已知O为坐标原点,A,B为抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
上异于点O的两个动点,且
.若点O到直线AB的距离的最大值为8,则p的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75de1947893e5c7a4d98d4458398fd6e.png)
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21-22高二上·江苏南通·期中 查看更多[4]
江苏省南通市如东县2021-2022学年高二上学期期中数学试题湘教版(2019) 选修第一册 突围者 第3章 第三节 课时2 抛物线的简单几何性质2023版 苏教版(2019) 选修第一册 突围者 第3章 第三节 课时1 抛物线的标准方程(已下线)3.3.2 抛物线的简单几何性质【第三课】“上好三节课,做好三套题“高中数学素养晋级之路
更新时间:2022-08-08 16:39:49
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【推荐1】在平面直角坐标系
中,
是抛物线
的焦点,
是抛物线
上位于第一象限内的任意一点,过
,
,
三点的圆的圆心为
,若直线
与抛物线
相切于点
,则点
的坐标是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
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【推荐2】设抛物线
的准线为
,
为抛物线上的点,
,垂足为
,若
得面积与
的面积之比为
,则
点坐标是_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐1】在直角坐标系中,曲线
与直线
交于
两点,在
轴上存在点
,使得当
变动时,总有
轴平分
,则点
的坐标为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ac6188f40414f76bc754dee4a75809.png)
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【推荐2】已知
为抛物线
的焦点,过点
且倾斜角为
的直线
与抛物线交于
两点,
,
分别是该抛物线在
两点处的切线,
相交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9dd315a4f697285399eb924e7736116.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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