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‫سلطنة‬‫عمان‬
‫وزارة‬‫التربية‬‫و‬‫التعليم‬
‫إدارة‬‫التربية‬‫و‬‫التعليم‬‫بالمنطقة‬‫الوسطى‬
‫مدرسة‬‫ريما‬‫للتعليم‬‫الساسي‬)1...
= –1‫؟‬
– ( ‫أ‬3– ( ‫ب‬2
( ‫ء‬ ( ‫ج‬2
)2: ‫بالنقطتين‬ ‫يمر‬ ‫الذي‬ ‫المستقيم‬ ‫تمثل‬ ‫التي‬ ‫المعادلة‬ ‫ما‬ (
- )3،0) ، (0...
)9= ‫ص‬ ‫المستقيم‬ ‫في‬ (25+ ‫س‬2: ‫يساوي‬ ‫الميل‬
(‫أ‬27(‫ب‬2
(‫ج‬25( ‫د‬23
)10‫الرأسي‬ ‫التغير‬ : ‫الفقي‬ ‫التغير‬ ‫نسبة...
‫ب‬ (‫ء‬ (‫ج‬
)17- ‫ميله‬ ‫الذي‬ ‫المستقيم‬ (2: ‫يساوي‬ ‫له‬ ‫الموازي‬ ‫المستقيم‬ ‫ميل‬ ‫يكون‬
– ( ‫أ‬2( ‫ب‬
( ‫ء‬ ( ‫ج‬2
...
= ‫س‬ ( ‫أ‬3= ‫ص‬ ( ‫ب‬3
- = ‫س‬ ( ‫ج‬3- = ‫ص‬ ( ‫ء‬3
)25) ‫النقطة‬ ‫بعد‬ (1،1+ ‫س‬ ‫المستقيم‬ ‫عن‬ (2+ ‫ص‬1=0: ‫يساوي‬
( ...
- = ‫ص‬ ( ‫ج‬2+ ‫س‬6- = ‫ص‬ ( ‫ء‬2+ ‫س‬7
)32= ‫ص‬ : ‫الخط‬ ‫على‬ ‫المتعامد‬ ‫الخط‬ ‫تمثل‬ ‫التالية‬ ‫المعادلت‬ ‫أي‬ (4– ‫س...
..............................................................................................
)4) ‫أ‬ ‫كان‬ ‫ذا‬ ‫إ‬ (2،3...
.............................................................................................................................
.............................................................................................................................
)15) ‫أ‬ ‫كانت‬ ‫إذا‬ (5،3) ‫ب‬ ، (2،1) ‫ج‬ ، (4- ،3( ‫ص‬ ، ‫س‬ ) ‫ء‬ ، (
.‫ص‬ ، ‫س‬ ‫فأوجد‬ ‫ء‬ ‫ج‬ ‫ب‬ ‫أ‬ ‫اللضل ع‬ ‫مت...
.............................................................................................................................
* ‫الثانية‬ ‫الوحدة‬ ‫أسئلة‬ ‫انتهت‬ *
‫أسئلة‬‫التنمية‬‫المعرفية‬‫في‬‫مادة‬
‫الرياضيات‬‫للصف‬‫العاشر‬
‫الوحدة‬‫الثالثة‬
‫ا...
)2‫للقيم‬ ‫الندنى‬ ‫الربيع‬ (12،8،6،15،10‫هو‬
(‫أ‬6(‫ب‬8
(‫ج‬10(‫ند‬15
)3‫العدند‬ ‫كان‬ ‫إذا‬ (8‫للقيم‬ ‫المنوال‬ ‫هو‬10،8...
)10‫ندرجات‬ ‫علي‬ ‫ص‬ ‫الفيزياء‬ ‫لدرجات‬ ‫النحدار‬ ‫خط‬ ‫معاندلة‬ ‫كانت‬ ‫إذا‬ (
+ ‫س‬ = ‫ص‬ ‫هي‬ ‫س‬ ‫الرياضيات‬40‫الطال...
.............................................................................................................................
........................................................................................................
)7..................
)11‫بمدرسة‬ ” ‫العلوم‬ ‫ماندة‬ ” ‫الخامس‬ ‫الصف‬ ‫طالبات‬ ‫ندرجات‬ ‫رصد‬ ‫تم‬ (
: ‫يلي‬ ‫كما‬ ‫فكانت‬ ‫الساسي‬ ‫للتعليم‬ ‫...
: ‫كالتي‬
9،12،20،9،11،8،10،7،13‫العظمى‬ ‫العلمة‬ )20. (
. ‫الربيعي‬ ‫المدى‬ ‫احسب‬ ‫ثم‬ ‫العلى‬ ‫الربيع‬ ‫و‬ ‫الندنى‬ ‫ال...
‫الوحدة‬‫الرابعة‬
‫العداد‬‫الحقيقية‬‫والمصفوفات‬
)1: ‫المربعة‬ ‫للمصفوفة‬ ‫الضربي‬ ‫المحايد‬ ‫يسمى‬ ‫التالية‬ ‫المصفوفات‬ ...
)7= (
( ‫أ‬2( ‫ب‬3
( ‫ج‬9( ‫ء‬6
)8‫هو‬ + ‫العدند‬ ‫مرافق‬ (
‫ــ‬ ( ‫ب‬ + ( ‫أ‬
‫ــ‬ ( ‫ء‬ + ( ‫ج‬
)9.......... (
> (‫ب‬ < ...
)13= ‫المعاندلة‬ ‫حل‬ ‫مجموعة‬ (4
{ (‫أ‬8{ (‫ب‬ }16}
{ (‫ج‬64{ (‫ند‬ }4}
)14‫جمع‬ ‫ناتج‬ (5+6‫ــ‬2‫ــ‬3
(‫أ‬11‫ــ‬4(‫ب‬2+4...
.............................................................................................................................
5- ‫س‬2‫ص‬
+ ‫س‬4‫ص‬
........................................................................................................
)11‫كان‬ ‫إذا‬ ‫ص‬ ، ‫س‬ ‫من‬ ‫كل‬ ‫قيم‬ ‫(أوجد‬
5‫ــ‬ ‫س‬2‫ص‬1
=
+ ‫س‬4‫ص‬5
................................................
2+ ‫س‬5≥ ‫ص‬20
..............................................................................................................
‫أسئلة‬‫التنمية‬‫المعرفية‬‫في‬‫مادة‬
‫الرياضيات‬‫للصف‬‫العاشر‬
‫الوحدة‬‫الخامسة‬
‫الحدوديات‬‫والدوال‬‫الجبرية‬
)1‫س‬ ‫قسمة...
)8=(‫د)س‬ ‫كان‬ ‫إذا‬ (2+ ‫س‬3=(‫)س‬ ‫هـ‬ ،3+ ‫س‬2‫)هـ‬ ‫فإن‬o= (‫)س‬ (‫د‬
(‫أ‬6+ ‫س‬5(‫ب‬6+ ‫س‬7
(‫ج‬6+ ‫س‬9(‫د‬6+ ‫س‬11
...
‫س‬ = ( ‫س‬ ) ‫د‬ (‫أ‬2
+2‫س‬ = ( ‫س‬ ) ‫د‬ (‫ب‬2
‫ــ‬2
+ ‫س‬ ) = ( ‫س‬ ) ‫د‬ (‫ج‬2(2
‫ــ‬ ‫س‬ = ( ‫س‬ ) ‫د‬ (‫د‬2
)15= ( ...
