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2022年函数与导数练习题 .pdf

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1、函数与导数练习题（高二理科）1下列各组函数是同一函数的是（）3()2f xx与()2g xxx；()f xx与2()g xx；0()f xx与01()g xx；2()21f xxx与2()21g ttt.A、B、C、D、2函数24xxy的定义域为 .3若)(xf是一次函数，14)(xxff且，则)(xf=.4如果函数2()2(1)2f xxax在区间,4上单调递减，那么实数a的取值范围是（）A、3a B、3a C、a 5 D、a 55下列函数中，在0,2上为增函数的是（）A12log(1)yx B22log1yxC21logyxD212log(45)yxx6)(xfy的图象关于直线1x对称，且

2、当0 x时，,1)(xxf则当2x时，)(xf.7函数21)(xaxxf在区间),2(上为增函数，则a的取值范围是.8偶函数)(xf在0-，（）上是减函数，若)(lg-1)(xff，则实数x的取值范围是9若33)2lg()2lg(,lglgyxayx则（）Aa3Ba23C aD2a10若定义运算bababaab，则函数212loglogfxxx的值域是（）A 0,B 0,1 C 1,D R11函数 1,0在xay上的最大值与最小值的和为3，则a（）A21B2 C4 D4112已知幂函数)(xfy的图象过点)9(),2,2(f则.13已知1x是方程3lg xx的根，2x是方程310 xx的根，则

3、21xx值为.14函数),2(,222,(,2211xxyxx的值域为.15设1232,2()(2)log(1)2.xexf xffxx，则的值为，.16若2)5(12xfx，则)125(f.17根据表格中的数据，可以断定方程02xex的一个根所在的区间是（）x1 0 1 2 3 xe0.37 1 2.72 7.39 20.09 2x1 2 3 4 5 A（1，0）B（0，1）C（1，2）D （2，3）18若一次函数baxxf)(有一个零点2，那么函数axbxxg2)(的零点是 .19关于x的方程0|34|2axx有三个不相等的实数根，则实数a的值是.20关于x的方程axlg11)21(有正根

4、，则实数a的取值范围是.21设()fx是函数()f x的导函数，将()yf x和()yfx的图象画在同一个直角坐标系中，不可能正确的是（）A B C D 22函数231()23f xxx在区间 0,6 上的最大值是23曲线3xy在点1,1处的切线与x轴、直线2x所围成的三角形的面积为.24直线12yxb是曲线ln0yx x的一条切线，则实数b25已知函数24(0)2(0)12(0)xxfxxx x，（1）画出函数fx图像；（2）求21(),3faaRff的值；（3）当43x时，求fx取值的集合.文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K

5、8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U

6、5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6

7、J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB

8、7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV

9、7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3

10、V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:

11、CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U8文档编码:CB7K8R5P10U1 HV7U5H5F9W7 ZP3V6J5W5U826已知函数.93)(23axxxxf（1）求)(xf的单调减区间；（2）若)(xf在区间 2，2 上的最大值为20，求它在该区间上的最小值27已知函数32fxxaxbxc在,0上是减函数，在0,1上是增函数，函数fx在 R上有三个零点，且1 是其中一个零点（1）求b的值；（2）求2f的取值范围；（3）试探究直线1yx与函数yfx的图像交点个数的情况，并说明理由

12、28已知函数212xxfxeax，（其中aR2.71828e无理数）（1）若12a时，求曲线()yfx在点1,(1)f处的切线方程；（2）当12x时，若关于x的不等式0fx恒成立，试求a的最大值文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1

13、A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y

14、10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B

15、1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2

16、S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V

17、4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P

18、2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A429设2()(1)xf xeaxx，且曲线)(xfy在1x处的切线与x

19、轴平行（1）求a的值，并讨论)(xf的单调性；（2）证明：当2,0时，2)(sin)(cosff30已知函数()ln()1af xxaxR（1）当29a时，如果函数kxfxg)()(仅有一个零点，求实数k的取值范围；（2）当2a时，试比较)(xf与1的大小；（3）求证：121715131)1ln(nn（n*N）文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4

