题目内容
对于函数
,解答下列问题:
(1)若
定义域为R,求实数a的取值范围;
(2)若函数
在
内为增函数,求实数a的取值范围.

(1)若
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(2)若函数


(1)
(2)

(2)

(1)利用函数恒成立知识列出关于a 的不等式,然后求解即可;(2)根据复合函数的单调性转化为内层函数g(x)在给定区间内的单调问题
设
(1)(5分)∵
对
恒成立

(或由
的解集为R,得
求出
)
(2)(7分)命题等价于
等价于
等价于
故所求a的取值范围是
.
设

(1)(5分)∵



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(或由



(2)(7分)命题等价于



故所求a的取值范围是


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