Math school-books-5th-primary-2nd-term-khawagah-2019

1. ‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬ / ‫أ‬
‫اﻟﺮﯾﺎﺿﯿﺎت‬ ‫ﻣﺪرس‬
‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﺑﻤﺪارس‬

2. 2
ْ‫أ‬ ‫ذزوش‬
= ‫ع‬ ‫اٌؼذ‬ ‫أػذاد‬}1,2,3,4,5.......,{
= ‫ط‬ ‫اٌغث١ؼ١ح‬ ‫االػذاد‬ ‫ِدّٛػح‬}0,1,2,3,4,5................ ,{
‫ذذس٠ثاخ‬‫اٌراس٠خ‬/ /
‫ط‬1‫إٌّاسة‬ ‫اٌشِض‬ ‫ضغ‬ /(,,,):
1)2,9‫ط‬ .........2)‫ط‬ ...........
3‫صفش............ط‬ )4)}54{........‫.ط‬
5)}7{-}7,6{‫.......................ط‬6)22,22‫..............ط‬
7)}4{}5,7{‫...................ط‬8)13‫................ط‬
9)}3{}2,6{‫.......................ط‬10)‫ط‬ ..............
‫ط‬2: ٍٟ٠‫ِا‬ ًّ‫أو‬ /
1٘ ٟ‫عث١ؼ‬ ‫أصغشػذد‬ )ٛ...................ٛ٘ ‫اٌؼذ‬ ‫اػذاد‬ ٟ‫ف‬ ‫ػذد‬ ‫ٚأصغش‬ ............
2ِٓ ً‫االل‬ ‫اٌغث١ؼ١ح‬ ‫األػذاد‬ ‫)ِدّٛػح‬7...............................................
3‫اال‬ ‫األػذاد‬ ‫ِدّٛػح‬ )ِٓ ً‫االل‬ ‫ٌٚ١ح‬18......................................... ٟ٘
4‫األ‬ ‫ِدّٛػح‬ )ِٓ ‫االوثش‬ ‫اٌفشد٠ح‬ ‫اٌغث١ؼ١ح‬ ‫ػذاد‬9.ٟ٘..............................
5‫األ‬ ‫ِدّٛػح‬ )ٓ١‫ت‬ ‫اٌّحصٛسج‬ ‫اٌغث١ؼ١ح‬ ‫ػذاد‬3,7........... ٟ٘..................
3
4
6ِٓ ‫األوثش‬ ‫اٌغث١ؼ١ح‬ ‫األػذاد‬ ‫ِدّٛػح‬ )2ِٓ ً‫ٚال‬6.......................................ٟ٘
‫ﻮق‬‫اﻟﺘﻔ‬‫ﻨﻰ‬‫ﯾﻌ‬‫ﺳﻢ‬‫ا‬‫ﻮط‬‫ﺄﺳﯿ‬‫ﺑ‬‫ﻮﺛﺮ‬‫اﻟﻜ‬‫دار‬‫رس‬‫ﻣﺪا‬

3. 3
‫ط‬3: ‫ٔاذح‬ ‫اٚخذ‬ /
1).............................= ‫ط‬
2‫ع‬ )..............................= ‫ط‬
3‫ط‬ )–‫ط‬..............................=
4‫ع‬ ).............................= ‫ط‬
5‫ع‬ )–...................... = ‫ط‬.......
6‫ط‬ )-}.{............................=
7)}2,7,8{-...= ‫ط‬...............
8‫ط‬ )-}2,3,0,7{..................=
9)}0{.................= ‫ع‬.........
10)‫ط‬–...........................= ‫ع‬
ً‫اىنال‬ ‫قيح‬ ‫اىٖٞثح‬ ‫أعثاب‬ ٍِ
‫األ‬ ‫كنوز‬ ‫األخالق‬ ‫سعة‬ ‫فى‬‫رزاق‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬ ‫ﻣﺴﺘﺮ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

4. 4
1)ٍٝ‫ػ‬ ‫اٌمسّح‬ ً‫٠مث‬ ٜ‫اٌز‬ ‫اٌؼذد‬ ٛ٘ ٝ‫اٌضٚخ‬ ‫اٌؼذد‬2{ = ‫ص‬ ْ‫أ‬ ٞ‫أ‬0,2,4} ........ ,
2ٍٝ‫ػ‬ ‫اٌمسّح‬ ً‫٠مث‬ ‫ال‬ ٜ‫اٌز‬ ‫اٌؼذد‬ ٛ٘ : ٜ‫اٌفشد‬ ‫اٌؼذد‬ )2{ = ‫ف‬ ْ‫أ‬ ٞ‫أ‬1,3,5} ... ,
3ٍ‫ػ‬ ‫اٌمسّح‬ ً‫٠مث‬ ٜ‫اٌز‬ ‫اٌؼذد‬ ٛ٘ : ٌٝٚ‫األ‬ ‫اٌؼذد‬ )) ‫فمظ‬ ْ‫ػاِال‬ ٌٗ ( ‫فمظ‬ ‫اٌٛاحذ‬ ٍٝ‫ٚػ‬ ٗ‫ٔفس‬ ٝ
‫ص‬ (‫ف‬ , ‫ط‬‫أ‬ , ‫ط‬) ‫ط‬
‫ذذس٠ثاخ‬
1‫ص‬ ).........................= ‫ط‬2)‫ف‬....................= ‫ط‬...........
3‫ص‬ ).......................= ‫ف‬4‫ص‬ )........= ‫أ‬.........................
5)‫أ‬-.........................= ‫ف‬6‫ف‬ )-................... = ‫ص‬.............
7)}2{= ‫أ‬..........................8‫ط‬ )–‫(ف‬...............= )‫ص‬.......
9)}0{-...= ‫ط‬.........................10‫ط‬ )-‫ص‬.................=...............
11‫ِدّٛػح‬ )‫اٌؼذد‬ ًِ‫ػٛا‬8–‫ص‬.........=............................
12‫اٌؼذد‬ ًِ‫ػٛا‬ ‫ِدّٛػح‬ )6......= ‫ف‬.............................
13.............. ٛ٘ ٌٟٚ‫أ‬ ‫ػذد‬ ‫أصغش‬ )....................................
14‫اٌؼذد‬ ًِ‫ػٛا‬ ‫ِدّٛػح‬ )9........ ٟ٘.................................................
15‫األ‬ ‫ِدّٛػح‬ )‫األ‬ ‫ػذاد‬ِٓ ً‫االل‬ ‫ٌٚ١ح‬25........................................... ٟ٘
ْ‫أ‬ ‫ذزوش‬:
‫ا‬‫لخلوق‬‫صدوق‬
‫ضعيف‬ ‫والعنيف‬
‫نبيل‬ ‫واألصيل‬
‫حكيم‬ ‫والحليم‬
‫ﻞ‬‫ﻣ‬‫ﻛﺎ‬‫ﺮ‬‫ﺎﺑ‬‫ﺟ‬‫ﻦ‬‫ﻤ‬‫أﯾ‬‫ﺮ‬‫ﺴﺘ‬‫ﻣ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

5. 5
‫ط‬1‫األ‬ ‫خظ‬ ٜ‫ػي‬ ‫ٍثو‬ ٗ ‫اىغشد‬ ‫تغشٝقح‬ ‫)امرة‬‫ػذاد‬:
1= ‫ط‬ )}: ‫ط‬‫ط‬, ‫ط‬1‫ط‬6{
.................................................................................................
2=‫ص‬ )}‫ط‬ : ‫ط‬, ‫ط‬‫ط‬4{
..................................................................................................
3= ‫ه‬ )}‫ط‬ : ‫ط‬, ‫ط‬‫ط‬3ٛٗ‫ذغا‬ ٗ‫أ‬ ٍِ ‫ٗأقو‬7{
....................................................................................................
4‫األ‬ ‫اىؼ٘اٍو‬ ‫ٍدَ٘ػح‬ )‫ٗىٞح‬ٍِ ‫االقو‬15
....................................................................................................
5=‫ط‬ )}‫اىؼذد‬ ‫ٍضاػفاخ‬ ‫أزذ‬ ‫ب‬ : ‫ب‬2‫األ‬ٍِ ‫قو‬8{
....................................................................................................
6‫األ‬ ‫ٍدَ٘ػح‬ )‫اىضٗخٞح‬ ‫ػذاد‬
...................................................................................................
‫ـــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ‬‫ـــــــــــــــــــ‬
‫ط‬2)‫أمَو‬‫اىَْاعة‬ ‫اىشٍض‬ ‫ت٘ضغ‬,ُ‫ما‬ ‫ارا‬‫أ‬‫عثٞؼٞح‬ ‫أػذاد‬ ‫د‬ , ‫خـ‬ , ‫ب‬ ,:
1‫ب‬ ..... ‫أ‬ )2‫ب......ٕـ‬ )‫أ‬ ‫ب‬ ‫جـ‬ ‫د‬ ‫هـ‬
3)......‫ٕـ‬‫أ‬4‫خـ.......د‬ )
____________________________________________
‫ط‬3)‫اىشٍ٘ص‬ ً‫اعرخذ‬,,,: ‫اىراىٞح‬ ‫اىدَو‬ ِ‫ػ‬ ‫ىيرؼثٞش‬
1ٍِ ‫اقو‬ ‫ط‬ )82)9‫ه‬ ٛٗ‫ذغا‬ ٗ‫أ‬ ٍِ ‫أقو‬
............................................
3‫ه‬ ٛٗ‫ذغا‬ ٗ‫أ‬ ٍِ ‫أمثش‬ ‫)ع‬4ِٞ‫ت‬ ‫ذْسصش‬ ً )6,17
....................... .........................
‫تاهلل‬ ‫ثق‬
‫تْفغل‬ ٌ‫ث‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬ ‫ﻣﺴﺘﺮ‬

