配套习题- 利用函数单调性求最值 -【青果学院】

1/3单选题

难度：

1.函数

在区间

上的最大值、最小值分别是（）

A	，0
B	，0
C	，
D	最大值是，无最小值

正确答案：Qw==

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

2/3单选题

难度：

2.

函数ƒ (x)=−x²+4x−3 在区间上的最大值和最小值分别是（）

A	1，0
B	3，—6
C	1，—8
D	1，—24

正确答案：Qw==

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

3/3单选题

难度：

3.函数

，

，则

的最小值是（）

A
B	没有最小值
C	2
D	1

正确答案：RA==

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