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‫ﺍﻟﻭﻁﻨﻴﺔ‬ ‫ﺍﻟﺘﺭﺒﻴﺔ‬ ‫ﻭﺯﺍﺭﺓ‬
‫ﺍﻟﺭﻤﺯ‬ ‫ﺒﻌﺩ‬ ‫ﻋﻥ‬ ‫ﺍﻟﺘﻜﻭﻴﻥ‬ ‫ﻭ‬ ‫ﻟﻠﺘﻌﻠﻴﻡ‬ ‫ﺍﻟﻭﻁﻨﻲ‬ ‫ﺍﻟﺩﻴﻭﺍﻥ‬:A/18-2
‫ﺍﻟــﻤـﺴـﺘﻭﻯ‬ ‫ﺇﻤـﺘـﺤــﺎﻥ‬–‫ﻤــﺎﻱ‬ ‫ﺩﻭﺭﺓ‬2009
‫ﺍﻟﻤﺴﺘـﻭﻯ‬:1‫ﻤﺘﻭﺴـﻁ‬‫ﺍﻟﻤـﺎﺩﺓ‬:‫ﺭﻴﺎﻀﻴـﺎﺕ‬‫ﺍﻟﺘـﻭﻗﻴﺕ‬:08‫ﺴﺎ‬–10‫ﺴﺎ‬
‫ﺍﻷﻭل‬ ‫ﺍﻟﺠﺯﺀ‬)12‫ﻥ‬(
‫ﺍﻷﻭل‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬) :04‫ﻨﻘ‬‫ﺎﻁ‬(
‫ﺍﻟﻤﺠﻬﻭل‬ ‫ﺍﻟﻌﺩﺩ‬ ‫ﺤﺎﻟﺔ‬ ‫ﻜل‬ ‫ﻓﻲ‬ ‫ﺃﺤﺴﺏ‬‫ﻳﻠﻲ‬ ‫ﻓﻴﻤﺎ‬:
1(4+ ...... =2.3
2(32+ ....... =15
3(5=0.5....... +
4(112+ ...... =112
5(50....... =–75
6(100=150-......
‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬) :04‫ﻨﻘﺎ‬‫ﻁ‬(
]AB[‫ﺤﻴﺙ‬ ‫ﻤﺴﺘﻘﻴﻡ‬ ‫ﻗﻁﻌﺔ‬:mC7=AB‫ﺍﻟﻤﺴﺘﻘﻴﻡ‬ ‫ﺨﻁ‬ ‫ﺇﻟﻰ‬ ‫ﺒﺎﻟﻨﺴﺒﺔ‬ ‫ﺍﻟﺠﻬﺔ‬ ‫ﻨﻔﺱ‬ ‫ﻓﻲ‬)AB(‫ﺯﺍﻭﻴﺘﻴﻥ‬ ‫ﺃﻨﺸﺊ‬
ˆABC‫ﻗﻴﺴﻬﺎ‬55°‫ﻭﺯﺍﻭﻴﺔ‬ˆBAC‫ﻗﻴﺴﻬﺎ‬65°‫ﻴﺘﻘﺎﻁﻊ‬CB[‫ﻭ‬DA[‫ﺍﻟﻨﻘﻁﺔ‬ ‫ﻓﻲ‬E.
-‫ﺍﻟﻘﻴﺱ‬ ‫ﺃﺤﺴﺏ‬ˆBAE.
‫ﺍﻟﺜﺎﻟﺙ‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬) :04‫ﻨﻘﺎﻁ‬(
‫ﺍﻟﻜﺴﻭﺭ‬ ‫ﺍﺨﺘﺯل‬:
45
54
,
117
36
,
189
27
‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﺍﻟﺠﺯﺀ‬) :08‫ﻨﻘﺎﻁ‬(
‫ﻫﻭ‬ ‫ﻋﺩﺩﻴﻥ‬ ‫ﻤﺠﻤﻭﻉ‬24‫ﻫﻭ‬ ‫ﻭﻓﺭﻗﻬﻤﺎ‬2.
‫ﺍﻷﻭل‬ ‫ﺍﻟﻌﺩﺩ‬ ‫ﻨﺴﻤﻲ‬X‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﻭﺍﻟﻌﺩﺩ‬Y‫ﻴﻜﻭﻥ‬ ‫ﺒﺤﻴﺙ‬Y>X.
1.‫ﻫﻭ‬ ‫ﻋﺩﺩﻴﻥ‬ ‫ﻤﺠﻤﻭﻉ‬ ‫ﻋﻥ‬ ‫ﺍﻷﻭﻟﻰ‬ ‫ﺘﻌﺒﺭ‬ ‫ﻤﻌﺎﺩﻟﺘﻴﻥ‬ ‫ﺃﻜﺘﺏ‬24‫ﺘﻌﺒ‬ ‫ﻭﺍﻟﺜﺎﻨﻴﺔ‬‫ﻓﺭﻗﻬﻤﺎ‬ ‫ﻋﻥ‬ ‫ﺭ‬2.
2.‫ﺒﺈﻴﺠﺎ‬ ‫ﻟﻙ‬ ‫ﺘﺴﻤﺢ‬ ‫ﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻜﺘﺏ‬‫ﺩ‬X.
3.‫ﻴ‬‫ﻋ‬‫ﻤﻥ‬ ‫ﻜﻼ‬ ‫ﻥ‬X‫ﻭ‬Y.