20、P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T

21、7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:C

22、M7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 H

23、M4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK

24、4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码

25、:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2

26、 HM4P2B1J3G8 ZK4T7X2S1A4函数与导数练习题参考答案1C；24xx且2x；3312x或12x；4A；5D；621x；721a；8),10()101,0(；9a3；10A；11B；123；133；140,2(；152；160；17C；1821和0；191；20)10,101(；21D；22332；2338；2412ln；25（1）如右图所示。（2）32)1(4)1(24222aaaaf，11)5()3(fff。（3）|59yy。2627（1）32fxxaxbxc，232fxxaxb fx在,0上是减函数，在0,1上是增函数，当0 x时，fx取到极小值，即00f 0b（2）由（

27、1）知，32fxxaxc，1 是函数fx的一个零点，即10f，1ca2320fxxax的两个根分别为10 x，223ax fx在0,1上是增函数，且函数fx在 R 上有三个零点，2213ax，即32a52841372faaa故2f的取值范围为5,2（3）由（2）知321fxxaxa，且32a 要讨论直线1yx与函数yfx图像的交点个数情况，即求方程组321,1yxyxaxa解的个数情况由3211xaxax，得321110 xa xx即2111110 xxxa xxx即21120 xxa xa1x或2120 xa xa由方程2120 xa xa，（*）得2214 227aaaa 32a，文档编码

28、:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2

29、 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8

30、ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档

31、编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3

32、X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G

33、8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4

34、文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4若0，即2270aa，解得32 212a此时方程（*）无实数解若0，即2270aa，解得2 21a此时方程（*）有一个实数解21x若0，即2270aa，解得2 21a此时方程（*）有两个实数解，分别211272aaax，221272aaax且当2a时，10 x，21x综上

35、所述，当32 212a时，直线1yx与函数yfx的图像有一个交点当2 21a或2a时，直线1yx与函数yfx的图像有二个交点当2 21a且2a时，直线1yx与函数yfx的图像有三个交点28（1）当12a时，2111,222xxxfxexfxex，从而得111,12fefe，故曲线()yf x在点1,1f处的切线方程为11()(1)2yeex，即11022exy.（2）由()0f x，得22111121,22xxexaxexxax，令2112,xexg xx则221112,xexxgxx再令21()(1)1,2xxexx则1(1),02xxx exx，即()x在1,2上单调递增.所以()x170

36、282e，因此100,2xgxx，故g x在1,2上单调递增.则12min1119821242eg xg xge，因此m a xa924e.文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1

37、J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S

38、1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4

39、Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2

40、B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X

41、2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7

42、V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A430（1）当29a时，)1(29ln)(xxxf，定义域是),0(，22)1(2)2)(12()1(291)(xxxxxxx

43、f，令0)(xf，得21x或2x当210 x或2x时，0)(xf，当221x时，0)(xf，函数)(xf在)21,0(、),2(上单调递增，在)2,21(上单调递减)(xf的极大值是2ln3)21(f，极小值是2ln23)2(f当0 x时，)(xf；当x时，)(xf，当)(xg仅有一个零点时，k的取值范围是2ln3k或2ln23k（2）当2a时，12ln)(xxxf，定义域为),0(令112ln1)()(xxxfxh，0)1(1)1(21)(222xxxxxxh，)(xh在),0(上是增函数当1x时，0)1()(hxh，即1)(xf；当10 x时，0)1()(hxh，即1)(xf；当1x时，0

44、)1()(hxh，即1)(xf（3）根据（2）的结论，当1x时，112lnxx，即11lnxxx令kkx1，则有1211lnkkk，nknkkkk111211lnnkkkn11ln)1ln(，1215131)1ln(nn文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J

45、3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1

46、A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y

47、10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B

48、1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2

49、S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4文档编码:CM7V4Y10S3X2 HM4P2B1J3G8 ZK4T7X2S1A4

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