P是双曲线
右支上一点,直线
是双曲线C的一条渐近线,P在
上的射影为Q,
是双曲线C的左焦点,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0017262e45089093f70001cae2c60257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd992ba9fc8f9d7752d21d5ddf3cfbb.png)
更新时间:2020-02-09 23:45:26
|
【知识点】 求双曲线中的最值问题
相似题推荐
填空题-单空题
|
适中
(0.65)
【推荐1】定长为
的线段AB的端点在双曲线
的右支上运动,则AB中点M的横坐标的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125b2901f97cc5584137f5d17e546e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8e5a57709f0c99507af139b32855da.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
名校
【推荐2】已知双曲线C:
(
,
)的渐近线方程为
,若动点P在C的右支上,
,
分别为C的左,右焦点,
的最小值是2a(其中O为坐标原点),则
的最小值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6bb019e2d7c6d17d15ec4d9043f5e6.png)
![](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/f34917dbc071e1a8ca367b81252bd0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7eb5b729f2d1e560c49e62088ae95d.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
解题方法
【推荐3】已知椭圆
和双曲线
有相同焦点
,且它们的离心率分别为
,设点
是
与
的一个公共点,若
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f994a876391534efe497dc115a53e3fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8f1a580b0d74eed34a0124ffa8f7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f949f8389814cd40b97435ec708de55c.png)
您最近一年使用:0次