已知抛物线
,过焦点F的弦AB,过A,B分别作抛物线的切线,两切线交点P的横坐标为1,则直线AB的斜率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
更新时间:2023-03-23 22:51:07
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【推荐1】已知函数
,则曲线
在点
处的切线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d011f1f32830723d94d9b8c810b1a2.png)
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【推荐2】设曲线
在点
处的切线与曲线
在点
处的切线垂直,则点
的横坐标为__________ .
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【推荐1】已知直线
与抛物线
有且只有一个公共点,则实数k的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc66be3e49c75a366f3f8cc6172487a.png)
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【推荐2】若直线
是抛物线
的一条切线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fb2b4f26f53685e0ee28c3b8d51e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
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解题方法
【推荐1】已知斜率
为的直线过抛物线
的焦点
且与抛物线
相交于
,
两点,过
,
分别作该抛物线准线的垂线,垂足分别为
,
,若
,则
______________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
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【推荐2】已知直线
与抛物线
交于
两点,
为坐标原点,
的斜率分别为
,则
=____________ .
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