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‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫ﺔ‬‫ﺔ‬‫ﺔ‬‫ﺔ‬::::
))))((((‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬
ًًًً
‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬
ًًًً
....‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬
‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫س‬‫س‬‫س‬‫س‬....‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫س‬‫س‬‫س‬‫س‬....
‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﻉ‬=××××%‫؛‬٨‫؛‬١=‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////، ‫ث‬، ‫ث‬، ‫ث‬، ‫ث‬‫ﻉ‬=××××%‫؛‬٨‫؛‬١=‫م‬‫م‬‫م‬‫م‬////‫ث‬‫ث‬‫ث‬‫ث‬
‫ﰈ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻕ‬××××‫ﻉ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬))))‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬: (: (: (: (‫ﻕ‬=‫ﻡ‬
‫ﺇ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻡ‬××××‫ﻉ‬‫ﺇ‬××××=‫ﻡ‬××××‫ﺇ‬‫ﻡ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬
‫ﰈ‬‫ﻡ‬‫ﻉ‬‫ﺇ‬=‫ﺇ‬=
‫ﺇ‬‫ﻡ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﺇ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬=÷÷÷÷=‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬
‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،=‫ك‬‫ك‬‫ك‬‫ك‬××××‫ع‬‫ع‬‫ع‬‫ع‬=××××=‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬
))))((((‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬,,,,‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬....‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬
ّّّّ
‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬::::
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬
ًًًً
....
‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬
ًًًً
....
‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬
ًًًً
::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﺳ‬‫ﺳ‬‫ﺳ‬‫ﺳ‬‫ﻢ‬‫ﻢ‬‫ﻢ‬‫ﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬
ًًًً
....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ُُُُ
::::‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬::::‫ﺭ‬=‫ﻙ‬õ=,,,,‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬=,,,,××××,,,,=,,,,‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬
‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬,,,,‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬::::‫ﺭ‬–‫ﻙ‬õ=‫ﺝ‬ ‫ﻙ‬
‫ﺭ‬–,,,,××××,,,,=,,,,××××,,,,
‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=,,,,‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬=‫ث‬‫ث‬‫ث‬‫ث‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬
‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬
ًًًً
::::‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬,,,,‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬::::‫ﻙ‬õ–‫ﺭ‬=‫ﺝ‬ ‫ﻙ‬
,,,,××××,,,,–‫ﺭ‬=,,,,××××,,,,
‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=,,,,‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬=,,,,÷÷÷÷,,,,=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬
‫ﻡ‬
‫ﻡ‬
‫ﻉ‬
‫ﻉ‬‫ﻡ‬
www.mathtop4.alafdal.net
--------
))))((((‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬*‫؛‬٩‫؛‬٤‫اﺠﺗﺎه‬ Ș‫و‬‫اﺠﺗﺎه‬ Ș‫و‬‫اﺠﺗﺎه‬ Ș‫و‬‫اﺠﺗﺎه‬ Ș‫و‬
‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬....‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬
‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫ﰈ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬
‫ﺝ‬ ‫ﺇ‬=-õ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=-××××*‫؛‬٩‫؛‬٤=-‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬
‫ﰈ‬‫ﻉ‬=‫ﻉ‬++++‫ﺝ‬‫ف‬‫ف‬‫ف‬‫ف‬
‫ﺇ‬))))((((=))))((((–××××××××‫ف‬‫ف‬‫ف‬‫ف‬‫ف‬ ‫وﻣﻨﻬﺎ‬‫ف‬ ‫وﻣﻨﻬﺎ‬‫ف‬ ‫وﻣﻨﻬﺎ‬‫ف‬ ‫وﻣﻨﻬﺎ‬=,,,,‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬
‫ل‬ ،‫ل‬ ،‫ل‬ ،‫ل‬ ،=‫ﺟﺎ‬ ‫ف‬‫ﺟﺎ‬ ‫ف‬‫ﺟﺎ‬ ‫ف‬‫ﺟﺎ‬ ‫ف‬‫ﻩ‬=,,,,××××*‫؛‬٩‫؛‬٤
‫ﺇ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬=‫ض‬‫ض‬‫ض‬‫ض‬‫ﺍ‬
–‫ض‬‫ض‬‫ض‬‫ض‬‫ﺏ‬
=‫ك‬‫ك‬‫ك‬‫ك‬õ‫ل‬‫ل‬‫ل‬‫ل‬–=××××××××,,,,××××*‫؛‬٩‫؛‬٤=‫إرج‬‫إرج‬‫إرج‬‫إرج‬
‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬::::
))))((((‫ﺍ‬~‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬::::
‫ﺍ‬‫ﰒ‬=‫ﰒ‬ ‫ﺲ‬‫ﺳ‬–‫ﰒ‬ ‫ﺻﺺ‬،،،،‫ﺏ‬‫ﰒ‬=‫ﰒ‬ ‫ﺲ‬‫ﺳ‬++++‫ﰒ‬ ‫ﺻﺺ‬
‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬
ّّّّ
‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬....
‫ﺏ‬~‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬، ‫ﻧﻴﻮﺗﻦ‬، ‫ﻧﻴﻮﺗﻦ‬، ‫ﻧﻴﻮﺗﻦ‬، ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬
‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬::::
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬....‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫ﺍ‬~‫ﰒ‬ ‫ﺏ‬ ٌ‫ﰒ‬ ‫ﺍ‬=))))،،،،-((((××××))))،،،،((((=))))++++((((‫ﰒ‬ ‫ﻉ‬=‫ﻉ‬‫ﰒ‬
‫ﺇ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬=!‫؛‬٢‘‘‫ﰒ‬ ‫ﺏ‬ ٌ‫ﰒ‬ ‫ﺍ‬‘‘=&‫؛‬٢$‫؛‬=,,,,‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬
‫ﺏ‬~‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫ﺡ‬=++++=‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬
××××‫ﺱ‬=××××))))–‫ﺱ‬((((
‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺱ‬=‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬
‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫ﺑﻤﻘﺪار‬‫ﺑﻤﻘﺪار‬‫ﺑﻤﻘﺪار‬‫ﺑﻤﻘﺪار‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬....
‫ف‬‫ف‬‫ف‬‫ف‬
‫ﺍ‬
‫ﺏ‬
‫ﻩ‬
‫ل‬‫ل‬‫ل‬‫ل‬
‫ﺡ‬
‫ﺱ‬
www.mathtop4.alafdal.net
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‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫ﺡ‬=–=‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬‫ﻷﺳﻔﻞ‬‫ﻷﺳﻔﻞ‬‫ﻷﺳﻔﻞ‬
،،،،××××))))++++‫ﺱ‬((((=××××‫ﺱ‬
‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺱ‬=,,,,‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬
‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬,,,,‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬
))))((((‫ﺍ‬~‫اﻻزدواج‬ ‫ﻋﺮف‬‫اﻻزدواج‬ ‫ﻋﺮف‬‫اﻻزدواج‬ ‫ﻋﺮف‬‫اﻻزدواج‬ ‫ﻋﺮف‬ّّّّ....
‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬
‫واﺣﺪ‬ ‫ﻋﻤﻞ‬‫واﺣﺪ‬ ‫ﻋﻤﻞ‬‫واﺣﺪ‬ ‫ﻋﻤﻞ‬‫واﺣﺪ‬ ‫ﻋﻤﻞ‬
‫ﺏ‬~‫ﺏ‬ ‫ﺍ‬/‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬
‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﺍ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬
‫ﻋﺰﻣﻪ‬‫ﻋﺰﻣﻪ‬‫ﻋﺰﻣﻪ‬‫ﻋﺰﻣﻪ‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬....‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﺍ‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬
‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫ﰈ‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ﺇ‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬))))،،،،‫ﺭ‬((((‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬
‫ﺭ‬ ‫ﺇ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬
ًًًً
،،،،----××××‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=-
‫ﺇ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=!‫؛‬٢‫ﻩ‬ ‫ﺇ‬=
‫ﺇ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﻟ‬‫ﻟ‬‫ﻟ‬‫ﻟ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬
‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬
))))((((‫ﻣﻢ‬ ‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻕ‬))))‫ﺍ‬ ‫ﻻ‬((((=‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،،،،،،،،،]‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬
‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﺲ‬‫ﳑ‬ ‫ﺏ‬ ‫ﺍ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺝ‬ ‫ﺍ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺝ‬ ‫ﺏ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬....‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺝ‬ ‫ﺏ‬/‫أﺣﺪ‬ ‫وﺗﻮازى‬‫أﺣﺪ‬ ‫وﺗﻮازى‬‫أﺣﺪ‬ ‫وﺗﻮازى‬‫أﺣﺪ‬ ‫وﺗﻮازى‬
‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫ج‬‫ج‬‫ج‬‫ج‬‫ﺍ‬
=]××××‫ﺏ‬ ‫ﺍ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬=]‫ﺏ‬ ‫ﺍ‬
‫ج‬‫ج‬‫ج‬‫ج‬‫ﺏ‬
=----××××‫ﺏ‬ ‫ﺍ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬=-]‫ﺏ‬ ‫ﺍ‬
‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬
=××××‫ﺝ‬ ‫ﺍ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬=]‫ﺏ‬ ‫ﺍ‬
‫ﰈ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺏ‬
=----‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬
‫ﺉ‬‫اﻤﻟﺤ‬‫اﻤﻟﺤ‬‫اﻤﻟﺤ‬‫اﻤﻟﺤ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺝ‬ ‫ﺏ‬/،،،،‫ﰈ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺍ‬
=‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬
‫ﺇ‬‫اﻤﻟﺤﺼﻠﺔ‬‫اﻤﻟﺤﺼﻠﺔ‬‫اﻤﻟﺤﺼﻠﺔ‬‫اﻤﻟﺤﺼﻠﺔ‬‫ﺗﻮازى‬‫ﺗﻮازى‬‫ﺗﻮازى‬‫ﺗﻮازى‬‫ﺍ‬‫ﺝ‬/
‫ﺡ‬
‫ﺱ‬
‫ﺏ‬
‫ﺍ‬
‫ﻩ‬
‫ﺭ‬
‫ﺏ‬
‫ﺍ‬
‫ﺝ‬
]
www.mathtop4.alafdal.net
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óãbrÛa@xˆìàäÛa@ @
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬::::
))))((((‫ﺍ‬~‫ﺎﻛن‬ ‫إذا‬‫ﺎﻛن‬ ‫إذا‬‫ﺎﻛن‬ ‫إذا‬‫ﺎﻛن‬ ‫إذا‬‫و‬‫ﺲ‬‫ﳑ‬ ‫ﺱ‬،،،،‫و‬‫ﺲ‬‫ﳑ‬ ‫ﺹ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﰒ‬ ‫ﺲ‬‫ﺳ‬،،،،‫ﰒ‬ ‫ﺻﺺ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬
‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬....‫أﺛ‬‫أﺛ‬‫أﺛ‬‫أﺛ‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫ﰒ‬ ‫ﻕ‬=‫ﰒ‬ ‫ﺲ‬‫ﺳ‬–‫ﰒ‬ ‫ﺻﺺ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫ﺍ‬=))))،،،،. (. (. (. (
‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬))))‫و‬((((‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬
ّّّّ
))))‫و‬((((
‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫ج‬‫ج‬‫ج‬‫ج‬‫و‬
‫ﰒ‬=‫ﰒ‬ ‫ﺭ‬××××‫ﰒ‬ ‫ﻕ‬=))))،،،،((((××××))))،،،،-((((=))))-–((((‫ﺛﻢ‬ ‫ع‬‫ﺛﻢ‬ ‫ع‬‫ﺛﻢ‬ ‫ع‬‫ﺛﻢ‬ ‫ع‬=-‫ﰒ‬ ‫ﻉ‬
‘‘‫ج‬‫ج‬‫ج‬‫ج‬‫ﰒ‬‘‘=،،،،‘‘‫ﰒ‬ ‫ﻕ‬‘‘=]))))((((++++))))-((((=
‫ﺇ‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬=)‫؛‬٥!‫؛‬=‫ﻃﻮل‬ ‫وﺣﺪة‬‫ﻃﻮل‬ ‫وﺣﺪة‬‫ﻃﻮل‬ ‫وﺣﺪة‬‫ﻃﻮل‬ ‫وﺣﺪة‬
‫ﺏ‬~‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬
‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬ُُُُ‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬....‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬ ‫ﻣﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﺝ‬
‫ﺇ‬))))‫ﺝ‬ ‫ﺍ‬((((=‫ﺍ‬õ××××‫ﺏ‬ ‫ﺍ‬))))‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬((((
‫ﺇ‬=‫ﺍ‬õ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺍ‬õ=
‫ﺇ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=‫ﻩ‬ ‫ﺇ‬=
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‫ﰈ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫ﺝ‬::::
‫ﺇ‬==
‫ﺇ‬==
‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺶ‬‫ﺷ‬=، ‫ﺟﻢ‬ ‫ث‬، ‫ﺟﻢ‬ ‫ث‬، ‫ﺟﻢ‬ ‫ث‬، ‫ﺟﻢ‬ ‫ث‬‫ﺶ‬‫ﺷ‬=‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬....
