配套习题- 抛物线定义的应用 -【青果学院】

1/5单选题

难度：

1.

抛物线上一点的纵坐标为4，则点与抛物线焦点的距离为（）

A	2
B	3
C	4
D	5

正确答案：RA==

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

2/5单选题

难度：

2.

已知抛物线的焦点为，直线与此抛物线相交于两点，则（）

A
B	1
C	2
D	4

正确答案：QQ==

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

3/5单选题

难度：

3.

已知x 轴上一点抛物线y²=16x 上任意一点满足则m 的取值范围是（）

A
B
C
D

正确答案：Qg==

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

4/5单选题

难度：

4.

已知抛物线的方程为，过点和点的直线与抛物线没有公共点，则实数的取值范围是（）

A
B
C
D

正确答案：RA==

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

5/5单选题

难度：

5.

若抛物线上一点到其焦点的距离为，则点的坐标为（）

A
B
C
D

正确答案：Qw==

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