racines

‫اﻧﺠﺎز‬ ‫اﻟﻤﺮﺑﻌﺔ‬ ‫اﻟﺠﺬور‬:‫اﻹﻋﺪادﻳﺔ‬ ‫اﻟﺜﺎﻧﻮﻳﺔ‬ ‫ﺷﻬﺒﻲ‬ ‫ﻋﺰاﻟﺪﻳﻦ‬ ‫اﻷﺳﺘﺎذ‬:‫اﻟﻔﻄﻮاآﻲ‬ ‫ﺣﻤﺎن‬ www. madariss. fr 1 ‫اﻟﻤﺮﺑﻌﺔ‬ ‫اﻟﺠﺬور‬ ‫ﺧﺎﺻﻴﺎت‬ ‫ﺗﻌﺮﻳﻒ‬ a‫و‬x‫ﻣﻮﺟﺒﺎن‬ ‫ﺣﻘﻴﻘﻴﺎن‬ ‫ﻋﺪدان‬. ax =‫ﺗﻜﺎﻓﺊ‬ax =2 . ‫ﻣﺜﺎل‬:24 =‫ﺗﻜﺎﻓﺊ‬24 2 = a‫ﻗﻄﻌﺎ‬ ‫ﻣﻮﺟﺐ‬ ‫ﺣﻘﻴﻘﻲ‬... More

‫اﻧﺠﺎز‬ ‫اﻟﻤﺮﺑﻌﺔ‬ ‫اﻟﺠﺬور‬:‫اﻹﻋﺪادﻳﺔ‬ ‫اﻟﺜﺎﻧﻮﻳﺔ‬ ‫ﺷﻬﺒﻲ‬ ‫ﻋﺰاﻟﺪﻳﻦ‬ ‫اﻷﺳﺘﺎذ‬:‫اﻟﻔﻄﻮاآﻲ‬ ‫ﺣﻤﺎن‬ www. madariss. fr 1 ‫اﻟﻤﺮﺑﻌﺔ‬ ‫اﻟﺠﺬور‬ ‫ﺧﺎﺻﻴﺎت‬ ‫ﺗﻌﺮﻳﻒ‬ a‫و‬x‫ﻣﻮﺟﺒﺎن‬ ‫ﺣﻘﻴﻘﻴﺎن‬ ‫ﻋﺪدان‬. ax =‫ﺗﻜﺎﻓﺊ‬ax =2 . ‫ﻣﺜﺎل‬:24 =‫ﺗﻜﺎﻓﺊ‬24 2 = a‫ﻗﻄﻌﺎ‬ ‫ﻣﻮﺟﺐ‬ ‫ﺣﻘﻴﻘﻲ‬ ‫ﻋﺪد‬)a>0. ( ‫ﻳﺤﻘﻘﺎن‬ ‫ﺣﻘﻴﻘﻴﺎن‬ ‫ﻋﺪدان‬ ‫ﻳﻮﺟﺪ‬ax =2 ‫هﻤﺎ‬:ax =1‫و‬ax −=2 ‫ﻣﺜﺎل‬:22 =x‫ﺗﻜﺎﻓﺊ‬2=x‫أو‬2−=x a‫و‬b‫ﻗﻄﻌﺎ‬ ‫ﻣﻮﺟﺒﺎن‬ ‫ﺣﻘﻴﻘﻴﺎن‬ ‫ﻋﺪدان‬ a a a = 1 , b a b a =,baab = ba =‫ﻳ‬‫ﻜﺎﻓﺊ‬ba = ‫آﺎن‬ ‫إذا‬a‫ﻣﻮﺟﺒﺎ‬ ‫ﺣﻘﻴﻘﻴﺎ‬ ‫ﻋﺪدا‬ ‫ﻟﻠﻌﺪد‬ ‫اﻟﻤﺮﺑﻊ‬ ‫اﻟﺠﺬر‬ ‫ﻓﺈن‬a‫هﻮ‬: ‫ﻣﺮﺑﻌﻪ‬ ‫اﻟﺬي‬ ‫اﻟﻌﺪد‬a ‫ب‬ ‫ﻟﻪ‬ ‫ﻧﺮﻣﺰ‬a‫أي‬( ) aa = 2 ‫اﻟﺘﻤﺎرﻳﻦ‬ ‫ﻧﺼﻮص‬ 1(‫أﺣﺴﺐ‬81,144,8 4 ,752 624 ××, 36 49 ,10 6− 0025,0,123 ×, 54 24 , 2(‫أﺣﺴﺐ‬( )5 2 ,( )11 2 −,( )53 3 ,        − 4 7 2 3(‫أﺗﻤﻢ‬7. . . . . . =, 5 8 . . . . . . =,52. . . . . . 3 ×= 4(a‫و‬b‫و‬c‫ﻗﻄﻌﺎ‬ ‫ﻣﻮﺟﺒﺔ‬ ‫ﺟﺬرﻳﺔ‬ ‫أﻋﺪاد‬ ‫ﺑﺴﻂ‬ba 42 ×,cba 264 9, c ba 10 86 4 5(‫ﺑﺴﻂ‬ 70011263 +−,396611001099 −− Less