× � � (2×10) 1100

ﻢﺴﻘﻟﺍ ... ﺐﻘﻠﻟﺍ ﻭ ﻢﺳﻹﺍ 8

... ﻲــﺳﺎـــﺳﺃ

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ1 ) ﺩ ﺪـــــ 2 ( ﻁﺎﻘﻧ

ﻙﺮﻳﺮﺤﺗ ﺔﻗﺭﻭ ﻰﻠﻋ ﻞﻘﻧﺃ ﻦﻴﻟﻭﺪﺠﻟﺍ

ﻦﻴﻴﻟﺎﺘﻟﺍ ﺎﻤﻬﻠﻤﻛﺃ ﻢﺛ :

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ2 ) ﺩ ﺪـــــ 3 ( ﻁﺎﻘﻧ

ﺪﺟ (1 ﺎﻬﻋﻮﻤﺠﻣ ﺔﻴﻌﻴﺒﻁ ﺔﺤﻴﺤﺻ ﺔﻴﻟﺎﺘﺘﻣ ﺩﺍﺪﻋﺃ 3 66

ﺏﺃ ﻯﺪﻫﺃ (2 75

. ﺪﻴﻌﻟﺍ ﺔﺒﺳﺎﻨﻤﺑ ﺔﺛﻼﺜﻟﺍ ﻪﺋﺎﻨﺑﻷ ﺍﺭﺎﻨﻳﺩ

ﻰﻠﻋ ﻲﻧﺎﺜﻟﺍ ﻞﺼﺤﺗ ﻲﻧﺎﺜﻟﺍ ﻪﻴﻠﻋ ﻞﺼﺤﺗ ﺎﻣ ﻒﻌﺿ ﻰﻠﻋ ﺚﻟﺎﺜﻟﺍ ﻞﺼﺤﺗ ﻭ ﻝﻭﻷﺍ ﻦﻣ ﺮﺜﻛﺃ ﺮﻴﻧﺎﻧﺩ 5

ءﺎﻨﺑﻷﺍ ﻦﻣ ﻦﺑﺍ ﻞﻛ ﻪﻴﻠﻋ ﻞﺼﺤﺗ ﻱﺬﻟﺍ ﻎﻠﺒﻤﻟﺍ ﺪﺟﻭﺃ

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ3 ) ﺩ ﺪـــــ 4 ( ﻁﺎﻘﻧ

ℚ ﻲﻓ ﺔﻴﻟﺎﺘﻟﺍ ﺕﻻﺩﺎﻌﻤﻟﺍ ﻞﺣ (1 1−t

2 = 1−t

5 −t ∗ −2(1−2t) = 3(t−4) ∗ 2|t| = |t|−1 ∗ 3t−5 = −2 3 t [MN] ﻒﺼﺘﻨﻣ T ﻭ ( n > 0 ) n ﻪﻌﻠﺿ ﻝﻮﻁ ﻊﺑﺮﻣ MNPO ﻦﻜﻴﻟ (2

27𝑐𝑐𝑐𝑐² ﻱﻭﺎﺳﺗ 𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 ﻑﺭﺣﻧﻣﻟﺍ ﻪﺑﺷ ﺔﺣﺎﺳﻣ ﺙﻳﺣﺑ 𝑛𝑛 ﺩﺟﻭﺃ

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ4 ) ﺩ ﺪـــــ 5 ( ﻁﺎﻘﻧ

𝒒𝒒= (−𝟐𝟐)^𝟑𝟑+𝟐𝟐^−𝟑𝟑 ﻭ 𝒑𝒑= ₃³₋₁⁻² _{− 2} ^{− 1} ﻦﻳ ﺩﺪﻌﻟﺍ ﺐﺴﺣﺃ (1 2 ﺐﺘﻛﺃ ( ﻲﻓ ﺔﻐﻴﺻ ﺓﻮﻗ ﺩﺪﻌﻟ ﻱﺮﺴﻛ ﻪﻠﻴﻟﺩ ﺩﺪﻋ ﺢﻴﺤﺻ ﻲﻌﻴﺒﻁ 𝒂𝒂= 32⁻² ﻊﺑﺭ ∗ 𝐛𝐛= (0,002)⁻²× 10⁵

(2 × 10)⁻²×� 1

100�⁻³ ∗ 𝐜𝐜= (−𝟑𝟑)^−𝟔𝟔+ (−𝟑𝟑)^−𝟔𝟔+ (−𝟑𝟑)^−𝟔𝟔

ﻞـــﻌﺒﻨﺣ ﺔﻴﺳﺎﺳﻷﺍ ﺔﺳﺭﺪﻤﻟﺍ ﺽﺮــــﻓ

ﺔﺒﻗﺍﺮـــــﻣ ـــﻋ

5 ﺩ ﺪــــ

ﻲــﻏﺭﻭ ﻱﺮﻜﺷ : ﺩﺍﺪﻋﻹﺍ

2015/2016 : ﺔﻴﺳﺍﺭﺪﻟﺍ ﺔﻨﺴﻟﺍ ﺕﺎﻴﺿﺎﻳﺮﻟﺍ : ﺓﺩﺎﻤﻟﺍ

ﻯﻮــــﺘﺴﻤﻟﺍ :