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
كراس نشاط عاشر رياضيات ريما
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كراس نشاط عاشر رياضيات ريما

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كراس نشاط عاشر رياضيات ريما

  1. 1. ‫سلطنة‬‫عمان‬ ‫وزارة‬‫التربية‬‫و‬‫التعليم‬ ‫إدارة‬‫التربية‬‫و‬‫التعليم‬‫بالمنطقة‬‫الوسطى‬ ‫مدرسة‬‫ريما‬‫للتعليم‬‫الساسي‬)1-12( ‫بنك‬‫أسئلة‬‫مادة‬‫الرياضيات‬ ‫للصف‬‫العاشر‬ ‫إعداد‬ ‫الستاذ‬/‫إيــهــــــــــاب‬‫تــــــــــــامــــر‬ ‫عبــــــــــــاس‬ ‫معلــــــــــــم‬‫ريــــــــــــــاضيــــــــات‬ ‫أسئلة‬‫التنمية‬‫المعرفية‬‫في‬‫مادة‬ ‫الرياضيات‬‫للصف‬‫العاشر‬ ‫الوحدة‬‫الثانية‬ ‫الهندسة‬‫التحليلية‬‫والمجسمات‬ )1‫معادلته‬ ‫الذي‬ ‫للخط‬ ‫الصادي‬ ‫المقطع‬ ‫ما‬ (
  2. 2. = –1‫؟‬ – ( ‫أ‬3– ( ‫ب‬2 ( ‫ء‬ ( ‫ج‬2 )2: ‫بالنقطتين‬ ‫يمر‬ ‫الذي‬ ‫المستقيم‬ ‫تمثل‬ ‫التي‬ ‫المعادلة‬ ‫ما‬ ( - )3،0) ، (0- ،4‫؟‬ ( ( ‫أ‬3– ‫ص‬4- = ‫س‬12( ‫ب‬4+ ‫ص‬3- = ‫س‬16 ( ‫ج‬3+ ‫ص‬4- = ‫س‬12( ‫ء‬3+ ‫ص‬4- = ‫س‬9 )3) ‫النقطة‬ ‫عبر‬ ‫يمر‬ ‫الذي‬ ‫الخط‬ ‫معادلة‬ (2- ،5‫معادلته‬ ‫خط‬ ‫على‬ ‫متعامدا‬ ‫و‬ ( 2– ‫س‬5= ‫ص‬10: ‫هي‬ ( ‫أ‬5- =‫س‬2( ‫ب‬ ‫ص‬5= ‫س‬2‫ص‬ ( ‫ج‬5+ ‫س‬2= ‫ص‬20( ‫ء‬5+ ‫س‬2- = ‫ص‬20 )4‫بزاوية‬ ‫الموجب‬ ‫السينات‬ ‫محور‬ ‫مستقيم‬ ‫قطع‬ ‫إذا‬ (60‫هذا‬ ‫ميل‬ ‫فإن‬ ‫درجة‬ : ‫يساوي‬ ‫المستقيم‬ ( ‫ب‬ ÷ ( ‫أ‬1÷ ( ‫ء‬ ( ‫ج‬ )5‫؟‬ ‫راسيا‬ ‫خطا‬ ‫التالية‬ ‫الخطوط‬ ‫أي‬ ( - = ‫ص‬ ( ‫أ‬5+ ‫س‬ = ‫ص‬ ( ‫ب‬3 - = ‫ص‬ ( ‫ج‬3+ ‫س‬1( ‫ء‬2– ‫س‬2‫ص‬ = )6‫ميله‬ ‫الذي‬ ‫المستقيم‬ ‫معادلة‬ (3‫الصادات‬ ‫لمحور‬ ‫الموجب‬ ‫الجزء‬ ‫من‬ ‫يقطع‬ ‫و‬ ‫طوله‬ ‫جزءا‬6............. ‫هي‬ ‫وحدات‬ = ‫س‬ ( ‫أ‬6+ ‫ص‬3= ‫س‬ ( ‫ب‬3+ ‫ص‬6 = ‫ص‬ ( ‫ج‬6+ ‫س‬3= ‫ص‬ ( ‫ء‬3+ ‫س‬6 )7) ‫النقطة‬ ‫بعد‬ (2،1+ ‫س‬ ‫المستقيم‬ ‫عن‬ (3– ‫ص‬5=0: ‫هو‬ ( ‫أ‬0( ‫ب‬1 ( ‫ج‬2( ‫ء‬3 )8‫بنفس‬ ‫يشتركان‬ ‫عندما‬ ‫السطوانة‬ ‫حجم‬ ‫إلى‬ ‫المخروط‬ ‫حجم‬ ‫نسبة‬ ‫ما‬ ( ‫؟‬ ‫القاعدة‬ ( ‫أ‬3:1( ‫ب‬1:3 ( ‫ج‬1:1( ‫ء‬2:1 2
  3. 3. )9= ‫ص‬ ‫المستقيم‬ ‫في‬ (25+ ‫س‬2: ‫يساوي‬ ‫الميل‬ (‫أ‬27(‫ب‬2 (‫ج‬25( ‫د‬23 )10‫الرأسي‬ ‫التغير‬ : ‫الفقي‬ ‫التغير‬ ‫نسبة‬ ‫كان‬ ‫إذا‬ ( ‫لدرج‬2:3= ‫الدرج‬ ‫ميل‬ ‫فإن‬ (‫أ‬2(‫ب‬3 (‫د‬ (‫ج‬ )11‫المستقيمان‬ ‫كان‬ ‫إذا‬ (2– ‫س‬3= ‫ص‬6– ‫س‬ ‫ب‬ ،2= ‫ص‬5 = ‫ب‬ ‫فأن‬ ‫متعامدان‬ - (‫أ‬3- (‫ب‬2 (‫ج‬3(‫د‬6 )12: ‫المقابل‬ ‫الشكل‬ ‫في‬ ( ‫هي‬ ‫معادلة‬‫ل‬ = - (‫أ‬1= + (‫ب‬1 = + (‫ج‬1(‫د‬2+ ‫س‬3= ‫ص‬1 )13‫م‬ ‫ميلهما‬ ‫مستقيمين‬ ‫تعامد‬ ‫شروط‬ (1‫م‬ ،2: ‫هو‬ ‫م‬ (‫أ‬1‫م‬ =2‫م‬ (‫ب‬1‫م‬ -2=0 ‫م‬ (‫ج‬1‫م‬ +2- =1‫م‬ (‫د‬1‫×م‬2- =1 )14‫م‬ ‫ميلهما‬ ‫مستقيمين‬ ‫توازي‬ ‫شرط‬ (1‫م‬ ،2‫هو‬ ‫م‬ (‫أ‬1‫م‬ +2=0‫م‬ (‫ب‬1‫م‬ -2=0 ‫م‬ (‫ج‬1‫م‬ ×2=1‫م‬ (‫د‬1‫م‬ ×2- =1 )15‫المستقيم‬ ‫كان‬ ‫إذا‬ (2= ‫ص‬ ‫ل‬ + ‫س‬6) ‫بالنقطة‬ ‫يمر‬1،2.... = ‫ل‬ ‫فإن‬ ( (‫أ‬2(‫ب‬3 (‫ج‬5(‫د‬6 )16‫هو‬ ‫ج‬ + ‫س‬ ‫ب‬ = ‫ص‬ ‫أ‬ : ‫المستقيم‬ ‫ميل‬ ( (‫ب‬ ‫ب‬ – (‫أ‬ 3 3 2 ‫س‬ ‫ص‬
  4. 4. ‫ب‬ (‫ء‬ (‫ج‬ )17- ‫ميله‬ ‫الذي‬ ‫المستقيم‬ (2: ‫يساوي‬ ‫له‬ ‫الموازي‬ ‫المستقيم‬ ‫ميل‬ ‫يكون‬ – ( ‫أ‬2( ‫ب‬ ( ‫ء‬ ( ‫ج‬2 )18‫قياسها‬ ‫زاوية‬ ‫يصنع‬ ‫الذي‬ ‫المستقيم‬ ‫ميل‬ (135‫السالب‬ ‫التجاه‬ ‫مع‬ ‫درجة‬ : ‫هو‬ ‫السينات‬ ‫لمحور‬ ( ‫أ‬1- ( ‫ب‬1 ( ‫ج‬0( ‫ء‬45 )19: ‫معادلته‬ ‫الذي‬ ‫المستقيم‬ ‫ميل‬ ( = ‫ص‬5– ‫س‬7: ‫هو‬ – ( ‫أ‬5( ‫ب‬ ( ‫ء‬ ( ‫ج‬5 )20) ‫أ‬ ‫كانت‬ ‫إذا‬ (3،2) ‫ب‬ ، (7،3، ‫ك‬ ) ‫ج‬ ، (4‫على‬ ‫نقاط‬ ‫ثل ث‬ ، ( ‫؟‬ ‫ك‬ ‫قيمة‬ ‫فما‬ . ‫واحدة‬ ‫استقامة‬ ( ‫أ‬4( ‫ب‬7 ( ‫ج‬9( ‫ء‬11 )21– ‫س‬ : ‫هي‬ ‫ل‬ ‫المستقيم‬ ‫معادلة‬ ‫كانت‬ ‫إذا‬ (4+ ‫ص‬5=0 : ‫يساوي‬ ‫ل‬ ‫المستقيم‬ ‫على‬ ‫العمودي‬ ‫المستقيم‬ ‫ميل‬ ‫فإن‬ ( ‫ب‬ ( ‫أ‬ ( ‫ء‬ ( ‫ج‬ )22‫طوله‬ ‫جزءا‬ ‫يقطع‬ ‫و‬ ‫السينات‬ ‫لمحور‬ ‫الموازي‬ ‫المستقيم‬ ‫معادلة‬ (5‫وحدات‬ : ‫هي‬ ‫الصادات‬ ‫لمحور‬ ‫الموجب‬ ‫الجزء‬ ‫من‬ = ‫س‬ ( ‫أ‬5= ‫ص‬ ( ‫ب‬5 - = ‫س‬ ( ‫ج‬5- = ‫ص‬ ( ‫ء‬5 )23= ‫ص‬ ‫المستقيم‬ ‫على‬ ‫العمودي‬ ‫المستقيم‬ ‫ميل‬ (5– ‫س‬2: ‫هو‬ ( ‫أ‬5( ‫ب‬ ‫ــ‬ ( ‫ء‬ ( ‫ج‬5 )24‫طوله‬ ‫جزءا‬ ‫يقطع‬ ‫و‬ ‫السينات‬ ‫لمحور‬ ‫الموازي‬ ‫المستقيم‬ ‫معادلة‬ (3‫وحدات‬ : ‫هي‬ ‫الصادات‬ ‫لمحور‬ ‫السالب‬ ‫الجزء‬ ‫من‬ 4
