... ﺐﻘﻠﻟﺍ ﻭ ﻢﺳﻻﺍ
U
ﻢﻗﺭ ﻦﻳﺮﻤﺗ
ﺢﻴﺤﺼﻟﺍ ﺡﺍﺮﺘﻗﻻﺍ ﺪﺟﻭﺃ
01
1 ( A(-2;-1) ﻭ
B(2;-1) ﻰﻟﺇ ﺔﺒﺴﻨﻟﺎﺑ ﺓﺮﻅﺎﻨﺘﻣ
(OI) O (OJ)
2 (
13 ( 13)
− − −
ﻱﻭﺎﺴﺗ 0
-26 26
ﺎﻨﻟ (3 D(-5;7) ﺎﻬﺗﺮﻴﻈﻧ
ﻰﻟﺇ ﺔﺒﺴﻨﻟﺎﺑ C (OI)
ﺎﻬﺗﺎﻴﺛﺪﺣﺍ (5;-7) (-5;-7) (5; 7)
4 ( a-b= -8+12 ﻲﻨﻌﻳ
a<b b<a
5
ﻲﻟﺎﺘﻟﺍ ﻢﺳﺮﻟﺍ ﻲﻓ (
ﺚﻴﺣ ﺚﻠﺜﻣ ABC ABC=60
ﻭ AMN=70 ﻭ
(MN) // (BC) ﺲﻴﻗ ﻥﺎﻓ
ﻮﻫMAN
60 50
70
U
ﻢﻗﺭ ﻦﻳﺮﻤﺗ 0
U
2
ﺐﺴﺣﺃ (1
-10 -(-11+15)=………..……
(-25) -(-18)=……….
(-1)x(-4)x11x(-6)x(-25)=………..
-40 -(-15-18)=………..…………
ﺎﻳﺪﻋﺎﺼﺗ ﺩﺍﺪﻋﻷﺍ ﻩﺬﻫ ﺐﺗﺭ (2 -12 ; 8 ; 0 ; -10 ; 13 ; -5 ; -8
...
ﻦﻴﺑ ﻥﺭﺎﻗ(3 ﻭ a
ﺔﻟﺎﺣ ﻞﻛ ﻲﻓ b
a= 12-y b= -y+14
a = -x+30+y b = y+19-x
... ...
... ...
... ...
U
ﻢﻗﺭ ﻦﻳﺮﻤﺗ 03
ﻦﻴﺗﺭﺎﺒﻌﻟﺍ ﺮﺒﺘﻌﻨﻟ ( 1
A=x-11ﻭ B=-y+5
ﻦﻴﺑ ﻥﺭﺎﻗ ﻭ A
ﻥﺃ ﺎﻤﻠﻋ B x-y =-15
...
...
...
ﺓﺭﺎﺒﻌﻟﺍ ﺮﺒﺘﻌﻨﻟ ( 2 E=-[15-(x-7+y)]-(-4+y+9)
ﻥﺃ ﺖﺒﺛﺃ - ﺃ E=x-27
...
...
...
ﺐﺴﺣﺃ -ﺃ ﻥﺃ ﺎﻤﻠﻋ E
x = -5 ﻭ
y = -11
...
...
ﺭﻮﻨﻟﺍ ﻱﺩﺍﻭ ﺔﻳﺩﺍﺪﻋﻹﺍ ﺔﺳﺭﺪﻤﻟﺍ 22 / 10 / 2018
ﺩﺪﻋ ﺔﺒﻗﺍﺮﻣ ﺽﺮﻓ ﺕﺎﻴﺿﺎﻳﺮﻟﺍ ﻲﻓ02
ﺓﺪﻤﻟﺍ ﻕﺩ 45
ﻯﻮﺘﺴﻤﻟﺍ ﻲﺳﺎﺳﺃ 8
A
M N
B C
U
ﻢﻗﺭ ﻦﻳﺮﻤﺗ 04
I ﻦﻜﻴﻟ- (O;I;J) ﻱﻮﺘﺴﻤﻟﺍ ﻲﻓ ﺍﺪﻣﺎﻌﺘﻣ ﺎﻨﻴﻌﻣ
ﻞﻤﻛﺃ (1 A( ; )
I( ; )
B( ; )
ﻁﺎﻘﻨﻟﺍ ﻦﻴﻋ (2 D(2;-3)
ﻭ C(-2;-3)
ﻥﺃ ﺖﺒﺛﺃ -ﺃ (3 ﻭ A
ﻰﻟﺇ ﺔﺒﺴﻨﻟﺎﺑ ﻥﺎﺗﺮﻅﺎﻨﺘﻣ ﺎﻤﻫ D (OI)
...
...
...
ﺚﻠﺜﻤﻟﺍ ﺔﻌﻴﺒﻁ ﻲﻫﺎﻣ -ﺏ ﻚﺑﺍﻮﺟ ﻼﻠﻌﻣ OAD
...
...
...
...
...
ﻥﺃ ﺖﺒﺛﺃ (4 ﻭ A
ﻰﻟﺇ ﺔﺒﺴﻨﻟﺎﺑ ﻥﺎﺗﺮﻅﺎﻨﺘﻣ ﺎﻤﻫ C O
...
...
ﺚﻴﺣ ﻲﻟﺎﺘﻟﺍ ﻢﺳﺮﻟﺍ ﺮﺒﺘﻌﻨﻟ -II (xx') // (yy')
1 ﺲﻴﻗ ﺐﺴﺣﺃ ( xAC
...
...
...
2 ﺲﻴﻗ ﺐﺴﺣﺃ ( BDC
...
...
...
3 ﺲﻴﻗ ﺐﺴﺣﺃ ( OAB
...
...
... ...
x x
y y
C D
O A B A
X
B I
J
O