8

ﻲـــﺳﺎﺳﺃ ﺔﻘﻴﻗﺩ 90: ﺓﺪﻤﻟﺍ

ﻑﻻﻵﺎﺑ ﻩﺮﺒﺟ ﺪﻌﺑ ﻦﻴﻤﻗﺮﺑ ﻩﺮﺒﺟ

ﻞﺻﺎﻔﻟﺍ ﺩ ﺪـــــﻌﻟﺍ 887143,09905 585,958732× 10²

8484× 10⁻¹² 0,002555× 10¹¹ ﺩ ﺪــــــﻌﻟﺍ ﺔﻴﻤﻠﻌﻟﺍ ﺔﺑﺎﺘﻜﻟﺍ ﺔﻳﺮﻳﺪﻘﺘﻟﺍ ﺔﻤﻴﻘﻟﺍ

ﻢﺴﻘﻟﺍ ... ﺐﻘﻠﻟﺍ ﻭ ﻢﺳﻹﺍ 8

... ﻲــﺳﺎـــﺳﺃ

ﺮﻔﺼﻠﻟ ﻦﻴﻔﻟﺎﺨﻣ ﻥﺎﻳﺮﺴﻛ ﻥﺍﺩﺪﻋ b ﻭ a ﺚﻴﺣ F =− a⁻²b ﻭ E =(a⁻¹× b⁻²)⁻¹

a⁻¹× (−b)³ ﻦﻴﺗﺭﺎﺒﻌﻟﺍ ﺮﺒﺘﻌﻧ (3 E =− a²b⁻¹ ﻥﺃ ﻦﻴﺑ (ﺃ ﻥﺎﺑﻮﻠﻘﻣ F ﻭ E ﻥﺃ ﻦﻴﺑ (ﺏ F ﻭ E ﻦﻴﺗﺭﺎﺒﻌﻠﻟ ﺔﻳﺩﺪﻌﻟﺍ ﺔﻤﻴﻘﻟﺍ ﺪﺟﻭﺃ . b =−2 ⁻² ﻭ a = −1 ﻥﺃ ﺖﻤﻠﻋ ﺍﺫﺇ (ﺝ

U ــــﻋ ﻦﻳﺮﻤﺘﻟﺍ5 ) ﺩ ﺪـــــ 6 ( ﻁﺎﻘﻧ

𝐸𝐸𝐸𝐸 = 𝐸𝐸𝐸𝐸 = 3𝑐𝑐𝑐𝑐 ﺚﻴﺣ 𝐸𝐸 ﻪﺘﻤﻗ ﻦﻴﻌﻠﻀﻟﺍ ﺲﻳﺎﻘﺘﻣ ﻢﺋﺎﻗ ﺚﻠﺜﻣ 𝐸𝐸𝐸𝐸𝐸𝐸 ﻢﺳﺭﺃ (1 (FH) ـﻟ ﺔﺒﺴﻨﻟﺎﺑ E ﺓﺮﻅﺎﻨﻣ G ﻦﺑﺍ (ﺃ (2

ﻊﺑﺮﻣ 𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸 ﻥﺃ ﻦﻴﺑ (ﺏ F ـﻟ ﺔﺒﺴﻨﻟﺎﺑ I ﺓﺮﻅﺎﻨﻣ L ﻦﺑﺍ ﻢﺛ [𝐸𝐸𝐸𝐸] ﻒﺼﺘﻨﻣ I ﻦﻴﻋ (ﺃ (3

(𝐸𝐸𝐸𝐸) ﻰﻠﻋ 𝐿𝐿 ـﻟ ﻱﺩﻮﻤﻌﻟﺍ ﻂﻘﺴﻤﻟﺍ 𝑃𝑃 ﻦﻴﻋ (ﺏ ﻞﻴﻄﺘﺴﻣ GLPH ﻥﺃ ﻦﻴﺑ (ﺝ ﻉﻼﺿﻷﺍ ﻱﺯﺍﻮﺘﻣ LKPH ﻥﺃ ﻦﻴﺑ . K ﻲﻓ (GF) ﻊﻄﻘﻳ (HL) ـﻟ ﻱﺯﺍﻮﻤﻟﺍ ﻭ 𝑃𝑃 ﻦﻣ ﺭﺎﻤﻟﺍ ﻢﻴﻘﺘﺴﻤﻟﺍ (4 T ﻲﻓ (PL) ﻊﻄﻘﻳ (GP) ـﻟ ﻱﺯﺍﻮﻤﻟﺍ ﻭ 𝐾𝐾 ﻦﻣ ﺭﺎﻤﻟﺍ ﻢﻴﻘﺘﺴﻤﻟﺍ (5

𝐋𝐋𝐋𝐋𝐋𝐋 ﻭ 𝐋𝐋𝐋𝐋𝐋𝐋 ﻦﻴﺜﻠﺜﻤﻟﺍ ﻥﺭﺎﻗ ( ﺃ 𝐋𝐋𝐋𝐋𝐋𝐋𝐋𝐋 ﻲﻋﺎﺑﺮﻟﺍ ﺔﻌﻴﺒﻁ ﺞﺘﻨﺘﺳﺍ (ﺏ . (𝐋𝐋𝐋𝐋 )⊥(𝐋𝐋𝐏𝐏) ﻥﺃ ﻦﻴﺑ .𝐏𝐏 ﻲﻓ (𝐋𝐋𝐋𝐋) ﻊﻄﻘﻳ (𝐋𝐋𝐋𝐋) ﻰﻠﻋ ﻱﺩﻮﻤﻌﻟﺍ ﻭ 𝐋𝐋 ﻦﻣ ﺭﺎﻤﻟﺍ ﻢﻴﻘﺘﺴﻤﻟﺍ ﻢﺳﺭﺃ ( 6 𝐿𝐿𝐿𝐿 = 3𝑐𝑐𝑐𝑐 ﻥﺃ ﺖﺒﺛﺃ (𝑃𝑃𝑃𝑃) ﻭ (𝑃𝑃𝐾𝐾) ﻊﻁﺎﻘﺗ ﺔﻄﻘﻧ 𝐿𝐿 ﻦﻜﺘﻟ (7