1 . 已知
分别是双曲线
的左、右焦点,过点
且垂直
轴的直线与
交于
两点,且
,若圆
与
的一条渐近线交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c7359da90cb534d1d2b8ac98b974cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bac4d3d2be66e9f25b59e3a94f235e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
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2024-02-20更新
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6卷引用:甘肃省部分学校2024届高三下学期2月开学考试数学试题
2 . “康威圆定理”是英国数学家约翰·威廉引以为豪的研究成果之一,定理的内容如下:如图,
的三条边长分别为
,
,
.延长线段
至点
,使得
,延长线段
至点
,使得
,以此类推得到点
,
,
,
,那么这六个点共圆,这个圆称为康威圆.已知
,
,
,则由
生成的康威圆的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef5fcdbfc6293db5e91e6f1bcb46e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fefc41ca7ac455b9212f03322474591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3fa6a68a9ffe7568996974b592f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4c6c5446384bcc1306c342334c317f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b3edb5d3ae89120085259d53265ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a688b51f4862f610d3064199aeb336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1659bc969a9689f94a1d5a567fb29394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/10/78cdf7d8-a1fb-4a13-82e7-f171a0df28d4.png?resizew=175)
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6卷引用:甘肃省白银市靖远县2022-2023学年高三上学期开学考试数学(理)试题
名校
解题方法
3 . 已知直线
与圆
相交于
、
两点(
为圆心),且
为等腰直角三角形,则实数
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f69e225116ac1800cac3b8f13119f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9卷引用:甘肃省天水市第一中学2020-2021学年高三第五次考试(下学期开学考试)数学(文)试题
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