解题方法
1 . 已知抛物线C:
的焦点为F,点
,且
.
(1)求抛物线C的方程;
(2)过点Q作直线l交C于A,B两点,O为原点,过点A作x轴的垂线,分别与直线
,
交于点D,E,从下面①②两个问题中选择一个作答.
①问:
是否为定值,并说明理由;
②问:在直线
上是否存在点M,使四边形
为平行四边形,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21443bffcdb46d7762a351c4d09bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8d1128232dffdd5fbe3f9d81d50aee.png)
(1)求抛物线C的方程;
(2)过点Q作直线l交C于A,B两点,O为原点,过点A作x轴的垂线,分别与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
①问:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b1851b0c87ffde837e3540a3c5d680.png)
②问:在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5489dcbeab40a8d1c0f5af0a6219e3.png)
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