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1/2
ﻲﻤﻠﺴﻟﺍءﺍﺬﺠﻟﺍﺔﻴﻠﻴﻠﺤﺗ
1ﻦﻳﺮﻤﺗ
ﻯﻮﺘﺴﻤﻟﺍ
( )
R ﻡﻰﻟﺇﺏﻮﺴﻨﻣ.ﻡ.ﻡ
(
)
jiO  ,,
ﻂﻘﻨﻟﺍﺮﺒﺘﻌﻧ:
( )
1,1 - A ﻭ
( )
3,1 - B ﻭ
( )
4,4 - C ﻭ
( )
1,1 D ﻭ
( )
2,4 - - E
1ﺐﺴﺣﺃ: ADAB .ﻭ DEBC .٬؟ﺞﺘﻨﺘﺴﺗﺍﺫﺎﻣ
2ﻥﺃﻦﻴﺑ:
( ) ( )
CDBE ^
3ﻥﺃﻦﻴﺑ:
( ) ( )
BCAM ^ ﺚﻴﺣ
M
ﻒﺼﺘﻨﻣ
[ ]
DE
2ﻦﻳﺮﻤﺗ
ﻯﻮﺘﺴﻤﻟﺍ
( )
R ﻡﻰﻟﺇﺏﻮﺴﻨﻣ.ﻡ.ﻡ
(
)
jiO  ,,
ﻂﻘﻨﻟﺍﺮﺒﺘﻌﻧ:
( )
1;1 A ﻭ
( )
3;1 B ﻭ
( )
1;1 - C  ﻭ
(
)
31;0 + D
1ﻥﺃﻦﻴﺑ ABC ﻲﻓﺔﻳﻭﺍﺰﻟﺍﻢﺋﺎﻗﺚﻠﺜﻣ A
2ﺃﺐﺴﺣﺃ: CA ﻭ CB ﻭ CD
ﺏﺐﺴﺣﺃ: CBCA .ﻭ CDCA .
ﺝﺐﺴﺣﺃ:
(
)
CBCA ,cosﻭ
(
)
CBCA ,sinﻭ
(
)
CDCA ,cosﻭ
(
)
CDCA ,sin
ﺩﺞﺘﻨﺘﺳﺍﺳﺎﻴﻗﻲﻦﻴﺘﻳﻭﺍﺰﻟﺍ:
(
)
CBCA ,ﻭ
(
)
CDCA ,
3ﻥﺃﻖﻘﺤﺗ:
( )
12
, p
=
CDCB
4ﺏﺎﺴﺣﺞﺘﻨﺘﺳﺍ:
12
p
Cos ﻭ
12
p
Sin
3ﻦﻳﺮﻤﺗ
ﻯﻮﺘﺴﻤﻟﺍ
( )
R ﻡﻰﻟﺇﺏﻮﺴﻨﻣ.ﻡ.ﻡ
(
)
jiO  ,,
ﻂﻘﻨﻟﺍﺮﺒﺘﻌﻧ:
( )
2,2 A ﻭ
( )
1,1 - B  ﻭ
( )
1,0 - C 
1ﻂﻘﻨﻟﺍﺊﺸﻧﺃ A ﻭ B ﻭ C
2
ﺃﻢﻴﻘﺘﺴﻤﻟﺍﺔﻟﺩﺎﻌﻣﺪﺟﻭﺃ
( )
D ﻦﻣﺭﺎﻤﻟﺍ B ﻰﻠﻋﻱﺩﻮﻤﻌﻟﺍﻭ
( )
AC .
