1 . 已知双曲线
的左、右焦点分别为
,
,
为双曲线
右支上的动点,过
作两渐近线的垂线,垂足分别为A,
.若圆
与双曲线
的渐近线相切,则下列命题正确的是________
(1)双曲线
的离心率
(2)当点
异于顶点时,△
的内切圆的圆心总在直线
上
(3)
为定值
(4)
的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ce1534a372db7666711443631c4ae6.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a353d1a988596880c0a48c2303d20c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b7f351578f6fcb9cc91f2d0c9c1840.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5a8e1bc9748e5519dcd9981b7eb251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb1f2fad78cbb42a7569c294cdb7d3f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2d50a03130b0d6036f8354b81b7243.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
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2022-06-22更新
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4卷引用:黑龙江省鹤岗市第一中学2022-2023学年高二上学期期中数学试题
黑龙江省鹤岗市第一中学2022-2023学年高二上学期期中数学试题江西省信丰中学2021-2022学年高二下学期第一次月考数学(理)A层试题(已下线)专题5 求离心率运算(提升版)(已下线)专题19 圆锥曲线(讲义)-1