Rmathtronc
February 26, 2018 | Author: Youssef NEJJARI | Category: N/A
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ﺑﺴﻢ ﺍﷲ ﺍﻟﺮﺣﻤﻦ ﺍﻟﺮﺣﻴﻢ ﻭﺍﻟﺼﻼﺓ ﻭﺍﻟﺴﻼﻡ ﻋﻠﻰ ﺃﺷﺮﻑ ﺍﻟﻤﺨﻠﻮﻗﻴﻦ ﻣﺤﻤﺪ ﺳﻴﺪ ﺍﻟﻤﺮﺳﻠﻴﻦ ﻭﻋﻠﻰ ﺁﻟﻪ ﻭﺻﺤﺒﻪ ﺃﺟﻤﻌﻴﻦ ﺃﻣﺎ ﺑﻌﺪ ٬ ﻳﺴﺮﻧﻲ ﺃﻥ ﺃﻗﺪﻡ ﻟﻜﻢ ﻫﺬﺍ ﺍﻟﻌﻤﻞ ﺍﻟﻤﺘﻮﺍﺿﻊ ﻭﻫﻮ ﻋﺒﺎﺭﺓ ﻋﻠﻰ ﻣﻠﺨﺼﺎﺕ ﻣﻊ ﺗﻘﻨﻴﺎﺕ ﺍﻟﺮﻳﺎﺿﻴﺎﺕ ﻟﻤﺴﺘﻮﻯ ﺍ ﻟﺠﺬﻉ ﺍﻟﻤﺸﺘﺮﻙ ﻋﻠ ﻤ ﻲ ﻣﺠﻤﻌﺔ ﻓﻲ ﻛﺘﺎﺏ ﻭﺍﺣﺪ ﻭﻫﻲ ﻟﻸﺳﺘﺎﺫ ﺣﻤﻴﺪ ﺑﻮﻋﻴﻮﻥ sefroumaths.site.voila.fr
ﺗﺠﻤﻴﻊ ﻭﺗﺮﺗﻴﺐ ALMOHANNAD
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0 2 3 (4 $." (3 3=@ئ ا+ اA ( ABC ) . + ; R
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( اI f
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f ( x) =
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D f = R − { ( - ./ } , Q( x) = 0 f ( x ) = P ( x ) : (3
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D f = P ( x) ≥ 0 ( 23& 456 7) , P( x)
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f ( x) = ax + b ! (4
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. − I = [ −b, − a ] A& I = [ a, b ] ! "# (c
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ﺏ h ( A ) = A ' +و ' h ( B ) = Bو ' h ( I ) = Iو " ?* ا0a
. (5bی [ AB ] C> Iإذن ' . [ A ' B '] C> I
. O ' = t u (O ) P
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M
(Bا ( ا''&ة
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$0 (9رة ا اOة ) C (O , rﺏfزا t uه ا اOة ) . C '(O ', r
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$0 (9رة ا اOة ) C (O , rﺏ? *Vا?$ري ) ∆ ( Sه ا اOة ) . C '(O ', r
. O ' = S ( ∆ ) (O ) P
ﺡ/ S ( ∆ ) ( M ) = M ' (aﺕ ( ∆) 76واﺱ( ا ]' . [ MM
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u .v = − u . v u .v = 0 S8+Q u ⊥ v (f u .v = v .u (∗ (g u .(v + w) = u .v + u .w (∗ u .(v − w) = u .v − u .w (∗ (α u ).v = u .( α v ) = α (u .v ) (∗ (u + v ) 2 = u 2 + v 2 + 2u .v (∗ (u − v ) 2 = u 2 + v 2 − 2u .v (∗ (u + v ).(u − v ) = u 2 − v 2 (∗
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I
B A
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