | | | | | | | | | | athbf | | | | | | | | | | {4}}\ | | | | | | | | | | \math | | | | | | | | | | bf{+} | | | | | | | | | | \\mat | | | | | | | | | | hbf{c | | | | | | | | | | }\$]{ | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **17* | [\$\\ | | | | | | | | | * | under | | | | | | | | | | set{\ | | | | | | | | | | \math | | | | | | | | | | bf{x | | | | | | | | | | \\rig | | | | | | | | | | htarr | | | | | | | | | | ow | | | | | | | | | | 5}}{\ | | | | | | | | | | \math | | | | | | | | | | bf{\\ | | | | | | | | | | lim}} | | | | | | | | | | \\lef | | | | | | | | | | t( | | | | | | | | | | \\mat | | | | | | | | | | hbf{4 | | | | | | | | | | }\\ma | | | | | | | | | | thbf{ | | | | | | | | | | x | | | | | | | | | | - 10} | | | | | | | | | | \\rig | | | | | | | | | | ht)\$ | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **تسا | | | | | | | | | | وي** | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | **5** | **b** | [**10 | **c** | [**20 | **d** | [ **− | | | | | | **]{. | | **]{. | | ** ** | | | | | | math | | math | | 10**] | | | | | |.inli | |.inli | | {.mat | | | | | | ne} | | ne} | | h | | | | | | | | | |.inli | | | | | | | | | | ne} | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **18* | **الت | | | | | | | | | * | كامل* | | | | | | | | | | * | | | | | | | | | | [∫**4 | | | | | | | | | | x**^* | | | | | | | | | | *3**^ | | | | | | | | | | dx]{. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **يسا | | | | | | | | | | وي** | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | [**12 | **b** | [**x* | **c** | [**x* | **d** | [**4x | | | | x**^* | | *^**2 | | *^**4 | | **^** | | | | *2**^ | | **^ * | | **^ * | | 4**^  | | | |  **+* | | *+**  | | *+**  | | **+** | | | | * **c | | **c** | | **c** | |  **c* | | | | **]{. | | ]{.ma | | ]{.ma | | *]{.m | | | | math | | th | | th | | ath | | | |.inli | |.inli | |.inli | |.inli | | | | ne} | | ne} | | ne} | | ne} | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **19* | **يحت | | | | | | | | | * | وي | | | | | | | | | | كيس | | | | | | | | | | على** | | | | | | | | | | [**35 | | | | | | | | | | ** ]{ | | | | | | | | | |.math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **كرة | | | | | | | | | | منها* | | | | | | | | | | * | | | | | | | | | | [**5* | | | | | | | | | | *]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **كرا | | | | | | | | | | ت | | | | | | | | | | خضراء | | | | | | | | | | و** | | | | | | | | | | [**8* | | | | | | | | | | *]{.m | | | | | | | | | | ath | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **كرا | | | | | | | | | | ت | | | | | | | | | | زرقاء | | | | | | | | | | إذا | | | | | | | | | | سحبت | | | | | | | | | | منه | | | | | | | | | | كرة | | | | | | | | | | واحدة | | | | | | | | | | عشوائ | | | | | | | | | | يا | | | | | | | | | | فما | | | | | | | | | | احتما | | | | | | | | | | ل | | | | | | | | | | ان | | | | | | | | | | تكون | | | | | | | | | | خضراء | | | | | | | | | | إذا | | | | | | | | | | علم | | | | | | | | | | انها | | | | | | | | | | ليست | | | | | | | | | | زرقاء | | | | | | | | | | ؟** | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **a** | [\$\\ | **b** | [\$\\ | **c** | [\$\\ | **d** | [\$\\ | | | | frac{ | | frac{ | | frac{ | | frac{ | | | | \\mat | | \\mat | | \\mat | | \\mat | | | | hbf{1 | | hbf{8 | | hbf{5 | | hbf{8 | | | | }}{\\ | | }}{\\ | | }}{\\ | | }}{\\ | | | | mathb | | mathb | | mathb | | mathb | | | | f{7}} | | f{35} | | f{27} | | f{27} | | | | \$]{. | | }\$]{ | | }\$]{ | | }\$]{ | | | | math | |.math | |.math | |.math | | | |.inli | |.inli | |.inli | |.inli | | | | ne} | | ne} | | ne} | | ne} | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | **20* | **الد | | | | | | | | | * | الة | | | | | | | | | | الأصل | | | | | | | | | | ية | | | | | | | | | | للدال | | | | | | | | | | ة** | | | | | | | | | | [**f* | | | | | | | | | | *(**x | | | | | | | | | | **)** | | | | | | | | | | =4x** | | | | | | | | | | ^**7* | | | | | | | | | | *^]{. