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7/24/2019 1bacsm Math Fard Mahros2 Xm1 s1
1/8
2013230
: :
):):):):6666((((
( )3,5A( )6,2B( )0,2C ( ), ,O i j
.
[ ]BC( ) ABC.
(1A B C = = .( )1pt
(2 ( ).( )1pt
(3 ( ) .( )1pt
(4( )D :2 2 6 4 2 0x y + + =.
( ( )D.( )1pt
(
H ( )D H ( )H .( )1pt
)
( )D( ).( )1pt
))))9999((((
( )n u :0 10 ; u 1u = =; ( ) n 2 n 1 n; 9 u 6 ;n IN u u+ + =
( )n v( )n w:n n 1 n3 3v u u+= n n3 .unw =
(12u0 1 0w ,v , v ,1w.( )1pt
(2 ( )nv 3
1.( )1pt
(3 ( :( ) n 11 ; w 3 .vn n nn IN w +
+ =....( )1pt
( ( )nw 3.( )1pt
(4.nvnwnun .( )1,5pt
.
(5 ( :( )* 12
; 03
n nn IN u u
+ < .( )1pt
( ( ):1
* 2 ; 0
3
n
nn IN u
<
.( )1pt
(6
:2 3 2012 20131 0 1 2 2011 2012
3.v 3 .v 3 .v .... 3 .v 3 .vS = + + + + +
2 62
2 1 2 3 633 3 ... 3S u u u u= + + + +0 1 2
0 1 2
... nn
n
u uu uS
w w w w= + + + +( )1,5pt
))))5555((((ABCD 1OM .( )AB
A ( )DM( )BCP.
(1( ), ,D DC DA
.( )0,5pt
(2 ,( ) ,D DC DA
x My P
(1 0x y+ =.( )1pt
(AM BP= ( )OM( )OP.( )2pts
(3
I
[ ]MP
I)1 2
,2 2
x x+
.( )0,5pt
(
I M ( )AB .( )1pt
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