Thales

‫ﻁﺎﻟﻴﺱ‬ ‫ﻤﺒﺭﻫﻨﺔ‬‫ﺍ‬‫ﻨﺠ‬‫ﺍﻷﺴﺘﺎﺫ‬ ‫ﺎﺯ‬:‫ﺸﻬﺒﻲ‬ ‫ﻋﺯﺍﻟﺩﻴﻥ‬‫ﺍﻟﻔﻁﻭﺍﻜﻲ‬ ‫ﺤﻤﺎﻥ‬ ‫ﺍﻹﻋﺩﺍﺩﻴﺔ‬ ‫ﺍﻟﺜﺎﻨﻭﻴﺔ‬ www. madariss. fr ‫ﻃﺎﻟﻴﺲ‬ ‫ﻣﺒﺮهﻨﺔ‬ ‫اﻟﻤﺒﺎﺷﺮة‬ ‫اﻟﻤﺒﺮهﻨﺔ‬–‫اﻟﻤﺒﺮهﻨﺔ‬‫اﻟﻌﻜﺴﻴﺔ‬ ‫اﻟﻤﺒﺎﺷﺮة‬ ‫اﻟﻤﺒﺮهﻨﺔ‬: ‫ﻟﻴﻜﻦ‬)( 1d‫و‬)( 2d‫ﻓﻲ‬ ‫ﻳﺘﻘﺎﻃﻌﺎن‬ ‫ﻣﺴﺘﻘﻴﻤﻴﻦ‬ ‫اﻟﻨﻘﻄﺔ‬A... More

‫ﻁﺎﻟﻴﺱ‬ ‫ﻤﺒﺭﻫﻨﺔ‬‫ﺍ‬‫ﻨﺠ‬‫ﺍﻷﺴﺘﺎﺫ‬ ‫ﺎﺯ‬:‫ﺸﻬﺒﻲ‬ ‫ﻋﺯﺍﻟﺩﻴﻥ‬‫ﺍﻟﻔﻁﻭﺍﻜﻲ‬ ‫ﺤﻤﺎﻥ‬ ‫ﺍﻹﻋﺩﺍﺩﻴﺔ‬ ‫ﺍﻟﺜﺎﻨﻭﻴﺔ‬ www. madariss. fr ‫ﻃﺎﻟﻴﺲ‬ ‫ﻣﺒﺮهﻨﺔ‬ ‫اﻟﻤﺒﺎﺷﺮة‬ ‫اﻟﻤﺒﺮهﻨﺔ‬–‫اﻟﻤﺒﺮهﻨﺔ‬‫اﻟﻌﻜﺴﻴﺔ‬ ‫اﻟﻤﺒﺎﺷﺮة‬ ‫اﻟﻤﺒﺮهﻨﺔ‬: ‫ﻟﻴﻜﻦ‬)( 1d‫و‬)( 2d‫ﻓﻲ‬ ‫ﻳﺘﻘﺎﻃﻌﺎن‬ ‫ﻣﺴﺘﻘﻴﻤﻴﻦ‬ ‫اﻟﻨﻘﻄﺔ‬A ‫اﻟﻨﻘﻄﺘﺎن‬ ‫ﻟﺘﻜﻦ‬B‫و‬M‫ﻣﻦ‬)( 1d‫ﻋﻦ‬ ‫ﺗﺨﺘﻠﻔﺎن‬A ‫اﻟﻨﻘﻄﺘﺎن‬ ‫ﻟﺘﻜﻦ‬C‫و‬N‫ﻣﻦ‬)( 2d‫ﻋﻦ‬ ‫ﺗﺨﺘﻠﻔﺎن‬A ‫آﺎن‬ ‫إذا‬:(MN)//(BC)‫ﻓﺈن‬: MN BC AN AC AM AB == ‫اﻟﻌﻜﺴﻴﺔ‬ ‫اﻟﻤﺒﺮهﻨﺔ‬: ‫ﻟﻴﻜﻦ‬)( 1d‫و‬)( 2d‫اﻟﻨﻘﻄﺔ‬ ‫ﻓﻲ‬ ‫ﻳﺘﻘﺎﻃﻌﺎن‬ ‫ﻣﺴﺘﻘﻴﻤﻴﻦ‬A ‫اﻟﻨﻘﻄﺘﺎن‬ ‫ﻟﺘﻜﻦ‬B‫و‬M‫ﻣﻦ‬)( 1d‫ﻋﻦ‬ ‫ﺗﺨﺘﻠﻔﺎن‬A ‫اﻟﻨﻘﻄﺘﺎن‬ ‫ﻟﺘﻜﻦ‬C‫و‬N‫ﻣﻦ‬)( 2d‫ﻋﻦ‬ ‫ﺗﺨﺘﻠﻔﺎن‬A ‫آﺎن‬ ‫إذا‬: AN AC AM AB =‫اﻟﻨﻘﻂ‬ ‫آﺎﻧﺖ‬ ‫وإذا‬A‫و‬B‫و‬M‫اﻟﻨﻘﻂ‬ ‫و‬َA‫و‬C‫و‬N‫اﻟﺘﺮﺗﻴﺐ‬ ‫ﻧﻔﺲ‬ ‫ﻓﻲ‬، ‫ﻓﺈن‬:(MN)//(BC) ‫ﺗﻄﺒﻴﻘﺎت‬ 1–‫اﻟﻤﻨﺤﺮف‬ ‫ﺷﺒﻪ‬ ‫ﻋﻠﻰ‬ ‫ﺗﻄﺒﻴﻘﺎت‬: ‫ﺧﺎﺻﻴﺔ‬: ABCD‫ﻗﺎﻋﺪﺗﺎﻩ‬ ‫ﻣﻨﺤﺮف‬ ‫ﺷﺒﻪ‬[AB]‫و‬[CD] ((AB)//(DC))‫و‬(D)‫ﻳﻘﻄﻊ‬ ‫ﻣﺴﺘﻘﻴﻢ‬(AD)‫ﻓﻲ‬M ‫و‬(BC)‫ﻓﻲ‬N. ‫آﺎن‬ ‫إذا‬:(D)//(AB))‫أو‬(D)//(DC)( ‫ﻓﺈن‬: BC BN AD AM = 2-‫اﻟﻤﺜﻠﺚ‬ ‫ﻋﻠﻰ‬ ‫ﺗﻄﺒﻴﻘﺎت‬ ‫ﺧﺎﺻﻴﺔ‬: ABC‫ﻣﺜﻠﺚ‬ ‫آﺎﻧﺖ‬ ‫إذا‬M‫ﻧﻘﻄﺔ‬‫ﻣﻦ‬(AB)‫و‬N‫ﻣﻦ‬ ‫ﻧﻘﻄﺔ‬(AC) ‫ﺑﺤﻴﺚ‬:(MN)//(BC) Less