Tajribi Math SX (82)
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8/14/2019 Tajribi Math SX (82)
1/2
2006
12
(: )
..
:A""B""C""D"."
): (
) ; ; ; )O i j k r r r
:(1; 1;0)A ) 1;0;1)B ;(0;2 1)C .
]1 AB AC uuur uuur
.
)CBA- )P.)(0;1;0)J]2 ) : 4 3 5 3 0Q x y z + =.
) )P( )Q.
)-]3 )S[ ]BJ. )- )Q( )S( )C.
): (
:(3]1 )i+.1]2 1z i= 2 2 2z i= :
(1 3 ) 4 0 z i z+ + =.
]3 0
2z i= :3( ) : (1 ) (2 2 ) 8 0 E z i z i z i+ + + + =.
) )E.):0]4 )A z1( )B z2( )C z.
2- 10 1
z zZ
z z
=
.
.ABC-
0,51
0,51
0,50,50,250,250,5
1
0,250,5
0,25
0,5
0,5
1
www.arabmaths.site.voila.fr
Prof : Mustapha Fatih www.universfatih.com
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8/14/2019 Tajribi Math SX (82)
2/2
2006
22
): (:
:+;] [0g
1 1( ) 2ln
1
xg x
x x
+ = +
.
:lim]1 ( )x
g x+
00
lim ( )x
xg x
.
:]22
0 '( )( 1)
x x g x
x x
+ =
+.
.g:0]3 ( ) 0 x g x .
::f
1
( ) ; 0
(0) 0
1( ) ln ; 0
x f x xe x
f
x f x x x
x
=
= + =
.
) )fC( ; ; )O i jr r
.
.0f]1
:lim]2 ( )x
f x+
(1
tx
lim)= ( )x
f x
.
:]300
( )lim
xx
f x
x
00
( )lim
xx
f x
x
.
:-]4
11
0 '( )
0 '( ) ( )
xx
x f x ex
x f x xg x
=
=
.
.f-)]5 ) : 1y x = +( )
fC.
)]6 )fC) .1
( ) :2
D y x= ( )fC+. (
:
)1 )n nu :1 1u = 1
11 n
u
n nn u u e+ =.
:1]1 1 0nn u .
.( )nu]2lim]3 nu.
0,50,5
0,5
0,5
11
1
1
10,5
1
0,50,50,51
Prof : Mustapha Fatih www.universfatih.com
