1 . 设抛物线
的焦点为F. 点M在y轴上,若线段FM的中点B在抛物线上,且点B到抛物线准线的距离为
,则点M的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250b5107cbd77faecb232faa478adfa4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-01-08更新
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2卷引用:吉林省洮南市第一中学2021-2022学年高二上学期第三次月考数学试卷题
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2 . 已知抛物线
,过点
的直线
交抛物线于
两点,坐标原点为
,
.
(1)求抛物线的方程;
(2)当以
为直径的圆与
轴相切时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e38bd48c569e650474d63f1fb16125f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a43cfb653538dd742328104a5d0ba5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e80cacd79b9db31e1e7c7a3e3881f9.png)
(1)求抛物线的方程;
(2)当以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2016-12-03更新
|
900次组卷
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8卷引用:吉林省洮南市第一中学2021-2022学年高二上学期第三次月考数学试卷题