t = − ﺝ ; t =3 ( ﺏ ;

ﻢﺴﻘﻟﺍ ... ﺐﻘﻠﻟﺍ ﻭ ﻢﺳﻹﺍ 8

... ﻲــﺳﺎـــﺳﺃ

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ1 ) ﺩ ﺪـــــ 3 ( ﻁﺎﻘﻧ

ﺪﺣ ﻰﺼﻗﺃ ﻰﻟﺇ ﺔﺠﻴﺘﻨﻟﺍ ﻻﺰﺘﺨﻣ ﺐﺴﺣﺃ

𝒆𝒆 = 𝟐𝟐 − 𝟏𝟏 − 𝟗𝟗 𝟒𝟒

− 𝟓𝟓 𝟐𝟐

; 𝐟𝐟 = −𝟑𝟑 + 𝟑𝟑 × 𝟏𝟏 𝟐𝟐 −

𝟑𝟑 𝟑𝟑 𝟒𝟒

; 𝐠𝐠 = �𝟏𝟏 − 𝟐𝟐

𝟓𝟓� �𝟏𝟏 − 𝟓𝟓 𝟐𝟐 𝟑𝟑�

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ2 ) ﺩ ﺪـــــ 3 ( ﻁﺎﻘﻧ

a−5

b + 3 =−5

3 ﻥﺃ ﻦﻴﺑ a

b = −5

3 ﻥﺃ ﺎﻤﻠﻋ (1 𝟏𝟏 − 𝒙𝒙

𝟒𝟒 =𝟏𝟏

𝟓𝟓 ∗ 𝟑𝟑 −|𝒙𝒙|

𝟑𝟑 =−𝟐𝟐 ∗ −𝟐𝟐

𝟑𝟑 (𝟐𝟐+𝒙𝒙) =𝟏𝟏 ﺔﻴﻟﺎﺘﻟﺍ ﺕﻻﺎﺤﻟﺍ ﻲﻓ 𝑥𝑥 ﺪﺟﻭﺃ ( 2

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ3 ) ﺩ ﺪـــــ 6 ( ﻁﺎﻘﻧ

1 3𝑡𝑡 −2

3 ﻭ 2t−t² ﻲﺒﺴﻧ ﻱﺮﺴﻛ ﺩﺪﻋ 𝑡𝑡 ﺚﻴﺣ ﻦﻴﺘﻴﻟﺎﺘﻟﺍ ﻦﻴﺗﺭﺎﺒﻌﻟﺍ ﻦﻴﻠﻣﺎﻋ ءﺍﺬﺟ ﻰﻟﺇ ﻚﻜﻓ ( 1 ﻲﺒﺴﻧﻱﺮﺴﻛﺩﺪﻋ t ﺚﻴﺣ Y ﻭ 𝑋𝑋 ﻦﻴﺗﺭﺎﺒﻌﻟﺍﺮﺒﺘﻌﻧ ( 2 Y = 1

3𝑡𝑡 −2

3 +(t−2)(𝑡𝑡 −2

3) ﻭ X = 2t−t²+ (2−t)�t−1

3� X = (2−t)�2t−¹₃� ﻥﺃ ﻦﻴﺑ ( ﺃ

Y = (t−2)�t−1

3� ﻥﺃ ﻦﻴﺑ ( ﺏ X−Y ﺓﺭﺎﺒﻌﻠﻟ ﺎﻜﻴﻜﻔﺗ ﺞﺘﻨﺘﺳﺍ ( ﺝ ﺔﻴﻟﺎﺘﻟﺍ ﺕﻻﺎﺤﻟﺍ ﻲﻓ 𝒀𝒀 ﻭ 𝑿𝑿 ﻥﺭﺎﻗ (3 t = −1

3 (ﺝ ; t = 3 (ﺏ ; 𝑡𝑡 = 2 (ﺃ

ﻞـــﻌﺒﻨﺣ ﺔﻴﺳﺎﺳﻷﺍ ﺔﺳﺭﺪﻤﻟﺍ ﺽﺮــــﻓ

ﺔﺒﻗﺍﺮـــــﻣ ـــﻋ

4 ﺩ ﺪــــ

ﻲــﻏﺭﻭ ﻱﺮﻜﺷ : ﺩﺍﺪﻋﻹﺍ

2015/2016 : ﺔﻴﺳﺍﺭﺪﻟﺍ ﺔﻨﺴﻟﺍ ﺕﺎﻴﺿﺎﻳﺮﻟﺍ : ﺓﺩﺎﻤﻟﺍ

ﻯﻮــــﺘﺴﻤﻟﺍ :

