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10 views1 page

Serie1 2

Uploaded by

Smail RCA
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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‫ﺃﻭﻟﻤﺒﻴﺎﺩ ﺍﻟﺮﻳﺎﺿﻴﺎﺕ ­ ﺳﻠﺴﻠﺔ ‪j‬‬

‫ﻣﻦ ﺍﻗﺘﺮﺍﺡ ﺃﺫ ‪ :‬ﻟﺨﺮﻳﺴﻲ ﺳﻤﻴﺮ‬


‫‪www.naja7math.com‬‬ ‫ﺗﻤﺮﻳﻦ ‪1‬‬

‫‪1‬‬ ‫‪1‬‬
‫‪x+‬‬ ‫‪ ٬‬ﺍﺣﺴﺐ‬ ‫‪x2 +‬‬ ‫‪ x ³‬ﻋﺪﺩ ﺣﻘﻴﻘﻲ ﻣﻮﺟﺐ ﻗﻄﻌﺎ ﺣﻴﺚ ‪= 14 :‬‬
‫‪x‬‬ ‫‪x2‬‬

‫‪www.naja7math.com‬‬ ‫ﺗﻤﺮﻳﻦ ‪2‬‬

‫‪a b c d‬‬
‫ﻟﺘﻜﻦ ‪ a‬ﻭ ‪ b‬ﻭ ‪ c‬ﻭ ‪ d‬ﺃﻋﺪﺍﺩ ﺣﻘﻴﻘﻴﺔ ﻣﻮﺟﺒﺔ ﻗﻄﻌﺎ ‪ ٬‬ﺑﻴﻦ ﺃﻥ ‪+ + + ³ 4 :‬‬
‫‪b c d a‬‬

‫‪www.naja7math.com‬‬ ‫ﺗﻤﺮﻳﻦ ‪3‬‬

‫)‪B = 2009(1 + 2 + ... + 2008‬‬ ‫ﻭ‬ ‫)‪A = 2008(1 + 2 + ... + 2009‬‬ ‫‪ ³‬ﻗﺎﺭﻥ ﺍﻟﻌﺪﺩﻳﻦ ‪:‬‬

‫‪www.naja7math.com‬‬ ‫ﺗﻤﺮﻳﻦ ‪4‬‬

‫‪ ABC‬ﻣﺜﻠﺚ ﻗﺎﺋﻢ ﺍﻟﺰﺍﻭﻳﺔ ﻓﻲ ‪ A‬ﺣﻴﺚ ‪ AB = 8 :‬ﻭ ‪AC = 6‬‬


‫ﺷﻌﺎﻉ ﺍﻟﺪﺍﺋﺮﺓ ﺍﻟﻤﺤﺎﻃﺔ ﺑﻪ‬ ‫‪ ³‬ﺍﺣﺴﺐ ‪R‬‬

‫‪www.naja7math.com‬‬ ‫ﺗﻤﺮﻳﻦ ‪5‬‬

‫ﻣﻨﺘﺼﻒ ] ‪[DC‬‬ ‫‪ ABCD‬ﻣﺮﺑﻊ ﻃﻮﻝ ﺿﻠﻌﻪ ‪I ٬ a = 8‬‬


‫‪ M‬ﻧﻘﻄﺔ ﺩﺍﺧﻞ ﺍﻟﻤﺮﺑﻊ ﺣﻴﺚ ‪AM = BM = IM‬‬
‫‪ ³‬ﺍﺣﺴﺐ ‪AM‬‬

‫ﺭﻳﺎﺿﻴــــﺎﺕ ﺍﻟﻨﺠـــــــــــﺎﺡ‬
‫‪www.naja7math.com‬‬

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