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贵州省2016年普通高等学校高三4月适应性考试数学(文)试题(pdf版)

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                                     4    9    15 : 00  17 : 00

                      2 01  6


    1
                      I    (        )      II   (          )

     2           1


     3        II

     4


                                                  I

                          12                 5


                                               ·
 1             U  =    2 0 1 2        J
( )                 {    , , , }             .     2 × =
                                                         O  ,
                                             I                   C.


(2 )        z       (1 + i )z - 2 i    z

      A  l + i               B  1  i  
     (  )                   ( )                   (C )  l + i  
                                                                         (D )  I   i

 3             -
( )         j    f (x )        (3     )     f  (x )

     (A )               (0  + o o )               (B )
                                                                     (0 + o o )
      c                  O  + o o
     {  )               (  ,   )                  (  )
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                                                                             ( ,    )
                '
              a       1 ( a  O   a    l )


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                ,                           a / / a


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                                                       (   6   )
                                                                           ©
         a  c a  b c              l l          a 1l     b l i p
                ,     a         a    p             p


     (  )      @                                  (B ) ®
     (C )                                         (D )
(6)


                                                          3


      sc ) s h  + 3                                                             1

      (D ) 1843   + 2


 (7 )                                      170


                                             -
                   e  ·                    a    · ' "       ¬ R  )       =             =
 (8)                   ·                         ·       (              1

                                  43


 (9 )


            24                    12                      12                    24
       (A )                  (B )                  (C )                  (D )
            2 5                   2 5                     25                    2 [


                                                    2   (   6   )
                2
                 _ 2  x       O           F       F
 ( 11)        y      p  (p     )             ,                  3                       B


                Å B                  x           M   l l 0
                                                    i  , )     p

     (A ) 2               (B ) 3                (C ) 6               (D ) 12


                                         ' P
                    =
(12)           f (x )                               x  =    x    n 1x   0  2
                                                 g ( )   f ( )         (  , ]


                                               n

                                            13        2 1
        22        24

                         4                5

             2    2
 (13)       ×    1  _ 1

                                   2   0
                           l x + y   2   ,

                                                 - 2 × +
 14    x                    x  2   + 4   0     z
 ( )    ,                        y  


                                    2 + f (x )
                                                     2 = 3         2  =
 (15)      f (x )           g (x ) =              g ( )        g j   )
                                      f (x )


                                                             2    2          2
                                                            a  + c  .              =
 (16                    b c             B  C                          a c + b  , b
    )      Á B C     a , ,                ,


         a   c ,    2 a  c


                                                 3   (   6   )
( 17 ) (                  12     )

                                                                                    '
                                                            =          1   n  ¬  N
                 l a  }        n           S          2 8      3a        {           )
                                             .

         I  )      a   a              a
                    1                l   }                  ;

       ( 1                                                                               7
          1 )                b           b   =  l o    o           {b  }       n
                            {    }                 g 3   2 n


 ( 18)    (                 12     !

                                                                                                                       50

                               70


                                                       15              35              5 0

                                                                                       70

                                                       4 5             7 5             12 0

           I  )                     90%

                                                 2
                         2           N (a d  bc )
                       K   .
                             (a  +  b) (c  +  d ) (a  +  c ) (b +  d )


                                  k         l 3 2 3 
                                    o               L    2      2  70 6  1 3 84 1
         ( II )

                        6
                                                            6                     2
                              1


                                                                   4     (    6    )
  (19 ) (            12   )

                  À B C D        B  - 3  Å D  = 4                        B D
                                                                                        C  . a

                       B C D
                             ,

       ( i )                                                     ?
                                              B    C D                               a     ;

       ( II )              B C D


 (20) (             12   )


                 G               1(· · ·   0       .                    M
                                            )                              ,


 F  F        M F  - \ 2 0     M F F
     2          ,                ,  2

      ( I )          G

                                                               2    2
      ( II )         G              P  t O         1     O   ×  +     ·
                                      ( , )                       y     1           Q (     P

       )         G       B           Á g j = lB p I      t


(2 1) (            12   )

                            2           2
               x  =  1  + ×    2 a K  + a  
            f  ( )    x                  ,  a E  R


    ( I )    a - O
                                  f (x )            3× + m                 m

    ( II
        )           x      1 3
                  f ( )     , ]                           a


                                                5    (  6   )
                                  22 .  23 . 24

1
 ,
                 ( 22 ) (           10   )      4 1
                                         À B C D
                                                     B C    À D                 E  ,    F    B Á