  5. 5. = ‫س‬ ( ‫أ‬3= ‫ص‬ ( ‫ب‬3 - = ‫س‬ ( ‫ج‬3- = ‫ص‬ ( ‫ء‬3 )25) ‫النقطة‬ ‫بعد‬ (1،1+ ‫س‬ ‫المستقيم‬ ‫عن‬ (2+ ‫ص‬1=0: ‫يساوي‬ ( ‫أ‬2( ‫ب‬ ÷3÷ ( ‫ج‬4( ‫ء‬ ÷5÷ )26‫؟‬ ‫فيها‬ ‫دائرة‬ ‫أكبر‬ ‫مساحة‬ ‫إلى‬ ‫الكرة‬ ‫سطح‬ ‫مساحة‬ ‫نسبة‬ ‫ما‬ ( ( ‫أ‬1:1( ‫ب‬2:1 ( ‫ج‬3:1( ‫ء‬4:1 )27+ ‫س‬ ‫م‬ = ‫ص‬ ‫المستقيم‬ ‫كان‬ ‫إذا‬ (2) ‫بالنقطة‬ ‫يمر‬1،3‫ميله‬ ‫فإن‬ ( : ‫يساوي‬ ( ‫أ‬0( ‫ب‬1 ( ‫ج‬2( ‫ء‬3 )28‫ميله‬ ‫الذي‬ ‫المستقيم‬ ‫معادلة‬ (2‫لمحور‬ ‫الموجب‬ ‫الجزء‬ ‫من‬ ‫يقطع‬ ‫و‬ ‫طوله‬ ‫جزءا‬ ‫الصادات‬5: ‫هي‬ ‫وحدات‬ = ‫ص‬ ( ‫أ‬2– ‫س‬5– ‫ص‬ ( ‫ب‬2= ‫س‬5 – ‫س‬ ( ‫ج‬2= ‫ص‬5- = ‫ص‬ ( ‫ء‬2+ ‫س‬5 )29‫طوله‬ ‫الشكل‬ ‫أسطواني‬ ‫صهريج‬ (5‫عند‬ ‫ينتهي‬ ‫و‬ ‫متران‬ ‫قطره‬ ‫و‬ ‫أمتار‬ ‫هذا‬ ‫سطح‬ ‫مساحة‬ . ‫مترين‬ ‫منهما‬ ‫كل‬ ‫قطر‬ ، ‫كروي‬ ‫نصف‬ ‫بشكل‬ ‫طرفيه‬ : ‫هي‬ ‫الصهريج‬ ( ‫أ‬10‫م‬ ‫ط‬2( ‫ب‬14‫م‬ ‫ط‬2 ( ‫ج‬16‫م‬ ‫ط‬2(‫ء‬18‫م‬ ‫ط‬2 )30‫التوالي‬ ‫على‬ ‫قطرهما‬ ‫طول‬ ‫كرويين‬ ‫مجسمين‬ ‫حجم‬ ‫نسبة‬ (3، ‫سم‬ 6: ‫هي‬ ‫سم‬ ( ‫أ‬1:2( ‫ب‬1:3 ( ‫ج‬1:4( ‫ء‬1:8 )31- ) ‫بالنقطة‬ ‫يمر‬ ‫الذي‬ ‫المستقيم‬ ‫تمثل‬ ‫التالية‬ ‫المعادلت‬ ‫أي‬ (1،4( - ‫مقداره‬ ‫ميل‬ ‫له‬ ‫و‬2‫؟‬ - = ‫ص‬ ( ‫أ‬2– ‫س‬2- = ‫ص‬ ( ‫ب‬2+ ‫س‬2 5
  6. 6. - = ‫ص‬ ( ‫ج‬2+ ‫س‬6- = ‫ص‬ ( ‫ء‬2+ ‫س‬7 )32= ‫ص‬ : ‫الخط‬ ‫على‬ ‫المتعامد‬ ‫الخط‬ ‫تمثل‬ ‫التالية‬ ‫المعادلت‬ ‫أي‬ (4– ‫س‬6 + ‫س‬ = ‫ص‬ ( ‫ب‬ + ‫س‬ = ‫ص‬ ( ‫أ‬2 - = ‫ص‬ ( ‫ج‬4+ ‫س‬6= ‫ص‬ ( ‫ء‬4+ ‫س‬4 )33‫عموديا‬ ‫ب‬ ‫أ‬ ‫المستقيم‬ ‫كان‬ ‫و‬ ‫يساوي‬ ‫ب‬ ‫أ‬ ‫المستقيم‬ ‫ميل‬ ‫أن‬ ‫علم‬ ‫إذا‬ ( : ‫يساوي‬ ‫ء‬ ‫ج‬ ‫المستقيم‬ ‫ميل‬ ‫فإن‬ ‫ء‬ ‫ج‬ ‫المستقيم‬ ‫على‬ ( ‫ب‬ ( ‫أ‬ – ( ‫ء‬ – ( ‫ج‬ )1: ‫التالي‬ ‫المنحنى‬ ‫و‬ ‫المستقيم‬ ‫بين‬ ( ‫وجدت‬ ‫إن‬ ) ‫التقاطع‬ ‫نقاط‬ ‫أوجدي‬ ( ‫س‬ = ‫ص‬2–6+ ‫س‬7 = ‫ص‬12– ‫س‬10 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )2-)‫أ‬ ‫بالنقطتين‬ ‫يمر‬ ‫الذي‬ ‫المستقيم‬ ‫ميل‬ ‫أوجد‬ (4,0)‫ب‬ ,(2,3.( ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. .............................................................................................. )3: ‫المستقيم‬ ‫علي‬ ‫العمودي‬ ‫المستقيم‬ ‫معادلة‬ ‫أوجد‬ ( 2+ ‫س‬5= ‫ص‬1) ‫بالنقطة‬ ‫مارا‬ ‫و‬1- ،1( ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. 6
  7. 7. .............................................................................................. )4) ‫أ‬ ‫كان‬ ‫ذا‬ ‫إ‬ (2،3، ‫ب‬ ) ، (4- ،1‫العمودي‬ ‫المستقيم‬ ‫معادلة‬ ‫فأوجد‬ ( . ‫منتصفه‬ ‫من‬ ‫ب‬ ‫أ‬ ‫المستقيم‬ ‫علي‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. .............................................................................................. )5) ‫أ‬ ‫كانت‬ ‫إذا‬ (1،4) ‫ب‬ ، (6،6) ‫ج‬ ، (2- ،1) ‫ء‬ ، (12،3( : ‫أن‬ ‫اثبت‬ ‫ء‬ ‫ج‬ ‫المستقيم‬ ‫يوازي‬ ‫ب‬ ‫أ‬ ‫المستقيم‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )6‫إلى‬ ‫الساخن‬ ‫بالهواء‬ ‫ملئه‬ ‫عند‬ ‫كروي‬ ‫منطاد‬ ‫قطر‬ ‫ربع‬ ‫يصل‬ (9، ‫أمتار‬ ‫؟‬ ‫العملية‬ ‫هذه‬ ‫لنجاز‬ ‫يلزم‬ ‫الساخن‬ ‫الهواء‬ ‫من‬ ‫مكعبا‬ ‫مترا‬ ‫كم‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )7‫طوله‬ ‫جزءا‬ ‫الصادي‬ ‫المحور‬ ‫من‬ ‫يقطع‬ ‫الذي‬ ‫المستقيم‬ ‫معادلة‬ ‫اكتب‬ ( 6‫طوله‬ ‫جزءا‬ ‫السيني‬ ‫المحور‬ ‫من‬ ‫و‬ ‫وحدات‬8. ‫وحدات‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. 7
