配套习题- 利用导数求函数的极值、最值 -【青果学院】

1/3单选题

难度：

1.

函数的最大值为( )

A
B
C
D

正确答案：QQ==

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

2/3单选题

难度：

2.

若函数，则（）

A	最大值为，最小值为
B	最大值为，无最小值
C	最小值为，无最大值
D	既无最大值也无最小值

正确答案：RA==

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

3/3单选题

难度：

3.

已知（为常数）在上有最大值，

那么此函数在上的最小值为（）

A	-37
B	-29
C	-5
D	-11

正确答案：QQ==

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