ﺍﻟﺘﻤﺮﻳﻦ ﻋـــ1ـــﺪﺩ : ) 5 ﻧﻘﺎﻁ( ﻓﻲ ﺍﻟﻮﺭﻗﺔ ﺍﻟﻤﺼﺎﺣﺒﺔ ﺍﻟﺘﻤﺮﻳﻦ ﻋـــ2ـــﺪﺩ : ) 7 (ﻧﻘﺎ

ﺍﻟﺘﻤﺮﻳﻦ ﻋـــ1ـــﺪﺩ : ) 5 ﻧﻘﺎﻁ( ﻓﻲ ﺍﻟﻮﺭﻗﺔ ﺍﻟﻤﺼﺎﺣﺒﺔ ﺍﻟﺘﻤﺮﻳﻦ ﻋـــ2ـــﺪﺩ : ) 7 (ﻧﻘﺎﻁ 1 ( ﻧﻌﺘﺒﺮ ﺍﻟﻌﺒﺎﺭﺗﻴﻦE ﻭF ﺍﻟﺘﺎﻟﻴﺘﻴﻦ ﺣﻴﺚa : ﻋﺪﺩ ﺣﻘﻴﻘﻲ            + − −       − = 3 4 5 2 3 2 a E ( ) ( ) [ ]       − − − − − = a a a F 5 6 5 2 , 1 ﺃ\ ﺇﺧﺘﺼﺮ ﻛﻼ ﻣﻦ ﺍﻟﻌﺒﺎﺭﺗﻴﻦE ﻭF . : ﺏ\ ﺃﺣﺴﺐ ﺍﻟﻤﺠﻤﻮﻉF E + . ﻣﺎﺫﺍ ﺗﻼﺣﻆ؟ 2 ( ﺑﻴﻦ ﺃﻥ ﺍﻟﻌﺪﺩ) 5 2 ( + ﻫﻮ ﻣﻘﻠﻮﺏ ﺍﻟﻌﺪﺩ) 2 5 ( − . ﺍﻟﺘﻤﺮﻳﻦ ﻋـــ3ـــﺪﺩ : ) 8 (ﻧﻘﺎﻁ 1 ( ﺃﺭﺳﻢ ﻣﻌﻴﻨﺎ ﻣﺘﻌﺎﻣﺪﺍ ﻓﻲ ﺍﻟﻤﺴﺘﻮﻱ) ; ; ( J I O ﺛﻢ ﻋﻴﻦ ﺍﻟﻨﻘﻄﺘﻴﻦ) 4 ; 5 ( A ﻭ) 2 ; 3 ( − − C *ﺃﺣﺴﺐ ﺍﺣﺪﺍﺛﻴﺎﺕ ﺍﻟﻨﻘﻄﺔP ﻣﻨﺘﺼﻒ ﻗﻄﻌﺔ ﺍﻟﻤﺴﺘﻘﻴﻢ] [AC . ﺛﻢ ﻋﻴﻨﻬﺎ ﻋﻠﻰ ﺍﻟﺮﺳﻢ 2 ( ﻋﻴﻦ ﺍﻟﻨﻘﻄﺘﻴﻦ) 3 ; 2 ( − B ﻭ) 5 ; 0 ( D . * ﺑﻴﻦ ﺃﻥ ﺍﻟﺮﺑﺎﻋﻲABCD . ﻣﺘﻮﺍﺯﻱ ﺃﺿﻼﻉ 3 ( ﻟﺘﻜﻦ ﺍﻟﻨﻘﻄﺔ' C ﻣﻨﺎﻇﺮﺓ ﺍﻟﻨﻘﻄﺔC ﺑﺎﻟﻨﺴﺒﺔ ﺇﻟﻰ) (OJ . ﺃ\ ﻣﺎﻫﻲ ﺇﺣﺪﺍﺛﻴﺎﺕ ﺍﻟﻨﻘﻄﺔ' C ؟ ﺏ\ ﺑﻴﻦ ﺃﻥ ﺍﻟﻤﺜﻠﺚ' DCC . ﻣﺘﻘﺎﻳﺲ ﺍﻟﻀﻠﻌﻴﻦ 4 ( ﺃ\ ﻣﺎﻫﻲ ﻣﺠﻤﻮﻋﺔ ﺍﻟﻨﻘﺎﻁ) ; ( y x M ﺑﺤﻴﺚ3 3 ≤ ≤ − x ﻭ2 − = y ؟ ﺏ\ ﻣﺎﻫﻲ ﻣﺠﻤﻮﻋﺔ ﺍﻟﻨﻘﺎﻁ) ; ( y x N ﺑﺤﻴﺚ0 = x ﻭ5 ≤ y ؟ ﻓـــــــﺮﺽ ﻣـــﺮﺍﻗــــﺒـــﺔ ﻋـــــ2 ـــــﺪﺩ ﻓــــﻲ ﺍﻟــﺮﻳــــﺎﺿﻴــــﺎﺕ :ﺍﻟﺘﺎﺭﻳﺦ19 / 11 / 2011 :ﺍﻟــﻘﺴــــﻢ9ﺃﺳـــﺎﺳـــﻲ4 ﺇﻋــﺪﺍﺩﻳـﺔ ﻣﻄﻤـﺎﻃﺔ ﺍﻟﺠـﺪﻳـﺪﺓ ﻓـــﺎﺭﻭﻕ ﺑـﺤـــﺎﺭ :ﺍﻷﺳــﺘــﺎﺫ ﻋﻤﻼ ﻣﻮﻓﻘﺎ ﺍﻟﺘﻤﺮﻳﻦ ﻋـــ1ـــﺪﺩ : ) 5 (ﻧﻘﺎﻁ 1 :"( ﺃﺟﺐ ﺑـ "ﺻﺤﻴﺢ" ﺃﻭ "ﺧﻄﺄ ﺃ\ ﺇﺫﺍ ﻛﺎﻥ) ; ; ( J I O ﻣﻌﻴﻨﺎ ﻓﻲ ﺍﻟﻤﺴﺘﻮﻱ ﻓﺈﻥ ﻛﻞ ﻧﻘﺎﻁ ﺍﻟﻤﺴﺘﻘﻴﻢ ﺍﻟﻤﻮﺍﺯﻱ ﻟـ) (OI ﻟﻬﺎ ﻧﻔﺲ ﺍﻟﻔﺎﺻﻠﺔ .................. ﺏ\ ﺇﺫﺍ ﻛﺎﻥ) ; ; ( J I O ﻣﻌﻴﻨﺎ ﻣﺘﻌﺎﻣﺪﺍ ﻓﻲ ﺍﻟﻤﺴﺘﻮﻱ ﻭM ﻧﻘﻄﺔ ﺫﺍﺕ ﺍﻹﺣﺪﺍﺛﻴﺎﺕ) ; ( y x ﻓﺈﻥ ﺇﺣﺪﺍﺛﻴﺎﺕ ﺍﻟﻨﻘﻄﺔ' M ﻣﻨﺎﻇﺮﺓM ﺑﺎﻟﻨﺴﺒﺔ ﺍﻟﻰ) (OJ ﻫﻲ) ; ( y x − .................... 2 " ( ﺿﻊ ﺍﻟﻌﻼﻣﺔ :" ﺃﻣﺎﻡ ﺍﻟﻤﻘﺘﺮﺡ ﺍﻟﺼﺤﻴﺢ ﺃ\ ﺇﺫﺍ ﻛﺎﻥ ﺍﻟﻌﺪﺩ ﺍﻟﺤﻘﻴﻘﻲa ﻫﻮ ﻣﻘﻠﻮﺏ ﺍﻟﻌﺪﺩ ﺍﻟﺤﻘﻴﻘﻲb : ﻓﺈﻥ 0 = × b a ؛1 = × b a ؛0 = −b a ﺏ\ ﺇﺫﺍa ﻭb ﻋﺪﺩﻳﻦ ﺣﻘﻴﻘﻴﻴﻦ ﺑﺤﻴﺚ0 = + b a : ﻓﺈﻥ a ﻭb ﻣﺘﺴﺎﻭﻳﺎﻥ ؛a ﻭb ﻣﺘﻘﺎﺑﻼﻥ ؛a ﻭb . ﻣﻘﻠﻮﺑﺎﻥ 3 ( ﺃﻛﺘﺐ ﺍﻟﻌﺒﺎﺭﺗﻴﻦ ﺍﻟﺘﺎﻟﻴﺘﻴﻦ ﺩﻭﻥ ﺃﻗﻮﺍﺱ ﺣﻴﺚa ؛b ﻭc . ﺛﻼﺛﺔ ﺃﻋﺪﺍﺩ ﺣﻘﻴﻘﻴﺔ . .......... .......... ) ( = − − b a ؛......... .......... .......... ) ( = + − c b a ﺭﺳﻢ ﺍﻟﺘﻤﺮﻳﻦ ﻋــ3ــﺪﺩ : :ﺍﻹﺳﻢ ........................................................... :ﺍﻟﻠﻘﺐ ............................................ :ﺍﻟﻘﺴﻢ..................................... uploads/s1/ devoir-de-controle-n02-math-9eme-2011-2012-mr-bahar-farouk-2.pdf

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