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ĐỀ THI HSG HUYỆN BÌNH XUYÊN - VĨNH PHÚC - NĂM HỌC 2008-2009

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Đ THI HSG HUYN BNH XUYÊN - VNH PHC - NĂM HC 2008-2009
Bi 1
   
   
      

− =
− − +
Bi 2!"#$%&'()*+( *

,*

(*,(,-
Bi 3.$&/0"'
  1
*  * * *   * − + + + + = + −
Bi 423456/789':;<=
·
;4 = α
>?@

.ABCDED/FD=G
HI2;3<=;4.AJ.<=KDED/FD=AHI2;33;<=2;4
3L2B94C:M
 J.NN2<=
J. 2
JK 34
=
 MC2>
 OKJ. OBMC
Bi 5P/06Q'R


  
   
      
+ + ≥
+ + +
HƯ%NG D'N GI(I
Bi 1
   
   
      

− =
− − +
.$
!S⇔

⇔



T
!5
  1 1 1 1
           
 
         
             
                 
                  
                  

− − − − − + − − −
− = = = =
− − − − − − + − + +
− − + − + − − − − − −
= = = =
− + + − + − + + + +

Bi 2!"#$%&'()*+( *

T*

(*T(T-
.$
!5 ⇔(*

 *

*T-⇔
 
  
* * - * * * - * -
( *
*  *  * 
+ − + + − −
= = = +
+ + +
U"(∈V)*T-*

⇔*T- *- *


⇔*

T-*

⇔*

TW*


⇔W*


U"*∈V<=*

X)W*


⇔
 

 

 
* 
*   * 
*  * 
*  @ * 
* -
* -
*  W * -

* -
=

 
+ = =


 
= = −

+ = ⇔ = ⇔ ⇔

 

=
=


 
+ = =

 
= −

!(<=&/0"
UY*Z
UY*T⇒(T
UY*-⇒(-
UY*T-Z
U[(*+( ∈\T+T +-+- ]

Bi 3.$&/0"'
  1
*  * * *   * − + + + + = + −
.$6Q'R*X
  1
 



 
*  * * *   * 
*  *  *  *  *  *   
 *   *  *   *   
 *    *  *   
*    *  
* 
* 
* 
** *  
* * *   
− + + + + = + −
⇔ − + + + − + − + − =
⇔ − − − + + − − =
⇔ − − + + − =

− − = − =
=


⇔ ⇔ ⇔ ⇔ =




=
+ + =


+ + + − =


U[(&/0"65^RP'(#D=*
Bi 423456/789':;<=
·
;4 = α
>?@

.ABCDED/FD=G
HI2;3<=;4.AJ.<=KDED/FD=AHI2;33;<=2;4
3L2B94C:M
 J.NN2<=
J. 2
JK 34
=
 MC2>
 OKJ. OBMC
.$
 O3_`5
3J 3. 
3_ 3` 
= =

⇒J.NN26aDb!Dc6$
!SJ.NN_`⇒
J. J.  J. 

_`  2 
2

= = ⇒ =
!/0G<Y2de
JK 
34 
=
'(
J. JK J. 2
2 34 JK 34
= ⇒ =
 !5
·
·
2M4 ;4= = α
5A5:/0<'Z5
.AfD=6gIMC<=2!5
·
·
MC 2M4= = α
Dc
!5MCMffC2f>f>2ff >2>
 /0G&E 5MB34>
!S65'(
MC 2

MB 34
=
%c&E 
J. 2
JK 34
=
'(
MC J.
MB JK
=
f:5
·
·
.JK ;4=
>5A5%&:/0
465
·
·
BMC .JK= = α
U[(OK.J OBMC
Bi 5P/06Q'R
  
   
      
+ + ≥
+ + +
.$ !5
 
 
   

  
     
= − ≥ − = −
+ +
h&Pi#6j*

(

X*(
!/0G

 
  
 
    
= − ≥ −
+ +
<=

 
  
 
    
= − ≥ −
+ +
465
  
     
  
      

+ +
+ + ≥ + + −
+ + +
_%

X ⇔X⇔T XT
U[(
  
    

       
+ + ≥ − =
+ + +
4#'kl*$(⇔
α
α
α
α
f
M
K
J
.
C
B
e
`
_
d
;

2
4
3

×