))))((((‫ﺏ‬ ‫ﺍ‬/‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬....‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬
‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻧﻘﻄﺔ‬‫ﻧﻘﻄﺔ‬‫ﻧﻘﻄﺔ‬‫ﻧﻘﻄﺔ‬‫ﺍ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﺝ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﺏ‬....‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬
‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬
ّّّّ
‫ﺏ‬‫ﻳﻜﻮن‬ k‫ﺣ‬‫ﻳﻜﻮن‬ k‫ﺣ‬‫ﻳﻜﻮن‬ k‫ﺣ‬‫ﻳﻜﻮن‬ k‫ﺣ‬
‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬
‫ﺏ‬ ‫ﺍ‬
‫ﺝ‬
‫ﺶ‬‫ﺷ‬
‫ﺶ‬‫ﺷ‬
‫ﻩ‬
õ
‫ﺍ‬õ@ @
‫ﺝ‬ ‫ﺍ‬
‫ﺶ‬‫ﺷ‬
‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬))))++++‫ﻩ‬((((
‫ﺶ‬‫ﺷ‬
‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬))))–‫ﻩ‬(((( ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬
‫ﺶ‬‫ﺷ‬
‫ﺟ‬‫ﺟ‬‫ﺟ‬‫ﺟ‬‫ﺘ‬‫ﺘ‬‫ﺘ‬‫ﺘ‬‫ﺎ‬‫ﺎ‬‫ﺎ‬‫ﺎ‬‫ﻩ‬
‫ﺶ‬‫ﺷ‬
‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬
www.mathtop4.alafdal.net
--------
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬::::
‫ﺭ‬++++‫ﺭ‬=) ..............) ..............) ..............) ..............((((
‫ﰈ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺇ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬
=
‫ﺇ‬‫ﺭ‬××××–××××=‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬
‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬))))((((‫ﺇ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬
‫ﺇ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫ﺍ‬=‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬
ًًًً
‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫ﺝ‬=‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬
ًًًً
‫اﺤﻟ‬‫اﺤﻟ‬‫اﺤﻟ‬‫اﺤﻟ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬::::
‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺝ‬
‫ﺇ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫ﺍ‬
،،،،++++‫ﻕ‬=‫ﺭ‬) .............) .............) .............) .............((((
‫ﰈ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺉ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬
=
‫ﺇ‬‫ﻕ‬××××–××××=‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻕ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬
‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬))))((((‫ﺭ‬ ‫ﺇ‬=‫ﺇ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫ﻞ‬‫ﻞ‬‫ﻞ‬‫ﻞ‬‫ﺝ‬=‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬
ًًًً
))))((((‫ﻣﻢ‬ ‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬‫ﻓﻴﻪ‬‫ﻓﻴﻪ‬‫ﻓﻴﻪ‬‫ﻓﻴﻪ‬‫ﺏ‬ ‫ﺍ‬=، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬‫ﺝ‬ ‫ﺍ‬=، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬‫ﺝ‬ ‫ﺏ‬=‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬....‫اﻟﻘﻮى‬ ‫أﺛﺮت‬‫اﻟﻘﻮى‬ ‫أﺛﺮت‬‫اﻟﻘﻮى‬ ‫أﺛﺮت‬‫اﻟﻘﻮى‬ ‫أﺛﺮت‬،،،،،،،،‫ﺛﻘﻞ‬‫ﺛﻘﻞ‬‫ﺛﻘﻞ‬‫ﺛﻘﻞ‬
‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺲ‬‫ﳑ‬ ‫ﺍ‬ ‫ﺏ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺝ‬ ‫ﺍ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺏ‬ ‫ﺝ‬....k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬‫ﺝ‬ ‫ﺏ‬/
‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬
ًًًً
....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫ﰈ‬#‫؛‬٦=$‫؛‬٨=%‫؛‬٠‫؛‬١=‫ﻙ‬
،،،،‫ﰈ‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬
‫ﺇ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬=‫ﻙ‬××××××××‫ﻣـ‬‫ﻣـ‬‫ﻣـ‬‫ﻣـ‬))))‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬ ‫ﻣﻢ‬((((
=!‫؛‬٢××××××××!‫؛‬٢××××××××=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬
،،،،‫ﰈ‬‫اﻻزد‬‫اﻻزد‬‫اﻻزد‬‫اﻻزد‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬
‫ﺇ‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬))))‫ﻕ‬،،،،‫ﻕ‬((((‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬
‫ﻕ‬ ‫ﺇ‬××××=‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻕ‬=,,,,‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬
‫ﺏ‬
‫ﺍ‬‫ﺝ‬
‫ﻡ‬
‫ﺭ‬‫ﺭ‬
‫ﺏ‬
‫ﺍ‬‫ﺝ‬
‫ﻡ‬
‫ﻕ‬
‫ﺭ‬
‫ﻕ‬
‫ﻕ‬
‫ﺏ‬‫ﺍ‬
‫ﺝ‬
www.mathtop4.alafdal.net
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‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬::::
))))((((‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬::::
‫ﺲ‬‫ﳑ‬ ‫ﺭ‬=))))‫ﻥ‬–‫ﻥ‬++++((((‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬‫ى‬ ‫ﺣﻴﺚ‬‫ى‬ ‫ﺣﻴﺚ‬‫ى‬ ‫ﺣﻴﺚ‬‫ى‬ ‫ﺣﻴﺚ‬‫ﰒ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬....
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬
ّ ّّ ّّ ّّ ّ
‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬
‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬
ّّّّ
‫ﺗ‬ ‫ﻣﻌﺪل‬‫ﺗ‬ ‫ﻣﻌﺪل‬‫ﺗ‬ ‫ﻣﻌﺪل‬‫ﺗ‬ ‫ﻣﻌﺪل‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫ف‬‫ف‬‫ف‬‫ف‬‫ﰒ‬=‫ﰒ‬ ‫ﺭ‬–‫ﺭ‬‫ﰒ‬=))))‫ﻥ‬–‫ﻥ‬((((‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬
‫ﻉ‬‫ﰒ‬==))))‫ﻥ‬–((((‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬،،،،‫ﰒ‬ ‫ﺝ‬=‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬
‫ﺇ‬‫ﻉ‬××××‫ﺝ‬=))))‫ﻥ‬–((((
‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻥ‬<<<<#‫؛‬٢‫ﺇ‬‫ﻉ‬××××‫ﺝ‬<<<<‫ﺇ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬
‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻥ‬>>>>#‫؛‬٢‫ﺇ‬‫ﻉ‬××××‫ﺝ‬>>>>‫ﺇ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬
‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫ط‬‫ط‬‫ط‬‫ط‬=!‫؛‬٢‫ﻙ‬))))‫ﰒ‬ ‫ﻉ‬‫ﰒ‬ ‫ﻉ‬ ٌ((((=!‫؛‬٢××××××××))))‫ﻥ‬–((((
=!‫؛‬٢××××))))‫ن‬‫ن‬‫ن‬‫ن‬–((((××××=))))‫ﻥ‬–((((=ٌ ‫ﰒ‬ ‫ﻉ‬‫ﰒ‬ ‫ﺝ‬
))))((((‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬....‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬
ّّّّ
‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬::::
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬....
‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬
ًًًً
....
