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A.        B.     C.       D.不存在

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     A          B           C            D

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 (     )

    A.      B.      C.            D.

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                                                           (    )

A.             B.               C.             D.

 

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=(      )

A.              B.             C.             D.

 

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一.選擇題

1―5  CBABA   6―10  CADDA

二.填空題

11.       12.()       13.2          14.         15.

16.(1,4)

三.解答題

數(shù)學(xué)理數(shù)學(xué)理17,解:①         =2(1,0)                      (2分)             

        ?,                                        (4分)

  • ?

            cos              =

     

            由,  ,    即B=              (6分)

                                                   (7分)

                                                            (9分)

    ,                                                         (11分)

    的取值范圍是(,1                                                      (13分)

    18.解:①設(shè)雙曲線方程為:  ()                                 (1分)

    由橢圓,求得兩焦點,                                           (3分)

    ,又為一條漸近線

    , 解得:                                                     (5分)

                                                        (6分)

    ②設(shè),則                                                      (7分)

          

    ?                             (9分)

    ,  ?              (10分)

                                                    (11分)

      ?

    ?                                        (13分)

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          1.   單減區(qū)間為[]        (6分)

             

            ②(i)當                                                      (8分)

            (ii)當,

            ,  (),,

            則有                                                                     (10分)

            ,

                                                           (11分)

              在(0,1]上單調(diào)遞減                     (12分)

                                                             (13分)

            20.解:①       

                                                                    (2分)

            從而數(shù)列{}是首項為1,公差為C的等差數(shù)列

              即                                (4分)

             

               即………………※              (6分)

            當n=1時,由※得:c<0                                                    (7分)

            當n=2時,由※得:                                                 (8分)

            當n=3時,由※得:                                                 (9分)

                (

                                                      (11分)

                                     (12分)

            綜上分析可知,滿足條件的實數(shù)c不存在.                                    (13分)

            21.解:①設(shè)過A作拋物線的切線斜率為K,則切線方程:

                                                                            (2分)

                即

                                                                                                               (3分)

            ②設(shè)   又

                 

                                                                     (4分)

            同理可得 

                                                            (5分)

            又兩切點交于 

                                           (6分)

            ③由  可得:

             

                                                            (8分)

                              (9分)

             

             

             

                                                                 (11分)

            當且僅當,取 “=”,此時

                                                   (12分)

            22.①證明:由,    

              即證

              ()                                    (1分)

              

                  即:                          (3分)

              ()    

               

               

                                                                     (6分)

            ②由      

            數(shù)列

                                                          (8分)

            由①可知, 

                                (10分)

            由錯位相減法得:                                       (11分)

                                                (12分)