配套习题- 导数、零点、方程的根三者之间的关系 -【青果学院】

1/3单选题

难度：

1.已知函数

的定义域为

，部分对应值如下表，

的导函数

的图象如图所示.

函数

最多有（）个零点

A	1
B	2
C	3
D	4

正确答案：Qg==

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

2/3单选题

难度：

2.若函数

有3个不同的零点,则实数

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.设函数

. 若f(x)的三个零点为

且

，则（）

A
B
C
D

正确答案：Qw==

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