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | **تكت | | | | | | | | | | ب | | | | | | | | | | كالتا | | | | | | | | | | لي** | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | | **A** | [\$\\ | **b** | [\$\\ | **c** | [**4x | **d** | [**x* | | | | frac{ | | frac{ | | **^** | | *^**2 | | | | \\mat | | \\mat | | 6**^] | | **^** | | | | hbf{3 | | hbf{1 | | {.mat | | +c**] | | | | }}{\\ | | }}{\\ | | h | | {.mat | | | | mathb | | mathb | |.inli | | h | | | | f{4}} | | f{2}} | | ne} | |.inli | | | | \\mat | | \\mat | | | | ne} | | | | hbf{x | | hbf{x | | | | | | | | }\^{\ | | }\^{\ | | | | | | | | \math | | \math | | | | | | | | bf{5} | | bf{8} | | | | | | | | }\$]{ | | }\\ma | | | | | | | |.math | | thbf{ | | | | | | | |.inli | | +}\\m | | | | | | | | ne} | | athbf | | | | | | | | | | {c}\$ | | | | | | | | | | ]{.ma | | | | | | | | | | th | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ +-----------------------+-----------------------+-----------------------+ | **السؤال الثاني:** | 10درجات | | | | | | | **(Aضع علامة ( √ ) | | | | أمام العبارة الصحيحة | | | | و علامة (⨯) أمام | | | | العبارة الخطأ فيما | | | | يلي:** | | | +=======================+=======================+=======================+ | | **نصف لكل سؤال** | | +-----------------------+-----------------------+-----------------------+ | **1** | **من الإحداثيات | | | | القطبية التي تمثل | | | | النقطة** [\$\\left( | | | | \\mathbf{1\\ | | | | ,}\\mathbf{-}\\sqrt{\ | | | | \mathbf{3}} | | | | \\right)\$]{.math | | | |.inline} **هي** | | | | [\$\\left( | | | | \\mathbf{3,}\\mathbf{ | | | | -}\\frac{\\mathbf{\\p | | | | i}}{\\mathbf{6}} | | | | \\right)\\mathbf{\\ | | | | }\$]{.math.inline} | | +-----------------------+-----------------------+-----------------------+ | **2** | **الإحداثيات | | | | الديكارتية للنقطة** | | | | [(**−6,−120**^^**∘**^ | | | | ^)]{.math | | | |.inline} **هي** | | | | [\$\\left( | | | | \\mathbf{3,}\\mathbf{ | | | | 3}\\sqrt{\\mathbf{3}} | | | | \\right)\$]{.math | | | |.inline} **.** | | +-----------------------+-----------------------+-----------------------+ | **3** | تكتب المعادلة | | | | [*r* = 7]{.math | | | |.inline} بالصورة | | | | الديكارتية | | | | [ *x* + *y* = 7]{.mat | | | | h | | | |.inline} | | +-----------------------+-----------------------+-----------------------+ | **4** | من نظرية ديموافر | | | | [*z*^*n*^ = *r*^*n*^( | | | | cosnθ+*i*sinnθ) ]{.ma | | | | th | | | |.inline} **.** | | +-----------------------+-----------------------+-----------------------+ | **5** | *الصورة القطبية للعدد | | | | المركب* | | | | [9 + 7*i*  ]{.math | | | |.inline} *هي 11.4* | | | | [(cos0.66+*i*sin0.66) | | | | ]{.math | | | |.inline} **.** | | +-----------------------+-----------------------+-----------------------+ | **6** | **في نظام الاحداثيات | | | | القطبية النقطة** | | | | [(**5,240**) ]{.math | | | |.inline} **تكافيء | | | | النقطة** | | | | [(**5,−120**)]{.math | | | |.inline} | | +-----------------------+-----------------------+-----------------------+ | **7** | **من خصائص التوزيع | | | | الطبيعي أن له منحنى | | | | يشبه الجرس ويتساوى | | | | فيه المتوسط والوسيط | | | | والمنوال والمنحنى | | | | متصل** | | +-----------------------+-----------------------+-----------------------+ | **8** | *يعتبر الوسط و الوسيط | | | | و المنوال من مقايس | | | | التشتت* **.