已知定义域为的函数是奇函数.  求,的值;  若对任意的,不等

 已知定义域为的函数是奇函数

的值;

 若对任意的,不等式恒成立,求的取值范围.

答案

解:因为是奇函数,所以

.
又由知,

.
经检验时,
是奇函数.


易知上为减函数.
是奇函数,

等价于.
为减函数,由上式可得:
即对一切有:
从而判别式.
的取值范围是.

 

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