1. ‫ﺍﻟﺴﻨﺔ ﺍﻟﺪﺭﺍﺳﻴﺔ : 9002 / 0102‬ ‫ﺍﻻﺧﺘﺒﺎﺭ ﺍﻟﻤﻮﺣﺪ ﺍﻟﻤﺤﻠﻲ ﻟﻤﺎﺩﺓ ﺍﻟﺮﻳﺎﺿﻴﺎﺕ‬ ‫ﺍﻟﺜﺎﻧﻮﻳﺔ ﺍﻹﻋﺪﺍﺩﻳﺔ ﺍﻟﻤﻐﺮﺏ ﺍﻟﻌﺮﺑﻲ‬
‫ﻣﺪﺓ ﺍﻹﻧﺠــــــﺎﺯ: ﺳﺎﻋــﺘــــــــﺎﻥ‬ ‫ﻟﻠﺴﻨﺔ ﺍﻟﺜﺎﻟﺜﺔ ﺛﺎﻧﻮﻱ ﺇﻋــﺪﺍﺩﻱ‬ ‫ﺗﺎﻭﺭﻳـــــــــــــــﺮﺕ‬
‫ﻻ ﻳﺴﻤﺢ ﺑﺎﺳﺘﻌﻤﺎﻝ ﺍﻵﻟـــﺔ ﺍﻟﺤﺎﺳﺒﺔ‬
‫ﻧﻘﻂ(‬ ‫ﺍﻟﺘﻤﺮﻳﻦ ﺍﻷﻭﻝ : )4‬
‫1-‬
‫3-‬ ‫7‬ ‫‪æ3ö‬‬ ‫5‬
‫=‪D‬‬ ‫+‬ ‫+ ÷ ‪٬ C = 3 2 + 50 - 8 ٬ B = ç‬‬ ‫)3 (‬ ‫2-‬
‫٬‬ ‫=‪A‬‬ ‫‪ j‬ﺑﺴﻂ ﻣﺎ ﻳﻠﻲ:‬ ‫3ﻥ‬
‫7 -3‬ ‫7 +3‬ ‫‪è5ø‬‬ ‫2 3‬
‫000000005 ´ 40000 , 0 = ‪K‬‬ ‫‪ k‬ﺃﻛﺘﺐ ﻋﻠﻰ ﺷﻜﻞ ﻛﺘﺎﺑﺔ ﻋﻠﻤﻴﺔ ﺍﻟﻌﺪﺩ:‬ ‫1ﻥ‬
‫)4 ﻧﻘﻂ(‬ ‫ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺜﺎﻧﻲ :‬
‫‪ x j‬ﻭ ‪ y‬ﻋﺪﺩﺍﻥ ﺣﻘﻴﻘﻴﺎﻥ ﺣﻴﺚ: 5 £ ‪ 1 £ x‬ﻭ 2 £ ‪- 3 £ y‬‬
‫‪2x- y‬‬ ‫٬‬ ‫ﺃ­ ﺃﻃﺮ ﺍﻷﻋﺪﺍﺩ ﺍﻟﺘﺎﻟﻴﺔ : ‪x + y‬‬ ‫2ﻥ‬
‫8+‪y‬‬ ‫1ﻥ‬
‫£1‬ ‫ﺏ­ ﺑﻴﻦ ﺃﻥ: 01 £‬
‫‪x‬‬
‫1‬
‫+‪a‬‬ ‫‪ a k‬ﻋﺪﺩ ﺣﻘﻴﻘﻲ ﻣﻮﺟﺐ ﻗﻄﻌﺎ. ﺑﻴﻦ ﺃﻥ: 2 ³‬ ‫1ﻥ‬
‫‪a‬‬
‫)5 ﻧﻘﻂ(‬ ‫ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺜﺎﻟﺚ :‬
‫‪ MNP j‬ﻣﺜﻠﺚ ﻗﺎﺋﻢ ﺍﻟﺰﺍﻭﻳﺔ ﻓﻲ ‪ M‬ﺣﻴﺚ : 6 = ‪ MP‬ﻭ 3 = ‪MN‬‬
‫ﺃ­ ﺑﻴﻦ ﺃﻥ 5 3 = ‪PN‬‬ ‫1ﻥ‬
‫(‬
‫ˆ‬ ‫ˆ‬ ‫)‬
‫ﺏ­ ﺃﺣﺴﺐ: ‪ sin MP N‬ﻭ ‪tan MP N‬‬‫(‬ ‫)‬ ‫1ﻥ‬
‫ﺝ­ ﻟﺘﻜﻦ ‪ I‬ﻣﻨﺘﺼﻒ ﺍﻟﻘﻄﻌﺔ ] ‪ [MP‬ﻭ ‪ H‬ﻣﺴﻘﻄﻬﺎ ﺍﻟﻌﻤﻮﺩﻱ ﻋﻠﻰ ﺍﻟﻤﺴﺘﻘﻴﻢ ) ‪ ٬ (PN‬ﺃﻭﺟﺪ : ‪ IH‬ﻭ ‪PH‬‬ ‫1ﻥ‬