  8. 8. ............................................................................................................................................................. .............................................................................................. )8) ‫بالنقطة‬ ‫يمر‬ ‫الذي‬ ‫المستقيم‬ ‫معادلة‬ ‫أوجدي‬ (3- ،2‫يوازي‬ ‫و‬ ( = ‫ص‬ ‫المستقيم‬3- ‫س‬4 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. .............................................................................................. )9) ‫أ‬ ‫كانت‬ ‫إذا‬ (1،2) ) ‫ب‬ ، (2،1- ) ‫ج‬ ، (2،3، ‫س‬ ) ‫ء‬ ، (2( : ‫عندما‬ ‫س‬ ‫قيمة‬ ‫فأوجد‬ ‫ء‬ ‫ج‬ ‫المستقيم‬ ‫يوازي‬ ‫ب‬ ‫أ‬ ‫المستقيم‬ ( ‫أ‬ ‫ء‬ ‫ج‬ ‫المستقيم‬ ‫على‬ ‫عمودي‬ ‫ب‬ ‫أ‬ ‫المستقيم‬ ( ‫ب‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )10) ‫بالنقطة‬ ‫يمر‬ ‫الذي‬ ‫المستقيم‬ ‫معادلة‬ ‫أوجدي‬ (5،4‫المستقيم‬ ‫يعامد‬ ‫و‬ ( 3– ‫س‬4+ ‫ص‬7=0 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )11) ‫أ‬ ‫فيه‬ ‫مثلث‬ ‫ج‬ ‫ب‬ ‫أ‬ (4- ،3) ‫ب‬ ، (2- ،1) ‫ج‬ ، (4،6، ( : ‫أوجد‬ ‫ج‬ ‫ب‬ ‫على‬ ‫عمودي‬ ‫ء‬ ‫أ‬ ‫ج‬ ‫ب‬ ‫المستقيم‬ ‫معادلة‬ ( ‫أ‬ ‫ج‬ ‫ب‬ ‫على‬ ‫أ‬ ‫من‬ ‫النازل‬ ‫العمود‬ ‫طول‬ ( ‫ب‬ ‫ج‬ ‫ب‬ ‫أ‬ ‫المثلث‬ ‫مساحة‬ ( ‫ج‬ 8
  9. 9. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )12: ‫التاليين‬ ‫المنحنى‬ ‫و‬ ‫المستقيم‬ ‫بين‬ ‫وجدت‬ ‫إن‬ ‫التقاطع‬ ‫نقاط‬ ‫أوجد‬ ( ‫س‬ = ‫ص‬2–6+ ‫س‬7 = ‫ص‬12- ‫س‬10 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )13‫قطرها‬ ‫نصف‬ ‫اسطوانة‬ ‫شكل‬ ‫على‬ ‫خزان‬ (3‫ارتفاعها‬ ، ‫م‬8، ‫م‬ . ‫كرة‬ ‫نصف‬ ‫شكل‬ ‫على‬ ‫للخزان‬ ‫العلوي‬ ‫الجزء‬ ‫؟‬ ‫للخزان‬ ‫الخارجي‬ ‫السطح‬ ‫مساحة‬ ‫أحسب‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... )14) ‫أ‬ ‫فيه‬ ‫ج‬ ‫ب‬ ‫أ‬ ‫المثلث‬ (2،4) ‫ب‬ ، (4،1) ‫ج‬ ، (0،1( ‫من‬ ‫الواصل‬ ‫المستقيم‬ ‫أن‬ ‫على‬ ‫برهن‬ ‫ثم‬ ‫الساقين‬ ‫متساوي‬ ‫المثلث‬ ‫أن‬ ‫أثبت‬ ‫عليه‬ ‫عموديا‬ ‫يكون‬ ‫القاعدة‬ ‫منتصف‬ ‫إلى‬ ‫الرأس‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... ............................................................................................................................................................. ............................................................................................................................................... 9
  10. 10. )15) ‫أ‬ ‫كانت‬ ‫إذا‬ (5،3) ‫ب‬ ، (2،1) ‫ج‬ ، (4- ،3( ‫ص‬ ، ‫س‬ ) ‫ء‬ ، ( .‫ص‬ ، ‫س‬ ‫فأوجد‬ ‫ء‬ ‫ج‬ ‫ب‬ ‫أ‬ ‫اللضل ع‬ ‫متوازي‬ ‫رؤوس‬ ‫هي‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... ............................................................................................................................................................. ............................................................................................................................................... )16) ‫هي‬ ‫أ‬ ‫كانت‬ ‫فإذا‬ ‫ب‬ ‫في‬ ‫قائم‬ ‫ج‬ ‫ب‬ ‫أ‬ ‫المثلث‬ (5،4) ‫ج‬ ، (0- ،6( . ‫ج‬ ‫ب‬ ، ‫ب‬ ‫أ‬ ‫معادلة‬ ‫فأوجد‬ = ‫ب‬ ‫أ‬ ‫ميل‬ ‫كان‬ ‫و‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... ............................................................................................................................................................. ............................................................................................................................................... )17‫المستقيمان‬ (3– ‫أ‬ ) – ‫س‬1– ‫ص‬ (12=0، – ‫س‬ ‫أ‬4+ ‫ص‬6=0. ‫أ‬ ‫قيمة‬ ‫أوجد‬ . ‫متوازيان‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... ............................................................................................................................................................. ............................................................................................................................................... )18‫قطرها‬ ‫نصف‬ ‫اسطوانة‬ ‫شكل‬ ‫على‬ ‫خزان‬ (2‫وارتفاعها‬ ، ‫م‬6‫الجزء‬ ، ‫م‬ . ‫كرة‬ ‫نصف‬ ‫شكل‬ ‫على‬ ‫للخزان‬ ‫العلوي‬ ‫للخزان‬ ‫الخارجي‬ ‫السطح‬ ‫مساحة‬ ‫احسب‬ ............................................................................................................................................................. ............................................................................................................................................................. 10
