Tp8 9bالروابط الميكانيكية

Page 1

‫ﺍﻝﻤﺤﻭﺭ ﺍﻝﺭﺍﺒﻊ‬

‫ﺍﻝﺘﻌﺒﻴﺭ ﺍﻝﺒﻴﺎﻨﻲ‬ ‫ﺍﻝﺩﺭﺱ ﻋﺩﺩ ‪08‬‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫א وא א ‬

‫ﻜﻴﻑ ﻴﻤﻜﻥ ﺃﻥ ﻨﺭﺴﻡ ﺭﺒﻁﺎ ﻤﻴﻜﺎﻨﻴﻜﻴﺎ؟‬ ‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪92‬‬


‫ﺍﻟﺮﻭﺍﺑﻂ ﺍﳌﻴﻜﺎﻧﻴﻜﻴ‪‬ﺔ‬

‫ا رس د‬

‫‪08‬‬

‫ﻲ ‪::‬‬ ‫ﻲ‪‬‬ ‫ﺍﻻﺴﺘﻜﺸﺎﻓ ‪‬‬ ‫ﹼﺸــﺎﻁ ﺍﻻﺴﺘﻜﺸﺎﻓ‬ ‫‪ --11‬ﺍﻝﺍﻝﻨﻨﹼﺸــﺎﻁ‬ ‫أ ا ول ا ّ × ا ن ا ‬ ‫ '&ّك ا ‪ 3 1 "#$‬و‪ 2‬د !ي ‪&/‬آ ‪,-‬‬ ‫ا! ‬ ‫ *) ‪ 2 "#$‬ا ‪ 1 "#$‬وا ‪2 "#$‬‬

‫ ‬

‫‪1‬‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫ ‬

‫‪2‬‬

‫ ر آ ‬

‫ ر‬

‫ ‬

‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪93‬‬


‫‪‬ﺔ‪::‬‬ ‫ﹼﻁﺒﻴﻘﻴﻴ‪‬ﺔ‬ ‫ﺍﻷﻨـﺸﻁﺔ ﺍﻝﺍﻝﺘﺘﹼﻁﺒﻴﻘ‬ ‫‪ --22‬ﺍﻷﻨـﺸﻁﺔ‬ ‫א ط ‪ W 1‬‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬

‫א ط ‪ W 2‬‬

‫ﺘﻌﺭ‪‬ﻑ ﻋﻠﻰ ﻨﻭﻉ ﺍﻝﺭ‪‬ﺒﻁ ﺍﻹﻨﺩﻤﺎﺠﻲ ﺒﻴﻥ ﺃﺠﺯﺍ ﺍﻝﻘﻁﻊ ﺍﻝﺘﹼﺎﻝﻴﺔ ﻤﻊ ﺫﻜﺭ ﻨﻭﻉ ﺍﻝﺘﹼﻘﻨﻴﺔ ﺍﻝﻤﺴﺘﻌﻤﻠﺔ‬ ‫‪....................................................................................‬‬ ‫‪....................................................................................‬‬

‫‪....................................................................................‬‬ ‫‪....................................................................................‬‬

‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪94‬‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫ﺒﺎﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻝﻤﺤﺎﻭﺭ ‪ Oy ،Ox‬ﻭ ‪ Oz‬ﺍﻝﻤﺒﻴ‪‬ﻨﺔ ﻋﻠﻰ ﺍﻝﺭﺴﻡ ﺍﻝﺴ‪‬ﺎﺒﻕ ﻝﻤﺸﺩ ﺍﻝﻭﺼﻠﺔ‪ ،‬ﺘﻌﺭ‪‬ﻑ‬ ‫ﺇﻝﻰ ﺍﻝﺤﺭﻜﺎﺕ ﺍﻝﻤﻤﻜﻨﺔ ﺒﻴﻥ ﺍﻝﻘﻁﻊ ﺍﻝﺘﹼﺎﻝﻴﺔ‪:‬‬ ‫‪T‬‬ ‫‪R‬‬ ‫‪... ... ...‬‬ ‫………‬ ‫………‬ ‫‪Tx‬‬ ‫‪Rx‬‬ ‫ ‬ ‫‪‬‬ ‫‪2/1 ... ... ...‬‬ ‫………‬ ‫………‬ ‫‪2/1‬‬ ‫‪Ty‬‬ ‫‪Ry‬‬ ‫‪‬‬ ‫………‬ ‫………‬ ‫‪Tz‬‬ ‫‪Rz‬‬ ‫‪T‬‬ ‫‪R‬‬ ‫‪... ... ...‬‬ ‫………‬ ‫………‬ ‫‪Tx‬‬ ‫‪Rx‬‬ ‫ ‬ ‫‪2/3 ... ... ...‬‬ ‫………‬ ‫………‬ ‫‪2/3‬‬ ‫‪Ty‬‬ ‫‪Ry‬‬ ‫‪‬‬ ‫………‬ ‫………‬ ‫‪Tz‬‬ ‫‪Rz‬‬


