配套习题- 如何用定义证明函数的单调性 -【青果学院】

1/4单选题

难度：

1.已知偶函数

在区间

上单调递减，则满足

的

的取值范围是（）

A
B
C
D

正确答案：QQ==

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

2/4单选题

难度：

2.根据单调性的定义，函数

在区间

上是（）

A	增函数
B	减函数
C	既不是增函数也不是减函数
D	无法判断

正确答案：QQ==

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

3/4单选题

难度：

3.根据单调性的定义，函数

在

上的单调性是（）

A	单调递增
B	单调递减
C	既不单增也不单减
D	无法判断

正确答案：Qg==

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

4/4单选题

难度：

4.函数

在

上的单调性是（）

A	单调递增
B	单调递减
C	既不单增也不单减
D	无法判断

正确答案：QQ==

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