已知双曲线
左、右焦点分别为
,直线
与双曲线右支交于点
,过点
作
平分线的垂线,垂足是
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c477e5ade921ffa8377c4719319380ff.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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23-24高二上·广东深圳·阶段练习 查看更多[2]
广东省深圳市五校联考2023-2024学年高二上学期12月段考数学试题(已下线)第三章 圆锥曲线单元测试(巅峰版)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)
更新时间:2023-12-08 22:15:03
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【知识点】 求直线与双曲线的交点坐标
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【推荐1】设
分别为双曲线
的左、右焦点.若在双曲线右支上存在点
,满足
,且
到直线
的距离等于双曲线的实轴长,则该双曲线的渐近线与抛物线
的准线围成三角形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ad648974899907921314ffdf3bf250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093bec291d374725e9e4810847568a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
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单选题
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适中
(0.65)
【推荐2】已知
,
分别为双曲线
的左、右焦点,点P在双曲线的右支上,且位于第一象限,若直线
的斜率为
,则
的内切圆的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61ada976868d138bd87c56e0035e8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
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