ﺔﻴﻨﻁﻭﻟﺍ ﺔﻴﺒﺭﺘﻟﺍ ﺓﺭﺍﺯﻭ
ﺩﻌﺒ ﻥﻋ ﻥﻴﻭﻜﺘﻟﺍ ﻭ ﻡﻴﻠﻌﺘﻠﻟ ﻲﻨﻁﻭﻟﺍ ﻥﺍﻭﻴﺩﻟﺍ ﻯﻭـﺘﺴﻤﻟﺍ ﻥﺎﺤﺘﻤﺍ ﺔﺒﺎﺠﺇ ﻡﻴﻤﺼﺘ
– ﻱﺎــﻤ ﺓﺭﻭﺩ 2009
ﻯﻭﺘﺴﻤﻟﺍ :
ﺔﺜﻟﺎﺜﻟﺍ ﻁﺴﻭﺘﻤ ﺓﺩﺎﻤﻟﺍ
: ﺕﺎﻴﻀﺎﻴﺭ
ﻦﻳﺮﻤﺘﻟا ) 1 ( :
1
( 10 10 7
26 10 182
6
5 = ×
×
×
−
= −
A أ ، ي : A = 70 ...
2 ن
2
( 10-4
× 0,00028 = 0,03836 ×
10-4
× B = 137 يأ ،
: 10-6 × B = 3,836 ...
2 ن
ﻦﻳﺮﻤﺘﻟا ) 2 ( :
1
( ﻂﻴﺴﺒﺘﻟا و ﺮﺸﻨﻟا :
F = 3(2x + 1) – (4x – 7) يأ ،
: F = 2x – 4
..
...
2 ن
2
( ﺎـّﻤﻟ : x = 2,5 نﺈﻓ
: - 4 2,5
× F = 2 ﻪﻨﻡو :
F = 1 ...
1 ن
3
( ﺎـّﻤﻟ : F = 2 ّنﺈﻓ : 2x – 4 = 2 ﻪﻨﻡو
: x = 3 ..
...
1 ن
ﻦﻳﺮﻤﺘﻟا ) 3 ( :
1
( ﺎﻨیﺪﻟ : BC cosB = AB يأ ،
: 5cm 5 0
4 = cosB = , ...
2 ن
2 ( ﺪﺠﻥ سرﻮﻏﺎﺜﻴﻓ ةﺮﻈﻥ ﺐﺴﺣ :
AC = 3cm ...
1 ن
3
( ﺚﻠﺜﻤﻟا ﺔﺣﺎﺴﻡ ABC
: 6cm2 = 2
÷ 4) × A = (3 ...
1 ن
ﺔﻟﺄـــــــﺴﻤﻟا :
1 ( ﺎﻨیﺪﻟ : 0,9
4 = 6
= 3, AB َو AM 0,9 5 =
6
= 4, AC ﻪﻨﻡوAN AC :
AN AB
AM = ...
1 ن
ّنأ ﺞﺘﻨﺘﺴﻥ ﺲﻟﺎﻄﻟ ﺔﻴﺴﻜﻌﻟا ﺔیﺮﻈﻨﻟا ﺐﺴﺣ :
(MN) // (BC) ...
1 ن
2 ( ﺐﺴﺣ ﺎﻨیﺪﻟ ﺲﻟﺎﻃ ﺔﻴّﺻﺎﺧ BC :
MN AB
AM = يأ
: 0,9 BC =
7 ﻪﻨﻡو 2, : BC = 3cm ...
1,5 ن
3 ( ﺚﻠﺜﻤﻟا ﻲﻓ ABC
ﺎﻨیﺪﻟ : AC2 = 52 = 25 ،
AB2 + BC2 = 32 + 42 = 25
ﻪﻨﻡو :
AC2 = AB2 + BC2 ﻠﺜﻤﻟا نذإ ،
ﺚ ABC ﻲﻓ ﻢﺋﺎﻗ B
...
2 ن
4 ( ﻲه طوﺮﺨﻤﻟا ةﺪﻋﺎﻗ ﺮﻄﻗ ﻒﺼﻥ :
AC = 3cm ﻮه ﻪﻋﺎﻔﺕراو
: AB = 4cm
ﻮه ﻢﺠﺤﻟا نذإ :
4 × 3,14 × 32 3 × = 1 ﻪﻨﻡو V :
V = 37,68 cm3 ...
...
1,5 ن
5 ( ﺚﻠﺜﻤﻟا A′B′C′
ةرﻮﺻ ﻮه ﺚﻠﺜﻤﻟا
ABC
لّﻮﺤی يﺬﻟا بﺎﺤﺴﻥﻹﺎﺏ M
ﻰﻟإ N ... . 1
ن
/1
1
A C
B
N M
C B
A
C’
B’
A’
