双曲线C:
上的点P到右焦点的距离为10,则P到左焦点的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2f2c9ab2302d6c1c2d6fa4f97a0f85.png)
更新时间:2023-01-14 13:07:48
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【知识点】 利用双曲线定义求点到焦点的距离及最值
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【推荐1】若双曲线
的左右焦点分别为
,
是双曲线左支上的一点,且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9055f58bf6bb8d6c55dcc14b2ae51b4c.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c47a8427546e894f92d0fd52a7e3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de4c1e77124f945632a03118da101eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9055f58bf6bb8d6c55dcc14b2ae51b4c.png)
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【推荐2】点P是双曲线
左支上的一点,其右焦点为
,若
为线段
的中点, 且
到坐标原点的距离为7,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd05d243091ba3ec8da3d33fc5956e2.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd05d243091ba3ec8da3d33fc5956e2.png)
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