ﺔﻴﺒﻌﺸﻟﺍ ﺔﻴﻁﺍﺭﻘﻤﻴﺩﻟﺍ ﺔﻴﺭﺌﺍﺯﺠﻟﺍ ﺔﻴﺭﻭﻬﻤﺠﻟﺍ
ﺔﻴﻨﻁﻭﻟﺍ ﺔﻴﺒﺭﺘﻟﺍ ﺓﺭﺍﺯﻭ
ﺩﻌﺒ ﻥﻋ ﻥﻴﻭﻜﺘﻟﺍﻭ ﻡﻴﻠﻌﺘﻠﻟ ﻲﻨﻁﻭﻟﺍ ﻥﺍﻭﻴﺩﻟﺍ
ﺔﺒﻗﺍﺭﻤﻟﺍ ﺽﺭﻓ ﺔﺒﺎﺠﺇ ﻡﻴﻤﺼﺘ
ﺔﻴﺴﺍﺭﺩﻟﺍ ﺔﻨﺴﻟﺍ
: / 2010 2011
ﻯﻭﺘﺴﻤﻟﺍ :
ﻁﺴﻭﺘﻤ 3 ﺔ
ﺓﺩﺎﻤﻟﺍ : ﺕﺎﻴﻀﺎﻴﺭ ﺕﺎﺤﻔﺼﻟﺍ ﺩﺩﻋ
: 2
ﺩﺍﺩـﻋﺇ : ﻱﺭﺎﻫﺯﻟ ﻱﺭﺒﺎﺠ /
ﻁﺴﻭﺘﻤﻟﺍ ﻡﻴﻠﻌﹼﺘﻟﺍ ﺫﺎﺘﺴﺃ
ﻞﺣ ﻦﻳﺮﻤﺘﻟا لوﻷا
:
1 4 ( 3 12
9 = A = ؛ 4
B = 5 )...
1 + 1 ( ن
2 ( 1 – 1 = 1 ــ 4 ــ 5 4 = 9 1 4 ــ ــ 5 4
×3 3 C = يأ : C = 0 ...
1 ن
ﻞﺣ ﻦﻳﺮﻤﺘﻟا ﻲﻧﺎﺜﻟا :
1
( 3x – 5 A=
...
....
0,5 ن
B = y – 2x + 4
...
0,5 ن
2
* ( ﺎﻤﻟ : x = 2,3 نﺈﻓ
: A = 1,9
...
0,5 ن
* ﺎﻤﻟ
: x = 2 و y = - 1
نﺈﻓ : B = - 1 ...
1 ن
3 ( ﺎﻤﻟ : A = 7 نﺈﻓ
: 3x – 5 = 7 ﻪﻨﻣو
: x = 4 ..
...
0,5 ن
ﻞﺣ ﻦﻳﺮﻤﺘﻟا ﺚﻟﺎﺜﻟا :
1 ( 104 × 441 A = ؛ 10-8 × 63 B = ؛ ...
… ...
1 ن
2 ( 1012 × 7 B = ... A ..
...
1 ن
3 ( 1013 <
B < A 1012 ...
1 ن
ﻞﺣ ﻳﺮﻤﺘﻟا ﻊﺑاﺮﻟا ﻦ :
1 ( ﺔﻟﻻﺩﺒ ﻉﻼﻀﻷﺍ ﻱﺯﺍﻭﺘﻤ ﻁﻴﺤﻤ .x
P = 6x + 8 : ....
. ...
ﻥ 1
(2 ﺎﻤﻟ : P = 80cm ﺩﺠﻨ
: x = 12 ...
ﻥ0.5
ﻪﻨﻤﻭ
: AB = 25 cm ؛
AD = 15 cm )...
0,5 + 0,5 (
ﻥ
(3 ﻉﻼﻀﻷﺍ ﻱﺯﺍﻭﺘﻤ ﺔﺤﺎﺴﻤ :
6= 150cm² ×
A = 25
………
ﻥ 0.5
ﻞﺣ ﺔﻟﺄــــــﺴﻤﻟا :
ءﺰــــﺠﻟا )
(1 :
(1
(MN) ﻭ
(BC) ﻡﻴﻘﺘﺴﻤﻟﺍ ﺱﻔﻨ ﻥﺍﺩﻤﺎﻌﻴ
ﻥﺫﺇ ، (AB) : (MN) //
... (BC) ﻥ 1
(2 ﺎﻨﻴﺩﻟ ﺱﻟﺎﻁ ﺔﻴﺼﺎﺨ ﺏﺴﺤ BC :
MN AC
AM AB
AN = = ﻱﺃ
BC : AC
4 5 9
3 = = .
...
ﻥ 1
AC
5 9 3 = BC ﻭ
4 9 3 = ﻪﻨﻤﻭ : AC = 15cm ﻭ
BC = 12cm ...
...
ﻥ 1
(3
ﺙﻠﺜﻤﻟﺍ ﻁﻴﺤﻤ ﻭﻫ ABC
: P = 36cm ...
1 ن
1 / 2
ءﺰـــــــﺠﻟا )
2 ( :
ﺔـّﻗﺪﺑ ﻞﻜﺸﻟا ﻢﺳر ... :
1 ن
1 ﻲﻋﺎﺒﺭﻟﺍ ( ABMC ﻩﺍﺭﻁﻗ ،
] [AM ﻭ ] [BC ، ﻥﺎﻔﺼﺎﻨﺘﻤ
ﻉﻼﻀﺃ ﻱﺯﺍﻭﺘﻤ ﻭﻬﻓ .
...
ﻥ 1,5
(2 ﻁﻘﻨﻟﺍ
، M ، C ﻭ ﺓﺩﺤﺍﻭ ﺔﻤﺎﻘﺘﺴﺍ ﻰﻠﻋ D MC = CD
ﻥﺫﺇ ﻑﺼﺘﻨﻤ C
] ... [MD ﻥ 1,5
2 / 2
D C M
B A
0