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    題目列表(包括答案和解析)

    1、集合A={-1,0,1},B={-2,-1,0},則A∪B=
    {-2,-1,0,1}

    查看答案和解析>>

    2、命題“存在x∈R,使得x2+2x+5=0”的否定是
    對任意x∈R,都有x2+2x+5≠0

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    3、在等差數(shù)列{an}中,a2+a5=19,S5=40,則a10
    29

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    5、函數(shù)y=a2-x+1(a>0,a≠1)的圖象恒過定點P,則點P的坐標(biāo)為
    (2,2)

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    1-10.CDBBA   CACBD

    11. 12. ①③④   13.-2或1  14.   15.2  16.  17..

    18.

    解:(1)由已知            7分

    (2)由                                                                   10分

    由余弦定理得                          14分

     

    19.(1)證明:∵PA⊥底面ABCD,BC平面AC,∴PA⊥BC,                                  3分

    ∵∠ACB=90°,∴BC⊥AC,又PA∩AC=A,∴BC⊥平面PAC.                             5分

    (2)解:過C作CE⊥AB于E,連接PE,

    ∵PA⊥底面ABCD,∴CE⊥面PAB,

    ∴直線PC與平面PAB所成的角為,                                                    10分

    ∵AD=CD=1,∠ADC=60°,∴AC=1,PC=2,

    中求得CE=,∴.                                                  14分

     

    20.解:(1)由①,得②,

    ②-①得:.                              4分

    (2)由求得.          7分

       11分

    .                                                                 14分

     

    21.解:

    (1)由得c=1                                                                                     1分

    ,                                                         4分

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            • 市一次模文數(shù)參答―1(共2頁)

                                                                                                      5分

              (2),時取得極值.由,.                                                                                          8分

              ,∴當(dāng)時,,

              上遞減.                                                                                       12分

              ∴函數(shù)的零點有且僅有1個     15分

               

              22.解:(1) 設(shè),由已知,

              ,                                        2分

              設(shè)直線PB與圓M切于點A,

              ,

                                                               6分

              (2) 點 B(0,t),點,                                                                  7分

              進一步可得兩條切線方程為:

              ,                                   9分

              ,

              ,                                          13分

              ,又時,,

              面積的最小值為                                                                            15分