配套习题- 导数与数学思想 -【青果学院】

1/3单选题

难度：

1.已知函数

，若

在

恒成立，则

的取值范围是（）

A	[
B
C
D

正确答案：QQ==

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

2/3单选题

难度：

2.已知函数

，若

在

恒成立，则

的取值范围是（）

A	[
B
C
D

正确答案：QQ==

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

3/3单选题

难度：

3.已知

，其中

是自然常数，

的最小值是3时，a=()

A
B	e
C	2e
D	4e

正确答案：QQ==

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