‫‪....................................................................................‬‬ ‫‪....................................................................................‬‬

‫א ط ‪ W 3‬‬

‫ ‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫ﺒﺎﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻝﻤﺤﺎﻭﺭ ‪ Oy ،Ox‬ﻭ ‪ Oz‬ﺍﻝﻤﺒﻴ‪‬ﻨﺔ ﻋﻠﻰ ﺍﻝﺭﺴﻡ ﺍﻝﺴ‪‬ﺎﺒﻕ ﻗﺎﻁﻊ ﺍﻷﺴﻼﻙ‪،‬‬ ‫ﺘﻌﺭ‪‬ﻑ ﺇﻝﻰ ﺍﻝﺤﺭﻜﺎﺕ ﺍﻝﻤﻤﻜﻨﺔ ﺒﻴﻥ ﺫﺭﺍﻉ ﺍﻝﻘﺎﻁﻊ )‪ (1‬ﻭﺍﻝﻤﺤﻭﺭ )‪:(2‬‬ ‫‪R‬‬ ‫…………‬

‫‪2/1‬‬

‫…………‬ ‫…………‬

‫‪T‬‬

‫‪Rx‬‬ ‫‪Ry‬‬ ‫‪Rz‬‬

‫…………‬ ‫…………‬ ‫…………‬

‫‪Tx‬‬ ‫‪Ty‬‬ ‫‪Tz‬‬

‫ ‬

‫‪... ... ...‬‬ ‫‪2/1 ... ... ...‬‬ ‫‪‬‬

‫א ط ‪W 4‬‬

‫‪ -1‬ﻴﺤﺘﻭﻱ ﻗﺎﻁﻊ ﺍﻷﻨﺎﺒﻴﺏ ﻋﻠﻰ ﺭﺍﺒﻁﻴﻥ ﺇﺭﺘﻜﺎﺯﻴ‪‬ﻴﻥ ﺘﻌﺭ‪‬ﻑ ﻋﻠﻴﻬﻤﺎ ﺒﻭﻀﻌﻬﻤﺎ ﻓﻲ ﺩﺍﺌﺭﺓ ﻋﻠﻰ‬ ‫ﺍﻝﺼ‪‬ﻭﺭﺓ ﺍﻝﺘﹼﺎﻝﻴﺔ‪:‬‬

‫‪ -2‬ﺒﺎﻝﺭ‪‬ﺠﻭﻉ ﺇﻝﻰ ﺍﻝﺭ‪‬ﺴﻡ ﺍﻝﺸﹼﺎﻤل ﻝﻘﺎﻁﻊ ﺍﻷﻨﺎﺒﻴﺏ ﺤﺩﺩ ﺍﻝﻌﻨﺎﺼﺭ ﺍﻝﻤﺴﺎﻫﻤﺔ ﻓﻲ ﺇﻨﺠﺎﺯ ﺍﻝﺭ‪‬ﺒﻁ‬ ‫ﺍﻹﺭﺘﻜﺎﺯﻱ ﺜﻡ ﻗﻡ ﺒﺘﻠﻭﻴﻨﻬﺎ ‪:‬‬ ‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪95‬‬


‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫‪ -3‬ﺘﻌﺭ‪‬ﻑ ﻋﻠﻰ ﺍﻝﺤﺭﻜﺎﺕ ﺍﻝﻤﻤﻜﻨﺔ ﻝﻠﻘﻁﻌﺔ )‪ (6‬ﺒﺎﻝﻨﹼﺴﺒﺔ ﻝﻠﻘﻁﻌﺔ )‪: (5‬‬ ‫‪T‬‬ ‫‪R‬‬ ‫‪.. .. ..‬‬ ‫‪‬‬ ‫‪Tx = ….. Rx = …..‬‬ ‫‪.. .. .. 5/6‬‬ ‫ ‬ ‫‪Ty = ….. Ry = …..‬‬ ‫‪Tz = ….. Rz = …..‬‬ ‫ ‬ ‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪96‬‬


