1
- 1. ﺍﻟﺴﻨﺔ ﺍﻟﺪﺭﺍﺳﻴﺔ : 9002 / 0102 ﺍﻻﺧﺘﺒﺎﺭ ﺍﻟﻤﻮﺣﺪ ﺍﻟﻤﺤﻠﻲ ﻟﻤﺎﺩﺓ ﺍﻟﺮﻳﺎﺿﻴﺎﺕ ﺍﻟﺜﺎﻧﻮﻳﺔ ﺍﻹﻋﺪﺍﺩﻳﺔ ﺍﻟﻤﻐﺮﺏ ﺍﻟﻌﺮﺑﻲ
ﻣﺪﺓ ﺍﻹﻧﺠــــــﺎﺯ: ﺳﺎﻋــﺘــــــــﺎﻥ ﻟﻠﺴﻨﺔ ﺍﻟﺜﺎﻟﺜﺔ ﺛﺎﻧﻮﻱ ﺇﻋــﺪﺍﺩﻱ ﺗﺎﻭﺭﻳـــــــــــــــﺮﺕ
ﻻ ﻳﺴﻤﺢ ﺑﺎﺳﺘﻌﻤﺎﻝ ﺍﻵﻟـــﺔ ﺍﻟﺤﺎﺳﺒﺔ
ﻧﻘﻂ( ﺍﻟﺘﻤﺮﻳﻦ ﺍﻷﻭﻝ : )4
1-
3- 7 æ3ö 5
=D + + ÷ ٬ C = 3 2 + 50 - 8 ٬ B = ç )3 ( 2-
٬ =A jﺑﺴﻂ ﻣﺎ ﻳﻠﻲ: 3ﻥ
7 -3 7 +3 è5ø 2 3
000000005 ´ 40000 , 0 = K kﺃﻛﺘﺐ ﻋﻠﻰ ﺷﻜﻞ ﻛﺘﺎﺑﺔ ﻋﻠﻤﻴﺔ ﺍﻟﻌﺪﺩ: 1ﻥ
)4 ﻧﻘﻂ( ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺜﺎﻧﻲ :
x jﻭ yﻋﺪﺩﺍﻥ ﺣﻘﻴﻘﻴﺎﻥ ﺣﻴﺚ: 5 £ 1 £ xﻭ 2 £ - 3 £ y
2x- y ٬ ﺃ ﺃﻃﺮ ﺍﻷﻋﺪﺍﺩ ﺍﻟﺘﺎﻟﻴﺔ : x + y 2ﻥ
8+y 1ﻥ
£1 ﺏ ﺑﻴﻦ ﺃﻥ: 01 £
x
1
+a a kﻋﺪﺩ ﺣﻘﻴﻘﻲ ﻣﻮﺟﺐ ﻗﻄﻌﺎ. ﺑﻴﻦ ﺃﻥ: 2 ³ 1ﻥ
a
)5 ﻧﻘﻂ( ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺜﺎﻟﺚ :
MNP jﻣﺜﻠﺚ ﻗﺎﺋﻢ ﺍﻟﺰﺍﻭﻳﺔ ﻓﻲ Mﺣﻴﺚ : 6 = MPﻭ 3 = MN
ﺃ ﺑﻴﻦ ﺃﻥ 5 3 = PN 1ﻥ
(
ˆ ˆ )
ﺏ ﺃﺣﺴﺐ: sin MP Nﻭ tan MP N( ) 1ﻥ
ﺝ ﻟﺘﻜﻦ Iﻣﻨﺘﺼﻒ ﺍﻟﻘﻄﻌﺔ ] [MPﻭ Hﻣﺴﻘﻄﻬﺎ ﺍﻟﻌﻤﻮﺩﻱ ﻋﻠﻰ ﺍﻟﻤﺴﺘﻘﻴﻢ ) ٬ (PNﺃﻭﺟﺪ : IHﻭ PH 1ﻥ
ﺩ ﻟﺘﻜﻦ Eﻣﻤﺎﺛﻠﺔ Pﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﻨﻘﻄﺔ ٬ Hﺑﻴﻦ ﺃﻥ ﺍﻟﻤﺜﻠﺜﻴﻦ IHPﻭ IHEﻣﺘﻘﺎﻳﺴﺎﻥ. 1ﻥ
a kﻗﻴﺎﺱ ﺯﺍﻭﻳﺔ ﺣﺎﺩﺓ ﻭ ﻏﻴﺮ ﻣﻨﻌﺪﻣﺔ ﺣﻴﺚ: 5 = ٬ 3 cos aﺍﺣﺴﺐ . tan a 1ﻥ
ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺮﺍﺑﻊ :)4 ﻧﻘﻂ(
A I B ABCDﺷﺒﻪ ﻣﻨﺤﺮﻑ ﻗﺎﻋﺪﺗﺎﻩ ] [ ABﻭ ] [CDﺑﺤﻴﺚ :
6 = ABﻭ 9 = ٬ CDﻭ ﻟﺘﻜﻦ Iﻣﻨﺘﺼﻒ ]) [ ABﺃﻧﻈﺮ ﺍﻟﺸﻜﻞ(
ﺍﻟﻤﺴﺘﻘﻴﻤﺎﻥ ) (ICﻭ ) ( ADﻳﺘﻘﺎﻃﻌﺎﻥ ﻓﻲ ﺍﻟﻨﻘﻄﺔ E
ﻭ ﺍﻟﻤﺴﺘﻘﻴﻤﺎﻥ ) (IDﻭ ) (BCﻳﺘﻘﺎﻃﻌﺎﻥ ﻓﻲ ﺍﻟﻨﻘﻄﺔ F
jﺃﻧﻘﻞ ﺍﻟﺸﻜﻞ ﻭ ﺃﺗﻤﻤﻪ 1ﻥ
1 FI 1 EI
ﻭ ﺃﻥ: = kﺑﻴﻦ ﺃﻥ: = 2ﻥ
D C 3 FD 3 EC
lﺑﻴﻦ ﺃﻥ : ) (EF ) // (DC 1ﻥ
A ﻧﻘﻂ( ﺍﻟﺘﻤﺮﻳﻦ ﺍﻟﺨﺎﻣﺲ :)3
ˆ
Aﻭ Bﻭ Cﻧﻘﻂ ﻣﻦ ﺩﺍﺋﺮﺓ ) (zﻣﺮﻛﺰﻫﺎ Oﺣﻴﺚ: °04 = BAC
°04
jﺃﻧﻘﻞ ﺍﻟﺸﻜﻞ 1ﻥ
O ˆ
kﺃﺣﺴﺐ: BOC 1ﻥ
B
ˆ
lﻟﺘﻜﻦ Mﻧﻘﻄﺔ ﻣﻦ ﺍﻟﻘﻮﺱ ﺍﻟﺼﻐﺮﻯ ٬ BCﺃﺣﺴﺐ: BMC 1ﻥ
C
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