ﻭ ﻭ ﺏﺳﺣﺍ - 3 ﺏﻭﻠﻘﻣ ﻥﺃ ﻥﻳﺑ - 2 ﻭ ﻥﺃ ﻥﻳﺑ - 1 ﻭ ﻥﻳﺗﺭﺎﺑﻌﻟﺍ ﺭﺑﺗﻌﻧ ( 5 ) ﺙﻟﺎﺛﻟﺍ ﻥﻳﺭﻣﺗﻟ ﺍ ﺙﻳﺣ ﺔﻳﻘﻳﻘﺣﻟﺍ ﺩﺍﺩﻋﻻﺍ ﺩﺟﻭﺃ ( ﺕ‌ ﻥﺃ ﻙﻳﻛﻔﺗﻟﺎﺑ ﻥﻳﺑ ( ﺏ‌ ﻝﻣﺍﻭﻋ ءﺍﺫﺟ ﻰﻟﺍ ﻭ ﻥﻣ ﻝﻛ ﻙﻛﻓ ( ﺃ‌ ﻭ ﻥﻳﺗﺭﺎﺑﻌﻟﺍ ﻥﻛﺗﻟ - ﻲﻘﻳﻘﺣ ﺩﺩﻋ ﺙﻳﺣ ﻭ 3 ﺏﺳﺣﺍ - 2 ﺭﺻﺗﺧﺍ ﻡﺛ ﺕﺎﻔﻘﻌﻣﻟﺍﻭ ﺱﺍﻭﻗﻻﺍ ﻑﺫﺣﺍ - 1 ( 6 ) ﻲﻧ

U)ﻝﻭﻻﺍ ﻥﻳﺭﻣﺗﻟﺍ 3

(

ﺔﺣﻳﺣﺻﻟﺍ ﺔﺑﺎﺟﻹﺍ ﻭ ﻝﺍﺅﺳﻟﺍ ﻡﻗﺭ ﻙﺭﻳﺭﺣﺗ ﺔﻗﺭﻭ ﻰﻠﻋ ﺏﺗﻛﺍ .ﺔﺣﻳﺣﺻ ﻁﻘﻓ ﺎﻫﺍﺩﺣﺇ ﺕﺎﺑﺎﺟﺇ ﺙﻼﺛ ﻝﺍﺅﺳ ﻝﻛ ﻲﻠﻳ

1 ﺩﺩﻌﻟﺍ-

8+ 2

ﻱﻭﺎﺳﻳ

ﺃ‌

( (ﺏ 2

(ﺝ 3 2 10

2 ــﻟ ﺔﻳﺩﺩﻌﻟﺍ ﺔﻣﻳﻘﻟﺍ-

2( 1) 2

A= − + +x

ﻥﺎﻛ ﺍﺫﺍ

2 x=

ﻲﻫ

ﺃ‌

(

1+ 2

(ﺏ

2 2−2

(ﺝ ( )⁻¹

3 ﻥﺎﻛ ﺍﺫﺍ- ﻭ ﻲﻘﻳﻘﺣ ﺩﺩﻋ x

3 3 3 x =

ﻥﺎﻓ

ﺃ‌

(

3 x=

(ﺏ

3 x=

(ﺝ

1 x=

)ﻲﻧﺎﺛﻟﺍ ﻥﻳﺭﻣﺗﻟﺍ 6

(

1 ﺭﺻﺗﺧﺍ ﻡﺛ ﺕﺎﻔﻘﻌﻣﻟﺍﻭ ﺱﺍﻭﻗﻻﺍ ﻑﺫﺣﺍ-

1 5 1

3 3 2 2

2 2 2

E= − − − − + − + −

2 ﺏﺳﺣﺍ-

( )

1 3 2 3

F= − +π − − π −

3 ﻥﻳﺗﺭﺎﺑﻌﻟﺍ ﻥﻛﺗﻟ- ﻭ A

ﺙﻳﺣ B

ﻲﻘﻳﻘﺣ ﺩﺩﻋx

( ) ( )