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  • 1. ‫ﺍﻟﻭﻁﻨﻴﺔ‬ ‫ﺍﻟﺘﺭﺒﻴﺔ‬ ‫ﻭﺯﺍﺭﺓ‬ ‫ﺍﻟﺭﻤﺯ‬ ‫ﺒﻌﺩ‬ ‫ﻋﻥ‬ ‫ﺍﻟﺘﻜﻭﻴﻥ‬ ‫ﻭ‬ ‫ﻟﻠﺘﻌﻠﻴﻡ‬ ‫ﺍﻟﻭﻁﻨﻲ‬ ‫ﺍﻟﺩﻴﻭﺍﻥ‬:A/18-2 ‫ﺍﻟــﻤـﺴـﺘﻭﻯ‬ ‫ﺇﻤـﺘـﺤــﺎﻥ‬–‫ﻤــﺎﻱ‬ ‫ﺩﻭﺭﺓ‬2009 ‫ﺍﻟﻤﺴﺘـﻭﻯ‬:1‫ﻤﺘﻭﺴـﻁ‬‫ﺍﻟﻤـﺎﺩﺓ‬:‫ﺭﻴﺎﻀﻴـﺎﺕ‬‫ﺍﻟﺘـﻭﻗﻴﺕ‬:08‫ﺴﺎ‬–10‫ﺴﺎ‬ ‫ﺍﻷﻭل‬ ‫ﺍﻟﺠﺯﺀ‬)12‫ﻥ‬( ‫ﺍﻷﻭل‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬) :04‫ﻨﻘ‬‫ﺎﻁ‬( ‫ﺍﻟﻤﺠﻬﻭل‬ ‫ﺍﻟﻌﺩﺩ‬ ‫ﺤﺎﻟﺔ‬ ‫ﻜل‬ ‫ﻓﻲ‬ ‫ﺃﺤﺴﺏ‬‫ﻳﻠﻲ‬ ‫ﻓﻴﻤﺎ‬: 1(4+ ...... =2.3 2(32+ ....... =15 3(5=0.5....... + 4(112+ ...... =112 5(50....... =–75 6(100=150-...... ‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬) :04‫ﻨﻘﺎ‬‫ﻁ‬( ]AB[‫ﺤﻴﺙ‬ ‫ﻤﺴﺘﻘﻴﻡ‬ ‫ﻗﻁﻌﺔ‬:mC7=AB‫ﺍﻟﻤﺴﺘﻘﻴﻡ‬ ‫ﺨﻁ‬ ‫ﺇﻟﻰ‬ ‫ﺒﺎﻟﻨﺴﺒﺔ‬ ‫ﺍﻟﺠﻬﺔ‬ ‫ﻨﻔﺱ‬ ‫ﻓﻲ‬)AB(‫ﺯﺍﻭﻴﺘﻴﻥ‬ ‫ﺃﻨﺸﺊ‬ ˆABC‫ﻗﻴﺴﻬﺎ‬55°‫ﻭﺯﺍﻭﻴﺔ‬ˆBAC‫ﻗﻴﺴﻬﺎ‬65°‫ﻴﺘﻘﺎﻁﻊ‬CB[‫ﻭ‬DA[‫ﺍﻟﻨﻘﻁﺔ‬ ‫ﻓﻲ‬E. -‫ﺍﻟﻘﻴﺱ‬ ‫ﺃﺤﺴﺏ‬ˆBAE. ‫ﺍﻟﺜﺎﻟﺙ‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬) :04‫ﻨﻘﺎﻁ‬( ‫ﺍﻟﻜﺴﻭﺭ‬ ‫ﺍﺨﺘﺯل‬: 45 54 , 117 36 , 189 27 ‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﺍﻟﺠﺯﺀ‬) :08‫ﻨﻘﺎﻁ‬( ‫ﻫﻭ‬ ‫ﻋﺩﺩﻴﻥ‬ ‫ﻤﺠﻤﻭﻉ‬24‫ﻫﻭ‬ ‫ﻭﻓﺭﻗﻬﻤﺎ‬2. ‫ﺍﻷﻭل‬ ‫ﺍﻟﻌﺩﺩ‬ ‫ﻨﺴﻤﻲ‬X‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﻭﺍﻟﻌﺩﺩ‬Y‫ﻴﻜﻭﻥ‬ ‫ﺒﺤﻴﺙ‬Y>X. 1.‫ﻫﻭ‬ ‫ﻋﺩﺩﻴﻥ‬ ‫ﻤﺠﻤﻭﻉ‬ ‫ﻋﻥ‬ ‫ﺍﻷﻭﻟﻰ‬ ‫ﺘﻌﺒﺭ‬ ‫ﻤﻌﺎﺩﻟﺘﻴﻥ‬ ‫ﺃﻜﺘﺏ‬24‫ﺘﻌﺒ‬ ‫ﻭﺍﻟﺜﺎﻨﻴﺔ‬‫ﻓﺭﻗﻬﻤﺎ‬ ‫ﻋﻥ‬ ‫ﺭ‬2. 2.‫ﺒﺈﻴﺠﺎ‬ ‫ﻟﻙ‬ ‫ﺘﺴﻤﺢ‬ ‫ﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻜﺘﺏ‬‫ﺩ‬X. 3.‫ﻴ‬‫ﻋ‬‫ﻤﻥ‬ ‫ﻜﻼ‬ ‫ﻥ‬X‫ﻭ‬Y. 1/1