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)
您最近一年使用:0次
2024-02-20更新
|
684次组卷
|
7卷引用:上海市金山中学2023-2024学年高二下学期3月月考数学试卷
上海市金山中学2023-2024学年高二下学期3月月考数学试卷(已下线)专题02 圆锥曲线--高二期末考点大串讲(沪教版2020选修)甘肃省部分学校2024届高三下学期2月开学考试数学试题河南省九师联盟2024届高三上学期2月开学考试数学试卷内蒙古自治区赤峰市松山外国语学校2024届高三下学期开学考试数学(理)试题(已下线)第2套 复盘提升卷(模块二 2月开学)河南省信阳市新县高级中学2024届高三适应性考试(七)数学试题
解题方法
2 . 已知圆C:
,直线
.
(1)求m的取值范围;
(2)当圆C的面积最大时,求直线l被圆C截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192cb06729bc686a647be076ed86c287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b42ae270621783ce5e318f69a7d76f.png)
(1)求m的取值范围;
(2)当圆C的面积最大时,求直线l被圆C截得的弦长.
您最近一年使用:0次
2024-02-20更新
|
142次组卷
|
2卷引用:湖北省荆州市八县市区2023-2024学年高二上学期1月期末联合考试数学试题
3 . 已知圆
过点
,点
在线段
上,过点
作圆
的两条切线,切点分别为
,以
为直径作圆
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f22b72bd2a3393fb9588032156381a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b185d4854b7d7129263fe1b85fc2284.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
A.圆![]() ![]() |
B.![]() |
C.圆![]() ![]() |
D.切点![]() ![]() |
您最近一年使用:0次
2024-02-20更新
|
227次组卷
|
3卷引用:广东省实验中学深圳学校、深圳外国语学校龙华高中部2023-2024学年高二上学期期末联考数学试卷
解题方法
4 . 已知点
,若过点
的直线
交圆
于
两点,
是圆
上的动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2a5c155717f3a59d7818b4bbdf44e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0e79d8f741b7a43839383444ebfbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb6e9693f41a982230a768aab99df9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知圆
和圆
的交点为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb755f8f3844716fd340767f0472cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6735f879dd1f284706041ada9e3beb19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.公共弦![]() ![]() |
B.线段![]() ![]() |
C.公共弦![]() ![]() |
D.![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
6 . 已知直线
:
(
),圆
:
.
(1)试判断直线
与圆
的位置关系,并加以证明;
(2)若直线
与圆
相交于
,
两点,求
的最小值及此时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1425947c0960fd29228239c2538ac194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c84f3f44bab965263da8ade60e4606.png)
(1)试判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
解题方法
7 . 已知直线
,圆
.
(1)若直线
与圆
无公共点,求实数
的取值范围;
(2)若直线
与圆
交于
两点,且
(
为圆
的圆心)为直角三角形,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe62179f390ac52b07d2a28ff369b855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dbf4bae9540d802d277336722d7500.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
8 . 已知圆
,直线
.
(1)求m的取值范围;
(2)当圆
的面积最大时,求直线
被圆
截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f125ef195701ffbc4881322f138ae78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aefcbc03a5c916ebb20f891a0fe7e0d.png)
(1)求m的取值范围;
(2)当圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-02-19更新
|
205次组卷
|
2卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
9 . 已知圆
,直线
,直线l被圆C截得的最短弦长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bd2484f03f030df644c18e036ed0e4.png)
您最近一年使用:0次
10 . 已知以点
为圆心的圆与圆
相外切.
(1)求圆
的方程;
(2)若直线
与圆
相交于
,求
的最小值及此时
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6cd64fdc3537c1892582014ead61ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9560b002b6ffd6c0bb4fe13a966a9afc.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5818c55ba69b39e884cac10262ddad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次