摘要: 集合=.=.则=

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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)证明:∵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:过C作CE⊥AB于E,连接PE,

∵PA⊥底面ABCD,∴CE⊥面PAB,

∴直线PC与平面PAB所成的角为,                                                    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

市一次模文数参答―1(共2页)

∴                                                                                        5分

(2)得,时取得极值.由, 得∴.                                                                                          8分

,,∴当时,,

∴在上递减.                                                                                       12分

又∴函数的零点有且仅有1个     15分

 

22.解:(1) 设,由已知,

,                                        2分

设直线PB与圆M切于点A,

又,

                                                 6分

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

进一步可得两条切线方程为:

,                                   9分

,,

,,                                          13分

,又时,,

面积的最小值为                                                                            15分

 

 

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