                ( 23 ) (           10   )      4 4

                                  x                      x                                     C


                          -
                             4 c o s Q , Q ¬ O
                        p                    ,

                     I )    C

                                             2
                   (   )   C       D  (x   5) + (       y - n ? ( m        m    O )


               ( 24 ) (           10   )       4 5

                               (x ) = 2ïx  + l + x 2l

                   ( I )          (x )          m

                                                                               2    z    2
                                                                              b    c    a
                   ( I I )  a b c                      a + b + c - m             +    +       3
                             , ,
                                                                               a    b    c


                                                            6   (   6  )
                               2 0  1 6


                 (             12                    5          6 0

                               )
                                                                                         6    t $
   ( 1 ) A          ( 2 ) B         ( 3 ) D          ( 4 ) C           ( 5 ) B          (  )  

                                4                   5           2 0

            2
                                6             7 0
  ( 17 )

                                                                     =                                         1
                              2 8  =  2 a   - 3 a     1          a     1
       ( I  )                    1                1                l 


                     2 5     3 a     1                       ®


                     2 8     = 3 a       1(n     2 )
                        n  1         1

                            2 a      3a      3a           a      3 a     (n    2
              ®                                 .  1                 , 1         )


                  }             1            2


( 18 )


                                                              1     (    6    )
                2
       )      K  .  
    ( I                4 5 × 7 5 × 50 × 70

            2 0 57 <  2 70 6
                                                                                      6
                  90%

                                                                          30 ×    - 4
                                                     -     .                   15
    ( .I )                                        4 5  15

                                                                                   9
                  15 ×    _ 2
                       15
                                                                                         2
                                                         C   C         )
                             B   B   B  B   C   C   (      r ,
                                   2 , 3 , 4 , 1 , ,


 C  B    C   C     9
( ,  , ) ( t  , )


 ( 19 )
                                                                                 2
     ( I )     Á B    C D
                Á B


             A B    C D ,


                 B           C D ,
                 B      C

                           '      ·
                        BC     A ß  -         =


               a -   7          B    CD                                           6

     ( II )       B CD                              B CD
                      B D        B CD              体���                           8


                               Á B D      Å H    B D ,        H ,


                                               2   (   6   )
                                                                                     12
                  -   S         H  =
             B c o      . . . . À


                                                        k      1
( II )            t   y                                   (x    )

               t                        0    1


              2      2
                       _ 4                      2      2        2 2
            x   +  4 y     ,                2
                                     (l +  4 k  ) x  Bt k  x +  4 (1 k  1) =  0


                                                 2
                                              8t k  
                                  x  + x  -                                   9
                      ×       ,
           x       B (  2 .                        2
          (  , . J l )                          4 4

                                      t )

                                              x   -
            x
         Q(   , y )
             o   o           -


                              p                    X  + x  - t + x
                         Á B , g                    ,             o


                                2
                   2          i k  
               8t k                          2
                                           k  _
                       = t +     2 ·
                     2      l + k                2
              l +  4 k  


                            -  /
                ®          t                                                  12

                                           3    (   6   )
( 2 1)

    ( I )    a -  0      f (x ) = l n '" + x


                        O +                                                       1
                       ( ,


     ( i n


                     r 3
                     [ , ]


             g (x ) =  2 x 2 a r + l

                    f (x )   [  ]                              g (x ) [  0


                                                           a                (· · D
                      f (x )   [                                                ,   !

                                                                                    12

               9 (1)  O   g (3)   O

( 22 )
      I )             Á B C D                        C D E                         1

                                      =
             E F  l LC D .    Z C D E   Z FE A                                     2

                    B =


                                               4       6   )
                                                                        4
                     F E B
           F  E           ,


         EC "         E C
         ED      3    E D    3

                                                                        8
         L B = L C D E  i C E D              EC D      EA B
                      .

           D
             C    E C    E C    1 E C   &                               10
            1 8   0 4   1 ED   2 ED     6


                                       '
          C                               t         O[ 1     )          5
                         {    l s i n

     (                     1    )

(  ) C    D                   2 0   5  /3
        ,                    ( , ) (     )


                                                                      7


                            t a n 1 =  t =
                                   3      6


           f (x )          m - 3
                                                                        s

   )   b c                    a + b + c - 3
     a , ,
                                                                        6

                                         (  6   )
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