6. 6
‫ط‬1‫ضغ‬ ),:
1()4+2‫........ط‬ )2( )4+‫...........ط‬ )
3( )4,4+3,6‫.............ط‬ )4( )5-3‫...................ط‬ )
5( )8–14‫.................ط‬ )6( )2,6–4,6‫)..................ط‬
7( )4–5‫...................ط‬ )8( )7‫ــ‬7‫........................ط‬ )
__________________________________________________
‫ط‬2: ‫اىَغرخذٍح‬ ‫اىخاصٞح‬ ‫مراتح‬ ‫ٍغ‬ ‫ّاذح‬ ‫الٝداد‬ ‫أمَو‬ )
1( )4×72)25( =72× )....... ×25............. ‫خاصٞح‬
=72(×4)........×............. ‫خاصٞح‬
=72..............×............. ‫خاصٞح‬
.......................=
‫ـــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ‬‫ـــــــــ‬
2‫اعر‬ ُٗ‫تذ‬ ‫ّاذح‬ ‫الٝداد‬ ‫ٗاىر٘صٝغ‬ ‫ٗاىذٍح‬ ‫االتذاه‬ ‫خ٘اص‬ ً‫اعرخذ‬ ):‫اىساعثح‬ ‫االىح‬ ً‫خذا‬
1)125×237×8
...............................................................................................................
‫األػذاد‬ ‫خَغ‬ ‫ػَيٞح‬ ‫خ٘اص‬
‫اىغثٞؼٞح‬
‫ٍغيقح‬ ‫اىدَغ‬ ‫ػَيٞح‬
‫اىدَغ‬ ‫ػَيٞح‬‫إتذاىٞح‬
‫اىدَغ‬ ‫ػَيٞح‬‫داٍدح‬
‫اىؼْصش‬ ٕ٘ ‫اىصفش‬
‫اىَساٝذ‬
1
4
ٚ‫ذْغ‬ ‫ال‬
‫اهلل‬ ‫رمش‬
‫اﻟﺟﻣﻌﻰ‬
‫ﺎﻣﻞ‬‫ﻛ‬‫ﺑﺮ‬‫ﺎ‬‫ﺟ‬‫ﯾﻤﻦ‬‫أ‬‫ﺘﺮ‬‫ﺴ‬‫ﻣ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

7. 7
2)4×976×25
..............................................................................................................
3( )125×8+25×44× )94)28+59+72
...........................................................................................
..........................................................................................
..........................................................................................
5)156+871+344+1296)114+152+186+348
.................................................................................................
.................................................................................................
........................................................... .......................................
7َ‫اى‬ ‫اىؼْصش‬ )....... ٕ٘ ‫ط‬ ٜ‫ف‬ ٜ‫اىدَؼ‬ ‫ساٝذ‬‫ا‬ ‫اىؼْصش‬ ‫تَْٞا‬........ ٕ٘ ‫ط‬ ٜ‫ف‬ ٜ‫اىضشت‬ ‫ىَساٝذ‬.
***********************************************************
‫ط‬4ٜ‫ٝي‬ ‫ٍا‬ ‫أمَو‬ )‫تـ‬: )ٜ‫اٗى‬ , ٜ‫صٗخ‬ , ٛ‫فشد‬ (
1-+‫ط‬ ُ‫فا‬ ٛ‫فشد‬ ‫ػذد‬ ‫ط‬3.........................‫ػذد‬ =........................
2-+‫ط‬ ُ‫فا‬ ‫فشدٝا‬ ‫ػذدا‬ ‫ط‬ ُ‫ما‬ ‫ارا‬2.......‫ػذد‬ ُ٘‫ٝن‬............................
3-+‫ص‬ ُ‫فا‬ ‫صٗخٞا‬ ‫ػذدا‬ ‫ص‬ ُ‫ما‬ ‫ارا‬1....................................‫ػذد‬ ُ٘‫ٝن‬
4-‫ع‬ ُ‫فا‬ ‫فشدٝا‬ ‫ػذدا‬ ‫ع‬ ُ‫ما‬ ‫ارا‬-1...........................................‫ػذد‬ ُ٘‫ٝن‬
5-ٜ‫أٗى‬ ‫ػذد‬ ‫اصغش‬×............‫ػذد‬ = ٛ‫فشد‬ ‫ػذد‬ ٛ‫أ‬.............................
‫ط‬5)1-‫ْٕاك‬ ُ‫ما‬ ‫إرا‬‫ثالثح‬‫أ‬‫ٍررا‬ ‫صٗخٞح‬ ‫ػذاد‬+‫ط‬ ( ‫أصغشٕا‬ ‫ىٞح‬3‫األ‬ ٓ‫ٕز‬ ‫فامرة‬ )‫ػذاد‬
............................................................................................................
2-ِٝ‫االخش‬ ِٝ‫اىؼذد‬ ‫فأٗخذ‬ ‫ص‬ ‫اٗعغٖا‬ ‫ٍرراىٞح‬ ‫فشدٝح‬ ‫عثٞؼٞح‬ ‫أػذاد‬ ‫ثالثح‬
.........................................................................................................
3-‫أ‬‫ستؼح‬‫أ‬+‫ط‬ ( ‫أمثشٕا‬ ‫ٍرراىٞح‬ ‫عثٞؼٞح‬ ‫ػذاد‬6‫األ‬ ٜٕ‫ٍا‬ )‫اىثالثح‬ ‫ػذاد‬
..........................................................................................................
4-‫ػذدا‬ ‫ط‬ ‫ماّد‬ ‫ارا‬‫أ‬, ‫صفش‬ ِٞ‫ت‬ ‫ْٝسصش‬ ‫ٗىٞا‬6ٌٞ‫اىق‬ ‫ٍٗثو‬ , ‫ط‬ ٌٞ‫ق‬ ‫فامرة‬‫خظ‬ ٜ‫ػي‬
‫األػذاد‬
..............................................................................................................
.............................................................................................................
43
‫ط‬

8. 8
‫ذذس٠ثاخ‬
‫ط‬1: ٜ‫ٝأذ‬ ‫ٍا‬ ‫أمَو‬
1-ٜ‫اىضشت‬ ‫اىَساٝذ‬ ‫اىؼْصش‬ٔٞ‫اى‬ ‫ٍضافا‬99...................................ٕ٘
2-9×17×........... =9.............................. ‫خاصٞح‬
3-943‫ط‬ (=×144+ )43............................. = ‫ط‬ ُ‫فا‬
4-86×15=86×+ ‫ط‬86×14............................ = ‫ط‬ ُ‫فا‬
5-7(91+4........×.........+........×....... = )................. ‫خاصٞح‬...
6-‫أ‬ (×) ‫ب‬×‫أ‬ = ‫خـ‬×‫(ب‬×‫خـ‬).................... ‫خاصٞح‬
‫ط‬7: ‫قَٞح‬ ‫أٗخذ‬ ‫اىر٘صٝغ‬ ‫خاصٞح‬ ً‫تاعرخذا‬ /
1)74×992)87×1441
................ ................................................................................
.................................................. ..............................................
3)2443×254)299×17
............................................................................. ...................
.................................................. ..............................................
5)14×98
..............................................
‫اىغثٞؼٞح‬ ‫األػذاد‬ ‫ضشب‬ ‫خ٘اص‬
‫ط‬ ٜ‫ف‬ ‫ٍغيقح‬ ‫اىضشب‬ ‫ػَيٞح‬
‫ط‬ ٜ‫ف‬ ‫إتذاىٞح‬ ‫اىضشب‬ ‫ػَيٞح‬
‫اىضشب‬ ‫ػَيٞح‬‫داٍدح‬‫ط‬ ٜ‫ف‬
‫اىَساٝذ‬ ‫اىؼْصش‬ ٕ٘ ‫اى٘ازذ‬
ٚ‫اىضشت‬
: ‫ط‬ ٜ‫ف‬ ‫اىقغَح‬ ‫ػَيٞح‬
‫ٍغيقح‬ ‫ىٞغد‬–‫إتذاىٞح‬ ‫ىٞغد‬
‫داٍدح‬ ‫ىٞغد‬–‫ىٖا‬ ‫ىٞظ‬
‫ٍساٝذ‬ ‫ػْصش‬
‫ىٖا‬ ‫ىٞظ‬ ‫اىصفش‬ ٚ‫ػي‬ ‫اىقغَح‬
ْٚ‫ٍؼ‬
‫ا‬ٜ‫اٌز‬ ‫اٌٛح١ذ‬ ‫اٌشٟء‬ ٟ٘ ‫ٌسؼادج‬
‫فىٍّا‬ ‫اٌش٠اض١اخ‬ ْٛٔ‫لا‬ ‫ِغ‬ ‫٠رؼاسض‬
‫ٌذ٠ه‬ ‫ذضاػفد‬ ٓ٠‫ا٢خش‬ ‫ِغ‬ ‫ذماسّرٙا‬
‫ﻛﺎﻣﻞ‬‫ﺟﺎﺑﺮ‬‫أﯾﻤﻦ‬‫ﻣﺴﺘﺮ‬

