ﺓﺭﻘﺷ ﺓﺩﻧﻫ : ﺓﺫﺎﺗﺳﻷﺍ 2014
2013/ ﻲﺳﺎﺳﺃ ﺔﻧﻣﺎﺛ 3 ﺩﺩﻋ ﺔﺑﻗﺍﺭﻣ ﺽﺭﻓ ﺭﺎﻫﺩﺯﻻﺍ ﻲﺣ ﺔﻳﺩﺍﺩﻋﻹﺍ ﺔﺳﺭﺩﻣﻟﺍ
Uﺩﺩﻋ ﻥﻳﺭﻣﺗ
U1
) 5 ( ﻁﺎﻘﻧ
ﻲﻠﻋ • ﻝﺍﺅﺳ ﻝﻛ ﺎﻫﺭﻛﺫﺍ ﺔﺣﻳﺣﺻ ﺓﺩﺣﺍﻭ ﺔﺑﺎﺟﺍ ﺕﺎﺣﺭﺗﻗﺍ 3
1 (
𝟏𝟏
𝟐𝟐 + 0,5 (ﺃ ﻱﻭﺎﺳﺗ
0,75 (ﺏ 1
( ﺝ 0,3
2 ( |−𝟏𝟏𝟏𝟏| - |− 𝟑𝟑|
(ﺃ ﻱﻭﺎﺳﺗ - 8
(ﺏ 14
(ﺝ 8
3 ﻲﻟﺎﺗﻟﺍ ﻝﻛﺷﻟﺍ ﻅﺣﻻ (
* ﻭ ABI ﺏﺳﺣ ﻥﺎﺳﻳﺎﻘﺗﻣ AIC
ﺃ
ﺔﻣﺋﺎﻘﻟﺍ ﺕﺎﺛﻠﺛﻣﻟﺍ ﺱﻳ ﺎﻘﺗ ﺕﻻﺎﺣ ﻥﻣ ﻲﻟﻭﻷﺍ ﺔﻟﺎﺣﻟﺍ ( ﺏ
ﺔﻣﺎﻌﻟﺍ ﺕﺎﺛﻠﺛﻣﻟﺍ ﺱﻳﺎﻘﺗ ﺕﻻﺎﺣ ﻥﻣ ﻲﻟﻭﻷﺍ ﺔﻟﺎﺣﻟﺍ ( ﺔﻣﺋﺎﻘﻟﺍ ﺕﺎﺛﻠﺛﻣﻟﺍ ﺱﻳﺎﻘﺗ ﺕﻻﺎﺣ ﻥﻣ ﺔﻳﻧﺎﺛﻟﺍ ﺔﻟﺎﺣﻟﺍ (ﺝ
* ﺙﻠﺛﻣ ABC
ﻥﻳﻌﻠﺿﻟﺍ ﺱﻳﺎﻘﺗﻣ (ﺝ ﺔﻳﻭﺍﺯﻟﺍ ﻡﺋﺎﻗ (ﺏ ﻉﻼﺿﻷﺍ ﺱﻳﺎﻘﺗﻣ (ﺃ :
4 (ﺃ (
−𝟐𝟐𝟏𝟏
𝟑𝟑𝟑𝟑 < - 𝟑𝟑 (ﺏ 𝟏𝟏𝟏𝟏
−𝟑𝟑 𝟏𝟏𝟏𝟏 >𝟐𝟐𝟏𝟏𝟑𝟑𝟑𝟑 (ﺝ
− 𝟐𝟐𝟏𝟏 𝟑𝟑𝟑𝟑 = − 𝟑𝟑
𝟏𝟏𝟏𝟏
U ﺩﺩﻋ ﻥﻳﺭﻣﺗ 2
U )
7 ( ﻁﺎﻘﻧ
ﻝﺯﺗﺧﺍ ﻭ ﺏﺳﺣﺍ ( 1 A = 𝟓𝟓 - 0,1
B = − 𝟑𝟑
𝟐𝟐 - (− 𝟏𝟏,𝟒𝟒) C = �− 𝟑𝟑𝟒𝟒 � + �− 𝟏𝟏𝟕𝟕 � - 0,75 + 𝟒𝟒
𝟐𝟐𝟐𝟐 D = �𝟑𝟑𝟐𝟐− 𝟓𝟓𝟑𝟑� - �𝟎𝟎,𝟕𝟕 − �−𝟑𝟑𝟓𝟓��
ﺓﺭﺎﺑﻌﻟﺍ ﺏﺳﺣﺍ ﻡﺛ ﺕﺎﻓﻭﻘﻌﻣﻟﺍ ﻭ ﺱﺍﻭﻗﻷﺍ ﻑﺫﺣﺍ ( 2 E
E = - ( 𝟐𝟐𝟓𝟓 - 0 , 2 ) - �− 𝟏𝟏+ ( 𝟒𝟒𝟑𝟑− 𝟑𝟑𝟒𝟒�
U ﺩﺩﻋ ﻥﻳﺭﻣﺗ 3
U )
8 ( ﻁﺎﻘﻧ
ﺎﺛﻠﺛﻣ ﻡﺳﺭﺍ ﺙﻳﺣ ﻥﻳﻌﻠﺿﻟﺍ ﺱﻳﺎﻘﺗﻣ ABC
AB = AC = 5 cm ﻭ
ﺎﻫﺯﻛﺭﻣ ﺓﺭﺋﺍﺩ 𝓒 ﺎﻬﻋﺎﻌﺷ ﻭ A
ﻡﺻ 2
𝓒 ] ﻊﻁﻘﺗ ﻲﻓ [ AB
E ] ﻭ ﻲﻓ [ AC
H
1 ﺙﻠﺛﻣﻟﺍ ﻥﺍ ﻥﻳﺑ ( ﺙﻠﺛﻣﻠﻟ ﺱﻳﺎﻘﻣ AEC
AHB
2 ﻥﺍ ﺞﺗﻧﺗﺳﺍ ( EC = HB
ﻭ ABH = AĈE
3 ﻲﻠﻋ ﻱﺩﻭﻣﻌﻟﺍ ﻡﻳﻘﺗﺳﻣﻟﺍ( ( BC )
ﻥﻣ ﺭﺎﻣﻟﺍ ﻭ E
] ﻊﻁﻘﻳ ﻲﻓ [ BC
ﻲﻠﻋ ﻱﺩﻭﻣﻌﻟﺍ ﻡﻳﻘﺗﺳﻣﻟﺍ ﻭ F ( BC)
ﻥﻣ ﺭﺎﻣﻟﺍ ﻭ H
] ﻊﻁﻘﻳ ﻲﻓ [BC
K ﺙﻠﺛﻣﻟﺍ ﻥﺍ ﻥﻳﺑ ﻭ EFC
ﻥﺎﺳﻳﺎﻘﺗﻣ KHB
ﺞﺗﻧﺗﺳﺍ BK = CF ﻡﺛ
CK = BF A
B
C I
