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) 4 (ﻧﻘﺎﻁ .ﻳﻠﻲ ﻛﻞ ﺳﺆﺍﻝ ﺛﻼﺙ ﺇﺟﺎﺑﺎﺕ، ﺃﻧﻘﻞ ﻋﻠﻰ ﻭﺭﻗﺔ ﺗﺤﺮﻳﺮﻙ ﺭﻗﻢ ﺍﻟﺴﺆﺍﻝ ﻭ ﺍﻹﺟﺎﺑﺔ ﺍﻟﺼ

) 4 (ﻧﻘﺎﻁ .ﻳﻠﻲ ﻛﻞ ﺳﺆﺍﻝ ﺛﻼﺙ ﺇﺟﺎﺑﺎﺕ، ﺃﻧﻘﻞ ﻋﻠﻰ ﻭﺭﻗﺔ ﺗﺤﺮﻳﺮﻙ ﺭﻗﻢ ﺍﻟﺴﺆﺍﻝ ﻭ ﺍﻹﺟﺎﺑﺔ ﺍﻟﺼﺤﻴﺤﺔ ﺍﻟﻮﺣﻴﺪﺓ ﺍﻟﻤﻮﺍﻓﻘﺔ ﻟﻪ 1 ( ﺍﻟﻌﺪﺩ3695472ܽ4 ﻳﻘﺒﻞ ﺍ ﻟﻘﺴﻤﺔ ﻋﻠﻰ12 ﺇﺫﺍ ﻛﺎﻧﺖܽ : ﺗﺴﺎﻭﻱ (ﺃ1 (ﺏ2 (ﺝ3 2 ( ﺍﻟﻌﺪﺩ ﺍﻟﺬﻱ ﻳﻘﺒﻞ ﺍﻟﻘﺴﻤﺔ ﻋﻠﻰ12 ﻭ15 : ﻓﻲ ﻧﻔﺲ ﺍﻟﻮﻗﺖ ﻫﻮ (ﺃ 324540 (ﺏ356755 (ﺝ327642 3 ( ﺇﺫﺍ ﻛﺎﻥ(ܱ, ܫ, ܬ) ﻣﻌﻴﻨﺎ ﻣﺘﻌﺎﻣﺪﺍ ﻓﻲ ﺍﻟﻤﺴﺘﻮﻱ ﻓﺈﻥ ﻣﻨﺎﻇﺮﺓ ﺍﻟﻨﻘﻄﺔܲቀ ଶ ଷ, 4ቁ ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻤﺤﻮﺭ(ܱܬ) :ﻫﻲ ﺍﻟﻨﻘﻄﺔ (ﺃܵቀ− ଶ ଷ, 4ቁ (ﺏܵቀ ଶ ଷ, −4ቁ (ﺝܵቀ− ଶ ଷ, −4ቁ 4 ( ﻟﻴﻜﻦ ܣ ﻭܤ ﻧﻘﻄﺘﺎﻥ ﻣﻦ ﻣﺴﺘﻘﻴﻢ ﻣﺪﺭّﺝΔ :ﺣﻴﺚݔ஺= −1 + √2 ﻭݔ஻= − ଷ ଶ+ √2 ﻓﺈﻥ ﺍﻟﺒﻌﺪܣܤ :ﻳﺴﺎﻭﻱ (ﺃ ଵ ଶ (ﺏ1 (ﺝ ଷ ଶ ) 7 (ﻧﻘﺎﻁ ﺃﻭّﻻ : ﻟﻴﻜﻦ ﺍﻟﻌﺪﺩ ܣ= 5ݔ7ݕ ﺣﻴﺚݔ ﻭݕ ﺭﻗﻤﺎﻥ. 1 ( ﺃﻭﺟﺪݔ ﻭݕ ﻟﻴﻜﻮﻥ ﺍﻟﻌﺪﺩܣ ﻗﺎﺑﻼ ﻟﻠﻘﺴﻤﺔ ﻋﻠﻰ12 () ﺍﻋﻂ ﺟﻤﻴﻊ ﺍﻟﺤﻠﻮﻝ ﺍﻟﻤﻤﻜﻨﺔ . 2 ( ﺃﻭﺟﺪ ݔ ﻭݕ ﻟﻴﻜﻮﻥ ﺍﻟﻌﺪﺩܣ ﻗﺎﺑﻼ ﻟﻠﻘﺴﻤﺔ ﻋﻠﻰ15 .() ﺍﻋﻂ ﺟﻤﻴﻊ ﺍﻟﺤﻠﻮﻝ ﺍﻟﻤﻤﻜﻨﺔ ﺛﺎﻧﻴﺎ : 1 ( ﺑﻴﻦ ﺃﻥ ﺍﻟﻌﺪﺩܤ= 3ଶ଴ଶଶ−2 × 27଺଻ଷ ﻳﻘﺒﻞ ﺍﻟﻘﺴﻤﺔ ﻋﻠﻰ15 . 