9. 9
1)5,7,9,11.........., ............ , .......... ,
2)2,6,18,54...........,.......... ,......... ,
3)1×1,2×2,3×3.................., ...........,
4)3,33,333................ , ............. ,
5)2,4,8............, ........... ,.............,.
6)1,4,7,14..................,............,.
7)1,3,9,27................,................,
8)5,15,25,35.... ,...................,................
9, ............ ,............)11,15,19
14....... ,........... ),....12,24,48...........,......... ,
11)144,85,74...................,........... ,
: ٙ‫اىؼذد‬ ‫اىَْظ‬
‫ٍؼْٞح‬ ‫ىقاػذج‬ ‫ًا‬‫ق‬‫ٗف‬ ‫ٝغٞش‬ ‫األػذاد‬ ٍِ ‫ذراتغ‬ ٕ٘
‫ذذسٝثاخ‬
‫أ‬ِ‫زغ‬ ‫اىقٞاٍح‬ ً٘ٝ ُ‫اىَٞضا‬ ٚ‫ف‬ ‫شئ‬ ‫ثقو‬‫اىخيق‬
‫ﻞ‬‫ﺎﻣ‬‫ﻛ‬‫ﺮ‬‫ﺎﺑ‬‫ﺟ‬‫ﻦ‬‫ﯾﻤ‬‫أ‬‫ﺮ‬‫ﺴﺘ‬‫ﻣ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

10. 11
‫اٌثا‬ ‫اٌٛحذج‬: ‫ٔ١ح‬
: ‫اىَْاعة‬ ٛ‫اىشٍض‬ ‫اىرؼثٞش‬ ‫أمَو‬ /1‫ط‬
1)ٍْٔ ‫عشذ‬ ‫إرا‬ ‫ط‬ ‫اىؼذد‬3...........=........................
2ٔٞ‫اى‬ ‫ٍضافا‬ ‫ه‬ ‫اىؼذد‬ ‫اٍثاه‬ ‫ثالثح‬ )5........=...............
3ٜ‫ف‬ ‫ضشب‬ ‫إرا‬ ‫ص‬ ‫اىؼذد‬ )7..............=..................
4ٍْٔ ‫ٍغشٗزا‬ ‫ط‬ ‫اىؼذد‬ ‫ثيث‬ )2...........................=
5.............= ‫ه‬ ‫اىؼذد‬ ‫ضؼف‬ )..............................
6ٔٞ‫اى‬ ‫ٍضافا‬ ً ‫اىؼذد‬ ‫ضؼف‬ )9.............=.............
7ٍْٔ ‫ٍغشٗذ‬ ‫ػذد‬ )8.............=......................
8ٔٞ‫اى‬ ‫ٍضاف‬ ‫ػذد‬ ‫ّصف‬ )4........................... =
+ ‫له‬ ‫أضفنا‬ ‫إذا‬ ‫ش‬ ‫ها‬ ‫عدد‬
‫ـــ‬ ‫هن‬ ‫طرح‬ ‫إذا‬ 2‫ش‬ ‫العدد‬ ‫ضعف‬
× ‫في‬ ‫ضرب‬ ‫إذا‬ 3‫ش‬ ‫العدد‬ ‫أهثال‬ ‫ثالثة‬
÷ ‫علي‬ ‫قسن‬ ‫إذا‬ ‫ش‬ ‫العدد‬ ‫نصف‬1
2
‫ذذسٝثاخ‬
‫أعدائك‬ ‫وتضرب‬ ‫أحزانك‬ ‫وتطرح‬ ‫أفراحك‬ ‫تجمع‬ ‫حاسبة‬ ‫آله‬ ‫نفسك‬ ‫تخيل‬
‫ب‬ ‫المحبة‬ ‫وتقسم‬‫اآلخرين‬ ‫وبين‬ ‫ينك‬
‫ﺎﻣﻞ‬‫ﻛ‬‫ﺑﺮ‬‫ﺎ‬‫ﺟ‬‫ﯾﻤﻦ‬‫أ‬‫ﺘﺮ‬‫ﺴ‬‫ﻣ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬ ‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

11. 11
: ‫األق٘اط‬ ِٞ‫ت‬ ‫ٍَا‬ ‫اىصسٞسح‬ ‫اإلخاتح‬ ‫اخرش‬ /2‫ط‬
1)‫إ‬‫عشزْا‬ ‫را‬5.. ٜ‫ػي‬ ‫ّسصو‬ ‫فإّْا‬ ‫ط‬ ‫اىؼذد‬ ٍِ....................
(5,‫ط‬5‫ــ‬ ‫ط‬ , ‫ط‬ ‫ــ‬5+‫ط‬ ,5)
2ٍْٔ ‫ٍغشٗزا‬ ‫ط‬ ‫اىؼذد‬ ‫ضؼف‬ )3................ =
‫(ط‬-3,2‫ط‬-3,3+‫ط‬2,5) ‫ط‬
3)‫إ‬‫عشزْا‬ ‫را‬5. ٜ‫ػي‬ ‫ّسصو‬ ‫ص‬ ‫اىؼذد‬ ‫اٍثاه‬ ‫ثالثح‬ ٍِ....................
(3-‫ص‬5,15-, ‫ص‬5-3) ‫ص‬
4)‫إ‬‫اضفْا‬ ‫را‬3....ٜ‫ػي‬ ‫ّسصو‬ ‫ط‬ ‫اىؼذد‬ ‫ضؼف‬ ٜ‫اى‬
‫ط‬ (+6,3+ ‫ط‬2,2+ ‫ط‬3,3+) ‫ط‬
5ٗ ‫اىدْٖٞاخ‬ ٍِ ‫ط‬ ُ‫ع٘صا‬ ‫ٗفشخ‬ )‫أ‬‫ٗاىذٕا‬ ‫ػغإا‬14ٍ ُ٘‫فٞن‬ ‫خْٖٞاخ‬...... ‫ؼٖا‬
‫ط‬ (-14+ ‫ط‬ ,14,14, ‫ط‬14-) ‫ط‬
: ٜ‫ٝي‬ ‫ٍا‬ ‫أمَو‬ / 3‫ط‬
1‫ضي‬ ‫ع٘ه‬ ‫ٍشتغ‬ ‫ٍسٞظ‬ ).........................= ‫ه‬ ٔ‫ؼ‬
2‫األ‬ ٛٗ‫ٍرغا‬ ‫ٍثيث‬ ‫ٍسٞظ‬ )....= ‫ه‬ ٔ‫ضيؼ‬ ‫ع٘ه‬ ‫ضالع‬.................
3ٔ‫ٗػشض‬ ‫ط‬ ٔ‫ع٘ى‬ ‫ٍغرغٞو‬ ‫ٍغازح‬ )5...............................= ٌ‫ع‬
4)‫إ‬ٗ ْٔٞ‫خ‬ ‫ط‬ ٌٝ‫ٍش‬ ‫ٍغ‬ ُ‫ما‬ ‫را‬‫أ‬‫اخرٖا‬ ٍِ ‫خزخ‬9................. ‫ٍؼٖا‬ ُ٘‫فٞن‬ ْٔٞ‫خ‬
5‫تَقذاس‬ ٔ‫ػشض‬ ِ‫ػ‬ ‫ٝضٝذ‬ ٔ‫ع٘ى‬ ‫ٍغرغٞو‬ )3ٌ‫ع‬‫فإ‬‫اىغ٘ه‬ ُ‫ما‬ ‫را‬ٌ‫ع‬ ‫ه‬
‫فإ‬...= ‫اىؼشض‬ ٌُ‫......ع‬
6‫ٍدَ٘ػَٖا‬ ُ‫ػذدا‬ )14.............................. ‫األخش‬ ُ٘‫فٞن‬ ‫ط‬ ‫أزذَٕا‬
7)‫إ‬‫ط‬ ‫زٞث‬ ‫عْح‬ ‫ط‬ ُٟ‫ا‬ ‫سخو‬ ‫ػَش‬ ُ‫ما‬ ‫را‬J: ‫فأٗخذ‬ ‫ط‬
‫تؼذ‬ ‫اىشخو‬ ‫ػَش‬8‫ٍْز‬ ‫اىشخو‬ ‫ػَش‬ ‫عْ٘اخ‬15‫عْح‬
.................. ....................................
‫ذثغَل‬
ٚ‫ف‬
‫أخٞل‬ ٔ‫ٗخ‬
‫صذقح‬
‫ﺎﻣﻞ‬‫ﻛ‬‫ﺑﺮ‬‫ﺎ‬‫ﺟ‬‫ﯾﻤﻦ‬‫أ‬‫ﺘﺮ‬‫ﺴ‬‫ﻣ‬