‫ﺩ­ ﻟﺘﻜﻦ ‪ E‬ﻣﻤﺎﺛﻠﺔ ‪ P‬ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻨﻘﻄﺔ ‪ ٬ H‬ﺑﻴﻦ ﺃﻥ ﺍﻟﻤﺜﻠﺜﻴﻦ ‪ IHP‬ﻭ ‪ IHE‬ﻣﺘﻘﺎﻳﺴﺎﻥ.‬ ‫1ﻥ‬
‫‪ a k‬ﻗﻴﺎﺱ ﺯﺍﻭﻳﺔ ﺣﺎﺩﺓ ﻭ ﻏﻴﺮ ﻣﻨﻌﺪﻣﺔ ﺣﻴﺚ: 5 = ‪ ٬ 3 cos a‬ﺍﺣﺴﺐ ‪. tan a‬‬ ‫1ﻥ‬
‫ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺮﺍﺑﻊ :)4 ﻧﻘﻂ(‬
‫‪A‬‬ ‫‪I‬‬ ‫‪B‬‬ ‫‪ ABCD‬ﺷﺒﻪ ﻣﻨﺤﺮﻑ ﻗﺎﻋﺪﺗﺎﻩ ]‪ [ AB‬ﻭ ] ‪ [CD‬ﺑﺤﻴﺚ :‬
‫6 = ‪ AB‬ﻭ 9 = ‪ ٬ CD‬ﻭ ﻟﺘﻜﻦ ‪ I‬ﻣﻨﺘﺼﻒ ]‪) [ AB‬ﺃﻧﻈﺮ ﺍﻟﺸﻜﻞ(‬
‫ﺍﻟﻤﺴﺘﻘﻴﻤﺎﻥ ) ‪ (IC‬ﻭ ) ‪ ( AD‬ﻳﺘﻘﺎﻃﻌﺎﻥ ﻓﻲ ﺍﻟﻨﻘﻄﺔ ‪E‬‬
‫ﻭ ﺍﻟﻤﺴﺘﻘﻴﻤﺎﻥ ) ‪ (ID‬ﻭ ) ‪ (BC‬ﻳﺘﻘﺎﻃﻌﺎﻥ ﻓﻲ ﺍﻟﻨﻘﻄﺔ ‪F‬‬
‫‪ j‬ﺃﻧﻘﻞ ﺍﻟﺸﻜﻞ ﻭ ﺃﺗﻤﻤﻪ‬ ‫1ﻥ‬
‫1 ‪FI‬‬ ‫1 ‪EI‬‬
‫ﻭ ﺃﻥ: =‬ ‫‪ k‬ﺑﻴﻦ ﺃﻥ: =‬ ‫2ﻥ‬
‫‪D‬‬ ‫‪C‬‬ ‫3 ‪FD‬‬ ‫3 ‪EC‬‬
‫‪ l‬ﺑﻴﻦ ﺃﻥ : ) ‪(EF ) // (DC‬‬ ‫1ﻥ‬
‫‪A‬‬ ‫ﻧﻘﻂ(‬ ‫ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺨﺎﻣﺲ :)3‬
‫ˆ‬
‫‪ A‬ﻭ ‪ B‬ﻭ ‪ C‬ﻧﻘﻂ ﻣﻦ ﺩﺍﺋﺮﺓ ) ‪ (z‬ﻣﺮﻛﺰﻫﺎ ‪ O‬ﺣﻴﺚ: °04 = ‪BAC‬‬
‫°04‬
‫‪ j‬ﺃﻧﻘﻞ ﺍﻟﺸﻜﻞ‬ ‫1ﻥ‬
‫‪O‬‬ ‫ˆ‬
‫‪ k‬ﺃﺣﺴﺐ: ‪BOC‬‬ ‫1ﻥ‬
‫‪B‬‬
‫ˆ‬
‫‪ l‬ﻟﺘﻜﻦ ‪ M‬ﻧﻘﻄﺔ ﻣﻦ ﺍﻟﻘﻮﺱ ﺍﻟﺼﻐﺮﻯ ‪ ٬ BC‬ﺃﺣﺴﺐ: ‪BMC‬‬ ‫1ﻥ‬
‫‪C‬‬
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