8

ﻲـــﺳﺎﺳﺃ ﺔﻘﻴﻗﺩ 90: ﺓﺪﻤﻟﺍ

ﻢﺴﻘﻟﺍ ... ﺐﻘﻠﻟﺍ ﻭ ﻢﺳﻹﺍ 8

... ﻲــﺳﺎـــﺳﺃ

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ4 ) ﺩ ﺪـــــ 8 ( ﻁﺎﻘﻧ

( ﺐﺣﺎﺼﻤﻟﺍ ﻢﺳﺮﻟﺍ ﺮﻈﻧﺃ ) ﺔﻳﺪﺣﺍﻮﻟﺍ ﺔﻄﻘﻨﻟﺍ 𝐈𝐈 ﻭ ﻦﻴﻌﻤﻟﺍ ﻞﺻﺃ 𝐎𝐎 ﺚﻴﺣ ﺝﺭﺪﻣ ﻢﻴﻘﺘﺴﻣ (𝐎𝐎 , 𝐈𝐈) ﻦﻜﻴﻟ

K ﻭ B ﻭ A ﻁﺎﻘﻧﻟﺍ ﺔﻠﺻﺎﻓ ﻲﻫﺎﻣ (ﺃ (1 [AB] ﻑﺻﺗﻧﻣ K ﻥﺃ ﻥﻳﺑ (ﺏ 𝐴𝐴𝐴𝐴 ﻭ 𝐴𝐴𝐴𝐴 ﻥﻳﺩﻌﺑﻟﺍ ﺏﺳﺣﺃ (ﺝ ﺔﺑﻟﺎﺳ M ﺔﻠﺻﺎﻓ ﻭ MB = 1 ﺙﻳﺣ M ﺔﻁﻘﻧﻟﺍ ﺔﻠﺻﺎﻓ ﺩﺟﻭﺃ (ﺃ (2 M ﺔﻁﻘﻧﻟﺍ ﻥﻳﻋ (ﺏ 𝐴𝐴𝐴𝐴 = 𝐴𝐴𝐴𝐴 ﻭ 𝐴𝐴 ﻲﻓ ﻡﺋﺎﻗ ﺙﻠﺛﻣ 𝐴𝐴𝐴𝐴𝐴𝐴 ﺙﻳﺣﺑ ﻱﻭﺗﺳﻣﻟﺍ ﻥﻣ 𝐴𝐴 ﺔﻁﻘﻧﻟﺍ ﻥﻳﻋ (ﺃ (3 K ـﻟ ﺔﺑﺳﻧﻟﺎﺑ H ﺓﺭﻅﺎﻧﻣ L ﺔﻁﻘﻧﻟﺍ ﻥﺑﺍ (ﺏ ﻉﻼﺿﻷﺍ ﻱﺯﺍﻭﺗﻣ AHBL ﻲﻋﺎﺑﺭﻟﺍ ﻥﺃ ﻥﻳﺑ (ﺝ 𝑁𝑁 ﻲﻓ (𝐴𝐴𝐴𝐴) ﻊﻁﻘﻳ (𝐴𝐴𝐴𝐴) ﻰﻠﻋ ﻱﺩﻭﻣﻌﻟﺍ ﻭ 𝑀𝑀 ﻥﻣ ﺭﺎﻣﻟﺍ ﻡﻳﻘﺗﺳﻣﻟﺍ (4 𝑃𝑃 ﻲﻓ (𝐴𝐴𝐴𝐴) ﻊﻁﻘﻳ (𝐴𝐴𝐴𝐴) ﻰﻠﻋ ﻱﺩﻭﻣﻌﻟﺍ ﻭ 𝐴𝐴 ﻥﻣ ﺭﺎﻣﻟﺍ ﻡﻳﻘﺗﺳﻣﻟﺍ ﻭ 𝑩𝑩𝑩𝑩𝑩𝑩 ﻭ 𝑨𝑨𝑨𝑨𝑨𝑨 ﻥﻳﺛﻠﺛﻣﻟﺍ ﺱﻳﺎﻘﺗ ﺕﺑﺛﺃ ( ﺃ ﺔﺳﻳﺎﻘﺗﻣﻟﺍ ﺭﺻﺎﻧﻌﻟﺍ ﺔﻳﻘﺑ ﺞﺗﻧﺗﺳﺍ ( ﺏ ﻉﻼﺿﻷﺍ ﻱﺯﺍﻭﺗﻣ ABNP ﻲﻋﺎﺑﺭﻟﺍ ﻥﺃ ﻥﻳﺑ (ﺝ

𝑁𝑁𝑃𝑃 = 8

3 ﻥﺃ ﺞﺗﻧﺗﺳﺍ (ﺩ