已知抛物线
,过点
和点
作两条斜率为2的平行线,分别与抛物线
相交于点
,
和点
,
,得到一个梯形
.若存在实数
,使得
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c240561788bc63f41a6703219fb66d9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
更新时间:2022-09-08 10:40:18
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【推荐1】已知曲线
在点
处的切线为
,抛物线
的焦点为
,若切线
经过点
,且与抛物线
交于
,
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69da32c5b018140a52dfa66b3b7a1d1f.png)
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【推荐2】在极坐标系中,直线
的极坐标方程为
,设抛物线
的参数方程为
(
为参数,
),其焦点为
,点
(
)是抛物线
上一点,圆
与线段
相交于点
,且被直线
截得的弦长为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
__________ .
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解题方法
【推荐1】已知抛物线
,过焦点
且斜率为1的直线与
相交于
、
两点,且
、
两点在准线上的投影分别为
,
两点,则
的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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【推荐2】已知抛物线
的焦点为
,准线为
,过焦点
的直线交抛物线于
两点,过
分别向
引垂线,垂足分别为
,
,若
,那么
内切圆的半径为______ .
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解题方法
【推荐1】已知抛物线
,A,B为C上的两个动点,若
,P为线段AB的中点,则P到y轴距离的最小值为______ .
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您最近一年使用:0次
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解题方法
【推荐2】过抛物线
的焦点
作倾斜角为
的直线交抛物线于
两点,
为坐标原点,则
的面积为______________
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【推荐1】已知抛物线
上的点到
轴的距离比到焦点
的距离小1,过
的直线
交抛物线
于
两点,若
恒成立,则实数
的取值范围是___________ .
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【推荐2】已知抛物线C:
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