1 . 已知抛物线C:
的焦点
,直线
与该抛物线交于A,B两点(点A在第一象限),以AB为直径的圆E与抛物线C的准线相切于点D.若
,则点E到y轴的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7cc17eff62057126f3014be270751b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知抛物线
的焦点为F,过F的直线与C交于点
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
A.若![]() |
B.若![]() ![]() |
C.![]() |
D.若直线AB的斜率为1,则![]() |
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2023-03-16更新
|
374次组卷
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4卷引用:江西省赣州市兴国县兴国中学2022-2023学年高二下学期3月月考数学试题
3 . 已知抛物线C:
的焦点为F,过点F作两条互相垂直的直线
,
,且直线
,
分别与抛物线C交于A,B和D,E,则四边形ADBE面积的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
A.32 | B.64 | C.128 | D.256 |
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2023-02-19更新
|
251次组卷
|
2卷引用:江西省赣州市2023届高三下学期阶段性考试数学(理)试题