(完整word版)函数的单调性练习题含答案),推荐文档.pdf
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1、函数的单调性练习一、选择题:1在区间(0,)上不是增函数的函数是()Ay=2x1 By=3x21 Cy=x2Dy=2x2x1 2函数 f(x)=4x2mx5 在区间 2,上是增函数,在区间(,2)上是减函数,则 f(1)等于()A7 B1 C17 D25 3函数f(x)在区间(2,3)上是增函数,则y=f(x5)的递增区间是()A(3,8)B(7,2)C(2,3)D(0,5)4函数 f(x)=21xax在区间(2,)上单调递增,则实数a 的取值范围是()A(0,21)B(21,)C(2,)D(,1)(1,)5已知函数f(x)在区间a,b 上单调,且f(a)f(b)0,则方程f(x)=0在区间a
2、,b 内()精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页,共 7 页 -A至少有一实根B至多有一实根C没有实根D必有唯一的实根6已知函数f(x)=82xx2,如果g(x)=f(2 x2),那么函数g(x)()A 在区间(1,0)上是减函数B在区间(0,1)上是减函数 C 在区间(2,0)上是增函数D在区间(0,2)上是增函数7已知函数f(x)是 R上的增函数,A(0,1)、B(3,1)是其图象上的两点,那么不等式|f(x 1)|1 的解集的补集是()A(1,2)B(1,4)C(,1)4,)D(,1)2,)8已知定义域为 R的函数f(x)在区间(,5)上单调递减,对任意实数t,都有f(5
3、t)f(5t),那么下列式子一定成立的是()Af(1)f(9)f(13)Bf(13)f(9)f(1)Cf(9)f(1)f(13)Df(13)f(1)f(9)9函数)2()(|)(xxxgxxf和的递增区间依次是()A1,(,0,(B),1,0,(C 1,(),0D),1),0精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页,共 7 页 -文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:C
4、J2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 H
5、E4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO
6、1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码
7、:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4
8、 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3
9、ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档
10、编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z510已知函数2212fxxax在区间4,上是减函数,则实数a的取值范围是()Aa3 Ba3 Ca5 Da3 11已知 f(x)在区间(,)上是增函数,a、bR 且 ab0,则下列不等式中正确的是()Af(a)f(b)f(a)f(b)Bf(a)f(b)f(a)f(b)Cf(a)f(b)f(a)f(b)Df(a)f(b)f(a)f(b)12定义在R上的函数y=f(x)在(,2)上是增函数,且y=f(x2)图象的对称轴是x=0,则()Af(1)f(3)Bf(0)f(3)Cf(1)=f(3)Df(2)f(3)二、填空题:13
11、函数 y=(x1)-2的减区间是 _ _14函数 y=x2x12 的值域为 _ _15、设yfx是R上 的 减 函 数,则3yfx的 单 调 递 减 区 间为.16、函数 f(x)=ax24(a1)x3 在2,上递减,则 a 的取值范围是_ 三、解答题:17f(x)是定义在(0,)上的增函数,且f(yx)=f(x)f(y)(1)求f(1)的值精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页,共 7 页 -文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D
12、10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C
13、3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6
14、Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R
15、5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G
16、9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6
17、Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P
18、1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5(2)若f(6)=1,解不等式 f(x3)f(x1)2 18函数 f(x)=x31 在 R 上是否具有单调性?如果具有单调性,它在R上是增函数还是减函数?试证明你的结论19试讨论函数 f(x)=21x在区间 1,1上的单调性20设函数 f(x)=12xax,(a0),试确定:当 a 取什么值时,函数f(x)在 0,)上为单调函数21已知 f(x)是定义在(2,2)上的减函数,并且f(m1)f(12m)0,求实数 m 的取值范围22已知函数 f(x)=
19、xaxx22,x1,(1)当 a=21时,求函数 f(x)的最小值;(2)若对任意 x 1,),f(x)0 恒成立,试求实数 a 的取值范围参考答案一、选择题:CDBBD ADCCA BA 二、填空题:13.(1,),14.(,3),15.3,,21,三、解答题:17.解析:在等式中0yx令,则f(1)=0 在等式中令 x=36,y=6 则.2)6(2)36(),6()36()636(fffff故原不等式为:),36()1()3(fxfxf即fx(x3)f(36),又f(x)在(0,)上为增函数,故不等式等价于:.23153036)3(00103xxxxx精品资料-欢迎下载-欢迎下载 名师归纳
20、-第 4 页,共 7 页 -文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z
21、5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5
22、D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9
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24、6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1
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