  11. 11. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ................................................................................ )19‫قطرها‬ ‫نصف‬ ‫كرة‬ (5‫و‬0‫م‬ . ‫الكرة‬ ‫هذه‬ ‫حجم‬ ‫احسب‬ ( ‫أ‬ ‫ارتفاعها‬ ‫كان‬ ‫و‬ ، ‫للكرة‬ ‫الحجم‬ ‫نفس‬ ‫لها‬ ‫اسطوانة‬ ‫وجدت‬ ‫إذا‬ ( ‫ب‬5‫و‬0 ‫؟‬ ‫السطوانة‬ ‫قطر‬ ‫نصف‬ ‫طول‬ ‫فما‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ................................................................................ )20‫ميلة‬ ‫الذي‬ ‫المستقيم‬ ‫الخط‬ ‫ارسم‬ (3‫طوله‬ ‫جزء‬ ‫ويقطع‬2‫محور‬ ‫من‬ . ‫السالب‬ ‫الصادات‬ ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ..................................................................................................... 11
  12. 12. * ‫الثانية‬ ‫الوحدة‬ ‫أسئلة‬ ‫انتهت‬ * ‫أسئلة‬‫التنمية‬‫المعرفية‬‫في‬‫مادة‬ ‫الرياضيات‬‫للصف‬‫العاشر‬ ‫الوحدة‬‫الثالثة‬ ‫الحصاء‬ )1‫للعداد‬ ‫الحسابي‬ ‫المتوسط‬ (19،35،22،24،30: (‫أ‬22(‫ب‬30 (‫ج‬26( ‫د‬35 12
  13. 13. )2‫للقيم‬ ‫الندنى‬ ‫الربيع‬ (12،8،6،15،10‫هو‬ (‫أ‬6(‫ب‬8 (‫ج‬10(‫ند‬15 )3‫العدند‬ ‫كان‬ ‫إذا‬ (8‫للقيم‬ ‫المنوال‬ ‫هو‬10،8،6،2= ‫س‬ ‫فإن‬ ‫س‬ (‫أ‬3(‫ب‬4 (‫ج‬5(‫ند‬6 )4‫هو‬ ‫مفرندات‬ ‫لعدة‬ ‫المعياري‬ ‫النحراف‬ ‫كان‬ ‫إذا‬ ( – ‫)ب‬1‫يساوي‬ ‫التباين‬ ‫وكان‬ (16: ‫يساوي‬ ‫ب‬ ‫فإن‬ (‫أ‬4(‫ب‬5 (‫ج‬6(‫ند‬7 )5‫العدند‬ ‫كان‬ ‫إذا‬ (8‫للقيم‬ ‫المنوال‬ ‫هو‬10،8،6،2= ‫س‬ ‫فإن‬ ‫س‬ (‫أ‬3(‫ب‬4 (‫ج‬5(‫ند‬6 )6‫للقيم‬ ‫الحسابي‬ ‫المتوسط‬ ‫كان‬ ‫إذا‬ (12، ‫س‬ ،8،6‫هو‬10 : ‫هي‬ ‫س‬ ‫قيمة‬ ‫فإن‬ (‫أ‬6(‫ب‬8 (‫ج‬14(‫ند‬22 )7‫يساوي‬ ‫القيم‬ ‫من‬ ‫لمجموعة‬ ‫الحسابي‬ ‫المتوسط‬ ‫كان‬ ‫إذا‬ (20، ‫يساوي‬ ‫المعياري‬ ‫النحراف‬5‫؟‬ ‫الحسابي‬ ‫للمتوسط‬ ‫المعيارية‬ ‫الدرجة‬ ‫فما‬ ، ( ‫أ‬20( ‫ب‬10 ( ‫ج‬5( ‫ء‬0 )8‫يساوي‬ ‫السلع‬ ‫من‬ ‫مجموعة‬ ‫لسعار‬ ‫الحسابي‬ ‫المتوسط‬ ‫كان‬ ‫إذا‬ (75، ‫يساوي‬ ‫السلع‬ ‫لمجموعة‬ ‫المعياري‬ ‫النحراف‬ ‫و‬25‫الحقيقية‬ ‫القيمة‬ ‫فما‬ ، ‫المعياري‬ ‫سعرها‬ ‫التي‬ ‫للسلعة‬2‫و‬0: ‫تساوي‬ ( ‫أ‬85( ‫ب‬80 ( ‫ج‬75( ‫ء‬70 )9) ‫للقيم‬ ‫الوسيط‬ (53،32،25،47،61( ( ‫أ‬25( ‫ب‬47 ( ‫ج‬62( ‫ء‬50 13
  14. 14. )10‫ندرجات‬ ‫علي‬ ‫ص‬ ‫الفيزياء‬ ‫لدرجات‬ ‫النحدار‬ ‫خط‬ ‫معاندلة‬ ‫كانت‬ ‫إذا‬ ( + ‫س‬ = ‫ص‬ ‫هي‬ ‫س‬ ‫الرياضيات‬40‫الطالب‬ ‫ندرجة‬ ‫كانت‬ ‫فإذا‬ ،60، ..... ‫هي‬ ‫الفيزياء‬ ‫في‬ ‫الطالب‬ ‫هذا‬ ‫ندرجة‬ ‫فان‬ ( ‫أ‬100( ‫ب‬80 ( ‫ج‬70( ‫ء‬50 )1‫كتلة‬ ‫تمثل‬ ‫ص‬ ، ‫الدقيقة‬ / ‫المتر‬ ‫بوحدة‬ ‫شخص‬ ‫سرعة‬ ‫تمثل‬ ‫س‬ ‫كان‬ ‫(إذا‬ – ‫س‬ = ‫ص‬ ‫كانت‬ ‫و‬ ‫بالكجم‬ ‫الشخص‬15 ‫سرعته‬ ‫شخص‬ ‫كتلة‬ ‫فاحسب‬35. ‫الدقيقة‬ / ‫م‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )2‫بين‬ ‫أعمارهن‬ ‫نساء‬ ‫لسبعة‬ ‫بيانات‬ ‫يلي‬ ‫(فيما‬30–39‫كتلتهن‬ ‫حول‬ ‫سنة‬ ‫معاندلته‬ ‫أوجد‬ ‫و‬ ‫النحدار‬ ‫بخط‬ ‫البيانات‬ ‫مثل‬ . ‫وأطوالهن‬ ‫طولها‬ ‫امرأة‬ ‫كتلة‬ ‫أوجد‬ ‫ثم‬150. ‫سم‬ ‫بالسم‬ ‫الطول‬160165170175180185190 ‫بالكجم‬ ‫الكتلة‬737680859094100 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )3: ‫كالتي‬ ‫كانت‬ ‫و‬ ‫مدن‬ ‫لخمس‬ ‫الحرارة‬ ‫ندرجات‬ ‫رصد‬ ‫تم‬ ( 11،12،25،40،42 : ‫من‬ ‫كل‬ ‫احسب‬ . ‫المدى‬ ( ‫أ‬ . ‫الحرارة‬ ‫لدرجات‬ ‫المعياري‬ ‫النحراف‬ ( ‫ب‬ ................................................................................................................................................................ ................................................................................................................................................................ 14
