1 . 已知曲线
:
,曲线
:
,两曲线在第二象限交于点
,
,
在
处的切线倾斜角分别为
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47970c53355debf46687addef063e9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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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.
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2024-02-20更新
|
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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
,点
.
(1)求圆C的圆心坐标及半径;
(2)求过P点的圆C的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df6b97f5eab4461e55a4ab9d04fdc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33cc0f9aa168e43cc5759f017d69b498.png)
(1)求圆C的圆心坐标及半径;
(2)求过P点的圆C的切线方程.
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4 . 若直线
与圆
相切,则实数
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097a5a81c58288c759bfccdaef7ecdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba497ae7833c24d6b7e1323f66fd56f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
5 . 已知圆
的方程为
.
(1)求
的取值范围;
(2)当
时,求圆
与圆
的公共弦的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcc025ca4f77abcf2fb2b41161e2cf6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168f39d12a373d597c4c0ad724335c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2024-01-17更新
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2卷引用:广东省广州市六区2023-2024学年高二上学期期末教学质量监测数学试题
6 . 已知圆
的一般方程为
,则
的圆心坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57d3a7288058d3a42b2fd93d7743a1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 在平面直角坐标系
中,已知
,点M满足
,记
的轨迹为曲线
.
(1)求曲线
的方程;
(2)设圆
,若直线l过圆
的圆心且与曲线
交于
两点,且
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40252f6b195b6bc1f94f001667098a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a94d9603f1a856a847f0081e0bd61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ad7c88b12702557163289559e8fe1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3d196cfee8345bd28a2f3814b676f5.png)
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2024-01-25更新
|
558次组卷
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2卷引用:甘肃省兰州市第五十八中学2023-2024学年高二上学期期末数学试题
2023高二上·全国·专题练习
8 . 已知关于
的方程
(1)当
为何值时,方程
表示圆;
(2)在(1)的条件下,若圆
与直线
相交于
两点,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4da1dfa21052647b87087a6b66ae983.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)在(1)的条件下,若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9350036344273cd5d077f5066a1e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9661ead0cfc0a39edeb457f54799761a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-17更新
|
189次组卷
|
3卷引用:期末真题必刷易错60题(34个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)
(已下线)期末真题必刷易错60题(34个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)(已下线)期末真题必刷易错60题(32个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)(已下线)第二章 直线与圆的方程(压轴必刷30题5种题型专项训练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)
名校
解题方法
9 . 已知实数
满足,
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ee3684b0b284f61973a354076149ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f278c74bbf702ae00a1c275f148ded9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-24更新
|
525次组卷
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2卷引用:河北省石家庄二中2023-2024学年高二上学期期末数学试题
解题方法
10 . 已知圆
过三个点
,
,
.
(1)求圆
的标准方程;
(2)若
点的坐标为
,求过点
的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86022205a7487439dd8d0897cd3bf19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8833ba3833480237f47774984958c01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2023-12-22更新
|
293次组卷
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2卷引用:山东省临沂市多校2023-2024学年高二上学期12月大联考数学试题