‫ﺛ‬‫ﺛ‬‫ﺛ‬‫ﺛ‬‫ﺎﺨﻛﺎ‬‫ﺎﺨﻛﺎ‬‫ﺎﺨﻛﺎ‬‫ﺎﺨﻛﺎ‬
ًًًً
::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬
ًًًً
....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
))))‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬((((
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ُُُُ
::::‫ﺭ‬=‫ﻙ‬õ=××××,,,,=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬
‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬
ًًًً
::::‫ﺭ‬–‫ﻙ‬õ=‫ﺭ‬ ‫ﺉ‬ ‫ﺝ‬ ‫ﻙ‬–=××××‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬
‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬
ًًًً
::::‫ﻙ‬õ–‫ﺭ‬=‫ﺉ‬ ‫ﺝ‬ ‫ﻙ‬–‫ﺭ‬=××××‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬
@õ‫ﻑ‬‫ﰒ‬
@@õ‫ﻥ‬
@õ‫ط‬‫ط‬‫ط‬‫ط‬
@@õ‫ﻥ‬
www.mathtop4.alafdal.net
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))))((((‫ﺍ‬~‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬
‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬....‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬
‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬
ًًًً
‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﺱ‬=××××%‫؛‬٨‫؛‬١=‫م‬‫م‬‫م‬‫م‬////، ‫ث‬، ‫ث‬، ‫ث‬، ‫ث‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬=××××=‫ث‬‫ث‬‫ث‬‫ث‬
‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬::::‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬-‫ﻡ‬=‫ﺝ‬ ‫ﻙ‬
‫ﺇ‬-=‫ﺝ‬‫ﺝ‬ ‫ﺉ‬=-!‫؛‬٤‫؛‬٢‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬
‫ﺤﻟ‬‫ﺤﻟ‬‫ﺤﻟ‬‫ﺤﻟ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬::::‫ﻉ‬ ‫ﰈ‬=‫ﻉ‬++++‫ﻥ‬ ‫ﺝ‬=-!‫؛‬٤‫؛‬٢××××=‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬
‫ﺇ‬‫ﻉ‬=××××*‫؛‬٥!‫؛‬=‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﺱ‬
‫ﺏ‬~‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬
‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬
‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬
ًًًً
‫ﻩ‬‫ﺣﻴﺚ‬‫ﺣﻴﺚ‬‫ﺣﻴﺚ‬‫ﺣﻴﺚ‬
‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=!‫؛‬٠‫؛‬٢....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﺱ‬=××××%‫؛‬٨‫؛‬١=‫م‬‫م‬‫م‬‫م‬////‫ث‬‫ث‬‫ث‬‫ث‬
‫ﰈ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬))))‫ﻣﻨ‬‫ﻣﻨ‬‫ﻣﻨ‬‫ﻣﻨ‬‫ﺘﻈﻤﺔ‬‫ﺘﻈﻤﺔ‬‫ﺘﻈﻤﺔ‬‫ﺘﻈﻤﺔ‬((((‫ﺇ‬‫ﻕ‬=‫ﻡ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬
‫ﺇ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻕ‬××××‫ﻉ‬=××××=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬=÷÷÷÷=‫ﺣﺼﺎن‬‫ﺣﺼﺎن‬‫ﺣﺼﺎن‬‫ﺣﺼﺎن‬
‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬::::‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻕ‬
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=‫ﻡ‬++++‫و‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬
‫ﺇ‬‫ﻕ‬
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=++++××××!‫؛‬٠‫؛‬٢=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬
‫ﰈ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻕ‬
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××××‫ﻉ‬
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‫ﺇ‬=××××‫ﻉ‬
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‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻉ‬
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=%‫؛‬٨$‫؛‬‫م‬‫م‬‫م‬‫م‬////‫ث‬‫ث‬‫ث‬‫ث‬
‫ﻉ‬ ‫ﺇ‬
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=%‫؛‬٨$‫؛‬××××*‫؛‬٥!‫؛‬=,,,,‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫س‬‫س‬‫س‬‫س‬
www.mathtop4.alafdal.net
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sÛbrÛa@xˆìàäÛa@ @
‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬
ًًًً
::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬::::
))))((((‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬، ‫ﺟﻢ‬، ‫ﺟﻢ‬، ‫ﺟﻢ‬، ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬
‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////، ‫ث‬، ‫ث‬، ‫ث‬، ‫ث‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬....‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬ُُُُ
‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬
‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
××××++++××××))))-((((=))))++++((((××××‫ﻉ‬
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‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻉ‬
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=‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬
‫ﺇ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬
‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،=‫ط‬‫ط‬‫ط‬‫ط‬–‫ط‬‫ط‬‫ط‬‫ط‬
=!‫؛‬٢××××××××))))((((----!‫؛‬٢××××××××))))(((([[[[–))))!‫؛‬٢××××××××((((=‫إرج‬‫إرج‬‫إرج‬‫إرج‬
‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،=‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬
=))))–((((=‫داﻳﻦ‬‫داﻳﻦ‬‫داﻳﻦ‬‫داﻳﻦ‬
))))((((‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬
‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬
‫أﺳﺘﻘﺮت‬‫أﺳﺘﻘﺮت‬‫أﺳﺘﻘﺮت‬‫أﺳﺘﻘﺮت‬....‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬ُُُُ‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬
‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،....
‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬
‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫ﻟﻠﻤﻄﺎط‬‫ﻟﻠﻤﻄﺎط‬‫ﻟﻠﻤﻄﺎط‬‫ﻟﻠﻤﻄﺎط‬=‫ﻡ‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬=‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬
‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬=,,,,، ‫ﻛﺠﻢ‬، ‫ﻛﺠﻢ‬، ‫ﻛﺠﻢ‬، ‫ﻛﺠﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬=,,,,‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬
،،،،‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬=,,,,‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬
‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬::::
‫اﺤﻛﻐ‬‫اﺤﻛﻐ‬‫اﺤﻛﻐ‬‫اﺤﻛﻐ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬=‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬++++‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬
‫ﺇ‬!‫؛‬٢××××,,,,]]]]–))))(((([[[[=))))-‫ﻡ‬××××,,,,–‫ﻡ‬××××,,,,((((××××,,,,‫م‬ ‫وﻣﻨﻬﺎ‬‫م‬ ‫وﻣﻨﻬﺎ‬‫م‬ ‫وﻣﻨﻬﺎ‬‫م‬ ‫وﻣﻨﻬﺎ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬
‫ﺉ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬=‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬
+
‫ﻉ‬
‫ﺍ‬
=‫ﻉ‬
‫ﺏ‬
=-
‫ﻡ‬‫ﻡ‬
,,,,,,,,
‫ﻉ‬=
www.mathtop4.alafdal.net