  15. 15. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )4‫رتبت‬ ‫إذا‬ (12: ‫من‬ ‫كل‬ ‫ترتيب‬ ‫فما‬ ‫تصاعديا‬ ‫ندرجة‬ ‫المئيني‬25 ‫المئيني‬50 ‫المئيني‬75 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )5: ‫للبيانات‬ ‫الربيعي‬ ‫المدى‬ ‫و‬ ‫الوسيط‬ ‫أوجد‬ ( 20،18،23،45،17،56،26،40 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )6‫سبعة‬ ‫شمل‬ ‫هيما‬ ‫ولية‬ ‫في‬ ‫السبوعي‬ ‫النفاق‬ ‫حول‬ ‫للرأي‬ ‫استطل ع‬ ‫في‬ ( : ‫العماني‬ ‫بالريال‬ ‫يلي‬ ‫كما‬ ‫السر‬ ‫أرباب‬ ‫من‬ 50،45،30،60،47،55،39 . ‫الوسيط‬ ‫وأوجد‬ ‫تصاعديا‬ ‫ترتيبا‬ ‫المبالغ‬ ‫هذه‬ ‫رتب‬ ( ‫أ‬ . ‫الوسيط‬ ‫وأوجد‬ ‫المئوية‬ ‫النسب‬ ‫باستخدام‬ ‫تصاعديا‬ ‫المبالغ‬ ‫هذه‬ ‫رتب‬ ( ‫ب‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ 15
  16. 16. ........................................................................................................ )7....................... ‫يساوي‬ ‫التالية‬ ‫القيم‬ ‫لمجموعة‬ ‫(الوسيط‬ 50،45،30،60،47،55،39 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )8‫العداند‬ ‫عدند‬ ‫ليكن‬ (40‫الطلب‬ ‫بعدند‬ ‫العدند‬ ‫ترتيب‬ ‫كان‬ ‫(إذا‬ ‫أ‬44‫هو‬30........... ‫المئيني‬ ‫هو‬ ‫فيكون‬ ‫العدند‬ ‫ترتيب‬ ‫كان‬ ‫(إذا‬ ‫ب‬70‫هو‬38........... ‫المئيني‬ ‫هو‬ ‫فيكون‬ ‫العدند‬ ‫ترتيب‬ ‫كان‬ ‫إذا‬ (‫ج‬25......... ‫المئيني‬ ‫هو‬ ‫فيكون‬ ‫الثامن‬ ‫هو‬ )9( ‫الدرجات‬ ) ‫المفرندات‬ ‫عدند‬ ‫كان‬ ‫(إذا‬84‫المئيني‬ ‫كان‬ ‫و‬75‫يساوي‬80‫فكم‬ ‫؟‬ ‫الدرجة‬ ‫عن‬ ‫تزيد‬ ‫ندرجة‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ....................................................................................................................... .......................... )10‫ندرجات‬ ‫يوضح‬ ‫التي‬ ‫الجدول‬ (40: ‫العلوم‬ ‫ماندة‬ ‫امتحان‬ ‫في‬ ‫طالبا‬ ‫الوسيط‬ ( ‫أ‬ : ‫أوجد‬ ‫المئيني‬ ( ‫ب‬75 ‫الدرجات‬ ‫فئات‬20-30‫ـ‬40‫ـ‬50‫ـ‬60‫ـ‬70‫ـ‬80 ‫التكرار‬5697643 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ 16
  17. 17. )11‫بمدرسة‬ ” ‫العلوم‬ ‫ماندة‬ ” ‫الخامس‬ ‫الصف‬ ‫طالبات‬ ‫ندرجات‬ ‫رصد‬ ‫تم‬ ( : ‫يلي‬ ‫كما‬ ‫فكانت‬ ‫الساسي‬ ‫للتعليم‬ ‫ريما‬ 51.55378707324824571.5578062.5 72.56134504663815251.5587543.5 47.57480505261635058.5484049.5 64.53748606955704252.5665356.5 68.570469550534887 : ‫يلي‬ ‫مما‬ ‫كل‬ ‫أوجد‬ . ‫الفئات‬ ‫ذي‬ ‫التكرار‬ ‫جدول‬ . ‫الصاعد‬ ‫المتجمع‬ ‫التكرار‬ ‫جدول‬ . ‫بيانيا‬ ‫الوسيط‬ . ‫مئوي‬ ‫مقياس‬ ‫على‬ ‫البيانات‬ ‫وضع‬ . ‫الربيعي‬ ‫المدى‬ ، ‫العلى‬ ‫الربيع‬ ، ‫الندنى‬ ‫الربيع‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )12‫من‬ ‫سائل‬ ‫حرارة‬ ‫ندرجة‬ ‫تتغير‬ (250‫إلى‬ ‫ندرجة‬150‫خلل‬ ‫ندرجة‬ 20.‫الحرارة‬ ‫ندرجة‬ ‫في‬ ‫التغير‬ ‫معدل‬ ‫احسب‬ . ‫ندقيقة‬ ‫والزمن؟‬ ‫الحرارة‬ ‫ندرجة‬ ‫بين‬ ‫العلقة‬ ‫بيانيا‬ ‫مثل‬ ‫ثم‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ )13‫الرياضيات‬ ‫اختبار‬ ‫في‬ ‫المدارس‬ ‫لحدى‬ ‫العاشر‬ ‫الصف‬ ‫طلبة‬ ‫ندرجات‬ ‫(كانت‬ 17
  18. 18. : ‫كالتي‬ 9،12،20،9،11،8،10،7،13‫العظمى‬ ‫العلمة‬ )20. ( . ‫الربيعي‬ ‫المدى‬ ‫احسب‬ ‫ثم‬ ‫العلى‬ ‫الربيع‬ ‫و‬ ‫الندنى‬ ‫الربيع‬ ‫عين‬ ( ‫أ‬ . ‫التوزيع‬ ‫هذا‬ ‫في‬ ‫وجدت‬ ‫إن‬ ‫المتطرفة‬ ‫القيم‬ ‫حدند‬ ( ‫ب‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ........................................................................................................ * ‫الثالثة‬ ‫الوحدة‬ ‫أسئلة‬ ‫انتهت‬ * ‫أسئلة‬‫التنمية‬‫المعرفية‬‫في‬‫مادة‬ ‫الرياضيات‬‫للصف‬‫العاشر‬ 18
  19. 19. ‫الوحدة‬‫الرابعة‬ ‫العداد‬‫الحقيقية‬‫والمصفوفات‬ )1: ‫المربعة‬ ‫للمصفوفة‬ ‫الضربي‬ ‫المحايد‬ ‫يسمى‬ ‫التالية‬ ‫المصفوفات‬ ‫أي‬ ( ( ‫ب‬ ‫صفر‬ ‫صفر‬ (‫أ‬1‫صفر‬ ‫صفر‬ ‫صفر‬ ‫صفر‬1 ( ‫ج‬1( ‫ند‬ ‫صفر‬11 1‫صفر‬ ‫صفر‬ ‫صفر‬ )2= × ( (‫أ‬4(‫ب‬2 (‫ج‬10( ‫ند‬6 )3= ( + ) ‫المقدار‬ ‫قيمة‬ ( (‫أ‬4(‫ب‬6 (‫ج‬8(‫ند‬10 )4: ‫يساوي‬ ‫للعدند‬ ‫صورة‬ ‫أبسط‬ ( ( ‫ب‬ ( ‫أ‬2 ( ‫ج‬4( ‫ء‬2 )5‫يساوي‬ ‫صورة‬ ‫أبسط‬ ‫في‬ ÷ ‫قيمة‬ ‫ما‬ ( ( ‫ب‬ ( ‫أ‬ ( ‫ء‬ ( ‫ج‬ )6‫س‬ ‫المعاندلة‬ ‫حل‬ ‫مجموعة‬ (2 –3= ‫س‬0: ‫هي‬ } ( ‫ب‬ { ‫صفر‬ } ( ‫أ‬3{ ، ‫صفر‬ } ( ‫ج‬3‫ــ‬ ، ‫صفر‬ } ( ‫ء‬ {3{ 19