12. 12
: ‫اٌّؼادٌح‬ٓ١‫س٠اض١ر‬ ٓ١‫ػثاسذ‬ ٓ١‫ت‬ ٜٚ‫اٌرسا‬ ‫ػاللح‬ ّٓ‫ذرض‬ ‫س٠اض١ح‬ ‫خٍّح‬ ٟ٘
: ‫زاىح‬ ‫ىنو‬ ‫ٍؼادىح‬ ُ٘‫م‬ /1‫ط‬
1ٔٞ‫إى‬ ‫أضٞف‬ ‫إرا‬ ‫ػذد‬ )17‫ْٝرح‬28....................................................
2ٍْٔ ‫عشذ‬ ‫ارا‬ ‫ػذد‬ )9‫اىْا‬ ُ٘‫ٝن‬‫ذح‬23....................................................
3ٍْٔ ‫عشذ‬ ‫ارا‬ ‫ػذد‬ ‫ضؼف‬ )34‫ْٝرح‬14....................................................
4ٔٞ‫اى‬ ‫ٍضاف‬ ‫ػذد‬ ‫ضؼف‬ )5ٛٗ‫ٝغا‬17....................................................
‫ـــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ‬‫ــــــــ‬
: ‫االذٞح‬ ‫اىَؼادالخ‬ ‫زو‬ /2‫ط‬
1+‫ط‬ )3=92‫ط‬ )-5=8
3+‫ط‬ )9=114‫ط‬ )-4=12
5)5= ‫ط‬246‫ص‬ )-3=9
‫ذذسٝثاخ‬
‫ﻞ‬‫ﺎﻣ‬‫ﻛ‬‫ﺮ‬‫ﺎﺑ‬‫ﺟ‬‫ﻦ‬‫ﯾﻤ‬‫أ‬‫ﺮ‬‫ﺴﺘ‬‫ﻣ‬
‫ﻞ‬‫ﻣ‬‫ﻛﺎ‬‫ﺮ‬‫ﺎﺑ‬‫ﺟ‬‫ﻦ‬‫ﻤ‬‫أﯾ‬‫ﺮ‬‫ﺴﺘ‬‫ﻣ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

13. 13
7)2+ ‫ط‬8=248)4‫ص‬–3=29
.........................................................................................
.......................................................................................
.........................................................................................
........................................................................................
: ٜ‫اىؼقي‬ ‫تاىسغاب‬ ‫ط‬ ‫قَٞح‬ ‫أٗخذ‬ /3‫ط‬
1)24= ‫ط‬61×242)22= ‫ط‬ +9+22
.............................. =‫ط‬ ..........................=‫ط‬
3)42=2‫+ط‬×144)8×45( ‫ط‬ =35+14)
...............=‫ط‬.............................=‫ط‬ ........
5)6×14=6×+‫(ط‬5)6‫ط‬ )×7‫ط‬ +×54=2×57
...................................=‫ط‬ ............................=‫ط‬
‫ــــــــــــــــــــــــــــــــــــــ‬‫ـــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ‬
ٜ‫اىثاق‬ ُ‫فنا‬ ‫خْٖٞا‬ 24 ‫اىثائغ‬ ٜ‫ٗأػغ‬ , ‫خْٖٞا‬ ‫ط‬ ‫اى٘ازذ‬ ‫عؼش‬ ‫مشامٞو‬ 3 ٌ‫زاذ‬ ٛ‫اشرش‬ /4‫ط‬
ٌ‫زاذ‬ ‫ٍغ‬5‫خْٖٞاخ‬‫؟‬ ‫اى٘ازذ‬ ‫اىنشن٘ه‬ ‫عؼش‬ ‫ٗازغة‬ ‫ٍؼادىح‬ ‫ص٘سج‬ ٜ‫ف‬ ‫رىل‬ ِ‫ػ‬ ‫ػثش‬ ,
‫اىس‬‫يـــــــ‬
.......................................................................................................
.......................................................................................................
‫ﺪم‬‫ﻟﺘﻘ‬‫ا‬‫ﻨﻰ‬‫ﯾﻌ‬‫ﺳﻢ‬‫ا‬....‫ﻮط‬‫ﺳﯿ‬‫ﺑﺄ‬‫ﺛﺮ‬‫ﻜﻮ‬‫اﻟ‬‫ار‬‫د‬‫س‬‫ار‬‫ﻣﺪ‬
‫ﻛﺎﻣﻞ‬‫ﺟﺎﺑﺮ‬‫ﯾﻤﻦ‬‫أ‬

14. 14
: ‫اٌثاٌثح‬ ‫اٌٛحذج‬
‫ٚٚحذاذٙا‬ ‫اٌّساحح‬
‫اىَسٞظ‬ : ‫أٗال‬
: ‫ثاّٞا‬‫اىَغازح‬ ‫قٞاط‬ ‫ٗزذاخ‬:
-ٌ‫(م‬ ‫ٍشتغ‬ ‫ٍرش‬ ٘‫مٞي‬2
)=1111×1111=1111111‫م‬2
-ً( ‫ٍشتغ‬ ‫ٍرش‬2
= )144×144=14444ٌ‫ع‬2
-ٌ‫دٝغ‬ ( ‫ٍشتغ‬ ‫دٝغَٞرش‬2
= )14×14=144ٌ‫ع‬2
-‫عْرَٞرش‬ٌ‫(ع‬ ‫ٍشتغ‬2
= )14×14=144ٌٍ2
‫ذذس٠ثاخ‬
‫ط‬1/: ٟ‫٠أذ‬ ‫ِا‬ ًّ‫أو‬-
1)2َ2ُ‫د٠س‬ ............... =22)70000ُ‫س‬2َ ......... =2
3)3200ُِ2ُ‫س‬ ......... =24)4000000َ2ُ‫و‬ ........ =2
‫ط‬2( /1)ٗ‫ضٍؼ‬ ‫عٛي‬ ‫ِشتغ‬ ‫ِساحح‬ ‫أٚخذ‬6‫س‬. ُ
(2ٗ‫ِح١غ‬ ‫ِشتغ‬ )20. ٗ‫ِساحر‬ ‫أٚخذ‬ ُ‫س‬
................................................................................................
................................................................................................
................................................................................................
................................................................................................
ٔ‫أضالػ‬ ‫أع٘اه‬ ‫ٍدَ٘ع‬ =‫اىَثيث‬ ‫ٍسٞظ‬
‫اىضيغ‬ ‫ع٘ه‬ = ‫اىَشتغ‬ ‫ٍسٞظ‬×4‫اىَشتغ‬ ‫ٍسٞظ‬ = ‫اىَشتغ‬ ‫ضيغ‬ ‫ع٘ه‬ ‫ٍْٖٗا‬÷4
) ‫اىؼشض‬ + ‫اىغ٘ه‬ ( = ‫اىَغرغٞو‬ ‫ٍسٞظ‬×2
‫ّصف‬‫اىؼشض‬ + ‫اىغ٘ه‬ = ‫اىَغرغٞو‬ ‫ٍسٞظ‬
= ‫اىَشتغ‬ ‫ٍغازح‬
‫اىضيغ‬ ‫ع٘ه‬×
ٔ‫ّفغ‬‫اى‬ ‫ٍغازح‬‫َغرغٞو‬=
‫اىغ٘ه‬×‫اىؼشض‬
‫تش‬ٚ‫ض‬‫اىسٞاج‬ ٘‫ذسي‬ ِٝ‫اى٘اىذ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬
‫ﻞ‬‫ﻣ‬‫ﺎ‬‫ﻛ‬‫ﺮ‬‫ﺑ‬‫ﺎ‬‫ﺟ‬‫ﻦ‬‫ﻤ‬‫ﯾ‬‫أ‬

15. 15
:‫ذذسٝثاخ‬
]1[: ‫اٟذٞح‬ ‫اىَثيثاخ‬ ٍِ ‫مو‬ ‫ٍغازح‬ ‫ازغة‬
ً‫اٌح‬
]2[ٔ‫قاػذذ‬ ‫ع٘ه‬ ٙ‫اىز‬ ‫اىَثيث‬ ‫ٍغازح‬ ‫أٗخذ‬14ٔ‫ٗاسذفاػ‬ ٌ‫ع‬6. ٌ‫ع‬
...........................................................................................................
]3[ٔ‫قاػذذ‬ ‫ع٘ه‬ ٙ‫اىز‬ ‫اىَثيث‬ ‫ٍغازح‬ ‫أٗخذ‬5‫اىَْاظش‬ ‫ٗاالسذقاع‬ ٌ‫ع‬6. ٌ‫ع‬
...........................................................................................................
1
2
‫اىَثيث‬ ‫ٍغازح‬
3ٌ‫ع‬
4ٌ‫ع‬
5ٌ‫ع‬
5ٌ‫ع‬
5ٌ‫ع‬
4ٌ‫ع‬
6ٌ‫ع‬
‫أ‬‫ب‬
3ٌ‫ع‬
3‫سن‬ 1‫سن‬
5‫سن‬
2×‫اىَغازح‬
‫االسذفاع‬
2×‫اىَغازح‬
‫اىقاػذج‬
‫االسذفاع‬=
‫ع٘ه‬= ‫اىقاػذج‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