** | | +-----------------------+-----------------------+-----------------------+ | **9** | **الاستفسار من طلاب | | | | متميزين في مادة | | | | الرياضيات عن افضل | | | | المواد اليهم تعتبر | | | | درسة منحازة** | | +-----------------------+-----------------------+-----------------------+ | **10** | **ما هى مادتك المفضلة | | | | ؟ يعتبر سؤال متحيز** | | +-----------------------+-----------------------+-----------------------+ | **11** | **\"عندما امارس | | | | الرياضة اكون في وضع | | | | نفسي أفضل \" تظهر هذه | | | | العبارة ارتباطاً** | | +-----------------------+-----------------------+-----------------------+ | **12** | **من الشكل تكون** | | | | [\$\\underset{\\mathb | | | | f{x}\\mathbf{\\righta | | | | rrow}\\mathbf{5}}{\\m | | | | athbf{\\lim}}{\\mathb | | | | f{f}\\mathbf{(}\\math | | | | bf{x}\\mathbf{)}}\$]{ | | | |.math | | | |.inline} **غير | | | | موجودة** | | +-----------------------+-----------------------+-----------------------+ | **13** | **السرعة المتوسطة | | | | المتجهة للجسم في | | | | الفترة الزمنية من a | | | | إلى b** | | | | | | | | **تعطى بالصيغة** | | +-----------------------+-----------------------+-----------------------+ | **14** | [∫~**2**~^**4**^**x** | | | | ^**3**^dx**=60**]{.ma | | | | th | | | |.inline} | | +-----------------------+-----------------------+-----------------------+ | **15** | من الدوال الأصلية | | | | للدالة هي | | +-----------------------+-----------------------+-----------------------+ **B) انقل الرقم المناسب من العمود (A) بما يناسبه من العمود ( B) فيما يلي:** **الرقم** **العمود (A)** **الاجابة** **العمود (B)** ----------- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ------------- ------- ---------------------------------------------------- **16** **اذا كان** [**p**]{.math.inline} **احتمال النجاح و** [**q**]{.math.inline} **احتمال الفشل في توزيع ذات الحدين فان الانحراف المعياري للتوزيع يعطى بالصيغة** [**σ=...**]{.math.inline} **A** **التكامل المحدد** **17** **تسمى نقطة الأصل في نظام الاحداثيات القطبية** **B** **التوزيع الطبيعيي** **18** **تستعمل الدراسات المسحية في** **C** **جمع البيانات** **19** **في \...\...\...\... يتساوى الوسط والوسيط والمنوال وتقع في المركز** **D** **القطب** **20** **يمكن إيجاد مساحة المنطقة المحصورة بين منحنى الدالة المحور** [**x**]{.math.inline} **بأستعمال** **E** [\$\\sqrt{\\mathbf{\\text{npq}}}\$]{.math.inline} +-----------------------+-----------------------+-----------------------+ | **السؤال الثالث / أجب | **10 درجات** | | | عن المطلوب:** | | | +=======================+=======================+=======================+ | | | | +-----------------------+-----------------------+-----------------------+ | **(1حول الإحداثيات | الاحداثيات الديكارتية | الاحداثيات القطبية | | القطبية إلى | | | | ديكارتيه**[\$\\mathbf | | | | {S}\\mathbf{(}\\mathb | | | | f{5}\\mathbf{,}\\frac | | | | {\\mathbf{\\pi}}{\\ma | | | | thbf{3}}\\mathbf{)\\ | | | | \\ \\ }\$]{.math | | | |.inline} | | | | | | | | **إذا علمت أن** | | | | | | | | [\$\\mathbf{\\cos}\\f | | | | rac{\\mathbf{\\pi}}{\ | | | | \mathbf{3}}\\mathbf{= | | | | }\\frac{\\mathbf{1}}{ | | | | \\mathbf{2}}\\mathbf{ | | | | \\ | | | | \\ \\ \\ \\ \\ \\ \\ | | | | \\ \\ \\ \\ \\ \\ \\ | | | | \\ \\ \\ \\ \\ \\ \\ | | | | \\ sin | | | | =}\\frac{\\mathbf{\\p | | | | i}}{\\mathbf{3}}\\mat | | | | hbf{=}\\frac{\\sqrt{\ | | | | \mathbf{3}}}{\\mathbf | | | | {2}}\$]{.math | | | |.inline} | | | +-----------------------+-----------------------+-----------------------+ | | **أي أن الإحداثيات | | | | الديكارتية للنقطة S | | | | هي** | | +-----------------------+-----------------------+-----------------------+ | **2)** في تجربة ذات | | | | حدين إذا