...ﺐﻘﻠﻟﺍ ﻭ ﻢﺳﻻﺍ
U
ﻦﻳﺮﻤﺗ
ﺔﺤﻴﺤﺼﻟﺍ ﺔﺑﺎﺟﻹﺍ ﺪﺟﻭﺍ
01
ﺔﻴﻟﺎﺘﻟﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﺮﺒﺘﻌﻨﻟ ( 1
2 2 3 3 3
x =
ﻲﻨﻌﻳ ﻭﺃ x=1
1 3x=
ﻭﺃ x=3
ﻊﺑﺮﻣ ﻞﻴﻄﺘﺴﻣ ﻦﻴﻌﻣ ﻮﻬﻓ ﻥﺎﺴﻳﺎﻘﺘﻣ ﻩﺍﺮﻄﻗ ﻉﻼﺿﺃ ﻱﺯﺍﻮﺘﻣ (2 3 ( ] -3 ;7 ]∩] -7 ;3 ﻮﻫ [
] -7 ;7 ] ] -3;7 ] ] -3 ;3 ]
4 ( [ -2 ;1
∈[ ﻥﺎﻓ x -2x+1 ﻰﻟﺇ ﻲﻤﺘﻨﺗ
] 0 ;5 ] ]
-1;5 ] ]
-5 ;1 ]
5 (
1 5
x − ≤
ﻲﻨﻌﻳ ﻝ ﺮﺼﺤﻟﺍ ﻯﺪﻣ
ﻮﻫ x
5 2 5 2− 5
U
ﻦﻳﺮﻤﺗ 02
ﻲﻓ ﻞﺣ (1 RI
-ﺍ
3x−1 −2x−1
-ﺏ
(2x −1)2 =16
...
...
...
...
1 ﺕﺎﻋﻮﻤﺠﻤﻟﺍ ﻩﺬﻫ ﺕﻻﺎﺠﻣ ﻡﺪﻗ (
-ﺍ
{
; 2}
... { ; 3} ...A= x∈ x ≤ = B = x∈ x − =
ﺪﺟﻭﺍ -ﺏ
... ...
AB = AB =
U
ﻦﻳﺮﻤﺗ 03
ﺔﻴﻟﺎﺘﻟﺍ ﺓﺭﺎﺒﻌﻟﺍ ﺮﺒﺘﻌﻨﻟ
2 1
3 A x
x
= −
ﺚﻴﺣ
−[1; 2]
x ∈
1
ﻥﺃ ﺖﺒﺛﺃ
(
ﺮﻔﺼﻠﻟ ﺔﻔﻟﺎﺨﻣ x-3
………
………
ﻥﺃ ﻦﻴﺑ (2
2 5 A 3
= +x
−
………
…………
...
...
ﺓﺭﺎﺒﻌﻠﻟ ﻻﺎﺠﻣ ﺪﺟﻭﺃ (3 A
...
...
...
ﺩﺪﻋ ﺔﺒﻗﺍﺮﻣ ﺽﺮﻓ
05 ﺕﺎﻴﺿﺎﻳﺮﻟﺍ ﻲﻓ ﺭﻮﻨﻟﺍ ﻱﺩﺍﻭ ﺔﻳﺩﺍﺪﻋﻹﺍ ﺔﺳﺭﺪﻤﻟﺍ 2015 /
ﺫﺎﺘﺳﻷﺍ 2016
ﻲﻄﻴﻤﺻﺍ ﺰﻌﻣ
ﻯﻮﺘﺴﻤﻟﺍ ﻲﺳﺎﺳﺃ 9
ﻭ1 2
ﻦﻳﺮﻤﺗ 04
ﺚﻴﺣ ﻲﻟﺎﺘﻟﺍ ﻢﺳﺮﻟﺍ ﺮﺒﺘﻌﻨﻟ ABCDEFGH
ﻱﺯﺍﻮﺘﻣ
ﺕﻼﻴﻄﺘﺴﻤﻟﺍ
ﻥﺃ ﻦﻴﺑ ( 1 ﻭ (AB)
ﺲﻔﻧ ﻲﻓ ﺎﺴﻴﻟ (EG)
ﻱﻮﺘﺴﻤﻟﺍ ...
...
...
...
...
ﺔﻄﻘﻨﻟﺍ ﻦﻜﺘﻟ ( 2 ﻒﺼﺘﻨﻣ I
ﻭ [AB]
ﺔﻄﻘﻨﻟﺍ ﻒﺼﺘﻨﻣ J
[FB] (AF) ﻱﺯﺍﻮﻣ (IJ) ﻥﺃ ﻦﻴﺑ – ﺃ
...
...
...
...
...
ﻥﺃ ﻦﻴﺑ - ﺏ ﻱﻮﺘﺴﻤﻠﻟ ﻱﺯﺍﻮﻣ (IJ)
(DGF)
...
...
...
...
3 ﻥﺃ ﻦﻴﺑ ( ﻱﻮﺘﺴﻤﻟﺍ ﺪﻣﺎﻌﻳ (AB)
(FGC)
...
...
...
...
ﺐﺴﺣﺃ (4 ﻥﺃ ﺎﻤﻠﻋ HB
AB=5cm ﻭ
EH=3cm ﻭ
FB=6cm
...
...
H
B D C
E F
G
A