‫א ط ‪ W 5‬‬

‫‪.1‬‬

‫ﺘﺄﻤل ﺼﻭﺭﺓ ﺍﻝﻤﻨﻭﺭ ﺍﻝﻌﺎﻜﺱ ﺍﻝﺘﹼﺎﻝﻴﺔ‪:‬‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫‪ .2‬ﺒﺎﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻝﻤﺤﺎﻭﺭ ‪ Oy ،Ox‬ﻭ ‪ Oz‬ﺍﻝﻤﺒﻴ‪‬ﻨﺔ ﻋﻠﻰ ﺍﻝﺭﺴﻡ ﺍﻝﺴ‪‬ﺎﺒﻕ ﻝﻠﻤﻨﻭﺭ‬ ‫ﺍﻝﻌﺎﻜﺱ‪ ،‬ﺘﻌﺭ‪‬ﻑ ﺇﻝﻰ ﺍﻝﺤﺭﻜﺎﺕ ﺍﻝﻤﻤﻜﻨﺔ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (1‬ﻭﺍﻝﻘﻁﻌﺔ )‪:(2‬‬ ‫‪R‬‬ ‫‪……….‬‬

‫‪2/1‬‬

‫‪……….‬‬ ‫‪……….‬‬

‫‪T‬‬

‫‪Rx‬‬ ‫‪Ry‬‬ ‫‪Rz‬‬

‫‪……….‬‬ ‫‪……….‬‬ ‫‪……….‬‬

‫‪Tx‬‬ ‫‪Ty‬‬ ‫‪Tz‬‬

‫ ‬

‫ﻴﺴﻤ‪‬ﻰ ﺍﻝﺭ‪‬ﺒﻁ ﺍﻝﻤﻴﻜﺎﻨﻴﻜﻲ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (1‬ﻭﺍﻝﻘﻁﻌﺔ )‪ (2‬ﺒـ‬ ‫ א ط ‪ W 6‬‬

‫'‪x‬‬

‫‪3‬‬

‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬ ‫ ‬

‫‪... ... ...‬‬ ‫‪‬‬ ‫‪... ... ... 2/1‬‬

‫‪..............................................................................‬‬

‫'‪z‬‬

‫'‪O‬‬

‫'‪y‬‬

‫‪z‬‬

‫‪2‬‬

‫‪x‬‬

‫‪1‬‬

‫‪O‬‬

‫‪y‬‬ ‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪97‬‬


‫‪ .1‬ﺒﺎﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻝﻤﺤﺎﻭﺭ ‪ Oy ،Ox‬ﻭ ‪ Oz‬ﺍﻝﻤﺒﻴ‪‬ﻨﺔ ﻋﻠﻰ ﺍﻝﺭﺴﻡ ﺍﻝﺴ‪‬ﺎﺒﻕ ﻝﻠﺫﹼﺭﺍﻉ ﺍﻝﺯ‪‬ﺍﻝﻕ‪،‬‬ ‫ﺘﻌﺭ‪‬ﻑ ﺇﻝﻰ ﺍﻝﺤﺭﻜﺎﺕ ﺍﻝﻤﻤﻜﻨﺔ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (1‬ﻭﺍﻝﻘﻁﻌﺔ )‪:(2‬‬ ‫‪T‬‬

‫‪R‬‬

‫‪... ... ...‬‬ ‫‪‬‬ ‫‪... ... ... 1/2‬‬

‫‪………….‬‬ ‫‪Tx‬‬ ‫‪Rx ………….‬‬ ‫‪ Ty …………. Ry …………. 1/2‬‬ ‫‪………….‬‬ ‫‪Tz‬‬ ‫‪Rz ………….‬‬ ‫ﻴﺴﻤ‪‬ﻰ ﺍﻝﺭ‪‬ﺒﻁ ﺍﻝﻤﻴﻜﺎﻨﻴﻜﻲ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (1‬ﻭﺍﻝﻘﻁﻌﺔ )‪ (2‬ﺒـ ‪..............................................................‬‬ ‫‪ .2‬ﺒﺎﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻝﻤﺤﺎﻭﺭ '‪ Oy' ،Ox‬ﻭ '‪ Oz‬ﺍﻝﻤﺒﻴ‪‬ﻨﺔ ﻋﻠﻰ ﺍﻝﺭﺴـﻡ ﺍﻝـﺴ‪‬ﺎﺒﻕ ﻝﻠـﺫﹼﺭﺍﻉ‬ ‫ﺍﻝﺯ‪‬ﺍﻝﻕ‪ ،‬ﺘﻌﺭ‪‬ﻑ ﺇﻝﻰ ﺩﺭﺠﺎﺕ ﺍﻝﺤﺭﻜﺎﺕ ﺍﻝﻤﻤﻜﻨﺔ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (2‬ﻭﺍﻝﻘﻁﻌﺔ )‪:(3‬‬