كان | | | | [*n* = **5** **,** ** | | | | p=** **0.35** **,**   | | | | **q** **=** **0.65**] | | | | {.math | | | |.inline}. فاوجد | | | | المتوسط والتباين | | | | والإنحراف المعياري. | | | +-----------------------+-----------------------+-----------------------+ | **3) أوجد مشتقة | **الحل:** | | | الدالة** | | | | [ **f**(**x**) **=**  | | | | **5x**^**3**^ **+** * | | | | *4**]{.math | | | |.inline} | | | +-----------------------+-----------------------+-----------------------+ +-----------+-----------+-----------+-----------+-----------+-----------+ | **المملكة |  | | | | | | * | | | | | | | | | | | | | | **وزارة | | | | | | | التعليم** | | | | | | | | | | | | | | **إدارة | | | | | | | التعليم | | | | | | | \...\...\ | | | | | | |...** | | | | | | | | | | | | | | **ثانوية | | | | | | | \...\...\ | | | | | | |.....** 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المصحح | المراجع | المدقق | | | رقما | كتابة | | | | +-----------+-----------+-----------+-----------+-----------+-----------+ | الأول | 10 | فقط | | | | +-----------+-----------+-----------+-----------+-----------+-----------+ | الثاني | 20 | فقط | | | | +-----------+-----------+-----------+-----------+-----------+-----------+ | الثالث | 10 | فقط | | | | +-----------+-----------+-----------+-----------+-----------+-----------+ | المجموع | | فقط | | | | | رقما | | | | | | +-----------+-----------+-----------+-----------+-----------+-----------+ | | | | | | | +-----------+-----------+-----------+-----------+-----------+-----------+ +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | السؤا | | | | | | | | | | ل | | | | | | | | | | الأول | | | | | | | | | | : | | | | | | | | | | **اخت | | | | | | | | | | ر | | | | | | | | | | للعمو | | | | | | | | | | د | | | | | | | | | | B رقم | | | | | | | | | | الإجا | | | | | | | | | | بة | | | | | | | | | | المنا | | | | | | | | | | سبة | | | | | | | | | | من | | | | | | | | | | العمو | | | | | | | | | | د | | | | | | | | | | A** | | | | | | | | | +=======+=======+=======+=======+=======+=======+=======+=======+=======+ | م | العمو | الرقم | العمو | | | | | | | | د | المنا | د | | | | | | | | A | سب | B | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 1 | \ | | 26 | | | | | | | | [\$\$ | | | | | | | | | | \\lim | | | | | | | | | | \_{x | | | | | | | | | | \\rig | | | | | | | | | | htarr | | | | | | | | | | ow | | | | | | | | | | \\ | | | | | | | | | | \\inf | | | | | | | | | | ty}\\ | | | | | | | | | | frac{ | | | | | | | | | | \\ | | | | | | | | | | 7x\^{ | | | | | | | | | | 3} | | | | | | | | | | - | | | | | | | | | | 6x\^{ | | | | | | | | | | 2} | | | | | | | | | | + 1\\ | | | | | | | | | | }{\\ | | | | | | | | | | \\ | | | | | | | | | | 2x\^{ | | | | | | | | | | 3} | | | | | | | | | | + 4x} | | | | | | | | | | =\$\$ | | | | | | | | | | ]{.ma | | | | | | | | | | th 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| | | | | بأن | | | | | | | | | | العدد | | | | | | | | | | الظاه | | | | | | | | | | ر | | | | | | | | | | أقل | | | | | | | | | | من 6 | | | | | | | | +-------+-------+-------+-------+-------+-------+-------+-------+-------+ | 4 | يحتوي | | 1 | | | | | | | | صندوق | | | | | | | | | | {. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | كرات | | | | | | | | | | حمراء | | | | | | | | | | و | | | | | | | | | | {. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | كرات | | | | | | | | | | صفراء | | | | | | | | | | و | | | | | | | | | | {. | | | | | | | | | | math | | | | | | | | | |.inli | | | | | | | | | | ne} | | | | | | | | | | كرات | | | | | | | | | | خضراء | | | | | | | | | | و | | | | | | | | | | كرتين | | | | | | | | | | زرقاو |