1. ‫ﺍﻟﻭﻁﻨﻴﺔ‬ ‫ﺍﻟﺘﺭﺒﻴﺔ‬ ‫ﻭﺯﺍﺭﺓ‬
‫ﺒﻌﺩ‬ ‫ﻋﻥ‬ ‫ﺍﻟﺘﻜﻭﻴﻥ‬ ‫ﻭ‬ ‫ﻟﻠﺘﻌﻠﻴﻡ‬ ‫ﺍﻟﻭﻁﻨﻲ‬ ‫ﺍﻟﺩﻴﻭﺍﻥ‬
‫ﺍﻟــﻤـﺴـﺘﻭﻯ‬ ‫ﺍﻤﺘﺤﺎﻥ‬ ‫ﺇﺠـﺎﺒـﺔ‬ ‫ﺘﺼﻤﻴﻡ‬–‫ﻤــﺎﻱ‬ ‫ﺩﻭﺭﺓ‬2009
‫ﺍﻟﻤﺴﺘﻭﻯ‬:1‫ﻤﺘﻭﺴﻁ‬‫ﺍﻟﻤــﺎﺩﺓ‬:‫ﺭﻴﺎﻀﻴﺎﺕ‬
‫ﺍﻟﻌــﻼﻤــﺔ‬
‫ﺍﻟﻤﻭﻀﻭﻉ‬ ‫ﻤﺤﺎﻭﺭ‬
‫ﺍﻹﺠـــﺎﺒـــﺔ‬ ‫ﻋــﻨــﺎﺼــﺭ‬
‫ﻤﺠﺯﺍﺓ‬‫ﻜ‬‫ﺎﻤﻠﺔ‬
‫ﺍﻷﻭل‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬
‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬
‫ﺤﺎﻟﺔ‬ ‫ﻜل‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺠﻬﻭل‬ ‫ﺍﻟﻌﺩﺩ‬:
266,48=+96,45‫ﻤﻨﻪ‬
65,21=23,68-‫ﻤﻨﻪ‬
123,6=×12‫ﻤﻨﻪ‬
3,55×1,72=‫ﻤﻨﻪ‬
‫ﻟﻠﻤﺴﺘﻭﻱ‬ ‫ﻤﻌﻠﻤﺎ‬ ‫ﺭﺴﻡ‬:
‫ﺍﻟﻨﻘﻁ‬ ‫ﺘﻌﻠﻴﻡ‬) :3;2-(A‫؛‬)-3 ; -2(B‫؛‬)5 ; 3(C‫؛‬)2-;4(D.
‫ﺍﻟﻤﺴﺘﻘﻴﻤﺎﻥ‬ ‫ﺭﺴﻡ‬)AB(‫ﻭ‬)CD(:
‫ﺍﻟﻤﺴﺘﻘﻴﻤﺎﻥ‬)AB(‫ﻭ‬)CD(‫ﻤﺘﻭﺍﺯﻴﺎ‬‫ﻥ‬
0.75
0.75
0.75
0.75
4×0.5
0.25
0.25
03
03
1/4
=266,48 - 96,45=170,03
=65,21 + 23,68=8
=123,6÷12= 10,3
=266,48 - 96,45=170,03
=65,21 + 23,68=88.89
=123,6÷12= 10,3
=1,72x3,55=6,106

2. ‫ﺍﻟﺜﺎﻟﺙ‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬
‫ﺍﻟﺭﺍﺒﻊ‬ ‫ﺍﻟﺘﻤﺭﻴﻥ‬
‫ﺍﻟﺸﻜل‬ ‫ﺭﺴﻡ‬:
‫ﺍﻟﺯ‬ ‫ﻗﻴﺱ‬ ‫ﺤﺴﺎﺏ‬‫ﺍﻭﻴﺔ‬XÔT:
( ) ( )= − + = ° − ° + ° = ° − ° = °
= °
ˆ ˆ ˆ ˆXOT XOY YOU UOT 180 50 90 180 140 40
ˆXOT 40
‫ﺍﻟﻤﺜﻠﺙ‬AOB‫ﻓﻲ‬ ‫ﻗﺎﺌﻡ‬O
‫ـﺙ‬‫ـ‬‫ﺍﻟﻤﺜﻠـــ‬ ‫ـﺴﺎﺤﺔ‬‫ـ‬‫ﻤـــ‬AOB‫ـﻲ‬‫ـ‬‫ﻫـــ‬:
× ×
= = = =
=
2
OA OB 3,5cm 4cm 14cm 2
S 7cm
2 2 2
2
S 7cm
80‫ﺍﻟﺤﻴﻭﺍﻨﺎﺕ،ﻤﻨﻬﺎ‬ ‫ﻤﻥ‬ ‫ﺭﺃﺴﺎ‬:‫ﺍﻟﻐﻨﻡ‬%50،‫ﺍﻟﻤﺎﻋﺯ‬%20.
‫ﺍﻟﻤﺌﻭﻴﺔ‬ ‫ﺍﻟﻨﺴﺒﺔ‬‫ﻫ‬ ‫ﻟﻠﺒﻘﺭ‬‫ﻲ‬:
( )100% 50% 20% 100% 70% 30%− + = − =
‫ﺭﺅﻭﺱ‬ ‫ﻋﺩﺩ‬‫ﺍﻟﻐﻨﻡ‬‫ﻫﻭ‬:
80 50 4000
80 50% 40
100 100
×
× = = =
‫ﺭﺅﻭﺱ‬ ‫ﻋﺩﺩ‬‫اﻟﻤ‬‫ﺎ‬‫ﻋﺰ‬‫ه‬‫ﻮ‬:
80 20 1600
80 20% 16
100 100
×
× = = =
‫ﺭﺅﻭﺱ‬ ‫ﻋﺩﺩ‬‫ﺍﻟﺒﻘﺭ‬‫ﻫﻭ‬:
80 30 2400
80 30% 24
100 100
×
× = = =
‫ﺠﺩﻭل‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﻌﻁﻴﺎﺕ‬ ‫ﺘﻨﻅﻴﻡ‬:
‫ﺍﻟﺒﻘﺭ‬‫اﻟﻤ‬‫ﺎ‬‫ﻋﺰ‬‫ﺍﻟﻐﻨﻡ‬‫ﺍﻟﺼﻨﻑ‬
241640‫ﺍﻟﺭﺅﻭﺱ‬ ‫ﻋﺩﺩ‬
%30%20%50‫ﺍﻟﻤﺌﻭﻴﺔ‬ ‫ﺍﻟﻨﺴﺒﺔ‬
01
0.50
0.50
01
0.25
0.25
0.25
0.25
0.75
03
03
2/4