2 ( ﺍﺳﺘﻨﺘﺞ ﺃﻥ ﺍﻟﻌﺪﺩܤ ﻳﻘﺒﻞ ﺍﻟﻘﺴﻤﺔ ﻋﻠﻰ75 ﺛﻢّ ﺃﻭﺟﺪ ﺧﺎﺭﺝ ﺍﻟﻘﺴﻤﺔ. ) 9 (ﻧﻘﺎﻁ ﻟﻴﻜﻦ(ܱ, ܫ, ܬ) : ﻣﻌﻴّﻨﺎ ﻣﺘﻌﺎﻣﺪﺍ ﺣﻴﺚܱܫ= ܱܬ= 1ܿ݉ 1 ( ﺃ( ﺃﺭﺳﻢ ﺍﻟﻨﻘﻄﺘﻴﻦܣ(2; 3) ﻭܤ(−2; 3) . ﺏ( ﺑﻴّﻦ ﺃﻥ ﺍﻟﻨﻘﻄﺘﻴﻦܣ ﻭܤ ﻣﺘﻨﺎﻇﺮﺗﺎﻥ ﺑﺎﻟﻨﺴﺒﺔ ﺇﻟﻰ(ܱܬ) . 2 ( ﺃ( ﺍﺑﻦ ﺍﻟﻨﻘﻄﺔܥ ﻣﻨﺎﻇﺮﺓ ﺍﻟﻨﻘﻄﺔܣ ﺑﺎﻟﻨﺴﺒﺔ ﺇﻟﻰ(ܱܫ) . ، ﺛﻢ ﺣﺪﺩ ﺍﺣﺪﺍﺛﻴﺎﺗﻬﺎ ﺏ( ﺑﻴّﻦ ﺃﻥ ﺍﻟﻨﻘﻄﺘﻴﻦܤ ﻭܥ ﻣﺘﻨﺎﻇﺮﺗﺎﻥ ﺑﺎﻟﻨﺴﺒﺔ ﺇﻟﻰܱ . 3 ( ﺃ( ﺍﺑﻦ ﺍﻟﻨﻘﻄﺔܦ ﺑﺤﻴﺚ ﻳﻜﻮﻥ ﺍﻟﺮﺑﺎﻋﻲܣܥܱܦ . ﻣﺘﻮﺍﺯﻱ ﺃﺿﻼﻉ ﺏ( ﺣﺪﺩ ﺍﺣﺪﺍﺛﻴﺎﺕ ﺍﻟﻨﻘﻄﺔܦ . 4 ( (ﺃ ﺍﺑﻦ ﺍﻟﻨﻘﻄﺔܧ ﻣﻨﺎﻇﺮﺓܦ ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻨﻘﻄﺔܤ ، ﺛﻢّ ﺣﺪﺩ ﺍﺣﺪﺍﺛﻴﺎﺕܧ . ﺏ( ﺍﻟﻤﺴﺘﻘﻴﻢ(ܣܦ) ﻳﻘﻄﻊ(ܱܫ) ﻓﻲ ﺍﻟﻨﻘﻄﺔܨ ، ﺑﻴّﻦ ﺃﻥܧ ﻭܨ ﻣﺘﻨﺎﻇﺮﺗﺎﻥ ﺑﺎﻟﻨﺴﺒﺔ ﺇﻟﻰܱ . (ﺍﺝ ﺛﺒﺖ ﺃﻥ ﺍﻟﺸﻜﻞܣܤܧܨ ﺷﺒﻪ ﻣﻨﺤﺮﻑ ﻣﺘﻘﺎﻳﺲ ﺍﻟﻀﻠﻌﻴﻦ، ﺛﻢّ ﺃﻭﺟﺪ ﻣﺴﺎﺣﺘﻪ ﺩ( ﺃﻭﺟﺪ ﻣﺠﻤﻮﻋﺔ ﺍﻟﻨﻘﺎﻁܯ(ݔ; ݕ) : ﺣﻴﺚݕ= 3 ﻭ−2 ≤ݔ≤2 . ﺍﻟﻤﻨﺪﻭﺑﻴﺔ ﺍﻟﺠﻬﻮﻳﺔ ﻟﻠﺘﺮﺑﻴﺔ ﻭ ﺍﻟﺘﻌﻠﻴﻢ ﺑﺴﻮﺳﺔ ﺍﻟﻤﺪﺭﺳﺔ ﺍﻹﻋﺪﺍﺩﻳﺔ ﺑﺴﻴﺪﻱ ﺍﻟﻬﺎﻧﻲ ﺍﻷﺳــــﺘﺎﺫّ: ﺧﻤـﻴ ـﺲ ﺑـﻮﻫﻼﻝ :ﺍﻹﺳﻢ ﻭ ﺍﻟﻠﻘﺐ ﺍﻟـﻘﺴــ :ﻢ ﺗﺎﺳﻌﺔ ....... ﺃﺳﺎﺳﻲ ﺍﻟﺴﻨﺔ ﺍﻟﺪﺭﺍﺳﻴﺔ ﻓـﺮﺽ ﻣـﺮﺍﻗـﺒـﺔ ﻋــــــــــــــــــﺪﺩ 1 ﻓﻲ ﻣﺎﺩﺓ ﺍﻟـــ ﺎﺿ ـﺮﻳ ﻴ ﺎﺕ 00:45 2019 - 2020 م ☜ uploads/s1/ devoir-de-controle-n01-2019-2020-college-sidi-elheni.pdf