16. 16
4[ٔ‫قاػذذ‬ ‫ع٘ه‬ ‫ٍثيث‬ ‫اىَغازح‬ ٚ‫ف‬ ‫امثش‬ ‫اَٖٝا‬6ٔ‫ٗاسذفاػ‬ ٌ‫ع‬5‫ٍغرغٞو‬ ً‫ا‬ ,ٌ‫ع‬
ٔ‫ع٘ى‬8ٔ‫ٗػشض‬ ٌ‫ع‬3ٌ‫ع‬
...........................................................................................................
..........................................................................................................
..........................................................................................................
]5[ٔ‫قاػذذ‬ ‫ع٘ه‬ ٙ‫اىز‬ ‫اىَثيث‬ ‫ٍغازح‬ ‫أٗخذ‬14ٔ‫ٗاسذفاػ‬ ٌ‫ع‬7. ٌ‫ع‬
...........................................................................................................
...........................................................................................................
]6[ٔ‫قاػذذ‬ ‫ع٘ه‬ ٙ‫اىز‬ ‫اىَثيث‬ ‫ٍغازح‬ ‫اٗخذ‬2,3‫اىَْاظش‬ ‫ٗاالسذفاع‬ , ٌ‫ع‬6. ٌ‫ع‬
...........................................................................................................
...........................................................................................................
]7[ٔ‫ع٘ى‬ ‫ٍغرغٞو‬ ‫اىَغازح‬ ٚ‫ف‬ ‫امثش‬ ‫اَٖٝا‬12ٔ‫ٗػشض‬ ٌ‫ع‬7ٌ‫قائ‬ ‫ٍثيث‬ ً‫ا‬ ٌ‫ع‬
‫ع٘ال‬ ‫اىضاٗٝح‬ٔ‫قائَر‬ ٚ‫ضيؼ‬8, ٌ‫ع‬15. ٌ‫ع‬
...........................................................................................................
...........................................................................................................
...........................................................................................................
]8[ٔ‫قاػذذ‬ ‫ع٘ه‬ ‫ٍثيث‬ ‫اىَغازح‬ ٚ‫ف‬ ‫امثش‬ ‫اَٖٝا‬4,5ٔ‫ٗاسذفاػ‬ ‫دٝغَٞرش‬3,‫دٝغَٞثش‬
‫أ‬‫ٍغرغٞو‬ ًٔ‫ع٘ى‬28ٔ‫ٗػشض‬ ٌ‫ع‬19. ٌ‫ع‬
...........................................................................................................
...........................................................................................................
[9ٔ‫ٍغازر‬ ‫ٍغرغٞو‬ ‫ء‬ ‫خـ‬ ‫ب‬ ‫أ‬ : ‫اىَقاتو‬ ‫اىشنو‬ ٜ‫ف‬ ]828ٌ‫ع‬2,
‫ٕـ‬, ‫خـ‬ ‫ب‬
= ‫أء‬23ٌ‫ع‬= ‫ٕـ‬ ‫ب‬ ,35‫ٕـ؟‬ ‫خـ‬ ‫ء‬ ‫اىَثيث‬ ‫ٍغازح‬ ‫أٗخذ‬ , ٌ‫ع‬
...............................................................
...............................................................
...........................................................
.................................................
‫أ‬
‫ب‬
‫خـ‬
‫ء‬
‫ٕـ‬
23ٌ‫ع‬
35ٌ‫ع‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬

17. 17
‫االضالع‬ ٙ‫ٍر٘اص‬ ‫ٍغازح‬
= ‫اٌماػذج‬ ‫عٛي‬= ‫اإلسذفاع‬
: ٟ‫٠أذ‬ ‫ِّا‬ ‫ًا‬ٍ‫و‬ ٟ‫ف‬ ‫األضالع‬ ٜ‫ِرٛاص‬ ‫ِساحح‬ ‫أٚخذ‬-
‫الحل‬...........................................................................................
..............................................................................................
................................................................................................
................................................................................................
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................................................................................................
................................................................................................
................................................................................................
................................................................................................
................................................................................................
‫األضالع‬ ٜ‫ِرٛاص‬ ‫ِساحح‬
‫اإلسذفاع‬
‫األضالع‬ ٜ‫ِرٛاص‬ ‫ِساحح‬
‫اٌماػ‬ ‫عٛي‬‫ذج‬
‫ذذسٝثاخ‬
‫أ‬
‫ب‬
‫خـ‬
‫ء‬
6ٌ‫ع‬
‫أ‬
‫ب‬
‫خـ‬
‫ء‬‫أ‬
‫ب‬
‫خـ‬
‫ء‬
5ٌ‫ع‬
8ٌ‫ع‬
6ٌ‫ع‬
‫ٕـ‬8ٌ‫ع‬
9ٌ‫ع‬
4ٌ‫ع‬
7ٌ‫ع‬
‫ٕـ‬
‫ٕـ‬
‫ألفىاسن‬ ‫أٔالح‬ ‫ٌسأه‬ ‫أٔالح‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

18. 18
]2[ٔ‫قاػذذ‬ ‫ع٘ه‬ ‫اضالع‬ ٙ‫ٍر٘اص‬12‫اىَْاظش‬ ٔ‫ٗاسذفاػ‬ , ٌ‫ع‬7ٔ‫ٍغازر‬ ‫اٗخذ‬ . ٌ‫ع‬
...........................................................................................................
...........................................................................................................
]3[‫أ‬‫َٖٝا‬‫أ‬ٔ‫قاػذذ‬ ‫ع٘ه‬ ‫اضالع‬ ٙ‫ٍر٘اص‬ ‫اىَغازح‬ ٚ‫ف‬ ‫مثش‬7,15ٔ‫ٗاسذفاػ‬ ٌ‫ع‬7,9
ً‫أ‬ , ٌ‫ع‬ٔ‫قاػذذ‬ ‫ع٘ه‬ ‫ٍثيث‬14ٔ‫ٗاسذفاػ‬ ٌ‫ع‬18. ٌ‫ع‬
...........................................................................................................
...........................................................................................................
...........................................................................................................
]4[ٙ‫ٍر٘اص‬‫أ‬ٔ‫ٍغازر‬ ‫ضالع‬44ٌ‫ع‬2
ٔ‫قاػذذ‬ ‫ٗع٘ه‬8‫أ‬ .ٌ‫ع‬‫اىَْاظش‬ ‫األسذفاع‬ ‫ٗخذ‬
‫اى‬ ٓ‫ىٖز‬.‫قاػذج‬
...........................................................................................................
..........................................................................................................
...........................................................................................................
...........................................................................................................
]5[
ٜ‫ف‬: ‫اىَقاتو‬ ‫اىشنو‬
= ‫ب‬ ‫أ‬ ٔٞ‫ف‬ ‫أضالع‬ ٙ‫ٍر٘اص‬ ‫ء‬ ‫خـ‬ ‫ب‬ ‫أ‬14ٌ‫ع‬
= ‫ٕـ‬ ‫ء‬12ٌ‫ع‬= ٗ ‫ء‬ ,8‫أٗخذ‬ . ٌ‫ع‬
(1)‫األضالع‬ ٙ‫ٍر٘اص‬ ‫ٍغازح‬
(2)‫خـ‬ ‫ب‬ ‫ع٘ه‬
‫اٌحٍـــــــــــــــــــــــــــــــــــــــــــــــــــ‬
................................................................................................
................................................................................................
................................................................................................
................................................................................................
‫أ‬
‫ب‬‫خـ‬
‫ٕـ‬
ٗ
‫ء‬
14ٌ‫ع‬
12ٌ‫ع‬
8ٌ‫ع‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫ﻞ‬‫ﻣ‬‫ﻛﺎ‬‫ﺮ‬‫ﺑ‬‫ﺟﺎ‬‫ﻦ‬‫ﻤ‬‫ﯾ‬‫أ‬
‫ﻞ‬‫ﻣ‬‫ﻛﺎ‬‫ﺮ‬‫ﺎﺑ‬‫ﺟ‬‫ﻦ‬‫ﻤ‬‫أﯾ‬

