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  1. 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: =‬ ‫2ﻥ‬‫‪D‬‬ ‫‪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 ‫‪http://mowahadi.blogspot.com‬‬

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