20 03- 2018-
1
ﺶﻄﻨﻗ ﺔﻳواﺰﺑ ﺔﻳداﺪﻋﻻا ﺔﺳرﺪﻤﻟا دﺪﻋ ﻲﻔﻴﻟﺄﺗ ضﺮﻓ
01 تﺎﻴﺿﺎﻳﺮﻟا ﻲﻓ : ىﻮﺘﺴﻤﻟا
7 ﻲﺳﺎﺳأ
... ﻢﺴﻘﻟا ... ﺐﻘﻠﻟا ... ﻢﺳﻻا
دﺪﻋ ﻦﻳﺮﻤﺘﻟا 01
) : 5 ( ن
I.
) ﺔﻣﻼﻋ ﻊﺿ : ﺔﺤﻴﺤﺼﻟا ﺔﺑﺎﺟﻻا مﺎﻣأ (×
ﻢﻴﻘﺘﺴﳌا ﻒﺼﻧ ﺮﻇﺎﻨﻣ ﻢﻴﻘﺘﺴﻤﻠﻟ ﺔﺒﺴﻨﻟﺎﺑ [AB)
(𝐴𝐴C) : ﻢﻴﻘﺘﺴﳌا ﻒﺼﻧ ﻮﻫ
[𝐵𝐵C)
[𝐴𝐴D) [𝐷𝐷C)
ﻢﻴﻘﺘﺴﳌا (AC) : ﺚﻠﺜﻤﻠﻟ ﺮﻇﺎﻨﺗ رﻮﳏ ﻮﻫ
ABD ABC
ADC
ﻢﻴﻘﺘﺴﳌا ﺮﻇﺎﻨﻣ (𝐵𝐵D)
ﻢﻴﻘﺘﺴﻤﻠﻟ ﺔﺒﺴﻨﻟﺎﺑ ﺔﺒﺴﻨﻟﺎﺑ
(𝐴𝐴C) : ﻢﻴﻘﺘﺴﳌا ﻮﻫ
(𝐴𝐴C) (𝐵𝐵D)
(𝐴𝐴D)
II . : ﺄﻄﺧ وأ باﻮﺼﺑ ﺐﺟأ ﻰﻠﻋ ﺔﻤﺴﻘﻟا ﻞﺒﻘﻳ ﻲﻌﻴﺒﻃ ﺢﻴﺤﺻ دﺪﻋ ﻞﻛ 4
و 6 ﻰﻠﻋ ﺔﻤﺴﻘﻟا ﻞﺒﻘﻳ 24
دﺪﻌﻟا 3371691 ﱄوأ
دﺪﻋ ﻦﻳﺮﻤﺘﻟا 02
) : 10 ( ن
I.
دﺪﻌﻟا ﱪﺘﻌﻧ 4
* 17
1 ( ﻰﻠﻋ ﺔﻤﺴﻘﻟا ﻞﺒﻘﻳ دﺪﻋ ﻰﻠﻋ ﻞﺼﺤﺘﺘﻟ ﺐﺳﺎﻨﳌا ﻢﻗﺮﻟﺎﺑ " * " ﺰﻣﺮﻟا ضﻮﻋ 9
. ﻚﺘﺑﺎﺟا ﻞﻠﻋ .
...
...
2 ( دﺪﻌﻟا نأ ﲔﺑ 1764
ﻰﻠﻋ ﺔﻤﺴﻘﻟا ﻞﺒﻘﻳ 4
.
...
3 ( دﺪﻌﻟا ﺔﻤﺴﻗ ﻲﻗﺎﺑ ﻮﻫﺎﻣ 1764
ﻰﻠﻋ 25 . ﻚﺑاﻮﺟ ﻞﻠﻋ ؟
...
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20 03- 2018-
2
4 ( دﺪﻌﻟا ﻚﻜﻓ 1764
ﺐﺴﺣأ و ﻞﻣﺎﻛ ﻊﺑﺮﻣ ﻪﻧأ ﺞﺘﻨﺘﺳا ﰒ ﺔﻴﻟوأ ﻞﻣاﻮﻋ ءاﺬﺟ ﱃا
√1764 .
1764 ...
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II . دﺪﻌﻟا ﻚﻜﻓ 1029
. ﺔﻴﻟوا ﻞﻣاﻮﻋ ءاﺬﺟ ﱃا
1029
1 ( ﺔﻋﻮﻤﻟا ﺪﺟوأ 𝐷𝐷1029
.
...
...
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D
R1029R ={……….}2 ( )أ.م.ق ﺐﺴﺣأ 1029
, 1764 (
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3 ( ﺔﻋﻮﻤﻟا ﺞﺘﻨﺘﺳا 𝐷𝐷1029 ∩D1764
.
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20 03- 2018-
3
) ﺔﺳﺪﻨﻬﻟا 5
: ( ن
ﺚﻴﺣ ﱄاﻮﳌا ﻢﺳﺮﻟا ﱪﺘﻌﻧ 𝐵𝐵𝐵𝐵 = 6
و BAC� = 80° و
𝐴𝐴𝐵𝐵𝐵𝐵
� = 60° ﻲﻋﺎﺑﺮﻟا و
EACB فﺮﺤﻨﻣ ﻪﺒﺷ
ﰲ ﻢﺋﺎﻗ E
و B .
1 ( ﻦﺑا -أ ﺔﻌﻄﻘﻠﻟ يدﻮﻤﻌﻟا ﻂﺳﻮﳌا Δ
[𝐴𝐴𝐵𝐵]
.
ﻦﺑا -ب 𝐷𝐷 ةﺮﻇﺎﻨﻣ B ﻢﻴﻘﺘﺴﳌا ﱃا ﺔﺒﺴﻨﻟﺎﺑ . Δ
ﺐﺴﺣأ-ج
𝐴𝐴𝐵𝐵𝐵𝐵� د . ﻚﺑاﻮﺟ ﻼﻠﻌﻣ –
ﺪﻌﺒﻟا ﺪﺟوأ AD
. ﻚﺑاﻮﺟ ﻼﻠﻌﻣ
... ...
... ...
... ...
نأ ﲔﺑ -ه 𝐴𝐴𝐷𝐷𝐵𝐵� = 40°
.
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2 ( ﻦﺑا -أ F ُ ةﺮﻇﺎﻨﻣ E ﱃا ﺔﺒﺴﻨﻟﺎﺑ . Δ
نأ ﲔﺑ -ب (𝐵𝐵𝐶𝐶) ⊥(𝐷𝐷𝐶𝐶)
.
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