3. ‫ﺍﻟﻤﺴﺎﻟﺔ‬
‫ﺩﺍﺌﺭﻱ‬ ‫ﺒﻤﺨﻁﻁ‬ ‫ﺍﻟﻤﻌﻁﻴﺎﺕ‬ ‫ﺘﻤﺜﻴل‬:
°180=
100
18000
=
100
50360x
=1α
×
∝ = = = °2
360 20 7200
72
100 100
×
∝ = = = °
360 30 10800
1083 100 100
‫ﺍﻷﻭل‬ ‫ﺍﻟﺠﺯﺀ‬:
‫ﻟﻠﺨﺯﺍﻥ‬ ‫ﺍﻟﻜﻠﻲ‬ ‫ﺍﻟﺤﺠﻡ‬)V(‫ﻫﻭ‬:
3
V 1,80m 1,20m 0,90m 1,944m= × × =
( )3 3 3
V 1,944m 1,944 1000 dm 1944dm= = × =
( )3
V 1,944m 1,944 1000 L 1944L= = × =
‫ﺒﺎﻟﻠﺘ‬ ‫ﺍﻟﺨﺯﺍﻥ‬ ‫ﻴﺤﺘﻭﻴﻬﺎ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﻤﺎﺀ‬ ‫ﻜﻤﻴﺔ‬‫ﺭ‬‫ﻫﻲ‬):V1(
3 3 3 1944L 5832
V1 V 1944L L 1458L
4 4 4 4
×
= × = × = = =
‫ﺍﻟﻠﺘﺭﺍ‬ ‫ﻋﺩﺩ‬‫ﺕ‬‫ﻫﻭ‬ ‫ﺍﻟﺨﺯﺍﻥ‬ ‫ﻟﻤﻠﺊ‬ ‫ﺇﻀﺎﻓﺘﻬﺎ‬ ‫ﻴﺠﺏ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﻤﺎﺀ‬ ‫ﻤﻥ‬:)V2(
V2 V V1 1944L 1458L 486L= − = − =
‫ﻫﻭ‬ ‫ﻤﻠﺌﻪ‬ ‫ﺒﻌﺩ‬ ‫ﺍﻟﺨﺯﺍﻥ‬ ‫ﺍﺴﺘﻌﻤﺎل‬ ‫ﻟﻠﻌﺎﺌﻠﺔ‬ ‫ﻴﻤﻜﻥ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻷﻴﺎﻡ‬ ‫ﻋﺩﺩ‬:
1944L 120L 16,2÷ =:‫ﺘﺴﺘﻌﻤ‬ ‫ﺃﻥ‬ ‫ﻟﻠﻌﺎﺌﻠﺔ‬ ‫ﻴﻤﻜﻥ‬‫ل‬‫ﺍﻟﺨﺯﺍﻥ‬16‫ﻴﻭﻤﺎ‬.
0.25
0.25
0.25
0.50
0.75
0.50
0.50
0.75
0.50
0.50
08
3/4
‫داﺋﺮي‬ ‫ﺑﻤﺨﻄﻂ‬ ‫اﻷﺻﻨﺎف‬ ‫ﺗﻤﺜﻴﻞ‬
%50 ;‫اﻟﻐﻨﻢ‬
%20 ;‫اﻟﻤﻌﺰ‬
%30 ;‫اﻟﺒﻘﺮ‬
‫اﻟﻐﻨﻢ‬ ‫اﻟﻤﻌﺰ‬ ‫اﻟﺒﻘﺮ‬

4. ‫ﺍﻟﺜﺎﻨﻲ‬ ‫ﺍﻟﺠﺯﺀ‬:
‫ﺍﻟﺨﺭﻴﻁﺔ‬ ‫ﻫﺫﻩ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻘﻴﺎﺴﺎﺕ‬:
1 180cm 18cm
180cm 6cm
30 30 3
1 120cm 12cm
120cm 4cm
30 30 3
1 90cm 9cm
90cm 3cm
30 30 3
× = = =
× = = =
× = = =
‫ﺍﻟﻘﻴﺎﺴﺎﺕ‬ ‫ﻫﺫﻩ‬ ‫ﺒﺎﺴﺘﻌﻤﺎل‬ ‫ﺍﻟﺘﺼﻤﻴﻡ‬:
-‫ﺍﻨﺴﺠﺎﻡ‬‫ﺍﻟﻨﺘﺎﺌﺞ‬.
-‫ﺍﻟﻭﺭﻗﺔ‬ ‫ﺘﻘﺩﻴﻡ‬
0.50
0.50
0.50
01
01
01
02
4/4
6,00
3,00
4,00