‫‪R‬‬ ‫‪………….‬‬ ‫‪………….‬‬

‫‪Tx‬‬ ‫‪Ty‬‬ ‫‪Tz‬‬

‫‪………….‬‬ ‫‪………….‬‬ ‫‪………….‬‬

‫‪... ... ...‬‬ ‫‪‬‬ ‫‪... ... ... 2/3‬‬

‫ ‬

‫ﻴﺴﻤ‪‬ﻰ ﺍﻝﺭ‪‬ﺒﻁ ﺍﻝﻤﻴﻜﺎﻨﻴﻜﻲ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (3‬ﻭﺍﻝﻘﻁﻌﺔ )‪ (2‬ﺒـ‬

‫‪................................................................‬‬

‫א ط ‪ W 7‬‬

‫‪z‬‬

‫ ‬ ‫‪ .1‬ﻴﺤﺘﻭﻱ ﻤﺸﺩ ﺍﻝﻭﺼﻠﺔ ﺍﻝﻤﺒﻴﻥ ﻓﻲ‬ ‫ﺍﻝﺭ‪‬ﺴﻡ ﺍﻝﺴ‪‬ﺎﺒﻕ ﻋﻠﻰ ﺭﺒﻁ ﺍﻨﺯﻻﻗﻲ‬ ‫ﺘﻌﺭ‪‬ﻑ ﻋﻠﻴﻪ ﺒﻭﻀﻌﻪ ﻓﻲ ﺩﺍﺌﺭﺓ‪.‬‬ ‫‪ .2‬ﺍﺫﻜﺭ ﺃﺭﻗﺎﻡ ﺍﻝﻘﻁﻊ ﺍﻝﻤﺴﺎﻫﻤﺔ ﻓﻲ‬

‫‪x‬‬

‫‪O‬‬

‫‪y‬‬

‫‪2‬‬

‫‪3‬‬ ‫‪1‬‬

‫ﺇﻨﺠﺎﺯ ﻫﺫﺍ ﺍﻝﺭ‪‬ﺒﻁ ‪:‬‬ ‫‪.......................................................................‬‬ ‫‪.........................................................................‬‬ ‫‪.....................‬‬

‫‪ .3‬ﺘﻌﺭ‪‬ﻑ ﺇﻝـﻰ ﺩﺭﺠـﺎﺕ ﺍﻝﺤﺭﻜـﺔ‬ ‫ﺍﻝﻤﻤﻜﻨﺔ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (1‬ﻭﺍﻝﻘﻁﻌﺔ)‪(2‬‬ ‫‪R‬‬

‫‪T‬‬

‫‪………….‬‬ ‫‪Tx‬‬ ‫‪Rx ………….‬‬ ‫ ‬ ‫‪………….‬‬ ‫‪Ty‬‬ ‫‪Ry …………. 2/1‬‬ ‫‪………….‬‬ ‫‪Tz‬‬ ‫‪Rz ………….‬‬ ‫‪ .4‬ﻤﺎ ﻁﺒﻴﻌﺔ ﺍﻝﺭ‪‬ﺒﻁ ﺍﻝﻤﻴﻜﺎﻨﻴﻜﻲ ﺒﻴﻥ ﺍﻝﻘﻁﻌﺔ)‪ (1‬ﻭﺍﻝﻘﻁﻌﺔ)‪:(2‬‬

‫‪... ... ...‬‬ ‫‪‬‬ ‫‪... ... ... 2/1‬‬

‫‪................................................................................................................................................................................................................‬‬

‫ ‬ ‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪98‬‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫‪Rx‬‬ ‫‪Ry‬‬ ‫‪Rz‬‬

‫‪………….‬‬

‫‪2/3‬‬

‫‪T‬‬


‫א ط ‪ W 8‬‬

‫‪ .1‬ﻴﺤﺘﻭﻱ ﺍﻝﻘﺩﻡ ﺍﻝﺯ‪‬ﺍﻝﻕ ﻋﻠﻰ ﺭﺒﻁ ﺍﻨﺯﻻﻗﻲ ﺒﺎﻝﺭ‪‬ﺠﻭﻉ ﺇﻝﻰ ﺍﻝﺭ‪‬ﺴﻡ ﺍﻝﺸﹼﺎﻤل ﺘﻌﺭ‪‬ﻑ ﺇﻝﻰ‬ ‫ﺍﻝﻤﻜﻭﻨﺎﺕ ﺍﻝﻤﺴﺎﻫﻤﺔ ﻓﻲ ﺇﻨﺠﺎﺯ ﻫﺫﺍ ﺍﻝﺭ‪‬ﺒﻁ ﺒﺫﻜﺭ ﺍﺴﻤﻬﺎ ﻭﺭﻗﻤﻬﺎ ؟‬ ‫‪...............................................................................................................................................................................................‬‬

