(06年山东卷理)(12分)设函数,其中,求的单调区间.

06年山东卷理)12分)

设函数,其中,求的单调区间.

答案

解析:由已知得函数的定义域为,且

1)当时,函数上单调递减,

2)当时,由解得

的变化情况如下表

0

+

极小值

从上表可知

时,函数上单调递减.

时,函数上单调递增.

综上所述:

时,函数上单调递减.

时,函数上单调递减,函数上单调递增.

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