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Đề, đáp án HSG Bình Xuyên_VP

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ĐÊ ̀ THI HSG HUYÊ ̣ N BI ̀ NH XUYÊN – VI ̃ NH PHU ́ C_NĂM HO ̣ C 2008-2009 Ba ̀ i 1                     !        − − = − − + Ba ̀ i 2"#  $       % &  '() *+(!*  ,*  (*,(,- Ba ̀ i 3.  &/#  '   0 *  * * *   * − + + + + = + − Ba ̀ i 4    123  4/  5    ' % 67   · 63 = α  89:  !. % ;<=$  =/ % =   % $ '      1627  63. % >.7  ?=$  =/ % =   % $'      162267  1632)   1;  3< % @     !>.AA17   >. 1 >? 23 = !@<138 !B?>. B;@< Ba ̀ i 5  C/    4)  ') %                    + + ≥ + + + HƯƠ ́ NG DÂ ̃ N GIA ̉ I Ba ̀ i 1                     !        − − = − − + .   "  ⇔ !  ⇔    , "     0 0 0 0                             !   !      !   !      !  !          !   !   !  !  !  !  !  !   !   !    !   !          !    − − − − − + − − − − = = = = − − − − − − + − + + − − + − + − − − − − − = = = = − + + − + − + + + +  Ba ̀ i 2"#  $       % &  '() *+(!*  ,*  (*,(,- ! .   "   !⇔( *  !*  *,-⇔      * * - * * * - * - ( * *  *  *  + − + + − − = = = + + + + D#  (∈E)*,-*  ⇔ *,-! *-!*  ⇔*  ,-*  ⇔*  ,F*   ⇔F*   D#  *∈E7  *  G)F*   ⇔         *  *   *  *  *  *  : *  * - * - *  F * - * - =    + = =     = = −  + = ⇔ = ⇔ ⇔     = =     + = =    = −  "(7  &/#   D/  *     ! D/  *,⇒(, D/  *-⇒(- D/  *,-     ! D$ % ( *+(!∈H ,+,!+ -+-!I Ba ̀ i 3.  &/#  '   0 *  * * *   * − + + + + = + − .  4)  ') % *G   0        *  * * *   *  *  * ! * ! * ! * ! * !   *  ! * ! * ! *  !  *  ! * ! * ! !  *    *   *  *  *  * * * !  * * *    − + + + + = + − ⇔ − + + + − + − + − = ⇔ − − − + + − − = ⇔ − − + + − =  − − = − = =   ⇔ ⇔ ⇔ ⇔ =    = + + =   + + + − =   D$ % (&/#  4     % ) % C'($  =  * Ba ̀ i 4    123  4/  5    ' % 67   · 63 = α  89:  !. % ;<=$  =/ % =   % $ '      1627  63. % >.7  ?=$  =/ % =   % $'      162267  1632)   1;  3< % @     !>.AA17   >. 1 >? 23 = !@<18 !B?>. B;@< .   !B2JK 2> 2.  2J 2K  = = ⇒>.AA1 4 % =#  "=54  ! "  >.AAJK⇒ >. >.  >.   JK  1  1  = = ⇒ = "/ % 7/    1LM >?  23  = '( >. >? >. 1 1 23 >? 23 = ⇒ = !"   · · 1@3 63= = α     %    % /  7'  ! . % N=  4)  '  @<7  1"   · · @< 1@3= = α  =5! "@<@NN<1N8N8 1NN!818 !/%&$!@;238 "  4  '( @< 1 @; 23 =  %   5&$  ! >. 1 >? 23 = '( @< >. @; >? = N %    · · .>? 63= 8 %%&%/! 34   · · ;@< .>?= = α D$%(B?.> B;@< ! Ba ̀ i 5  C/    4)  ') %                    + + ≥ + + + .   "                    = − ≥ − = − + +  1  &C' % $  4    *  (  G*(! "/ %               = − ≥ − + + 7                = − ≥ − + + 34              !        + + + + ≥ + + − + + + J %    !  G !⇔G⇔, !G, D$ % (                  + + ≥ − = + + + 3$  'OP*  (⇔ α α α α N @ ? > . < ; M K J L 6 1 3 2  . ĐÊ ̀ THI HSG HUYÊ ̣ N BI ̀ NH XUYÊN – VI ̃ NH PHU ́ C_NĂM HO ̣ C 2008-2009 Ba ̀ i 1

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