  20. 20. )7= ( ( ‫أ‬2( ‫ب‬3 ( ‫ج‬9( ‫ء‬6 )8‫هو‬ + ‫العدند‬ ‫مرافق‬ ( ‫ــ‬ ( ‫ب‬ + ( ‫أ‬ ‫ــ‬ ( ‫ء‬ + ( ‫ج‬ )9.......... ( > (‫ب‬ < (‫أ‬ ‫ذلك‬ ‫غير‬ (‫ند‬ = (‫ج‬ 1 )10‫أ‬ ‫المصفوفة‬ (‫ــ‬‫ــ‬5............ ‫الرتبة‬ ‫من‬ 7 (‫أ‬3×1(‫ب‬1×3 (‫ج‬3(‫ند‬1 )11= ‫المعاندلة‬ ‫حل‬ ‫مجموعة‬ (2‫هي‬ { (‫أ‬2{ (‫ب‬ }3} { (‫ج‬8{ (‫ند‬ }9} 35 )12........... ‫هو‬ ‫للمصفوفة‬ ‫الضربى‬ ‫النظير‬ ( 12 2‫ــ‬5252‫ــ‬553 (‫ند‬ (‫ج‬ (‫ب‬ (‫أ‬ ‫ــ‬13131321 20
  21. 21. )13= ‫المعاندلة‬ ‫حل‬ ‫مجموعة‬ (4 { (‫أ‬8{ (‫ب‬ }16} { (‫ج‬64{ (‫ند‬ }4} )14‫جمع‬ ‫ناتج‬ (5+6‫ــ‬2‫ــ‬3 (‫أ‬11‫ــ‬4(‫ب‬2+4 (‫ج‬2‫ــ‬4(‫ند‬6 )15= ‫المعاندلة‬ ‫حل‬ ‫مجموعة‬ ( { (‫ب‬ }‫صفر‬ { (‫أ‬1} ‫ــ‬ { (‫ج‬1{ (‫ند‬ }2} )1‫ناتج‬ ‫أوجد‬ (8+6+ ‫ــ‬2 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )2: ‫صورة‬ ‫لبسط‬ ‫أختصر‬ ( + – ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )3‫ناتج‬ ‫(أوجد‬ )11–3–2) ‫ــ‬ (23–3+2( ................................................................................................................................................................ ................................................................................................................................................................ 21
  22. 22. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )4: ‫ذلك‬ ‫من‬ ‫تحقق‬ ‫ثم‬ ‫صحيحا‬ ‫يلي‬ ‫مما‬ ‫أي‬ ‫بين‬ ( + = ( ‫أ‬ × = ( ‫ب‬ ÷ = ( ‫ج‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )5: ‫التالية‬ ‫العبارة‬ ‫صحة‬ ‫من‬ ‫تحقق‬ ( = ( ‫أ‬2 = ( ‫ب‬6 ÷ = ( ‫ج‬4 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )6: ‫صورة‬ ‫أبسط‬ ‫في‬ ‫التالية‬ ‫الجذور‬ ‫أكتب‬ ( ، ، ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )7‫تصاعديا‬ ‫ترتيبا‬ ‫التية‬ ‫الجذور‬ ‫رتب‬ ( ، ، ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ 22
  23. 23. 5- ‫س‬2‫ص‬ + ‫س‬4‫ص‬ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... 43 )8‫أ‬ ‫كانت‬ ‫إذا‬ (‫ــ‬=25 7‫ــ‬2 . ‫المصفوفة‬ ‫رتبة‬ ‫حدند‬ ( ‫أ‬ ‫أ‬ ‫التالية‬ ‫المدخلت‬ ‫من‬ ‫كل‬ ‫قيم‬ ‫ما‬ ( ‫ب‬11‫أ‬ ،12‫أ‬ ،21‫أ‬ ،23‫؟‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )9‫مساحاتها‬ ‫مزار ع‬ ‫أربع‬ ‫الوليات‬ ‫أحد‬ ‫في‬ ‫توجد‬ (100،120،150،200 ‫إلى‬ ‫مقسمة‬ ‫الولى‬ ‫المزرعة‬ ، ‫بالفدان‬40،35،25‫إلى‬ ‫مقسمة‬ ‫الثانية‬ ‫و‬ ، ‫فدان‬ 30،50،40‫الثالثة‬ ‫و‬ ، ‫فدان‬75،25،50‫الرابعة‬ ‫و‬ ، ‫فدان‬45،65،90 . ‫بأشجار‬ ‫مزروعة‬ ‫فدان‬ ‫مصفوفة‬ ‫في‬ ‫المعلومات‬ ‫هذه‬ ‫رتب‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )10‫كان‬ ‫إذا‬ ‫ص‬ ، ‫س‬ ‫قيمة‬ ‫(أوجد‬ 2‫ــ‬ ‫س‬57117 = 4+ ‫ص‬246 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... 23
  24. 24. )11‫كان‬ ‫إذا‬ ‫ص‬ ، ‫س‬ ‫من‬ ‫كل‬ ‫قيم‬ ‫(أوجد‬ 5‫ــ‬ ‫س‬2‫ص‬1 = + ‫س‬4‫ص‬5 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )12‫النتاج‬ ‫معدل‬ ‫كان‬ ‫فإذا‬ ‫السلع‬ ‫من‬ ‫نوعين‬ ‫لنتاج‬ ‫آلت‬ ‫ثلثة‬ ‫مصنع‬ ‫لدى‬ ( ‫الول‬ ‫المنتج‬ ‫من‬ ‫الشهري‬10،15،18‫الثاني‬ ‫المنتج‬ ‫من‬ ‫و‬9،12،8 . ‫مصفوفة‬ ‫شكل‬ ‫على‬ ‫المصنع‬ ‫إنتاج‬ ‫بيانات‬ ‫اكتب‬ (‫أ‬ ‫شكل‬ ‫على‬ ‫الجديد‬ ‫النتاج‬ ‫فأكتب‬ ، ‫الشهري‬ ‫النتاج‬ ‫المصنع‬ ‫صاحب‬ ‫ضاعف‬ ‫إذا‬ (‫ب‬ . ‫السابقة‬ ‫المصفوفة‬ ‫رتبة‬ ‫بنفس‬ ‫و‬ ‫مصفوفة‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... 2‫ــ‬14 )13‫س‬ ‫كان‬ ‫إذا‬ (‫ــ‬=035 321 ‫قيمة‬ ‫أوجد‬2‫س‬‫ــ‬‫؟‬ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )14: ‫جبريا‬ ‫التاليتين‬ ‫المتباينتين‬ ‫حل‬ ( 3+ ‫س‬2≥ ‫ص‬12 24