‫‪ .2‬ﻗﻡ ﺒﺘﻠﻭﻴﻥ ﻫﺫﻩ ﺍﻝﻤﻜﻭﻨﺎﺕ ﺒﺄﻝﻭﺍﻥ ﻤﺨﺘﻠﻔﺔ‪.‬‬ ‫‪ .3‬ﺒﺎﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻝﻤﺤﺎﻭﺭ ‪ Oy ،Ox‬ﻭ ‪ Oz‬ﺍﻝﻤﺒﻴ‪‬ﻨﺔ ﻋﻠﻰ ﺍﻝﺭﺴﻡ ﺍﻝﺸﹼﺎﻤل ﻝﻠﻘﺩﻡ ﺍﻝﺯ‪‬ﺍﻝـﻕ‬ ‫ﺍﻝﺯ‪‬ﺍﻝﻕ‪ ،‬ﺘﻌﺭ‪‬ﻑ ﺇﻝﻰ ﺩﺭﺠﺎﺕ ﺍﻝﺤﺭﻜﺎﺕ ﺍﻝﻤﻤﻜﻨﺔ ﺒﻴﻥ ﺍﻝﻤﻜﻭ‪‬ﻨﺎﺕ ﺍﻝﻤﺴﺎﻫﻤﺔ ﻓـﻲ ﺇﻨﺠـﺎﺯ‬ ‫ﺍﻝﺭﺒﻁ ﺍﻹﻨﺯﻻﻗﻲ‪:‬‬ ‫‪R‬‬

‫‪.. / ..‬‬

‫‪T‬‬

‫‪………….‬‬

‫‪Rx‬‬

‫‪………….‬‬

‫‪Tx‬‬

‫‪………….‬‬

‫‪Ry‬‬

‫‪………….‬‬

‫‪Ty‬‬

‫‪………….‬‬

‫‪Rz‬‬

‫‪………….‬‬

‫‪Tz‬‬

‫‪... ... ...‬‬ ‫‪‬‬ ‫…‪... ... ... ... /‬‬

‫ ‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫‪z‬‬ ‫‪x‬‬ ‫‪y‬‬

‫‪O‬‬

‫‪06‬‬ ‫‪05‬‬ ‫‪04‬‬ ‫‪03‬‬ ‫‪02‬‬ ‫‪01‬‬ ‫ر ‪$‬‬

‫‪01‬‬ ‫‪01‬‬ ‫‪01‬‬ ‫‪01‬‬ ‫‪01‬‬ ‫‪01‬‬ ‫ د‬

‫ﺍﻝﺴ‪‬ﻠﻡ‪:‬‬ ‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫ﺒﺭﻏﻲ ﺍﻝﺠﺭ‬ ‫ﺒﺭﻏﻲ ﺍﻝﻀ‪‬ﻐﻁ‬ ‫ﺒﺭﻏﻲ ﺍﻝﺘﹼﺜﺒﻴﺕ‬ ‫ﺇﺴﻨﺎﺩ ﺍﻝﻀ‪‬ﺒﻁ‬ ‫ﻤﺯﻻﻕ‬ ‫ﻤﺴﻁﺭﺓ ﻤﺩﺭ‪‬ﺠﺔ‬ ‫('&‪ %‬‬ ‫‪1:1‬‬

‫ دّة‬

‫ ‪ ,-.‬ت‬

‫ﺍﻝﻘﺩﻡ ﺍﻝﺯ‪‬ﺍﻝﻕ ‪1/50‬‬ ‫‪99‬‬


‫ﺃﺿﻴﻒ ﺇﱃ ﻛﺮ‪‬ﺍﺳﻲ‬

‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪100‬‬


‫ﺍﻝﺘﻌﺒـﻴـﺭ ﺍﻝﺒﻴـــﺎﻨﻲ‬

‫ﻜﺭ‪‬ﺍﺱ ﺍﻷﻨﺸﻁﺔ‬

‫‪101‬‬


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