(完整word版)函数的单调性练习题含答案),推荐文档.pdf

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，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 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: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 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 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: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 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 ZO1J5W6Y6Z5文档编码: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: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 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 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: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 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 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 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)=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-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 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: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 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 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 ZO1J5W6Y6Z518.解析：f(x)在 R 上具有单调性，且是单调减函数，证明如下：设 x1、x2(，)，x1x2，则 f(x1)=x131，f(x2)=x231f(x1)f(x2)=x23x13=(x2x1)(x12x1x2x22)=(x2x1)(x122x)243x22 x1x2，x2x10 而(x122x)243x220，f(x1)f(x2)函数 f(x)=x31 在(，)上是减函数19.解析：设 x1、x21，1且 x1x2，即 1x1x21f(x1)f(x2)=211x221x=2221222111)1()1(xxxx=2221121211)(xxxxxxx2x10，222111xx0，当 x10，x20 时，x1x20，那么 f(x1)f(x2)当 x10，x20 时，x1x20，那么 f(x1)f(x2)故 f(x)=21x在区间 1，0上是增函数，f(x)=21x在区间 0，1上是减函数20.解析：任取 x1、x20，且 x1x2，则f(x1)f(x2)=121x122xa(x1x2)=1122212221xxxxa(x1x2)=(x1x2)(11222121xxxxa)(1)当 a1 时，11222121xxxx1，又x1x20，f(x1)f(x2)0，即 f(x1)f(x2)a1 时，函数 f(x)在区间 0，)上为减函数(2)当 0a1 时，在区间 0，上存在x1=0，x2=212aa，满足f(x1)=f(x2)=1 精品资料-欢迎下载-欢迎下载 名师归纳-第 5 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 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: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 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 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 ZO1J5W6Y6Z50a1 时，f(x)在，上不是单调函数注：判断单调性常规思路为定义法；变形过程中11222121xxxx1 利用了121x|x1|x1;122xx2；从 a 的范围看还须讨论0a1 时 f(x)的单调性，这也是数学严谨性的体现21.解析：f(x)在(2，2)上是减函数由 f(m1)f(12m)0，得 f(m1)f(12m)32232131211,2212212mmmmmmm即解得3221m，m 的取值范围是(32,21)22.解析：(1)当 a=21时，f(x)=xx212，x1，)设 x2x11，则 f(x2)f(x1)=x21122121xxx=(x2x1)21212xxxx=(x2x1)(12121xx)x2x11，x2x10，12121xx0，则 f(x2)f(x1)可知 f(x)在1，)上是增函数 f(x)在区间 1，)上的最小值为 f(1)=27(2)在区间1，)上，f(x)=xaxx220 恒成立x22xa0 恒成立精品资料-欢迎下载-欢迎下载 名师归纳-第 6 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 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:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 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ZO1J5W6Y6Z5文档编码:CJ2P1R5D10P4 HE4N1G9C3H3 ZO1J5W6Y6Z5设 y=x22xa，x1，)，由 y=(x1)2a1 可知其在 1，)上是增函数，当 x=1 时，ymin=3a，于是当且仅当 ymin=3a0 时函数 f(x)0 恒成立故 a3精品资料-欢迎下载-欢迎下载 名师归纳-第 7 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 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 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