19. 19
ٖ‫لغش‬ ‫تّؼٍِٛ١ح‬ ‫اٌّشتغ‬ ‫ِساحح‬
=‫اىَشتغ‬ ‫ٍغازح‬×‫اىقغش‬ ‫ع٘ه‬×‫اىقغش‬ ‫ع٘ه‬
=‫اٌضٍغ‬ ‫عٛي‬×ٗ‫ٔفس‬
:‫ذذسٝثاخ‬
(1ٓ‫قغش‬ ‫ع٘ه‬ ٙ‫اىز‬ ‫اىَشتغ‬ ‫ٍغازح‬ ‫أٗخذ‬ )2,4. ٌ‫ع‬
...........................................................................................................
..........................................................................................................
(2ٔ‫ضيؼ‬ ‫ع٘ه‬ ٙ‫اىز‬ ‫اىَشتغ‬ ‫ٍغازح‬ ‫أٗخذ‬ )7. ٌ‫ع‬
...........................................................................................................
..........................................................................................................
(3ٔ‫ٍسٞغ‬ ٙ‫اىز‬ ‫اىَشتغ‬ ‫ٍغازح‬ ‫أٗخذ‬ )12. ٌ‫ع‬
...........................................................................................................
..........................................................................................................
(4ٓ‫قغش‬ ‫ع٘ه‬ ‫ٍشتغ‬ ‫اىَغازح‬ ٚ‫ف‬ ‫أمثش‬ ‫اَٖٝا‬ )12ٌ‫ع‬ً‫ا‬ٔ‫قاػذذ‬ ‫ع٘ه‬ ‫اضالع‬ ٙ‫ٍر٘اص‬
15ٌ‫ع‬‫ٗاالسذفاع‬7. ٌ‫ع‬
...........................................................................................................
..........................................................................................................
(5ٓ‫قغش‬ ‫ع٘ه‬ ‫ٍشتغ‬ ‫اىَغازح‬ ٚ‫ف‬ ‫أمثش‬ ‫أَٖٝا‬ )14‫ٍثيث‬ ً‫ا‬ ٌ‫ع‬ٚ‫ضيؼ‬ ‫ع٘ال‬ ‫اىضاٗٝح‬ ٌ‫قائ‬
ٔ‫قائَر‬8, ٌ‫ع‬5. ٌ‫ع‬
...........................................................................................................
..........................................................................................................
(6‫قغشٕا‬ ‫ع٘ه‬ ‫اىشنو‬ ‫ٍشتؼح‬ ‫اسض‬ ‫قغؼح‬ )28‫تذاخ‬ ْٚ‫ت‬ ‫ٍرش‬‫اىشنو‬ ‫ٍشتغ‬ ‫ٍْضه‬ ‫يٖا‬
ٔ‫ضيؼ‬ ‫ع٘ه‬15‫ٗصس‬ ‫ٍرش‬‫اىسذٝقح‬ ٓ‫ٕز‬ ‫ٍغازح‬ ‫أٗخذ‬ .‫ىيَْضه‬ ‫زذٝقح‬ ‫اىثاقٞح‬ ‫اىَْغقح‬ ‫ػد‬
.................................................................................................
................................................................................................
................................................................................................
1
2
‫الونسل‬
‫الحديقة‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬

20. 21
ٔٝ‫قغش‬ ‫ع٘ال‬ ‫تَؼيٍ٘ٞح‬ ِٞ‫اىَؼ‬ ‫ٍغازح‬
= ِٞ‫اىَؼ‬ ‫ٍغازح‬×ٔٝ‫قغش‬ ‫ع٘ال‬ ‫ضشب‬ ‫زاصو‬
: ‫ذذسٝثاخ‬
1ٗ٠‫لغش‬ ‫عٛال‬ ٓ١‫ِؼ‬ ‫ِساحح‬ ‫أٚخذ‬ )6, ُ‫س‬8ُ‫س‬
................................................................................................
................................................................................................
2ٗ‫ِساحر‬ ٓ١‫ِؼ‬ )15ُ‫س‬2ٗ٠‫لغش‬ ‫أحذ‬ ‫ٚعٛي‬5. ‫األخش‬ ‫اٌمغش‬ ‫عٛي‬ ‫أٚخذ‬ ُ‫س‬
................................................................................................
................................................................................................
3)ٗ٠‫لغش‬ ‫عٛال‬ ٓ١‫ِؼ‬ ‫اٌّساحح‬ ‫ح١ث‬ ِٓ ‫أوثش‬ ‫أ٠ّٙا‬8, ُ‫س‬6ٜ‫ِرٛاص‬ َ‫أ‬ ُ‫س‬
ٗ‫لاػذذ‬ ‫عٛي‬ ‫أضالع‬10‫ٌٍماػذج‬ ‫إٌّاظش‬ ٗ‫ٚاسذفاػ‬ ُ‫س‬5‫اٌفشق‬ ‫احسة‬ ُ‫ث‬ . ُ‫س‬
ٕٙ١‫ت‬. ‫ّا‬
................................................................................................
................................................................................................
................................................................................................
4)ٗ٠‫لغش‬ ‫عٛال‬ ٓ١‫ِؼ‬ ‫اٌّساحح‬ ٟ‫ف‬ ‫أوثش‬ ‫أ٠ّٙا‬6, ُ‫س‬8ٖ‫لغش‬ ‫عٛي‬ ‫ِشتغ‬ َ‫أ‬ ُ‫س‬8
‫؟‬ ُ‫س‬
................................................................................................
................................................................................................
................................................................................................
4ٗ‫لاػذذ‬ ‫عٛي‬ ‫ِثٍث‬ ‫اٌّساحح‬ ٟ‫ف‬ ‫أوثش‬ ‫أ٠ّٙا‬ )12ٗ‫ٚاسذفاػ‬ ُ‫س‬8ٜ‫ِرٛاص‬ َ‫أ‬ ُ‫س‬
ٗ‫لاػذذ‬ ‫عٛي‬ ‫أضالع‬10ٗ‫ٚاسذفاػ‬ ُ‫س‬5ُ‫س‬.
................................................................................................
................................................................................................
................................................................................................
1
2
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

21. 21
‫اٌذائشج‬ ‫ِح١ظ‬
: ‫اٌذائشج‬ ‫ِح١ظ‬
‫اٌذائشج‬ ً‫٠ّث‬ ٜ‫اٌز‬ ‫اٌّغٍك‬ ٕٝ‫إٌّح‬ ‫اٌخظ‬ ‫عٛي‬ ٛ٘
= ‫اٌذائشج‬ ‫ِح١ظ‬π×= ‫اٌمغش‬ ‫عٛي‬2π‫ٔك‬
ٌ‫ا‬ ‫ٔصف‬ ‫عٛي‬ ٛ٘ ‫ٔك‬ ‫ح١ث‬‫مغش‬π=3,14ٚ‫أ‬
‫ذذس٠ثاخ‬/ / ‫اٌراس٠خ‬
1‫لغش٘ا‬ ‫عٛي‬ ‫دائشج‬ )14( ‫ِح١غٙا‬ ‫أٚخذ‬ ُ‫س‬π) =
.........................................................................................................................................
2)‫لغش٘ا‬ ‫ٔصف‬ ‫عٛي‬ ‫دائشج‬21( ‫ِح١غٙا‬ ‫أٚخذ‬ ُ‫س‬π) =
.........................................................................................................
3‫ٍسٞغٖا‬ ‫دائشج‬ )88( . ‫قغشٕا‬ ‫ّصف‬ ‫ع٘ه‬ ‫أٗخذ‬ ٌ‫ع‬π=)
..........................................................................................................
4‫دساخح‬ ‫ػديح‬ ‫قغش‬ ‫ع٘ه‬ ‫ماّد‬ ‫إرا‬ )35‫إرا‬ ‫اىذساخح‬ ‫ذقغؼٖا‬ ٜ‫اىر‬ ‫اىَغافح‬ ‫فأٗخذ‬ ٌ‫ع‬
‫اىؼديح‬ ‫داسخ‬144( ‫تاىَرش‬ ‫دٗسج‬π) =
...........................................................................................................
...........................................................................................................
...........................................................................................................
22
7
22
7
22
7
22
7
22
7
‫ز٘ىل‬ ‫ٗأصساتل‬ ‫أزثائل‬ ‫فأخَغ‬ ‫ٗقغَح‬ ‫ٗعشذ‬ ‫خَغ‬ ‫اىسٞاج‬ ُ‫إ‬
ٌٖٞ‫ػي‬ ٛٗ‫تاىرغا‬ ‫زثل‬ ٌ‫ٗقغ‬ ‫ٗاىثخو‬ ‫األّاّٞح‬ ‫ّفغل‬ ٍِ ‫ٗأعشذ‬
ُ‫إّغا‬ ‫اعؼذ‬ ‫ػْذئز‬ ‫ذصثر‬
‫ﻖ‬‫ﻮﻓ‬‫ﻟﺘﻔ‬‫ا‬‫ﻰ‬‫ﻌﻨ‬‫ﯾ‬‫ﺳﻢ‬‫ا‬‫ط‬‫ﯿﻮ‬‫ﺳ‬‫ﺑﺄ‬‫ﺛﺮ‬‫ﻜﻮ‬‫اﻟ‬‫ار‬‫د‬‫س‬‫ار‬‫ﻣﺪ‬