2 2 3 2

A= x x− − x−

ﻭ

2 2 B= x−

ﺃ‌

ﻥﻣ ﻝﻛ ﻙﻛﻓ ( ﻭ A

ﻝﻣﺍﻭﻋ ءﺍﺫﺟ ﻰﻟﺍ B

ﺏ

‌

ﻥﺃ ﻙﻳﻛﻔﺗﻟﺎﺑ ﻥﻳﺑ(

(

)(

)

A+ =B x− x− +

ﺕ

‌

ﺔﻳﻘﻳﻘﺣﻟﺍ ﺩﺍﺩﻋﻻﺍ ﺩﺟﻭﺃ( ﺙﻳﺣx

A= −B

ﺍ )ﺙﻟﺎﺛﻟﺍ ﻥﻳﺭﻣﺗﻟ 5

(

ﻥﻳﺗﺭﺎﺑﻌﻟﺍ ﺭﺑﺗﻌﻧ

4 12 27

a= + −

ﻭ

2 75 48

b= + −

1 ﻥﺃ ﻥﻳﺑ-

2 3

a= −

ﻭ

2 3

b= +

2 ﻥﺃ ﻥﻳﺑ- ﺏﻭﻠﻘﻣ a

b

3 ﺏﺳﺣﺍ-

1 1 a+b

ﻭ

2 1 a−b

ﻭ

a b

ﺽﺮﻓ ﺔﺒﻗﺍﺮﻣ ﺩﺪﻋ

2 ﺕﺎﻴﺿﺎﻳﺮﻟﺍ ﺓﺩﺎﻣ ﻲﻓ

ﻲﺳﺎﺳﺃ 9

ﺔﻳﺩﺍﺪﻋﻹﺍ ﺔﺳﺭﺪﻤﻟﺍ ﺱﺭﺎﻣ 20

ﺔﻴﻗﺎﻧﺮﻤﻟﺍ

ﻱﺪﻴﺒﻌﻟﺃ ﻱﺩﺎــــــــــﻬﻟﺍ : ﺫﺎﺘﺳﻷﺍ 2017/2018

)ﻊﺑﺍﺭﻟﺍ ﻥﻳﺭﻣﺗﻟﺍ 6

(

ﺙﻳﺣ ﺙﻠﺛﻣ ABC 6

BC= cm

ﻭ

4 AC= cm

ﻭ

3 AB= cm

ﻭ ﻑﺻﺗﻧﻣE

[ ]^AB

ﻭ ﻑﺻﺗﻧﻣ F

[ ]^AC

1 ﻥﺃ ﻥﻳﺑ- ( ) ( )^{BC / / EF}

ﺏﺳﺣﺃﻭ

EF

2 ﺔﻁﻘﻧ ﻥﻳﻋ- ﻥﻣ M

[^BA) ﺙﻳﺣ

5 AM = cm

ﻥﻣ ﺭﺎﻣﻟﺍ ﻡﻳﻘﺗﺳﻣﻟﺍ ــﻟ ﻱﺯﺍﻭﻣﻟﺍﻭ M

( )^BC ﻊﻁﻘﻳ ( )^AC

ﻲﻓ

N

ﺏﺳﺣﺃ ﻭ MN

AN

3 ﻥﻛﺗﻟ- ﻑﺻﺗﻧﻣ I

[ ]^BC

ﻡﻳﻘﺗﺳﻣﻟﺍ ( )^AI

ﻊﻁﻘﻳ [ ]^EF

ﻲﻓ ﻥﺃ ﻥﻳﺑ J

ﻑﺻﺗﻧﻣJ

[ ]^EF

4 ﺔﻁﻘﻧ ﻥﻳﻋ- ﻥﻣ D

[ ]^BC ﺙﻳﺣ

2 BD= cm

ﻲﻣﺳﻧ

S1

ﺙﻠﺛﻣﻟﺍ ﺔﺣﺎﺳﻣ ﻭ ABD

S2

ﺙﻠﺛﻣﻟﺍ ﺔﺣﺎﺳﻣ

ABC

ﺏﺳﺣﺃ

1 2

S S

ﺎـــــــــــــــﻘﻓﻭﻣ ﻼــــــــــــــــــﻣﻋ