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  • 3. -------- Þëþa@xˆìàäÛa@ @ ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫ﺔ‬‫ﺔ‬‫ﺔ‬‫ﺔ‬:::: ))))((((‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬ ‫ﺗﺘﺤﺮك‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫آﺤﻛﻬﺎ‬ ‫وﻗﺪرة‬ ‫ﻃﻦ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫ﺣﺼﺎﻧﺎ‬ ًًًً ‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻣﻘﺪار‬ ‫ﻣﻊ‬ ‫ﻃﺮدﻳﺎ‬ ‫ﺔ‬ ‫ﻟﻠﺤﺮ‬ ‫اﻟﻄﺮﻳﻖ‬ ًًًً ....‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬‫ﻰﻫ‬ ‫اﻟﻄﺮﻳﻖ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫ﺎﻛﻧﺖ‬ ‫ﻓﺈذا‬ ‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫س‬‫س‬‫س‬‫س‬....‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫ﻋﻨﺪﻣﺎ‬ ‫ﻟﻠﺴﻴﺎرة‬ ‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻣﻘﺪار‬ ‫ﻓﻤﺎ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫س‬‫س‬‫س‬‫س‬.... ‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬‫اﻟﺮﺴﻋﺔ‬ ‫ﻫﺬه‬ ‫ﻋﻨﺪ‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫أﺣﺴﺐ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﻉ‬=××××%‫؛‬٨‫؛‬١=‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////، ‫ث‬، ‫ث‬، ‫ث‬، ‫ث‬‫ﻉ‬=××××%‫؛‬٨‫؛‬١=‫م‬‫م‬‫م‬‫م‬////‫ث‬‫ث‬‫ث‬‫ث‬ ‫ﰈ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻕ‬××××‫ﻉ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬‫ﺮﺳﻋﺔ‬ ‫أﻗ‬ ‫وﻋﻨﺪ‬))))‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫اﻟﺮﺴﻋﺔ‬: (: (: (: (‫ﻕ‬=‫ﻡ‬ ‫ﺇ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻡ‬××××‫ﻉ‬‫ﺇ‬××××=‫ﻡ‬××××‫ﺇ‬‫ﻡ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬ ‫ﰈ‬‫ﻡ‬‫ﻉ‬‫ﺇ‬=‫ﺇ‬= ‫ﺇ‬‫ﻡ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﺇ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬‫ﻃﻦ‬ ‫ﻞﻛ‬ ‫ﻋﻦ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬=÷÷÷÷=‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﻃﻦ‬ ‫ﻟﻞﻜ‬ ‫ﻛﺠﻢ‬ ‫ث‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،‫اﻟﺴﻴﺎرة‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ،=‫ك‬‫ك‬‫ك‬‫ك‬××××‫ع‬‫ع‬‫ع‬‫ع‬=××××=‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬ ))))((((‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬,,,,‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﻮﺟ‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻮد‬....‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﺜﻘﻞ‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬ ّّّّ ‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻰﻓ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬:::: ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬‫ﺳﺎﻛﻨﺎ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺎﻛن‬ ‫إذا‬ ًًًً .... ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬ ًًًً .... ‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬ ًًًً ::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﺳ‬‫ﺳ‬‫ﺳ‬‫ﺳ‬‫ﻢ‬‫ﻢ‬‫ﻢ‬‫ﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬ ًًًً .... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ُُُُ ::::‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﺳﺎﻛﻦ‬ ‫اﻤﻟﺼﻌﺪ‬::::‫ﺭ‬=‫ﻙ‬õ=,,,,‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬=,,,,××××,,,,=,,,,‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬ ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﺻﺎﻋﺪ‬ ‫اﻤﻟﺼﻌﺪ‬,,,,‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬::::‫ﺭ‬–‫ﻙ‬õ=‫ﺝ‬ ‫ﻙ‬ ‫ﺭ‬–,,,,××××,,,,=,,,,××××,,,, ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=,,,,‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬=‫ث‬‫ث‬‫ث‬‫ث‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬‫ﻛﺠﻢ‬ ‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬ ًًًً ::::‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫ﻫﺎﺑﻂ‬ ‫اﻤﻟﺼﻌﺪ‬,,,,‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬::::‫ﻙ‬õ–‫ﺭ‬=‫ﺝ‬ ‫ﻙ‬ ,,,,××××,,,,–‫ﺭ‬=,,,,××××,,,, ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=,,,,‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬=,,,,÷÷÷÷,,,,=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬ ‫ﻡ‬ ‫ﻡ‬ ‫ﻉ‬ ‫ﻉ‬‫ﻡ‬ www.mathtop4.alafdal.net
  • 4. -------- ))))((((‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻗﺬف‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬‫ﺟﻴﺒﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮ‬ ‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫ﺟﻢ‬*‫؛‬٩‫؛‬٤‫اﺠﺗﺎه‬ Ș‫و‬‫اﺠﺗﺎه‬ Ș‫و‬‫اﺠﺗﺎه‬ Ș‫و‬‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﻣﻴﻞ‬ ‫أﻛﺮﺒ‬ ‫ﺧﻂ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬....‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﺒﻟ‬ ‫ﻳﻄﺮأ‬ ‫ى‬ ‫ا‬ ‫اﺤﻛﻐﺮﻴ‬ ‫اﺣﺴﺐ‬ ‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺮﺳﻋﺘﻪ‬ ‫ﺗﺼﺒﺢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫ﰈ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬‫وزﻧﻪ‬ ‫ﺗﺄﺛﺮﻴ‬ ‫ﺤﺗﺖ‬ ‫أﻣﻠﺲ‬ ‫ﻣﺴﺘﻮى‬ ‫ﺒﻟ‬ ‫ﺻﺎﻋﺪ‬ ‫اﺠﻟﺴﻢ‬ ‫ﺝ‬ ‫ﺇ‬=-õ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=-××××*‫؛‬٩‫؛‬٤=-‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬ ‫ﰈ‬‫ﻉ‬=‫ﻉ‬++++‫ﺝ‬‫ف‬‫ف‬‫ف‬‫ف‬ ‫ﺇ‬))))((((=))))((((–××××××××‫ف‬‫ف‬‫ف‬‫ف‬‫ف‬ ‫وﻣﻨﻬﺎ‬‫ف‬ ‫وﻣﻨﻬﺎ‬‫ف‬ ‫وﻣﻨﻬﺎ‬‫ف‬ ‫وﻣﻨﻬﺎ‬=,,,,‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬ ‫ل‬ ،‫ل‬ ،‫ل‬ ،‫ل‬ ،=‫ﺟﺎ‬ ‫ف‬‫ﺟﺎ‬ ‫ف‬‫ﺟﺎ‬ ‫ف‬‫ﺟﺎ‬ ‫ف‬‫ﻩ‬=,,,,××××*‫؛‬٩‫؛‬٤ ‫ﺇ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫اﻟﻮﺿﻊ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬=‫ض‬‫ض‬‫ض‬‫ض‬‫ﺍ‬ –‫ض‬‫ض‬‫ض‬‫ض‬‫ﺏ‬ =‫ك‬‫ك‬‫ك‬‫ك‬õ‫ل‬‫ل‬‫ل‬‫ل‬–=××××××××,,,,××××*‫؛‬٩‫؛‬٤=‫إرج‬‫إرج‬‫إرج‬‫إرج‬ ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬:::: ))))((((‫ﺍ‬~‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ا‬ ‫ﺣﺎﺻﻞ‬ ‫أوﺟﺪ‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬‫ﻟﻠﻤﺘﺠﻬﻦﻴ‬ ‫اﻻﺠﺗﺎﻰﻫ‬ ‫ﻟﺮﻀب‬:::: ‫ﺍ‬‫ﰒ‬=‫ﰒ‬ ‫ﺲ‬‫ﺳ‬–‫ﰒ‬ ‫ﺻﺺ‬،،،،‫ﺏ‬‫ﰒ‬=‫ﰒ‬ ‫ﺲ‬‫ﺳ‬++++‫ﰒ‬ ‫ﺻﺺ‬ ‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬‫ﻬﻟﺬﻳﻦ‬ ‫اﻤﻟﻤﺜﻠﺘﻦﻴ‬ ‫اﻤﻟﻮﺟﻬﺘﻦﻴ‬ ‫اﻤﻟﺴﺘﻘﻴﻤﺘﻦﻴ‬ ‫اﻟﻘﻄﻌﺘﻦﻴ‬ ‫ﺒﻟ‬ ‫اﻤﻟﻘﺎم‬ ‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬ ‫وﻋﻦﻴ‬ ّّّّ ‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬‫ﻣﺘﺠﺎورﻳﻦ‬ ‫ﻛﻀﻠﻌﻦﻴ‬ ‫اﻤﻟﺘﺠﻬﻦﻴ‬.... ‫ﺏ‬~‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬‫ﻣﻘﺪارﻫﻤﺎ‬ ‫ﻣﺘﻮازﻳﺘﺎن‬ ‫ﻗﻮﺗﺎن‬، ‫ﻧﻴﻮﺗﻦ‬، ‫ﻧﻴﻮﺗﻦ‬، ‫ﻧﻴﻮﺗﻦ‬، ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻋﻤﻠﻬﻤﺎ‬ ‫ﺧﻄﻰ‬ ‫ﺑﻦﻴ‬ ‫واﻤﻟﺴﺎﻓﺔ‬ ‫ﻧﻴﻮﺗﻦ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬‫أوﺟﺪ‬ ‫ﺳﻢ‬ ‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬‫اﺤﻟﺎﺤﻛﻦﻴ‬ ‫ﻰﻓ‬ ‫ﺤﻣﺼﻠﺘﻬﻤﺎ‬:::: ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫واﺣﺪ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬....‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻮﺗﺎن‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫ﺍ‬~‫ﰒ‬ ‫ﺏ‬ ٌ‫ﰒ‬ ‫ﺍ‬=))))،،،،-((((××××))))،،،،((((=))))++++((((‫ﰒ‬ ‫ﻉ‬=‫ﻉ‬‫ﰒ‬ ‫ﺇ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬‫اﻤﻟﺜﻠﺚ‬ ‫ﺳﻄﺢ‬ ‫ﻣﺴﺎﺣﺔ‬=!‫؛‬٢‘‘‫ﰒ‬ ‫ﺏ‬ ٌ‫ﰒ‬ ‫ﺍ‬‘‘=&‫؛‬٢$‫؛‬=,,,,‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬‫ﻣﺴﺎﺣﺔ‬ ‫وﺣﺪة‬ ‫ﺏ‬~‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫ﺡ‬=++++=‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮﺗﻦﻴ‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ﻧﻴﻮﺗﻦ‬ ××××‫ﺱ‬=××××))))–‫ﺱ‬(((( ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺱ‬=‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬ ‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫ﺑﻤﻘﺪار‬‫ﺑﻤﻘﺪار‬‫ﺑﻤﻘﺪار‬‫ﺑﻤﻘﺪار‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬.... ‫ف‬‫ف‬‫ف‬‫ف‬ ‫ﺍ‬ ‫ﺏ‬ ‫ﻩ‬ ‫ل‬‫ل‬‫ل‬‫ل‬ ‫ﺡ‬ ‫ﺱ‬ www.mathtop4.alafdal.net
  • 5. -------- ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫ﺡ‬=–=‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫اﻟﻘﻮة‬ ‫اﺠﺗﺎه‬ Ș‫و‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬‫ﻷﺳﻔﻞ‬‫ﻷﺳﻔﻞ‬‫ﻷﺳﻔﻞ‬ ،،،،××××))))++++‫ﺱ‬((((=××××‫ﺱ‬ ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺱ‬=,,,,‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬ ‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫اﻟﻘﻮة‬ ‫ﻋﻦ‬ ‫ﺗﺒﻌﺪ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫أى‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬‫ﺑﻤﻘﺪار‬ ‫ﻧﻴﻮﺗﻦ‬,,,,‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫اﺨﻟﺎرج‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬ ))))((((‫ﺍ‬~‫اﻻزدواج‬ ‫ﻋﺮف‬‫اﻻزدواج‬ ‫ﻋﺮف‬‫اﻻزدواج‬ ‫ﻋﺮف‬‫اﻻزدواج‬ ‫ﻋﺮف‬ّّّّ.... ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻫﻮ‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬‫ﺧﻂ‬ ‫ﺠﻳﻤﻌﻬﻤﺎ‬ ‫وﻻ‬ ‫اﻻﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫وﻣﺘﻀﺎدﺗﻦﻴ‬ ‫اﻤﻟﻌﻴﺎر‬ ‫ﻰﻓ‬ ‫ﻣﺘﺴﺎوﻳﺘﻦﻴ‬ ‫ﻗﻮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮن‬ ‫واﺣﺪ‬ ‫ﻋﻤﻞ‬‫واﺣﺪ‬ ‫ﻋﻤﻞ‬‫واﺣﺪ‬ ‫ﻋﻤﻞ‬‫واﺣﺪ‬ ‫ﻋﻤﻞ‬ ‫ﺏ‬~‫ﺏ‬ ‫ﺍ‬/‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻗﻀﻴﺐ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫ﺑﺪور‬ ‫أن‬ ‫ﻟﻠﻘﻀﻴﺐ‬ ‫وﻳﻤﻜﻦ‬ ‫ﻣﻨﺘﺼﻔﻪ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬ ‫ﻛﺠﻢ‬ ‫ث‬ ‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﻃﺮﻓﻪ‬ ‫ﻋﻨﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻣﻔﺼﻞ‬ ‫ﺣﻮل‬ n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬‫ﺍ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬n‫رأ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻰﻓ‬ ‫ازدواج‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺒﻟ‬ ‫أﺛﺮ‬ ‫ﻋﺰﻣﻪ‬‫ﻋﺰﻣﻪ‬‫ﻋﺰﻣﻪ‬‫ﻋﺰﻣﻪ‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬....‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﻋﻨﺪ‬ ‫اﻤﻟﻔﺼﻞ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫أن‬ ‫ﺒﻟ‬ ‫ﺑﺮﻫﻦ‬‫ﺍ‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬‫اﻟﻘﻀﻴﺐ‬ ‫وزن‬ ‫ﻳﺴﺎوى‬ ‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬‫اﺤﻛﻮازن‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻣﻴﻞ‬ ‫وأوﺟﺪ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫ﰈ‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫اﻻزدواج‬‫ﺇ‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬))))،،،،‫ﺭ‬((((‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬ ‫ﺭ‬ ‫ﺇ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬‫ﻷﺒﻟ‬ ‫رأﺳﻴﺎ‬ ًًًً ،،،،----××××‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=- ‫ﺇ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=!‫؛‬٢‫ﻩ‬ ‫ﺇ‬= ‫ﺇ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ا‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﻟ‬‫ﻟ‬‫ﻟ‬‫ﻟ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬‫ﻓﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ n‫ﺮأ‬ ‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫أن‬ ‫أى‬ ))))((((‫ﻣﻢ‬ ‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻓﻴﻪ‬ ‫اﻟﺴﺎﻗﻦﻴ‬ ‫ﻣﺘﺴﺎوى‬‫ﻕ‬))))‫ﺍ‬ ‫ﻻ‬((((=‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،‫ﻣﻘﺎدﻳﺮﻫﺎ‬ ‫ﻗﻮى‬ ،،،،،،،،،]‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﻰﻓ‬ ‫ﺗﺆﺛﺮ‬‫ﺲ‬‫ﳑ‬ ‫ﺏ‬ ‫ﺍ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺝ‬ ‫ﺍ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺝ‬ ‫ﺏ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬....‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺗﻨﺼﻒ‬ ‫اﻤﻟﺤﺼﻠﺔ‬ ‫أن‬ ‫ﺑﺮﻫﻦ‬‫ﺝ‬ ‫ﺏ‬/‫أﺣﺪ‬ ‫وﺗﻮازى‬‫أﺣﺪ‬ ‫وﺗﻮازى‬‫أﺣﺪ‬ ‫وﺗﻮازى‬‫أﺣﺪ‬ ‫وﺗﻮازى‬ ‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬‫اﻵﺧﺮﻳﻦ‬ ‫اﻟﻀﻠﻌﻦﻴ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫ج‬‫ج‬‫ج‬‫ج‬‫ﺍ‬ =]××××‫ﺏ‬ ‫ﺍ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬=]‫ﺏ‬ ‫ﺍ‬ ‫ج‬‫ج‬‫ج‬‫ج‬‫ﺏ‬ =----××××‫ﺏ‬ ‫ﺍ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬=-]‫ﺏ‬ ‫ﺍ‬ ‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬ =××××‫ﺝ‬ ‫ﺍ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬=]‫ﺏ‬ ‫ﺍ‬ ‫ﰈ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺏ‬ =----‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬ ‫ﺉ‬‫اﻤﻟﺤ‬‫اﻤﻟﺤ‬‫اﻤﻟﺤ‬‫اﻤﻟﺤ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺗﻨﺼﻒ‬ ‫ﺼﻠﺔ‬‫ﺝ‬ ‫ﺏ‬/،،،،‫ﰈ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺍ‬ =‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬ ‫ﺇ‬‫اﻤﻟﺤﺼﻠﺔ‬‫اﻤﻟﺤﺼﻠﺔ‬‫اﻤﻟﺤﺼﻠﺔ‬‫اﻤﻟﺤﺼﻠﺔ‬‫ﺗﻮازى‬‫ﺗﻮازى‬‫ﺗﻮازى‬‫ﺗﻮازى‬‫ﺍ‬‫ﺝ‬/ ‫ﺡ‬ ‫ﺱ‬ ‫ﺏ‬ ‫ﺍ‬ ‫ﻩ‬ ‫ﺭ‬ ‫ﺏ‬ ‫ﺍ‬ ‫ﺝ‬ ] www.mathtop4.alafdal.net
