配套习题- 求抛物线方程的方法 -【青果学院】

1/5单选题

难度：

1.

顶点在原点，焦点是(0，5)的抛物线方程是( )

A	x²=20y
B	y²=20
C	y²=
D	x²=

正确答案：QQ==

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

2/5单选题

难度：

2.

已知抛物线的顶点在原点，对称轴为x轴，焦点在双曲线－＝1上，则抛物线方程为（）

A	y²＝8x
B	y²＝4x
C	y²＝2x
D	y²＝±8x

正确答案：RA==

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

3/5单选题

难度：

3.

直线过抛物线y²=2px（p＞0）的焦点，且与抛物线交于A、B两点，若线段AB的长是8，AB的中点到y轴的距离是2，则此抛物线方程是（）

A	y²=12x
B	y²=8x
C	y²=6x
D	y²=4x

正确答案：Qg==

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

4/5单选题

难度：

4.

动点M在抛物线2x²=y-1移动，则点A(0，-1)与点M的连线中点的轨迹方程为( )

A	y=3x²
B	y=8x²-1
C	y=4x²
D	y=4x²+1

正确答案：Qw==

PHA+6Kej77ya6K6+QU3kuK3ngrnkuLrvvIh477yMee+8ie+8jOWImVDvvIgyeO+8jDJ5KzHvvInlnKjmipvniannur8yeDxzdXA+Mjwvc3VwPj15LTHkuIrvvIw8YnI+5Y2zMu+8iDJ477yJPHN1cD4yPC9zdXA+Pe+8iDJ5KzHvvIktMe+8jDxicj7iiLR5PTR4PHN1cD4yPC9zdXA+77yOPGJyPuaVhemAiUPvvI48YnI+PC9wPg==

5/5单选题

难度：

5.

设斜率为2的直线过抛物线y²=ax(a≠0)的焦点F，且和y轴交于点A，若( O为坐标原点)的面积为4，则抛物线方程为( )

A	y²=±4
B	y²=4
C	y²=±8
D	y²=8

正确答案：Qw==

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