ﻥﻣﺎﺿﺗﻟﺍ ﻲﺣ ﺔﻳﺩﺍﺩﻋﻹﺍ ﺔﺳﺭﺩﻣﻟﺍ 25
02/ 2016/
ﻲﺳﺎﺳﺃ9 ﻭ 3 4
ﺭﺻﺎﻧﻟﺍ ﺩﺎﻣﻋ
ﺓﺩﻣﻟﺍ
ﻕﺩ 50
ﺏﻘﻠﻟﺍ ﻭ ﻡﺳﻻﺍ
U ﺔﺑﻗﺍﺭﻣ ﺽﺭﻓ ﺕﺎﻳﺿﺎﻳﺭ 4
U ﻥﻳﺭﻣﺗ 1
U)
ﺭﺎﻁﺇ ﻲﻓ ﺔﺣﻳﺣﺻﻟﺍ ﺔﺑﺎﺟﻹﺍ ﻊﺿ (ﻁﺎﻘﻧ 3
ﻪﻌﻠﺿ ﻊﺑﺭﻣ ﻡﺻ10
ﻱﻭﺎﺳﻳ ﻩﺭﻁﻗ
10 2 10 3
20
ﻲﻓ ﻝﺣ ﻭﻫ 5
ﺔﻟﺩﺎﻌﻣﻟﺍ
2 5
x =
5 0 x+ =
2 5 0
x + =
(
7 2− 8)
2ﻱﻭﺎﺳﻳ
60 50
40
U ﻥﻳﺭﻣﺗ 2
U )
10 (ﻁﺎﻘﻧ
1
ﻲﻓ ﻝﺣ (
ﺔﻳﻟﺎﺗﻟﺍ ﺕﻻﺩﺎﻌﻣﻟﺍ :
7 0 x+ = 5 2 ﻭ
2 3 0
x x
− + =
ﻭ
2 36 0
x − =
...
...
...
...
ﺓﺭﺎﺑﻌﻟﺍ ﺭﺑﺗﻌﻧ (2
2 6 7
A= x + x− ﺙﻳﺣ
ﺏﺳﺣﺃ .ﻲﻘﻳﻘﺣ ﺩﺩﻋx
ﻥﺎﻛ ﺍﺫﺇ A
2 x=
.
...
ﺭﺷﻧﺃ (ﺃ (x+3)2
ﻥﺃ ﻥﻳﺑ ﻡﺛ (x+3)2− =16 A
ﻝ ﺎﻛﻳﻛﻔﺗ ﺞﺗﻧﺗﺳﺍ . . A
...
...
...
ﺓﺭﺎﺑﻌﻟﺍ ﻥﻛﺗﻟ (ﺏ
2 14 49
B=x + x+
ﻙﻛﻓ . .ﻝﻣﺍﻭﻋ ءﺍﺫﺟ ﻰﻟﺇ B
...
...
ﻥﺃ ﻥﻳﺑ (ﺝ
( )( )
2 7 3 13
A+ B= x+ x+
...
...
ﺩﺟﻭﺃ ﻥﺎﻛ ﺍﺫﺇ x
2 0
A+ B=
... .
...
U ﻥﻳﺭﻣﺗ 3
U)
7 (ﺔﻔﻋﺎﺿﻣﻟﺍ ﺔﻗﺭﻭﻟﺍ ﻰﻠﻋ) (ﻁﺎﻘﻧ
ﺙﻳﺣ ﺙﻠﺛﻣ ABC 10
BC =
ﻭ
6 AC =
ﻭ
8 AB=
.
ﻥﺑﺍ (1 .ﻡﺋﺎﻗ ﻪﻧﺃ ﻥﻳﺑ ﻭABC
ﻡﺳﺭﺃ (2 ﻝ ﻱﺩﻭﻣﻌﻟﺍ ﻁﻘﺳﻣﻟﺍH
ﻰﻠﻋ A
( )BC
ﺏﺳﺣﺃ . ﺞﺗﻧﺗﺳﺍ . AH
ﻭ BH .CH
ﻡﻳﻘﺗﺳﻣﻟﺍ (3
ﻰﻠﻋ ﻱﺩﻭﻣﻌﻟﺍ ( )AC
ﻭ
ﻥﻣ ﺭﺎﻣﻟﺍ
ﻊﻁﻘﻳ H
( )AC ﻲﻓ
ﺏﺳﺣﺃ .I AI
ﻭ .IC
ﺩﻳﻌﺳ ﻅﺣ 2