1 . 如图,已知抛物线C:
,过焦点F斜率大于零的直线l交抛物线于A、B两点,且与其准线交于点D.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/cb81ce70-6106-49ea-be84-77db72342185.png?resizew=143)
(1)若线段AB的长为5,求直线
的方程;
(2)在C上是否存在点M,使得对任意直线l,直线
的斜率始终成等差数列,若存在求点M的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/cb81ce70-6106-49ea-be84-77db72342185.png?resizew=143)
(1)若线段AB的长为5,求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)在C上是否存在点M,使得对任意直线l,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9699e9776ee543d8d7ddd032428ff962.png)
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解题方法
2 . 直线
过抛物线
的焦点
且与抛物线交于
、
两点,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd43dc97858eb6571a9ef054d6feb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7203604385ef3065b52149d740959b27.png)
您最近一年使用:0次
2022-08-12更新
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677次组卷
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3卷引用:云南省下关第一中学2023届高三上学期见面考数学试题