ﻥﻣﺎﺿﺗﻟﺍ ﻲﺣ ﺔﻳﺩﺍﺩﻋﻹﺍ ﺔﺳﺭﺩﻣﻟﺍ 27
01/ 2016/
ﻲﺳﺎﺳﺃ9 ﻭ3
4
ﺭﺻﺎﻧﻟﺍ ﺩﺎﻣﻋ
ﺓﺩﻣﻟﺍ
ﻕﺩ 55
ﺏﻘﻠﻟﺍ ﻭ ﻡﺳﻻﺍ
U ﺔﺑﻗﺍﺭﻣ ﺽﺭﻓ ﺕﺎﻳﺿﺎﻳﺭ 3
U ﻥﻳﺭﻣﺗ 1
U)
4 (ﻁﺎﻘﻧ
ﺭﺎﻁﺇ ﻲﻓ ﺔﺣﻳﺣﺻﻟﺍ ﺔﺑﺎﺟﻹﺍ ﻊﺿ
a≥b
ﺇ ﻥﺫ
2 2
a+ ≥ +b
2 2
a+ ≤ +b
3 3
a+ = +b
2−4
ﻱﻭﺎﺳﻳ 4
−4 1
4
ِ ﻲﻓ ﻡﺋﺎﻗ ABC
ﻭ C
10; 8
AB= BC=
ﺇ ﻥﺫ 12 AC=
ﺇ ﻥﺫ 6 AC=
ﺇ ﻥﺫ 5 AC=
3 x− = −y
ﺇ ﻥﺫ x y〉
x y〈 x= y
U ﻥﻳﺭﻣﺗ 2
U )
4 (ﻁﺎﻘﻧ
U ﻥﻳﺗﺭﺎﺑﻌﻟﺍ ﺭﺑﺗﻌﻧ
U 2 5 3a= +
ﻭ
2 12 3 b= +
ﻥﺃ ﻥﻳﺑ (1
4 3 3 b= +
... .
b=
ﻥﺭﺎﻗ (2 ﻭ2 5
... . 4 3
...
ﻝ ﺔﻧﺭﺎﻘﻣ ﺞﺗﻧﺗﺳﺍ (3 ﻭ a
ﻡﺛ b 1
ﻭ a 1
b
...
...
1
U ﻥﻳﺭﻣﺗ 3
U)
3 (ﻁﺎﻘﻧ
= ... ﺏﺳﺣﺍ (ﺃ
2 2
2− × 8−
ﺩﺩﻌﻠﻟ ﺓﻭﻗ ﺔﻐﻳﺻ ﻲﻓ ﺏﺗﻛﺃ (ﺏ 10
=...
2 3
0.01 100 10
× −
...
ﺎﻳﻟﺯﺎﻧﺗ ﺏﺗﺭ (ﺝ
1
ﻭ 3 1
ﻭ 5 1
7
...
U ﻥﻳﺭﻣﺗ 4
U )
9 (ﺔﻔﻋﺎﺿﻣﻟﺍ ﺔﻗﺭﻭﻟﺍ ﻰﻠﻋ ) (ﻁﺎﻘﻧ
ﺓﺭﺋﺍﺩ ﻡﺳﺭﺃ
( )
Cﺎﻫﺯﻛﺭﻣ ﺎﻫﺭﻁﻗ ﻭ O
8 AB= cm
ﺔﻁﻘﻧ ﺎﻬﻳﻠﻋ ﻥﻳﻋ ﻭ ﺙﻳﺣ D
4 AD= cm
ﻥﺃ ﻥﻳﺑ (1 ﻥﺃ ﺞﺗﻧﺗﺳﺍ .ﻡﺋﺎﻗ ﺙﻠﺛﻣ ADB
4 3 DB=
.
ﻡﺳﺭﺃ(2 ﻝ ﻱﺩﻭﻣﻌﻟﺍ ﻁﺳﻭﻣﻟﺍ
∆
[ ]DB ﻥﻳﻋﻭ ﻑﺻﺗﻧﻣ I
[ ]DB ﺏﺳﺣﺃ . .ﻙﺑﺍﻭﺟ ﻼﻠﻌﻣ OI
3 [ ]AI ( ﻭ [ ]DO ﻲﻓ ﻥﺎﻌﻁﺎﻘﺗﻳ ﺍﺫﺎﻣ .G
ﻝﺛﻣﻳ ﺙﻠﺛﻣﻟﺍ ﻲﻓ G
؟ADB ﺏﺳﺣﺃ .ﻝﻠﻋ .OG
ﻥﻳﻋ (4 ﻑﺻﺗﻧﻣ K
[ ]AD ﻥﺃ ﻥﻳﺑ . ﻭ B
ﻭ G
.ﺓﺩﺣﺍﻭ ﺔﻣﺎﻘﺗﺳﺍ ﻰﻠﻋ K
ﺏﺳﺣﺃ (5 . AG
ﺩﻳﻌﺳ ﻅﺣ 2