  25. 25. 2+ ‫س‬5≥ ‫ص‬20 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )15: ‫بيانيا‬ ‫التاليتين‬ ‫المتباينتين‬ ‫حل‬ ( ≥ ‫ص‬ + ‫س‬5 ≥ ‫ص‬ – ‫س‬2 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... )15((‫عن‬ ‫تزيد‬ ‫ل‬ ‫مساحتها‬ ‫أرضا‬ ‫يمتلك‬ ‫مزارعا‬ ‫أن‬ ‫علمت‬ ‫إذا‬22‫علمت‬ ‫و‬ ‫فدان‬ ‫تزيد‬ ‫ل‬ ‫بأرض‬ ‫الول‬ ‫النوع‬ ‫زراعة‬ ‫يتم‬ ‫بحيث‬ ‫الشتل ت‬ ‫من‬ ‫نوعين‬ ‫زراعة‬ ‫يريد‬ ‫أنه‬ ‫عن‬ ‫مساحتها‬10‫تتم‬ ‫و‬ ‫فدان‬ ‫عن‬ ‫تقل‬ ‫ل‬ ‫بأرض‬ ‫الثاني‬ ‫النوع‬ ‫زراعة‬4‫المساحة‬ ‫تمثل‬ ‫التي‬ ‫المنطقة‬ ‫فحدد‬ . ‫أفدنة‬ . ‫المزروعة‬ ≥ ‫ص‬ + ‫س‬ : ‫إرشاد‬22≥ ‫س‬ ،10≤ ‫ص‬ ،4 ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ............................................................................................................... * ‫الرابعة‬ ‫الوحدة‬ ‫أسئلة‬ ‫انتهت‬ * 25
  26. 26. ‫أسئلة‬‫التنمية‬‫المعرفية‬‫في‬‫مادة‬ ‫الرياضيات‬‫للصف‬‫العاشر‬ ‫الوحدة‬‫الخامسة‬ ‫الحدوديات‬‫والدوال‬‫الجبرية‬ )1‫س‬ ‫قسمة‬ ‫باقي‬ (2‫ــ‬4+ ‫س‬7‫ــ‬ ‫)س‬ ‫على‬2: ‫يساوي‬ ( )‫د‬ (‫أ‬2‫ـ‬ ‫د)س‬ (‫ج‬ (‫د)س‬ (‫ب‬ (2( )2: ‫يسمى‬ ‫أ‬ ‫فان‬ (‫د)س‬ ‫للحدودية‬ ‫عامل‬ ( ‫أ‬ ‫ــ‬ ‫س‬ ) ‫كان‬ ‫إذا‬ ( ‫ثابت‬ (‫ج‬ ‫الحدودية‬ ‫صفر‬ (‫ب‬ ‫الباقي‬ (‫أ‬ )3: ‫هي‬ ‫الجبرية‬ ‫المقادير‬ ‫وطرح‬ ‫جمع‬ ‫عمليتي‬ ‫في‬ ‫خطوة‬ ‫أول‬ ( ‫المقاما ت‬ ‫توحيد‬ (‫ج‬ ‫المقاما ت‬ ‫ضرب‬ (‫ب‬ ‫البسط‬ ‫تحليل‬ (‫أ‬ )4: ‫دالة‬ ‫تمثل‬ ‫التالية‬ ‫العلقا ت‬ ‫أي‬ ( (‫ج‬ (‫ب‬ ( ‫أ‬ )5= (‫د)ن‬ ‫أن‬ ‫علمت‬ ‫إذا‬ (0.5+ ‫ن‬110‫فان‬ ‫العادي‬ ‫للنسان‬ ‫الضغط‬ ‫دالة‬ ‫تمثل‬ ‫عمره‬ ‫طالب‬ ‫ضغط‬14: ‫هو‬ ‫سنة‬ (‫أ‬117(‫ب‬110.5(‫ج‬17 )6‫أس‬ =(‫د)س‬ ‫كانت‬ ‫إذا‬ (2= ‫ج‬ + ‫س‬ ‫ب‬ +8-3)4‫س‬ + ‫س‬2‫فإن‬ ( = (‫ج‬ – ‫ب‬ – ‫أ‬ ) - (‫أ‬23- (‫ب‬7 (‫ج‬1(‫د‬7 )7– ‫س‬ = (‫)س‬ ‫هـ‬ ‫كان‬ ‫إذا‬ (2‫الحدود‬ ‫كثيرة‬ ‫عوامل‬ ‫من‬ ‫ل‬ً ‫م‬ ‫عام‬ ‫س‬ = (‫)س‬ ‫د‬3+2‫س‬2– ‫س‬ ‫أ‬ –2‫تساوي‬ ‫أ‬ ‫قيمة‬ ‫فإن‬ - (‫أ‬7(‫ب‬7 (‫ج‬9- (‫د‬9 26
  27. 27. )8=(‫د)س‬ ‫كان‬ ‫إذا‬ (2+ ‫س‬3=(‫)س‬ ‫هـ‬ ،3+ ‫س‬2‫)هـ‬ ‫فإن‬o= (‫)س‬ (‫د‬ (‫أ‬6+ ‫س‬5(‫ب‬6+ ‫س‬7 (‫ج‬6+ ‫س‬9(‫د‬6+ ‫س‬11 )9‫وهي‬ ‫لواحد‬ ‫واحد‬ ‫دالة‬ ‫تمثل‬ ‫التية‬ ‫العلقا ت‬ ‫إحدى‬ ( (‫ب‬ (‫أ‬ (‫د‬ (‫ج‬ )10‫د)س(=س‬ ‫قسمة‬ ‫باقي‬ ‫كان‬ ‫إذا‬ (2+ ‫س‬ ‫أ‬ –6-‫س‬ = (‫)س‬ ‫هـ‬ ‫على‬3 ‫هو‬24= ‫أ‬ ‫فإن‬ - (‫أ‬4- (‫ب‬3 - (‫ج‬2- (‫د‬1 )11‫س‬ = ( ‫س‬ ) ‫د‬ ‫قسمة‬ ‫باقي‬ (3 +2‫س‬2 ‫ــ‬14‫ــ‬ ‫س‬5 ‫ــ‬ ‫س‬ ) ‫علي‬3‫يساوي‬ ( (‫أ‬2- (‫ب‬3 - (‫ج‬2(‫د‬3 )12‫س‬ ‫ب‬ = ( ‫س‬ ) ‫د‬ ‫قسمة‬ ‫باقي‬ ‫تجعل‬ ‫التي‬ ‫ب‬ ‫قيمة‬ (2 +5‫س‬ ‫ــ‬ ‫س‬ ) ‫علي‬1‫يساوي‬ (7‫هي‬ (‫أ‬1(‫ب‬2 (‫ج‬3(‫د‬4 )13: ‫هي‬ ‫دالة‬ ‫تمثل‬ ‫التي‬ ‫العلقة‬ ( ‫ص‬ = ‫س‬ (‫أ‬2 ± = ‫ص‬ (‫ب‬ = ‫ص‬ (‫ج‬5‫ص‬ (‫د‬4 ‫س‬ = )14‫س‬ = ( ‫س‬ ) ‫د‬ ‫صورة‬ (2 ‫بمدار‬ ‫بالزاحة‬2‫لمحور‬ ‫الموجب‬ ‫التجاة‬ ‫في‬ : ‫هي‬ ‫السينا ت‬ 27
  28. 28. ‫س‬ = ( ‫س‬ ) ‫د‬ (‫أ‬2 +2‫س‬ = ( ‫س‬ ) ‫د‬ (‫ب‬2 ‫ــ‬2 + ‫س‬ ) = ( ‫س‬ ) ‫د‬ (‫ج‬2(2 ‫ــ‬ ‫س‬ = ( ‫س‬ ) ‫د‬ (‫د‬2 )15= ( ‫س‬ ) ‫د‬ ‫للدالة‬ ‫التماثل‬ ‫محور‬ (3‫س‬2 +4‫هو‬ = ‫س‬ (‫ب‬ ‫صفر‬ = ‫س‬ (‫أ‬2 = ‫س‬ (‫ج‬3= ‫س‬ (‫د‬4 )1‫س‬ ‫قسمة‬ ‫ناتج‬ ‫اوجد‬ (3 ‫ــ‬1‫ــ‬ ‫س‬ ‫على‬1 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................ )2‫س‬ = ( ‫س‬ ) ‫د‬ ‫قسمة‬ ‫باقي‬ ‫اوجد‬ (2 ‫ــ‬1= ( ‫س‬ ) ‫ل‬ ‫علي‬2‫ــ‬ ‫س‬1 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................ )3‫الحدودية‬ ‫قسمة‬ ‫باقي‬ ‫تجعل‬ ‫التي‬ ‫ب‬ ‫قيمة‬ ‫اوجد‬ ( ‫س‬ ‫ب‬ = ( ‫س‬ ) ‫د‬2 + ‫ب‬ ) ‫ــ‬1+ ‫س‬ (3‫ــ‬ ‫س‬ ) ‫علي‬2‫هو‬ (9 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................ )4‫يأتي‬ ‫ما‬ ‫ناتج‬ ‫اوجد‬ ( + ‫س‬ )5(‫ــ‬1 ‫ــ‬ ‫س‬ ) ‫ــ‬5(‫ــ‬1 ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. ............................................................................................................................................................. 28

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