1 ﺏﺳﺣﺃ ( ﻁﺎﻘﻧ 3 ) 2 ﻥﻳﺭﻣﺗ ﺔﺑﺳﻧﻟﺎﺑ ﻥﺎﺗﺭﻅﺎﻧﺗﻣ ﻰﻟﺇ M(0 ;-1) (OI) (OJ) O ﻭ J (O,I,J) ﺩﻣﺎﻌﺗﻣ ﻥﻳﻌﻣ ﻲﻓ 44 - 10 10 ﻱﻭﺎﺳﻳ 5 ﻭﻫ 8 ﻰﻠﻋ ﺔﻣﺳﻗ ﺝﺭﺎﺧ 3 ﻭ 4 8 ﻭ 9 8 ﻭ 3 ﻰﻠﻋ ﺔﻣﺳﻘﻟﺍ ﻝﺑﻘﻳ 5268 1 ﻥﻳﺭﻣﺗ

(1)

ﺔﻧﻳﻭﻌﻟﺍ ﺔﻳﺩﺍﺩﻋﻹﺍ ﺔﺳﺭﺩﻣﻟﺍ 2

24

10/ 2017/

ﻲﺳﺎﺳﺃ ﺔﻧﻣﺎﺛ ﻭ10

ﺭﺻﺎﻧﻟﺍ ﺩﺎﻣﻋ 11

ﺏﻘﻠﻟﺍ ﻭ ﻡﺳﻻﺍ

ﺓﺩﻣﻟﺍ ﻕﺩ 45

U ﺔﺑﻗﺍﺭﻣ ﺽﺭﻓ ﺕﺎﻳﺿﺎﻳﺭ 1

U ﻥﻳﺭﻣﺗ 1

U)

4 (ﻁﺎﻘﻧ

ﺭﺎﻁﺇ ﻲﻓ ﺔﺣﻳﺣﺻﻟﺍ ﺔﺑﺎﺟﻹﺍ ﻊﺿ

5268 ﻰﻠﻋ ﺔﻣﺳﻘﻟﺍ ﻝﺑﻘﻳ

ﻭ3 8 ﻭ9

8 ﻭ4

3

ﺔﻣﺳﻗ ﺝﺭﺎﺧ

6 4

5 −5

ﻰﻠﻋ ﻭﻫ 8

54

54×3

5

( )

17 27

− + −

ﻱﻭﺎﺳﻳ 10

10 44 -

ﺩﻣﺎﻌﺗﻣ ﻥﻳﻌﻣ ﻲﻓ (O,I,J)

ﻭ J

M(0 ;-1) ﺔﺑﺳﻧﻟﺎﺑ ﻥﺎﺗﺭﻅﺎﻧﺗﻣ

(OI) ﻰﻟﺇ (OJ)

O

U ﻥﻳﺭﻣﺗ 2

U )

3 (ﻁﺎﻘﻧ

ﺏﺳﺣﺃ

(

¹²⁵

)

¹⁴⁰

(

⁴⁰

)

^{( 75)} ...

c = − + + − + − =

( )

110 115 ...

d = − − =

13 12 ...

e= − − − =

1

(2)

U ﻥﻳﺭﻣﺗ 3

U)

4 (ﻁﺎﻘﻧ

ﻲﻟﺎﺗﻟﺍ ﻝﻭﺩﺟﻟﺍ ﻡﻣﺗﺃ -21

a

100 39 -

−b

59

a+b -

a b

− + −

U ﻥﻳﺭﻣﺗ 4^U

9 ) ( ﺔﻔﻋﺎﺿﻣﻟﺍ ﺔﻗﺭﻭﻟﺍ ﻰﻠﻋ )( ﻁﺎﻘﻧ

ﺎﺛﻠﺛﻣ ﻡﺳﺭﺃ ﺔﻳﺳﻳﺋﺭﻟﺍ ﻪﺗﻣﻗ ﻥﻳﻌﻠﺿﻟﺍ ﺱﻳﺎﻘﺗﻣ ABC

ﺙﻳﺣ A 5

AB = cm

ﻭ

3 BC = cm

.

ﻥﺑﺍ (1 ﻝ ﻱﺩﻭﻣﻌﻟﺍ ﻁﺳﻭﻣﻟﺍ ∆

[ ]

^BC

∆ . ﻊﻁﻘﻳ

[ ]

^BC

ﻲﻓ ﻥﺃ ﻥﻳﺑ .I

ﻭ B

ﻰﻟﺇ ﺔﺑﺳﻧﻟﺎﺑ ﻥﺎﺗﺭﻅﺎﻧﺗﻣ C

.I

ﺔﻁﻘﻧﻟﺍ ﻥﺑﺍ (2 ﺓﺭﻅﺎﻧﻣ D

ﻰﻟﺇ ﺔﺑﺳﻧﻟﺎﺑ A

ﺔﻁﻘﻧﻟﺍ ﻡﺛ I

ﺓﺭﻅﺎﻧﻣ E D

ﻰﻟﺇ ﺔﺑﺳﻧﻟﺎﺑ ﻥﺃ ﻥﻳﺑ .C

5 EC = cm

.

ﻡﻳﻘﺗﺳﻣﻟﺍ (3

( )

^EI

( )

^AB ﻊﻁﻘﻳ

ﻲﻓ ﻥﺃ ﻥﻳﺑ .F

ﺓﺭﻅﺎﻧﻣ F

ﻰﻟﺇ ﺔﺑﺳﻧﻟﺎﺑE I

ﺩﻳﻌﺳ ﻅﺣ 2

(3)