  • 6. -------- óãbrÛa@xˆìàäÛa@ @ ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺋﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬:::: ))))((((‫ﺍ‬~‫ﺎﻛن‬ ‫إذا‬‫ﺎﻛن‬ ‫إذا‬‫ﺎﻛن‬ ‫إذا‬‫ﺎﻛن‬ ‫إذا‬‫و‬‫ﺲ‬‫ﳑ‬ ‫ﺱ‬،،،،‫و‬‫ﺲ‬‫ﳑ‬ ‫ﺹ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬، ‫ﻣﺘﻌﺎﻣﺪﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﰒ‬ ‫ﺲ‬‫ﺳ‬،،،،‫ﰒ‬ ‫ﺻﺺ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬‫ﻫﺬﻳﻦ‬ ‫ﻰﻓ‬ ‫اﻟﻮﺣﺪة‬ ‫ﻣﺘﺠﻰﻬ‬ ‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫اﻻﺠﺗﺎﻫﻦﻴ‬....‫أﺛ‬‫أﺛ‬‫أﺛ‬‫أﺛ‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫اﻟﻘﻮة‬ ‫ﺮت‬‫ﰒ‬ ‫ﻕ‬=‫ﰒ‬ ‫ﺲ‬‫ﺳ‬–‫ﰒ‬ ‫ﺻﺺ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬‫ﺍ‬=))))،،،،. (. (. (. ( ‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬‫ﻟﻠﻨﻘﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫اﻟﻘﻮة‬ ‫ﻫﺬه‬ ‫ﻋﺰم‬ ‫اﺣﺴﺐ‬))))‫و‬((((‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬‫اﺠﻘﻄﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺴﺎﻗﻂ‬ ‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ّّّّ ))))‫و‬(((( ‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬‫اﻟﻘﻮة‬ ‫ﻋﻤﻞ‬ ‫ﺧﻂ‬ ‫ﺒﻟ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫ج‬‫ج‬‫ج‬‫ج‬‫و‬ ‫ﰒ‬=‫ﰒ‬ ‫ﺭ‬××××‫ﰒ‬ ‫ﻕ‬=))))،،،،((((××××))))،،،،-((((=))))-–((((‫ﺛﻢ‬ ‫ع‬‫ﺛﻢ‬ ‫ع‬‫ﺛﻢ‬ ‫ع‬‫ﺛﻢ‬ ‫ع‬=-‫ﰒ‬ ‫ﻉ‬ ‘‘‫ج‬‫ج‬‫ج‬‫ج‬‫ﰒ‬‘‘=،،،،‘‘‫ﰒ‬ ‫ﻕ‬‘‘=]))))((((++++))))-((((= ‫ﺇ‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬‫اﻟﻌﻤﻮد‬ ‫ﻃﻮل‬=)‫؛‬٥!‫؛‬=‫ﻃﻮل‬ ‫وﺣﺪة‬‫ﻃﻮل‬ ‫وﺣﺪة‬‫ﻃﻮل‬ ‫وﺣﺪة‬‫ﻃﻮل‬ ‫وﺣﺪة‬ ‫ﺏ‬~‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻣﻘﺪاره‬ ‫ﺛﻘﻞ‬ ‫ﻋﻠﻖ‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬‫ﻬﻤﺎ‬ ‫ﻃﻮ‬ ‫ﺨﺑﻴﻄﻦﻴ‬ ‫ﺟﻢ‬ ‫ث‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬‫أﻓﻰﻘ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﻧﻘﻄﺘﻦﻴ‬ ‫ﻣﻦ‬ ‫ﺳﻢ‬ ‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬‫ﺑﻴﻨﻬﻤﺎ‬ ‫اﻛﻌﺪ‬ ‫واﺣﺪ‬ُُُُ‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬....‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬‫اﺨﻟﻴﻄﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﻟﺸﺪ‬ ‫ﻣﻘﺪار‬ ‫أوﺟﺪ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬ ‫ﻣﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﻰﻓ‬ ‫اﻟﺰاوﻳﺔ‬ ‫ﻗﺎﺋﻢ‬‫ﺝ‬ ‫ﺇ‬))))‫ﺝ‬ ‫ﺍ‬((((=‫ﺍ‬õ××××‫ﺏ‬ ‫ﺍ‬))))‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬‫إﻗﻠﻴﺪس‬ ‫ﻣﻦ‬(((( ‫ﺇ‬=‫ﺍ‬õ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺍ‬õ= ‫ﺇ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=‫ﻩ‬ ‫ﺇ‬= //// ‫ﰈ‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫اﺠﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻻﻰﻣ‬ ‫ﻗﺎﻋﺪة‬ ‫وﺑﺘﻄﺒﻴﻖ‬ ‫ﻣﺰﺘﻧﺔ‬ ‫اﺨﻛﻼث‬ ‫اﻟﻘﻮى‬‫ﺝ‬:::: ‫ﺇ‬== ‫ﺇ‬== ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺶ‬‫ﺷ‬=، ‫ﺟﻢ‬ ‫ث‬، ‫ﺟﻢ‬ ‫ث‬، ‫ﺟﻢ‬ ‫ث‬، ‫ﺟﻢ‬ ‫ث‬‫ﺶ‬‫ﺷ‬=‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬‫ﺟﻢ‬ ‫ث‬.... ))))((((‫ﺏ‬ ‫ﺍ‬/‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ﻃﻮ‬ ‫ﻣﻨﺘﻈﻢ‬ ‫ﻗﻀﻴﺐ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ووزﻧﻪ‬ ‫ﺳﻢ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬....‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬‫ﺒﻟ‬ ‫أﻓﻰﻘ‬ ‫وﺿﻊ‬ ‫ﻰﻓ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﻳﺮﺗﻜﺰ‬ ‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻋﻨﺪ‬ ‫أﺣﺪﻫﻤﺎ‬ ‫ﺣﺎﻣﻠﻦﻴ‬‫ﻧﻘﻄﺔ‬‫ﻧﻘﻄﺔ‬‫ﻧﻘﻄﺔ‬‫ﻧﻘﻄﺔ‬‫ﺍ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﻧﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫واﺨﻛﺎ‬‫ﺝ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﺗﺒﻌﺪ‬ k‫اﻟ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﻣﻦ‬ ‫ﺳﻢ‬‫ﺏ‬....‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬‫اﻟﻀﻐﻂ‬ ‫أوﺟﺪ‬ ‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬‫ﻋﻨﺪ‬ ‫ﺗﻌﻠﻴﻘﻪ‬ ‫ﺠﻳﺐ‬ ‫ى‬ ‫ا‬ ‫اﺨﻛﻘﻞ‬ ‫ﻣﻘﺪار‬ ‫ﻋﻦﻴ‬ ‫ﺛﻢ‬ ، ‫اﺤﻟﺎﻣﻠﻦﻴ‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﺒﻟ‬ ‫اﻟﻮاﻗﻊ‬ ّّّّ ‫ﺏ‬‫ﻳﻜﻮن‬ k‫ﺣ‬‫ﻳﻜﻮن‬ k‫ﺣ‬‫ﻳﻜﻮن‬ k‫ﺣ‬‫ﻳﻜﻮن‬ k‫ﺣ‬ ‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫؟‬ ‫ﻋﻨﺪﺋﺬ‬ ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻰﻫ‬ ‫ﻣﺎ‬ ، ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬ ‫ﺏ‬ ‫ﺍ‬ ‫ﺝ‬ ‫ﺶ‬‫ﺷ‬ ‫ﺶ‬‫ﺷ‬ ‫ﻩ‬ õ ‫ﺍ‬õ@ @ ‫ﺝ‬ ‫ﺍ‬ ‫ﺶ‬‫ﺷ‬ ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬))))++++‫ﻩ‬(((( ‫ﺶ‬‫ﺷ‬ ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬))))–‫ﻩ‬(((( ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬ ‫ﺶ‬‫ﺷ‬ ‫ﺟ‬‫ﺟ‬‫ﺟ‬‫ﺟ‬‫ﺘ‬‫ﺘ‬‫ﺘ‬‫ﺘ‬‫ﺎ‬‫ﺎ‬‫ﺎ‬‫ﺎ‬‫ﻩ‬ ‫ﺶ‬‫ﺷ‬ ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬ www.mathtop4.alafdal.net
  • 7. -------- ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬‫اﻷو‬ ‫اﺤﻟﺎﻟﺔ‬:::: ‫ﺭ‬++++‫ﺭ‬=) ..............) ..............) ..............) ..............(((( ‫ﰈ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺇ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬ = ‫ﺇ‬‫ﺭ‬××××–××××=‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬ ‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬))))((((‫ﺇ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬ ‫ﺇ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫ﺍ‬=‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬ ًًًً ‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫اﺤﻟﺎﻣﻞ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬ ،‫ﺝ‬=‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬ ًًًً ‫اﺤﻟ‬‫اﺤﻟ‬‫اﺤﻟ‬‫اﺤﻟ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬‫اﺨﻛﺎﻧﻴﺔ‬ ‫ﺎﻟﺔ‬:::: ‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺣﻮل‬ ‫وران‬ ‫ا‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫اﻟﻘﻀﻴﺐ‬‫ﺝ‬ ‫ﺇ‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫اﺤﻟﺎﻣﻞ‬ ‫ﻋﻨﺪ‬ ‫اﻟﻔﻌﻞ‬ ‫رد‬ ‫ﻳﻨﻌﺪم‬‫ﺍ‬ ،،،،++++‫ﻕ‬=‫ﺭ‬) .............) .............) .............) .............(((( ‫ﰈ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻣﺰﺘﻧﺔ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺉ‬‫ج‬‫ج‬‫ج‬‫ج‬‫ﺝ‬ = ‫ﺇ‬‫ﻕ‬××××–××××=‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻕ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬ ‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬‫ﻰﻓ‬ ‫وﺑﺎﺤﻛﻌﻮﻳﺾ‬))))((((‫ﺭ‬ ‫ﺇ‬=‫ﺇ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫اﺤﻟﺎﻣ‬ ‫ﺒﻟ‬ ‫اﻟﻀﻐﻂ‬‫ﻞ‬‫ﻞ‬‫ﻞ‬‫ﻞ‬‫ﺝ‬=‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬‫ﻷﺳﻔﻞ‬ ‫رأﺳﻴﺎ‬ ‫ﻧﻴﻮﺗﻦ‬ ًًًً ))))((((‫ﻣﻢ‬ ‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬‫ﻓﻴﻪ‬‫ﻓﻴﻪ‬‫ﻓﻴﻪ‬‫ﻓﻴﻪ‬‫ﺏ‬ ‫ﺍ‬=، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬‫ﺝ‬ ‫ﺍ‬=، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬، ‫ﺳﻢ‬‫ﺝ‬ ‫ﺏ‬=‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬....‫اﻟﻘﻮى‬ ‫أﺛﺮت‬‫اﻟﻘﻮى‬ ‫أﺛﺮت‬‫اﻟﻘﻮى‬ ‫أﺛﺮت‬‫اﻟﻘﻮى‬ ‫أﺛﺮت‬،،،،،،،،‫ﺛﻘﻞ‬‫ﺛﻘﻞ‬‫ﺛﻘﻞ‬‫ﺛﻘﻞ‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺲ‬‫ﳑ‬ ‫ﺍ‬ ‫ﺏ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺝ‬ ‫ﺍ‬،،،،‫ﺲ‬‫ﳑ‬ ‫ﺏ‬ ‫ﺝ‬....k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬k‫ﻧﻬﺎﻳ‬ ‫ﻰﻓ‬ ‫ﺗﺆﺛﺮان‬ ‫اﻟﻠﺘﻦﻴ‬ ‫اﻤﻟﺘﺴﺎوﻳﺘﻦﻴ‬ ‫اﻟﻘﻮﺗﻦﻴ‬ ‫أوﺟﺪ‬‫ﺝ‬ ‫ﺏ‬/ ‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﺗ‬ ‫ﺤﺗﺪﺛﺎ‬ ‫ﻟﻰﻜ‬ ‫ﻋﻠﻴﻪ‬ ‫وﻋﻤﻮدﻳﺘﻦﻴ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬‫اﻤﻟﺬﻛﻮرة‬ ‫اﻟﻘﻮى‬ ‫ﺠﻣﻤﻮﻋﺔ‬ ‫ﻣﻊ‬ ‫ﺰاﻧﺎ‬ ًًًً .... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫ﰈ‬#‫؛‬٦=$‫؛‬٨=%‫؛‬٠‫؛‬١=‫ﻙ‬ ،،،،‫ﰈ‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬‫واﺣﺪ‬ ‫دورى‬ ‫ﺗﺮﺗﻴﺐ‬ Ș‫و‬ ‫اﻤﻟﺜﻠﺚ‬ ‫أﺿﻼع‬ ‫ﻣﻊ‬ ‫ﺗﺘﻨﺎﺳﺐ‬ ‫اﻟﻘﻮى‬ ‫ﺇ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﺎﻓﺊ‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬=‫ﻙ‬××××××××‫ﻣـ‬‫ﻣـ‬‫ﻣـ‬‫ﻣـ‬))))‫ﺝ‬ ‫ﺏ‬ ‫ﺍ‬ ‫ﻣﻢ‬(((( =!‫؛‬٢××××××××!‫؛‬٢××××××××=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬ ،،،،‫ﰈ‬‫اﻻزد‬‫اﻻزد‬‫اﻻزد‬‫اﻻزد‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬‫ازدواج‬ ‫ﻣﻊ‬ ‫إﻻ‬ ‫ﻳﺰﺘن‬ ‫ﻻ‬ ‫واج‬ ‫ﺇ‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬‫اﻟﻘﻮﺗﺎن‬))))‫ﻕ‬،،،،‫ﻕ‬((((‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬‫ﻋﺰﻣﻪ‬ ‫ﻣﻌﻴﺎر‬ ‫ازدواج‬ ‫ﺗﻜﻮﻧﺎن‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬ ‫ﻕ‬ ‫ﺇ‬××××=‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻕ‬=,,,,‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬ ‫ﺏ‬ ‫ﺍ‬‫ﺝ‬ ‫ﻡ‬ ‫ﺭ‬‫ﺭ‬ ‫ﺏ‬ ‫ﺍ‬‫ﺝ‬ ‫ﻡ‬ ‫ﻕ‬ ‫ﺭ‬ ‫ﻕ‬ ‫ﻕ‬ ‫ﺏ‬‫ﺍ‬ ‫ﺝ‬ www.mathtop4.alafdal.net