22. 22
5: ‫اىَقاتو‬ ‫اىشنو‬ ‫ٍسٞظ‬ ‫ازغة‬ )
= ً ‫أ‬ ‫زٞث‬35( , ٌ‫ع‬π) =
...................................................................
..................................................................
.........................................................................................................................................
.........................................................................................................................................
6‫قغشٕا‬ ‫ع٘ه‬ ‫دساخح‬ ‫ػديح‬ )56‫ػْذ‬ ‫اىؼديح‬ ‫ذقغؼٖا‬ ٜ‫اىر‬ ‫اىَغافح‬ ‫ازغة‬ ٌ‫ع‬
‫ٍغافح‬ ‫ىرقغغ‬ ‫اىؼديح‬ ‫ذذٗسٕا‬ ٜ‫اىر‬ ‫اىذٗساخ‬ ‫ػذد‬ ‫ٍٗا‬ ‫ماٍيح‬ ‫دٗسج‬ ‫دٗساّٖا‬352‫ٍرش‬
( ‫زٞث‬π) =
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
7)ٔ‫ضيؼ‬ ‫ع٘ه‬ ‫ٍشتغ‬ ‫شنو‬ ٚ‫ػي‬ ‫ّافزج‬74ٌ‫ع‬
‫ازغة‬ ‫تاىشنو‬ ‫مَا‬ ‫دائشج‬ ‫ّصف‬ ٓ٘‫ٝؼي‬
1‫اىْافزج‬ ‫ٍسٞظ‬ )
2‫اىْافزج‬ ‫ٍغازح‬ ‫ماّد‬ ‫إرا‬ )8754ٌ‫ع‬2‫ٍغاز‬ ‫فأٗخذ‬‫ح‬
‫اىذائشج‬ ‫ّصف‬
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
8): ‫اىَقاتو‬ ‫اىشنو‬
ً‫قذ‬ ‫مشج‬ ‫ٍيؼة‬ ‫َّ٘رج‬ ِٞ‫ٝث‬
( ‫زٞث‬ ٔ‫ٍسٞغ‬ ‫ازغة‬π) =
‫اىسو‬
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
22
7
‫أ‬ً‫ب‬
22
7
74ٌ‫ع‬
22
7
14ٌ‫ع‬
28ٌ‫ع‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬

23. 23
‫اىْٖذعٞح‬ ‫:اىرس٘ٝالخ‬ ‫اىشاتؼح‬ ‫اى٘زذج‬
. ِٞ‫ٍرغاتق‬ ٗ‫ا‬ ِٞ‫ٍرَاثي‬ ِٞ‫خضئ‬ ٚ‫اى‬ ‫اىشنو‬ ٌ‫ٝقغ‬ ٙ‫اىز‬ ‫اىخظ‬ ٕ٘ : ‫اىرَاثو‬ ‫ٍس٘س‬ *
‫امثش‬ ٗ‫ا‬ ‫ذَاثو‬ ‫ٍس٘س‬ ‫ىٖا‬ ٚ‫اىر‬ ‫االشناه‬ ٕٚ :‫اىَرَاثيح‬ ‫*االشناه‬–
.ِٞ‫اىَغرغٞو,اىَؼ‬ ,‫اىَشتغ‬ ‫ٍثو‬
‫اىَرَاث‬ ‫غٞش‬ ‫*االشناه‬‫ذَاثو‬ ‫ٍس٘س‬ ‫ىٖا‬ ‫ىٞظ‬ ٚ‫اىر‬ ٕٚ :‫يح‬-ٔ‫ٗشث‬ ‫االضالع‬ ٙ‫ٍر٘اص‬ ‫ٍثو‬
‫اىَْسشف‬
]1[: ٚ‫ٝأذ‬ ‫ٍا‬ ‫امَو‬
(1. ............ ِٞ‫اىَؼ‬ ‫ذَاثو‬ ‫ٍساٗس‬ ‫ػذد‬ )
(2. ............ ‫اىَغرغٞو‬ ‫ذَاثو‬ ‫ٍساٗس‬ ‫ػذد‬ )
(3........ ‫اىَشتغ‬ ٚ‫ف‬ ‫اىرَاثو‬ ‫خغ٘ط‬ ‫ػذد‬ ). ..
(4. .............. , ............., .......... ‫اىْٖذعٞح‬ ‫اىرس٘ٝالخ‬ ‫اّ٘اع‬ ٍِ )
(5. ................ ‫اشناه‬ ‫ذؼرثش‬ ‫ذَاثو‬ ‫ٍس٘س‬ ‫ىٖا‬ ٚ‫اىر‬ ‫االشناه‬ )
(6. .................. ‫االضالع‬ ٙٗ‫اىرغا‬ ‫اىَثيث‬ ‫ذَاثو‬ ‫ٍساٗس‬ ‫ػذد‬ )
(7ٞ‫اىغاق‬ ٙٗ‫اىَرغا‬ ‫اىَْسشف‬ ٔ‫شث‬ ‫ذَاثو‬ ‫ٍساٗس‬ ‫ػذد‬ ). ............ ِ
(8. ................ ِٞ‫خضئ‬ ٚ‫اى‬ َٔ‫ٝقغ‬ ّٔ‫فا‬ ‫ىيشنو‬ ‫ذَاثو‬ ‫ٍس٘س‬ ‫ٗخذ‬ ‫ارا‬ )
(9. ............. َٚ‫ٝغ‬ ِٞ‫ٍرغاتق‬ ِٞ‫خضئ‬ ٚ‫اى‬ ‫شنو‬ ٙ‫ا‬ ٌ‫ٝقغ‬ ٙ‫اىز‬ ‫اىخظ‬ )
(14(‫أ‬ ُ‫ما‬ ‫ارا‬ )2,3(‫ب‬ , )2,7. )........ , ......( ‫خـ‬ ‫اىْقغح‬ ٕٚ ‫أب‬ ‫ٍْرصف‬ ُ‫فإ‬ )
‫اىشنو‬ ٌ‫اع‬‫خغ٘ط‬ ‫ػذد‬
‫اىرَاثو‬
‫اىشنو‬ ٌ‫اع‬‫خغ٘ط‬ ‫ػذد‬
‫اىرَاثو‬
‫اىَشتغ‬4‫اىَْسشف‬ ٔ‫شث‬‫صفش‬
‫اىَغغٞو‬2ٙٗ‫ٍرغا‬ ‫اىَْسشف‬ ٔ‫شث‬
ِٞ‫اىغاق‬
1
ِٞ‫اىَؼ‬2‫االضالع‬ ٙٗ‫ٍرغا‬ ‫اىَثيث‬3
‫االضالع‬ ٙ‫ٍر٘اص‬‫صفش‬ٙٗ‫ٍرغا‬ ‫اىَثيث‬ِٞ‫اىغاق‬1
‫اىذائشج‬‫خذا‬ ‫مثٞش‬ ‫ػذد‬‫االضالع‬ ‫ٍخريف‬ ‫اىَثيث‬‫صفش‬
ُ‫أ‬ ‫ذزمش‬
‫ذ‬‫ذ‬‫سٝثاخ‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬

24. 24
: ‫اىْٖذعٞح‬ ‫اىرس٘ٝالخ‬ُ‫اىذٗسا‬ , ‫االّرقاه‬ , ‫االّؼناط‬
: ‫االّؼناط‬ٝ‫اىْقغح‬ ٚ‫اى‬ ٙ٘‫اىَغر‬ ٚ‫ف‬ ‫أ‬ ‫ّقغح‬ ‫مو‬ ‫س٘ه‬. ٙ٘‫اىَغر‬ ‫ّفظ‬ ٚ‫ف‬
: ‫ذذسٝثاخ‬
]1[( ‫أ‬ ‫اىْقظ‬ ‫زذد‬ ِٝ‫اىثؼذ‬ ٙ‫ر‬ ٚ‫االزذاث‬ ٙ٘‫اىَغر‬ ٚ‫ف‬3,5)(‫ب‬ ,6,5(‫خـ‬ , )3,2)
ٌ‫اسع‬ ٌ‫ث‬. ‫خـ‬ ‫أ‬ ٚ‫ف‬ ‫تاالّؼناط‬ ٔ‫ص٘سذ‬
]2[‫اىَثيث‬ ٌ‫اسع‬(‫أ‬ ٔٞ‫ف‬ ٙ‫اىز‬ ‫خـ‬ ‫ب‬ ‫أ‬2,5(‫ب‬ , )5,2( ‫خـ‬ , )5,8ٌ‫اسع‬ ٌ‫ث‬ )
ٔ‫ص٘سذ‬. ‫خـ‬ ‫ب‬ ٚ‫ف‬ ‫تاالّؼناط‬