ﺏﻢﻴﻘﺘﺴﻤﻠﻟﺔﻴﺗﺭﺎﻜﻳﺩﺔﻟﺩﺎﻌﻣﺩﺪﺣ
( )
AC
ﺝﻲﺘﻴﺛﺍﺪﺣﺇﺝﻭﺯﺩﺪﺣ H ﻊﻃﺎﻘﺗﺔﻄﻘﻧ
( )
D ﻭ
( )
AC
3ﺐﺴﺣﺍ
(
)
CBCA .cos
4ﻢﻴﻘﺘﺴﻤﻠﻟﺔﻴﺗﺭﺎﻜﻳﺩﺔﻟﺩﺎﻌﻣﺩﺪﺣ
( )
L ﺔﻌﻄﻘﻟﺍﻂﺳﺍﻭ
[ ]
AB

2/2
4ﻦﻳﺮﻤﺗ
ﻯﻮﺘﺴﻤﻟﺍ
( )
R ﻡﻰﻟﺇﺏﻮﺴﻨﻣ.ﻡ.ﻡ
(
)
jiO  ,,
ﻂﻘﻨﻟﺍﺮﺒﺘﻌﻧ:
(
)
32,1 A
ﻭ
(
)
3,0 B
ﻭ
( )
0,1 C 
1ﻥﺃﻦﻴﺑ
ABC
ﺔﻄﻘﻨﻟﺍﻲﻓﻦﻴﻗﺎﺴﻟﺍﻱﻭﺎﺴﺘﻣ
B
2ﺐﺴﺣﺃ:
(
)
BCBACos  ,ﻭ
(
)
BCBA ,tan
3ﺔﻄﻘﻨﻟﺍﻦﻣﺄﺸﻨﻤﻟﺍﻉﺎﻔﺗﺭﻼﻟﺔﻴﺗﺭﺎﻜﻳﺩﺔﻟﺩﺎﻌﻣﺩﺪﺣ B ﺚﻠﺜﻤﻠﻟ ABC
4ﺔﻄﻘﻨﻟﺍﻦﻣﺭﺎﻤﻟﺍﻂﺳﻮﺘﻤﻠﻟﺔﻴﺗﺭﺎﻜﻳﺩﺔﻟﺩﺎﻌﻣﺩﺪﺣ C ﺚﻠﺜﻤﻠﻟ ABC
5ﻲﺘﻴﺛﺍﺪﺣﺇﺩﺪﺣ G ﺚﻠﺜﻤﻟﺍﻞﻘﺛﺰﻛﺮﻣ ABC
6ﺚﻠﺜﻤﻟﺍﺔﺣﺎﺴﻣﺐﺴﺣﺍ ABC
7ﺃﻢﻴﻘﺘﺴﻤﻠﻟﺔﻴﺗﺭﺎﻜﻳﺩﺔﻟﺩﺎﻌﻣﺩﺪﺣ
( )
BC
ﺏﺔﻓﺎﺴﻣﺐﺴﺣﺃ A ﻦﻋﻢﻴﻘﺘﺴﻤﻟﺍ
( )
BC
5ﻦﻳﺮﻤﺗ
ﻯﻮﺘﺴﻤﻟﺍ
( )
R ﻡﻰﻟﺇﺏﻮﺴﻨﻣ.ﻡ.ﻡ
(
)
jiO  ,,
ﻟﺍﺮﺒﺘﻌﻧﻢﻴﻘﺘﺴﻤ:
( )
D ﻦﻣﺭﺎﻤﻟﺍ
( )
0;1 - A ﺚﻴﺣ
( )
4;2 u ﻢﻴﻘﺘﺴﻤﻟﺍﺮﺒﺘﻌﻧﻭﻪﻴﻠﻋﺔﻴﻤﻈﻨﻣ
( )
42: + = D  yx
1ـﻟﺔﻴﺗﺭﺎﻜﻳﺩﺔﻟﺩﺎﻌﻣﺩﺪﺣ
( )
D
2ﻥﺃﻦﻴﺑ
( ) ( )
D ^ D
3ﺔﻄﻘﻨﻟﺍﺔﻓﺎﺴﻣﺩﺪﺣ
A
ﻦﻋ
( )
D
4ﻲﺘﻴﺛﺍﺪﺣﺇﺪﺟﻭﺃ
H
ﺔﻄﻘﻨﻠﻟﻱﺩﻮﻤﻌﻟﺍﻂﻘﺴﻤﻟﺍ
A
ﻰﻠﻋ
( )
D
5ﺔﻄﻘﻨﻟﺍﺔﻓﺎﺴﻣﻯﺮﺧﺃﺔﻘﻳﺮﻄﺑﺐﺴﺣﺃ
A
ﻦﻋ
( )
D
6ﻦﻳﺮﻤﺗ
ﻯﻮﺘﺴﻤﻟﺍ
( )
R ﻡﻰﻟﺇﺏﻮﺴﻨﻣ.ﻡ.ﻡ
(
)
jiO  ,,
ﻂﻘﻨﻟﺍﺮﺒﺘﻌﻧ:
( )
2;1 - A
ﻭ
( )
0,2 B
ﻭ
( )
4,1 - - C
wﻲﺘﻴﺛﺍﺪﺣﺇﺪﺟﻭﺃ
H
ﺚﻠﺜﻤﻟﺍﺪﻣﺎﻌﺗﺰﻛﺮﻣ ABC