  • 8. -------- ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬:::: ))))((((‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬‫اﻟﻌﻼﻗﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺟﺴﻴﻢ‬ ‫ﻣﻮﺿﻊ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻳﻌﻄﻰ‬:::: ‫ﺲ‬‫ﳑ‬ ‫ﺭ‬=))))‫ﻥ‬–‫ﻥ‬++++((((‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬‫ى‬ ‫ﺣﻴﺚ‬‫ى‬ ‫ﺣﻴﺚ‬‫ى‬ ‫ﺣﻴﺚ‬‫ى‬ ‫ﺣﻴﺚ‬‫ﰒ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬‫ﺛﺎﺑﺖ‬ ‫وﺣﺪة‬ ‫ﻣﺘﺠﻪ‬.... ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺗﻜﻮن‬ k‫ﻣ‬ ‫ﺑﻦﻴ‬ ‫ﺛﻢ‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻫﺬا‬ ‫وﻋﺠﻠﺔ‬ ‫وﺮﺳﻋﺔ‬ ‫إزاﺣﺔ‬ ‫ﻣﺘﺠﻬﺎت‬ ‫ﻋﻦﻴ‬ ّ ّّ ّّ ّّ ّ ‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬‫؟‬ ‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺗﻜﻮن‬ k‫وﻣ‬ ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬‫أن‬ ‫وﺑﻦﻴ‬ ‫اﻟﺰﻣﻦ‬ ‫ﻰﻓ‬ ‫ﻛﺪاﻟﺔ‬ ‫ﺘﻪ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻓﺄوﺟﺪ‬ ‫اﻟﻮﺣﺪة‬ ‫ﺗﺴﺎوى‬ ‫اﺠﻟﺴﻴﻢ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ّّّّ ‫ﺗ‬ ‫ﻣﻌﺪل‬‫ﺗ‬ ‫ﻣﻌﺪل‬‫ﺗ‬ ‫ﻣﻌﺪل‬‫ﺗ‬ ‫ﻣﻌﺪل‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬‫اﻟﻌﺠﻠﺔ‬ ‫ﻣﺘﺠﻪ‬ ‫ﻰﻓ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻤﻟﺘﺠﻪ‬ n‫اﻟﻘﻴﺎ‬ ‫اﻟﺮﻀب‬ ‫ﺣﺎﺻﻞ‬ ‫ﻳﺴﺎوى‬ ‫اﻟﺰﻣﻰﻨ‬ ‫ﻐﺮﻴﻫﺎ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫ف‬‫ف‬‫ف‬‫ف‬‫ﰒ‬=‫ﰒ‬ ‫ﺭ‬–‫ﺭ‬‫ﰒ‬=))))‫ﻥ‬–‫ﻥ‬((((‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬ ‫ﻉ‬‫ﰒ‬==))))‫ﻥ‬–((((‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬،،،،‫ﰒ‬ ‫ﺝ‬=‫ى‬‫ى‬‫ى‬‫ى‬‫ﰒ‬ ‫ﺇ‬‫ﻉ‬××××‫ﺝ‬=))))‫ﻥ‬–(((( ‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻥ‬<<<<#‫؛‬٢‫ﺇ‬‫ﻉ‬××××‫ﺝ‬<<<<‫ﺇ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﻣﺘﺴﺎرﻋﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻋﻨﺪﻣﺎ‬‫ﻥ‬>>>>#‫؛‬٢‫ﺇ‬‫ﻉ‬××××‫ﺝ‬>>>>‫ﺇ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬‫ﺗﻘﺼﺮﻴﻳﺔ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫ط‬‫ط‬‫ط‬‫ط‬=!‫؛‬٢‫ﻙ‬))))‫ﰒ‬ ‫ﻉ‬‫ﰒ‬ ‫ﻉ‬ ٌ((((=!‫؛‬٢××××××××))))‫ﻥ‬–(((( =!‫؛‬٢××××))))‫ن‬‫ن‬‫ن‬‫ن‬–((((××××=))))‫ﻥ‬–((((=ٌ ‫ﰒ‬ ‫ﻉ‬‫ﰒ‬ ‫ﺝ‬ ))))((((‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻛﺘﻠﺘﻪ‬ ‫ﺷﺨﺺ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬‫ﻣﺼﻌﺪ‬ ‫داﺧﻞ‬ ‫ﻣﻮﺟﻮد‬ ‫ﻛﺠﻢ‬....‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬‫ﺑﻮﺣﺪة‬ ‫اﻟﺸﺨﺺ‬ ‫ﻫﺬا‬ ‫ﺒﻟ‬ ‫اﺠﺼﻌﺪ‬ ‫ﻓﻌﻞ‬ ‫رد‬ ‫ﻋﻦﻴ‬ ّّّّ ‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬‫اﻵﺗﻴﺔ‬ ‫اﺤﻟﺎﻻت‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻰﻓ‬ ‫اﺠﻴﻮﺗﻦ‬:::: ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬.... ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺒﻟ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬ ًًًً .... ‫ﺛ‬‫ﺛ‬‫ﺛ‬‫ﺛ‬‫ﺎﺨﻛﺎ‬‫ﺎﺨﻛﺎ‬‫ﺎﺨﻛﺎ‬‫ﺎﺨﻛﺎ‬ ًًًً ::::‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺑﻌﺠﻠﺔ‬ ‫اﻤﻟﺼﻌﺪ‬ ‫ﺤﺗﺮك‬ ‫إذا‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////‫ث‬‫ث‬‫ث‬‫ث‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬‫أﺳﻔﻞ‬ ‫إﻰﻟ‬ ‫رأﺳﻴﺎ‬ ًًًً .... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ))))‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬‫اﻷول‬ ‫اﺠﻤﻮذج‬ ‫ﻣﻦ‬ ‫اﺨﻛﺎ‬ ‫اﻟﺴﺆال‬ ‫ﻣﺜﻞ‬(((( ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ُُُُ ::::‫ﺭ‬=‫ﻙ‬õ=××××,,,,=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬ ‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬‫ﺛﺎﻧﻴﺎ‬ ًًًً ::::‫ﺭ‬–‫ﻙ‬õ=‫ﺭ‬ ‫ﺉ‬ ‫ﺝ‬ ‫ﻙ‬–=××××‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬ ‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬‫ﺛﺎﺨﻛﺎ‬ ًًًً ::::‫ﻙ‬õ–‫ﺭ‬=‫ﺉ‬ ‫ﺝ‬ ‫ﻙ‬–‫ﺭ‬=××××‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﺭ‬=‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬ @õ‫ﻑ‬‫ﰒ‬ @@õ‫ﻥ‬ @õ‫ط‬‫ط‬‫ط‬‫ط‬ @@õ‫ﻥ‬ www.mathtop4.alafdal.net
  • 9. -------- ))))((((‫ﺍ‬~‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﻃﺎﺋﺮة‬ ‫ﺗﺘﺤﺮك‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫أﻓﻰﻘ‬ ‫ﻣﺴﺎر‬ ‫ﻰﻓ‬ ‫ﻛﺠﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬‫ﻰﻓ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫دﺧﻠﺖ‬ ، ‫س‬ ‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﻼﻗﺖ‬ ‫اﻟﻐﺒﺎر‬ ‫ﻣﻦ‬ ‫ﺳﺤﺎﺑﺔ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬‫ﻧﻴﻮﺗﻦ‬....‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬‫ﻋﻨﺪﻣﺎ‬ ‫اﻟﻄﺎﺋﺮة‬ ‫ﺮﺳﻋﺔ‬ ‫اﺣﺴﺐ‬ ‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫اﺨﻟﺮوج‬ ‫وﺷﻚ‬ ‫ﺒﻟ‬ ‫ﺗﻜﻮن‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬‫ﻤﻟﺪة‬ ‫داﺧﻠﻬﺎ‬ ‫ﺗﺘﺤﺮك‬ ‫اﺳﺘﻤﺮت‬ ‫ﺑﺄﻧﻬﺎ‬ ‫ﻋﻠﻤﺎ‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ًًًً ‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﺱ‬=××××%‫؛‬٨‫؛‬١=‫م‬‫م‬‫م‬‫م‬////، ‫ث‬، ‫ث‬، ‫ث‬، ‫ث‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬‫دﻗﺎﺋﻖ‬=××××=‫ث‬‫ث‬‫ث‬‫ث‬ ‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫داﺧﻞ‬::::‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻰﻫ‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬-‫ﻡ‬=‫ﺝ‬ ‫ﻙ‬ ‫ﺇ‬-=‫ﺝ‬‫ﺝ‬ ‫ﺉ‬=-!‫؛‬٤‫؛‬٢‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬ ‫ﺤﻟ‬‫ﺤﻟ‬‫ﺤﻟ‬‫ﺤﻟ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬‫اﻟﺴﺤﺎﺑﺔ‬ ‫ﻣﻦ‬ ‫اﺨﻟﺮوج‬ ‫ﻈﺔ‬::::‫ﻉ‬ ‫ﰈ‬=‫ﻉ‬++++‫ﻥ‬ ‫ﺝ‬=-!‫؛‬٤‫؛‬٢××××=‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬ ‫ﺇ‬‫ﻉ‬=××××*‫؛‬٥!