25. 25
]3[‫اىْقاط‬ ‫ٍ٘ضغ‬ ‫زذد‬ ِٝ‫اىثؼذ‬ ٙ‫ر‬ ٚ‫االزذاث‬ ٙ٘‫اىَغر‬ ٚ‫ف‬(‫أ‬5,4(‫ب‬ , )9,4‫,خـ‬ )
(9,4)(‫د‬ ,5,4. ‫د‬ ‫أ‬ ٚ‫ف‬ ‫تاالّؼناط‬ ٔ‫ص٘سذ‬ ‫اٗخذ‬ ٌ‫ث‬ . ‫د‬ ‫خـ‬ ‫ب‬ ‫أ‬ ‫اىشنو‬ ٌ‫اسع‬ . )
]4[( ‫أ‬ ‫اىْقظ‬ ‫زذد‬ ِٝ‫اىثؼذ‬ ٙ‫ر‬ ٚ‫االزذاث‬ ٙ٘‫اىَغر‬ ٚ‫ف‬3,4( ‫ب‬ , )5,4( ‫خـ‬ , )4,5)
,
( ‫د‬4,3. ‫د‬ ‫خـ‬ ‫ب‬ ‫أ‬ ‫اىشنو‬ ‫ٍغازح‬ ‫ازغة‬ . )
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬ ‫ﻣﺴﺘﺮ‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬

26. 26
‫اإلحصاء‬–ٜ‫اٌرىشاس‬ ‫اٌّذسج‬–ٜ‫اٌرىشاس‬ ‫اٌّضٍغ‬
‫اٌث١أاخ‬ ‫خّغ‬ ‫ٚأدٚاخ‬ ‫أساٌ١ة‬(ً١‫ٚاٌرسد‬ ‫اٌؼذ‬–‫اٌم١اط‬–‫اسر‬) ٞ‫اٌشأ‬ ‫غالع‬
: ‫ذذس٠ثاخ‬
(1)‫دسخاخ‬ ِٞ‫ٝث‬ ٚ‫اىراى‬ ‫اىدذٗه‬54‫اىشٝاضٞاخ‬ ُ‫اٍرسا‬ ٚ‫ف‬ ‫عاىة‬‫اىذسخح‬ ‫زٞث‬
َٚ‫اىؼظ‬54‫َٝثو‬ ٙ‫اىز‬ ٙ‫اىرنشاس‬ ‫ٗاىَضيغ‬ ٙ‫اىرنشاس‬ ‫اىَذسج‬ ٌ‫اسع‬ ‫دسخح‬
‫اىثٞاّاخ‬ ٓ‫ٕز‬
‫اىَدَ٘ػاخ‬14-24-34-34-‫اىَدَ٘ع‬
‫اىرنشاس‬1412181454
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

27. 27
(2‫ػَو‬ ‫عاػاخ‬ ‫ىؼذد‬ ٙ‫اىرنشاس‬ ‫اىر٘صٝغ‬ ٜ‫ٝي‬ ‫فَٞا‬ )54‫ػاٍو‬
‫اىَدَ٘ػاخ‬2-4-6-8-14-‫اىَدَ٘ع‬
‫اىرنشاس‬891516254
. ٙ‫اىرنشاس‬ ‫تاىَضيغ‬ ‫اىثٞاّاخ‬ ٓ‫ٕز‬ ‫ٍثو‬
(ٗ‫أ‬ ٗ‫أ‬ٗ‫أ‬)

‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

28. 28
‫اٌذائش٠ح‬ ‫اٌمغاػاخ‬
: ٜ‫اٌذائش‬ ‫اٌمغاع‬. ‫ٚلٛط‬ ٓ٠‫لغش‬ ٝ‫ٔصف‬ ٓ١‫ت‬ ‫ِحصٛس‬ ‫اٌذائشج‬ ‫سغح‬ ِٓ ‫خضء‬ ٛ٘
ً‫٠ّث‬ ًٍ‫اٌّظ‬ ‫اٌدضء‬ً‫٠ّث‬ ًٍ‫اٌّظ‬ ‫اٌدضء‬ً‫٠ّث‬ ًٍ‫اٌّظ‬ ‫اٌدضء‬
‫اٌذائشج‬ ‫سغح‬ ‫اٌذائشج‬ ‫سغح‬‫اٌذائشج‬ ‫سغح‬
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
)ٟ‫ذٛض١ح‬ ‫(ِثاي‬ *
‫اشرش‬ٜ‫ػّاس‬ٚ‫أحّذ‬ٚ‫ِحّذ‬‫ثّٕٙا‬ ‫فغ١شج‬24ٗ١ٕ‫خ‬‫دفغ‬‫ػّاس‬12ٚ ‫خٕ١ٙا‬‫أحّذ‬8
‫خٕ١ٙاخ‬. ٝ‫اٌثال‬ ‫دفغ‬ ‫ِٚحّذ‬
ً‫اٌح‬/ٗ‫دفؼر‬ ‫ِا‬‫ِحّذ‬=24–(12+8= )4‫خٕ١ٙاخ‬
‫ٔص١ة‬‫ػّاس‬. ‫اٌفغ١شج‬ = ‫اٌفغ١شج‬ ِٓ =
‫ٔص١ة‬‫أحّذ‬=‫اٌفغ١شج‬ =
‫ٔص١ة‬‫ِحّذ‬==‫اٌفغ١شج‬.
: ‫ذذس٠ثاخ‬
1‫أز‬ ‫ٝصشف‬ ): ٜ‫اىراى‬ ٘‫اىْس‬ ٜ‫ػي‬ ٛ‫اىشٖش‬ ٔ‫ساذث‬ ِٞ‫اىَ٘ظف‬ ‫ذ‬
1444ً‫عؼا‬ ‫ششاء‬ ْٔٞ‫خ‬
544‫ٍالتظ‬ ‫ششاء‬
254‫شقح‬ ‫اٝداس‬ ْٔٞ‫خ‬
254ٛ‫أخش‬ ‫ٍصاسٝف‬ ْٔٞ‫خ‬
‫اىَداٗسج‬ ‫اىذائشٝح‬ ‫اىقغاػاخ‬ ٜ‫ػي‬ ‫اىثٞاّاخ‬ ‫ذيل‬ ‫ٍثو‬
1
4
1
2
1
3
12
24
1
2
1
3
1
6
8
24
4
24
‫عوار‬
‫أحود‬
‫هحود‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬

29. 29
2)ٖ‫٘ز‬ ً‫ِث‬ , ‫اٌش٠اض١ح‬ ‫األٌؼاب‬ ْٛ‫٠ّاسس‬ ٓ٠‫اٌز‬ ‫اٌغٍثح‬ ‫أػذاد‬ ً‫٠ّث‬ ٝ‫ا٢ذ‬ ‫اٌدذٚي‬
‫اٌث١أا‬‫اٌّداٚس‬ ُ‫اٌشس‬ ٍٝ‫ػ‬ ‫اٌذائش٠ح‬ ‫اٌمغاػاخ‬ َ‫تاسرخذا‬ ‫خ‬
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
3‫ِساحرٙا‬ ‫ِضسػح‬ )24‫٠ّثٍٙا‬ ً١‫ٚإٌخ‬ ‫ٚاٌخضشٚاخ‬ ‫تاٌفاوٙح‬ ‫ِضسٚػح‬ ‫ًا‬ٔ‫فذا‬
ً‫اٌّمات‬ ً‫اٌشى‬
: ‫أكمل‬
(1‫وا‬ ‫إرا‬ )‫تاٌخضشٚاخ‬ ‫اٌّضسٚػح‬ ‫اٌّساحح‬ ‫ٔد‬
ٝ٘12............ ُ‫اٌشل‬ ‫٠ّثٍٙا‬ ٗٔ‫فإ‬ ‫ًا‬ٔ‫فذا‬
(2ُ‫سل‬ ‫اٌمغاع‬ ً‫٠ّث‬ )4‫تاٌفاوٙح‬ ‫اٌّضسٚػح‬ ‫اٌّساحح‬
. ‫ًا‬ٔ‫فذا‬ ............ ٗ‫ِساحر‬ ْٛ‫فرى‬
(3‫ِساحح‬ = ‫تاٌض٘ٛس‬ ‫اٌّضسٚع‬ ‫اٌدضء‬ ‫ِساحح‬ )
ًٔ‫فذا‬ ........... = ً١‫تإٌخ‬ ‫اٌّضسٚع‬ ‫اٌدضء‬. ‫ا‬
‫اىيؼثح‬ً‫اىقذ‬ ‫مشج‬‫اىغيح‬ ‫مشج‬‫مشج‬
‫عائشج‬
‫اىؼذد‬241414
1
2
3
4
‫اﻟﺘﻔﻮﻓﻖ‬ ‫ﯾﻌﻨﻰ‬ ‫اﺳﻢ‬ ‫ﺑﺄﺳﯿﻮط‬ ‫اﻟﻜﻮﺛﺮ‬ ‫دار‬ ‫ﻣﺪارس‬
‫ﻛﺎﻣﻞ‬ ‫ﺟﺎﺑﺮ‬ ‫أﯾﻤﻦ‬

30. 31
‫ﻓﻖ‬‫ﺘﻔﻮ‬‫اﻟ‬‫ﻨﻰ‬‫ﯾﻌ‬‫ﺳﻢ‬‫ا‬‫ﻮط‬‫ﺄﺳﯿ‬‫ﺑ‬‫ﻮﺛﺮ‬‫اﻟﻜ‬‫دار‬‫س‬‫ﺪار‬‫ﻣ‬