Đề_HD Toán ĐH Tỉnh Bắc Ninh

Sở GD&ĐT bắc giang đề thi thử đại học năm học 2010 http://ductam_tp.violet.vn/ Môn : Toán Thời gian làm bài: 180 phút Câu 1:2 điểm ( ) = !" #$%&'()$ = *+(!(, Câu 2:2 điểm -&'()$. / / 0 1 / ữ = -,&'()$. 2 2 x y x y 4 x(x y 1) y(y 1) 2 + + + = + + + + = Câu 3:2 điểm $23()4!(5678"79899*:78;!"#<%<=23()4 789896>((*?!6" @'(!AAB ! ! + + + + "C(. / ! ! + + Câu 4:2 điểm #)(D&E(?,:FG!(786>(H7"8 7 I A 8I J(E(8K6!% L I ữ "#$:FM" 7II/!J(E(@ A@ *&'()$. N / N @ . @ . I + + = = = = O&'()$J(E(@K6!7A6>((*? @ P @ " Câu 5:2 điểm -&'()$. ( ) ( ) ( ) / Q 2( 2( 2( / + + = #<<&R. ( ) S 1 T U @ += VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVHếtVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV Chú ý: Cán bộ coi thi không giải thích gì thêm. WX<. Y@!. §¸p ¸n chÊm thi thö lÇn 2 R6 Z Gi¶i [% R6    W   y x x= − • #\[.] • Y. ^-?:,_.  ( )   2 2  [=>(*,_ x x y x x →±∞ →±∞ = − = −∞ ^56A).  ( ) /  `     1 ` 1  y x x x x x y x = − = − =  = ⇔  = ±  8(.  W()a=( ( ) ( ) I   1I−∞ − W()a=( ( ) ( ) I1  I− +∞ [%: I  CD CD x y= ± = [%%6 1I 1 CT CT x y= = • [. -!%?GAG.G1I1I ( ) I1± O$b_G2)4C( O.  1Ac 1Ac 1Ac 1Ac     #$%&d'()$    *+(!(,− − =  Y(, !&'()$e((!% !    y = − J( E(   = − " #f!*. 1 1m m m− = ⇔ ≥ "g. 1m ≥ 1Ac 1Ac R6  /  ( ) / / [  . /    /   / / /    / 0 1  /    / 1  /  / /   h  / 1 / /    / /   Oi /     > /  π π     ≠ ⇔ + − + ≠  ÷  ÷     π   − − −  ÷ π π       = ⇔ − + − + − =  ÷  ÷ −     π π     ⇔ + − + − =  ÷  ÷     π   + = −  ÷   π   ⇔ + =  ÷   π   + = −  ÷   ( ) (S[ c     = A = j / 0 c g . i(, !&d'()$ = A = j 0           π π   + + = − ⇔ = − + π ∈  ÷   π = − + π ∈ 1Ac 1Ac 1Ac  -,&'()$. ( ) ( )                 + + + =   + + + + =   ( ) ( ) ( ) ( ) ( ) ( ) ( )                                     1       1        -)!!dk(, I  !,. I  I I  I I  I I   + + + = + + + =   ⇔ ⇔   = −  + + + + =      + + + − = + + + =   ⇔ ⇔   = − = −      + =    = −   ⇔  + = −    = −    − − − − 1Ac 1Ac 1Ac 1Ac R6 /   [D78"79899,)4X!F[! 6>((*$" -l779;m1"#!*. 71I1I1I / ! 8 !I I1      ÷  ÷   I1I!I1I791I 1II / ! 8 ` !I I      ÷  ÷   I91I!I Y6)!. / ! 78 ` !I I     =  ÷  ÷   uuuur I 1Ac  / ! 8` !I I     = −  ÷  ÷   uuuur #U(. 78 ` 8`⊥ ( )    / 78 / ! 78`"8 ` 1 !  1   !   O_%<23()4.  / ! ! 0 O Y "77` !"! "    Q  ⇔ = ⇔ − + + = ⇒ = = = = uuuur uuuur 1Ac 1Ac  !AA@'(n!B.    !   !   + + ≥ + + "C(. / !   ! + + ≥ #!*. ( )    !   ! !   !  !  !   + + ≥ + + ⇔ + + ≥ + +  ( ) / !   ! !   /  ! + + ≥ ⇔ + + ≥ [D.;I!;I!;NAANm1 ( ) ( ) ( ) ( )  )H. N N   N ` )H. N N / O$.   N /  N N #f`!*. N N   N /  N N  N N / & + + ≥ + + + + ≥ + + ≥ + + + + ≥ + + ≥ + + ⇒ + + ≥ 1Ac 1Ac 1Ac 1Ac R6    #!*. o 8L I    =  ÷   uuur p'()$8.    A ]   o = +  ∈  = − +  ( ) ( ) ( ) ( )  8X!F*@:(. ^I ^o Y6)!. 78 I Q 7  I Q o 786>(:7 78"7 1   / /0 1   O_X!F% /Ic ∈ − = − = + − + ∆ ⇔ = ⇔ + + − = ⇔ = uuur uuur uuur uuur 1Ac 1Ac 1Ac 1Ac  @  K6!L  IVI/*&. ( )  6 I I= − uur @  K6!L  IIV*&. ( )  6 II= − uur O$@6>((*?@  @e)(D&E(pK6!76>((*?@  "p _UM&'( !@  2U&&6. ( ) p  I I= − uur " O$@P@  @e)(D&E(q;7A@  "q*D&UM&'(. 1Ac 1Ac  ( ) ( ) ( ) ( ) ( ) ( )   q   p q @ p q 7L 1I I  I6 II Y6)!U&&6 !q. 7L A 6 hII  @ p q "@*D&&. I @*&.6  I /IoIc    O_&d'()$@2.   = − − = −   = = −     = ∩ ⇒ = = −   = − = uuuuur uur uur uuuuur uur uur uur uur uur uur /A  ] N / c   + ∈   = +  1Ac 1Ac R6 c   ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )  /   Q          -&d'()$. 2(   2(   2( /      / [  .    2(   2(   2( /      /      r  / .         / 1    2:   r   .         1  − + + = − − < <   ≠  ⇔ − − + = − ⇔ − = + −  = − + < < ⇔ − = − − + ⇔ + − = ⇔  = − −   = − − < < ⇔ − = − − + ⇔ − = ⇔ = ( )  2: O_&d'()$*(,.  I      = − + = − 1Ac 1Ac 1Ac 1Ac  ( ) ( ) S     1 S  S  S          1 1 1     S  S          1 1 #<<&R.T      U @ T     U @  U @  U @ 6 U @6 U @ [D . @  @    T  U  U @  U @ π π π π π π = + − = − = −   = =   ⇒   = = −     = − + − ∫ ∫ ∫ ∫ ∫  S   1   "U  π = − ∫ 1Ac 1Ac 1Ac . Sở GD&ĐT bắc giang đề thi thử đại học năm học 2010 http://ductam_tp.violet.vn/ Môn : Toán Thời gian làm bài: 180 phút Câu 1:2 điểm ( ) =