‫؛‬=‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﺱ‬ ‫ﺏ‬~‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺴﺮﻴ‬ ‫واﺣﺪ‬ ‫ﻃﻦ‬ ‫ﻛﺘﻠﺘﻬﺎ‬ ‫ﺳﻴﺎرة‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬‫ﻓﻤﺎ‬ ، ‫أﻓﻰﻘ‬ ‫ﻃﺮﻳﻖ‬ ‫ﺒﻟ‬ ‫اﻟﺴﺎﻋﺔ‬ ‫ﻰﻓ‬ ‫ﻛﻢ‬ ‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫اﻤﻟﻘﺎوﻣ‬ ‫ﻗﻮة‬ ‫ﺎﻛﻧﺖ‬ ‫إذا‬ ‫اﻤﻟﺤﺮك‬ ‫ﻗﺪرة‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫ﻣﻘﺪارﻫﺎ‬ ‫ﺔ‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫واﻤﻟﻘﺎوﻣﺔ‬ ‫اﻵﻟﺔ‬ ‫ﻗﺪرة‬ ‫ﺗﺘﻐﺮﻴ‬ ‫ﻟﻢ‬ ‫ذا‬ ‫و‬ ، ‫ﻛﺠﻢ‬ ‫ث‬ ‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬‫ﻗﻴﺎﺳﻬﺎ‬ ‫ﺑﺰاوﻳﺔ‬ ‫اﻷﻓﻰﻘ‬ ‫ﺒﻟ‬ ‫ﻳﻤﻴﻞ‬ ‫ﻣﻨﺤﺪرا‬ ‫اﻟﺴﻴﺎرة‬ ‫ﺑﻬﺎ‬ ‫ﺗﺼﻌﺪ‬ k‫اﻟ‬ ‫اﻟﺮﺴﻋﺔ‬ ‫ﻰﻫ‬ ‫ﻓﻤﺎ‬ ًًًً ‫ﻩ‬‫ﺣﻴﺚ‬‫ﺣﻴﺚ‬‫ﺣﻴﺚ‬‫ﺣﻴﺚ‬ ‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬=!‫؛‬٠‫؛‬٢.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫ﺱ‬=××××%‫؛‬٨‫؛‬١=‫م‬‫م‬‫م‬‫م‬////‫ث‬‫ث‬‫ث‬‫ث‬ ‫ﰈ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺴﻋﺔ‬))))‫ﻣﻨ‬‫ﻣﻨ‬‫ﻣﻨ‬‫ﻣﻨ‬‫ﺘﻈﻤﺔ‬‫ﺘﻈﻤﺔ‬‫ﺘﻈﻤﺔ‬‫ﺘﻈﻤﺔ‬((((‫ﺇ‬‫ﻕ‬=‫ﻡ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬ ‫ﺇ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻕ‬××××‫ﻉ‬=××××=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬....‫ﻡ‬////‫ث‬‫ث‬‫ث‬‫ث‬=÷÷÷÷=‫ﺣﺼﺎن‬‫ﺣﺼﺎن‬‫ﺣﺼﺎن‬‫ﺣﺼﺎن‬ ‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬‫اﻤﻟﻨﺤﺪر‬ ‫ﺒﻟ‬ ‫اﻟﺼﻌﻮد‬::::‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻣﻌﺎدﻟﺔ‬‫ﻕ‬ //// =‫ﻡ‬++++‫و‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﺟﺎ‬‫ﻩ‬ ‫ﺇ‬‫ﻕ‬ //// =++++××××!‫؛‬٠‫؛‬٢=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬ ‫ﰈ‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬‫اﻟﻘﺪرة‬=‫ﻕ‬ //// ××××‫ﻉ‬ //// ‫ﺇ‬=××××‫ﻉ‬ //// ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻉ‬ //// =%‫؛‬٨$‫؛‬‫م‬‫م‬‫م‬‫م‬////‫ث‬‫ث‬‫ث‬‫ث‬ ‫ﻉ‬ ‫ﺇ‬ //// =%‫؛‬٨$‫؛‬××××*‫؛‬٥!‫؛‬=,,,,‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬‫ﻛﻢ‬////‫س‬‫س‬‫س‬‫س‬ www.mathtop4.alafdal.net
  • 10. -------- sÛbrÛa@xˆìàäÛa@ @ ‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬‫أوﻻ‬ ًًًً ::::‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬‫اﻵﺗﻴﺔ‬ ‫اﻷﺳﺌﻠﺔ‬ ‫ﻣﻦ‬ ‫ﺳﺆاﻟﻦﻴ‬ ‫ﻋﻦ‬ ‫أﺟﺐ‬:::: ))))((((‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬‫ﻛﺘﻠﺘﺎﻫﻤﺎ‬ ‫ﻛﺮﺗﺎن‬ ‫ﺗﺘﺤﺮك‬، ‫ﺟﻢ‬، ‫ﺟﻢ‬، ‫ﺟﻢ‬، ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬Ș‫و‬ ‫أﻣﻠﺲ‬ ‫أﻓﻰﻘ‬ ‫ﻧﻀﺪ‬ ‫ﺒﻟ‬ ‫واﺣﺪ‬ ‫ﻣﺴﺘﻘﻴﻢ‬ ‫ﺧﻂ‬ ‫ﻰﻓ‬ ‫ﺟﻢ‬ ‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺑﺎﻟﺮﺴﻋﺘﻦﻴ‬ ‫ﻣﺘﻀﺎدﻳﻦ‬ ‫اﺠﺗﺎﻫﻦﻴ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////، ‫ث‬، ‫ث‬، ‫ث‬، ‫ث‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬‫اﻟﺮﺘﺗﻴﺐ‬ ‫ﺒﻟ‬ ‫ث‬....‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫اﻟﻜﺮﺗﻦﻴ‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬ُُُُ ‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬‫ﻟﻠﻜﺮﺗﻦﻴ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫وﻃﺎﻗﺔ‬ ‫اﺠﻟﺴﻢ‬ ‫ﻫﺬا‬ ‫ﺮﺳﻋﺔ‬ ‫ﻓﺎﺣﺴﺐ‬ ، ‫واﺣﺪ‬ ‫ﻛﺠﺴﻢ‬ ‫اﺤﻛﺼﺎدم‬ ‫ﺑﻌﺪ‬ ‫ﺘﺎ‬ ‫ﺤﺗﺮ‬ ‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫ﻣﻦ‬ ‫أى‬ ‫دﻓﻊ‬ ‫ﻣﻘﺪار‬ ‫ﺬﻟﻚ‬ ‫و‬ ‫اﺤﻛﺼﺎدم‬ ‫ﻧﺘﻴﺠﺔ‬.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ××××++++××××))))-((((=))))++++((((××××‫ﻉ‬ //// ‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫وﻣﻨﻬﺎ‬‫ﻉ‬ //// =‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫ث‬‫ث‬‫ث‬‫ث‬ ‫ﺇ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺗﺘﺤﺮك‬ ‫اﻤﻟﺠﻤﻮﻋﺔ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬////‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫اﻟﻜﺮة‬ ‫اﺠﺗﺎه‬ ‫ﻰﻓ‬ ‫ث‬‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬ ‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،‫اﻤﻟﻔﻘﻮدة‬ ‫ﺔ‬ ‫اﺤﻟﺮ‬ ‫ﻃﺎﻗﺔ‬ ،=‫ط‬‫ط‬‫ط‬‫ط‬–‫ط‬‫ط‬‫ط‬‫ط‬ =!‫؛‬٢××××××××))))((((----!‫؛‬٢××××××××))))(((([[[[–))))!‫؛‬٢××××××××((((=‫إرج‬‫إرج‬‫إرج‬‫إرج‬ ‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،‫اﻷﺧﺮى‬ ‫ﺒﻟ‬ ‫اﻟﻜﺮﺗﻦﻴ‬ ‫إﺣﺪى‬ ‫دﻓﻊ‬ ،=‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬‫إﺣﺪاﻫﻤﺎ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻰﻓ‬ ‫اﺤﻛﻐﺮﻴ‬ =))))–((((=‫داﻳﻦ‬‫داﻳﻦ‬‫داﻳﻦ‬‫داﻳﻦ‬ ))))((((‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﻛﺘﻠﺘﻬﺎ‬ ‫رﺻﺎﺻﺔ‬ ‫أﻃﻠﻘﺖ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﺑﺮﺴﻋﺔ‬ ‫ﺟﻢ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬////‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬‫ﺑﻄﺒﻘﺔ‬ ‫ﻣﺒﻄﻦ‬ ‫ﺳﻤﻴﻚ‬ k‫ﺧﺸ‬ ‫ﺣﺎﺟﺰ‬ ‫ﺒﻟ‬ ‫ث‬ ‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﺳﻤﻜﻬﺎ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬‫ﻣﺴﺎﻓﺔ‬ ‫وﻗﻄﻌﺖ‬ ‫اﻟﻄﺒﻘﺔ‬ ‫ﻫﺬه‬ ‫ﻓﺎﺧﺮﺘﻗﺖ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬k‫ﺣ‬ ‫اﺨﻟﺸﺐ‬ ‫داﺧﻞ‬ ‫ﺳﻢ‬ ‫أﺳﺘﻘﺮت‬‫أﺳﺘﻘﺮت‬‫أﺳﺘﻘﺮت‬‫أﺳﺘﻘﺮت‬....‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬‫ﺿﻌﻒ‬ ‫وﺗﺴﺎوى‬ ‫ﺛﺎﺑﺘﺔ‬ ‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺤﻟﺮ‬ ‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫أن‬ ‫ﻋﻠﻢ‬ ‫ﻓﺈذا‬ُُُُ‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬‫ﻟﻠﻤﻄﺎط‬ ‫ﻗﻴﻤﺘﻬﺎ‬ ‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،‫ﺟﺮام‬ ‫اﻟﻜﻴﻠﻮ‬ ‫ﺑﺜﻘﻞ‬ ‫واﺨﻟﺸﺐ‬ ‫اﻤﻟﻄﺎط‬ ‫ﻣﻦ‬ ‫ﻞﻛ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻗﻮة‬ ‫ﻓﺎﺣﺴﺐ‬ ،.... ‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬‫اﺤﻟﻞ‬ ‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫اﻤﻟﻘﺎوﻣﺔ‬ ‫ﻧﻔﺮض‬‫ﻟﻠﻤﻄﺎط‬‫ﻟﻠﻤﻄﺎط‬‫ﻟﻠﻤﻄﺎط‬‫ﻟﻠﻤﻄﺎط‬=‫ﻡ‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬‫وﻟﻠﺨﺸﺐ‬ ‫ﻛﺠﻢ‬ ‫ث‬=‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬‫ﻛﺠﻢ‬ ‫ث‬ ‫م‬ ‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬‫اﺤﻛﺤﻮﻳﻼت‬::::‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬‫ﺟﻢ‬=,,,,، ‫ﻛﺠﻢ‬، ‫ﻛﺠﻢ‬، ‫ﻛﺠﻢ‬، ‫ﻛﺠﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬=,,,,‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬ ،،،،‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬‫ﺳﻢ‬=,,,,‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬‫ﻣﺮﺘ‬ ‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬‫واﻟﻄﺎﻗﺔ‬ ‫اﻟﺸﻐﻞ‬ ‫ﻣﺒﺪأ‬ ‫ﻣﻦ‬:::: ‫اﺤﻛﻐ‬‫اﺤﻛﻐ‬‫اﺤﻛﻐ‬‫اﺤﻛﻐ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬‫اﻟﺮﺻﺎﺻﺔ‬ ‫ﺔ‬ ‫ﺣﺮ‬ ‫ﻃﺎﻗﺔ‬ ‫ﻰﻓ‬ ‫ﺮﻴ‬=‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬++++‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ‫ﻣﻦ‬ ‫اﻟﺸﻐﻞ‬ ‫ﺇ‬!‫؛‬٢××××,,,,]]]]–))))(((([[[[=))))-‫ﻡ‬××××,,,,–‫ﻡ‬××××,,,,((((××××,,,,‫م‬ ‫وﻣﻨﻬﺎ‬‫م‬ ‫وﻣﻨﻬﺎ‬‫م‬ ‫وﻣﻨﻬﺎ‬‫م‬ ‫وﻣﻨﻬﺎ‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬ ‫ﺉ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬‫اﻤﻟﻄﺎط‬ ‫ﻣﻘﺎوﻣﺔ‬=‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬‫اﺨﻟﺸﺐ‬ ‫ﻣﻘﺎوﻣﺔ‬ ، ‫ﻛﺠﻢ‬ ‫ث‬=‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬‫ﻛﺠﻢ‬ ‫ث‬ + ‫ﻉ‬ ‫ﺍ‬ =‫ﻉ‬ ‫ﺏ‬ =- ‫ﻡ‬‫ﻡ‬ ,,,,,,,, ‫ﻉ‬= www.mathtop4.alafdal.net