名校
1 . 已知圆
.
(1)若过点
向圆C作切线l,求切线l的方程;
(2)若Q为直线
上的动点,
是圆
上的动点,定点
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997765e2c34222992649cb946218df55.png)
(1)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a436db19eb954d31075d5398f1b92ecd.png)
(2)若Q为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2a29cc492d67e2a8a46631f21245c0.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/1bf1bfd30237dce059d0107506d7be9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350a38070bdc27207946be17d5f70223.png)
您最近一年使用:0次
名校
解题方法
2 . 已知圆心C在直线
上,圆C过点
,
.
(1)求圆C的标准方程;
(2)已知点
,求过点M的圆C的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e894db81047f81df006964a290c039cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4193c0af60bce74c8f575dc8dc3ea0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a0066672fdf6e591b842847e5a6c7c.png)
(1)求圆C的标准方程;
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25ce60648ea5042ab5eb5702efe651a.png)
您最近一年使用:0次
名校
解题方法
3 . 已知抛物线
:
(
)经过点
.
(1)求抛物线
的方程及其焦点坐标、准线方程;
(2)过抛物线
上一动点
作圆
:
的一条切线,切点为
,求切线长
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0924ff22fff9f5639feb0ceeece80d.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过抛物线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9df0d79e42d86b0def4caa10dffa75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d063ec7f9dbeba72fabf4437f9400e07.png)
您最近一年使用:0次
名校
解题方法
4 . 已知圆
.
(1)直线
过点
且与圆
相切,求直线
的方程;
(2)圆
与圆
交于
两点,求公共弦长
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce769d55393c86ae6c312de5158e4b3.png)
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9a3ea5e76e165faeabfdbc9717c287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e201e48c910c7364803cad8f42a19e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2024-01-10更新
|
1013次组卷
|
2卷引用:湖南省长沙市长郡中学2023-2024学年高二上学期阶段性检测数学试卷
名校
解题方法
5 . 已知半径为
的圆
的圆心在
轴的正半轴上,且直线
与圆
相切.
(1)求圆
的标准方程;
(2)若
的坐标为
,过点
作圆
的两条切线,切点分别为
,求直线
的方程;
(3)过点
任作一条不与
轴垂直的直线与圆
相交于
两点,在
非正半轴上是否存在点
,使得
?若存在,求点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e9d51742fcf0989adffaea9a17e73b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96c46ef07e6012607a1a86d71554781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a76df48990c036819c0cf7e57ef2aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f911e0ed2429ab67c269cb0ff60ef218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af99797a4b66560829f0eaf800627746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6588aec7aa06aeae117c5c431c32054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2024-01-08更新
|
275次组卷
|
2卷引用:安徽省皖中名校联盟2024届高三上学期第五次联考数学试题
解题方法
6 . 已知圆心为C的圆经过点
和
,且圆心在直线
上,求:
(1)求圆心为C的圆的标准方程;
(2)若过点
作圆C的切线,求该切线方程;
(3)若圆C上恰有3个点到直线:
的距离为1,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f20953302d861e6c698575bfbab1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292dd14f24b8392e499c328c1ca82f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aefcbc03a5c916ebb20f891a0fe7e0d.png)
(1)求圆心为C的圆的标准方程;
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed18bd80c6c4142f68e89f4ad44570b5.png)
(3)若圆C上恰有3个点到直线:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1970f9c78ed513e3710299ade4ac4bfe.png)
您最近一年使用:0次
2024-01-03更新
|
902次组卷
|
3卷引用:四川省眉山市仁寿县2023-2024学年高二上学期12月联考数学试题
名校
7 . 已知圆
,点
,过
轴下方一点
作圆
的切线与
轴分别交于
,
两点.
(1)过点
的直线
被圆
截得的弦长为
,求直线
的方程;
(2)当
时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ee1aeafdfc0aa7ae03e7336c81b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a939c4bde717d6dcf5ad9780c299fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10c64cc584dde9a132ab54c6981cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6895f2b4db6100ffaa8da3c6e77c7072.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](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/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3129ddd2ea97fd010b9e0b644225da8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
解题方法
8 . 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)
您最近一年使用:0次
2023-12-22更新
|
293次组卷
|
2卷引用:山东省枣庄市薛城实验中学等校2023-2024学年高二上学期12月大联考数学试题
解题方法
9 . 已知圆
:
.若直线
:
与圆
相交于A,B两点,且
.
(1)求圆
的方程;
(2)请从条件①、条件②这两个条件中选择一个作为点
的坐标,求过点
与圆
相切的直线
的方程.
①
;②
.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1410414ebd007a6aebfb75240e2b458f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc11a3a7592c68b20f93bdde2ed3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699fc9b7e879af4866aaa07848dfb423.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)请从条件①、条件②这两个条件中选择一个作为点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/3f6f17bc385bafb37e8f964e5eb99cd0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83eacd38727f29b2c2c68ee309080fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedad6bb70631b944c69f8f0b02b35d6.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
名校
解题方法
10 . 已知圆C经过三点
,
,
.
(1)求圆C的方程;
(2)过点
作圆C的切线,求切线方程的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e584f799ea554fc5533925ead4672501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1bf8899b8865afe102aec97e340e45.png)
(1)求圆C的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
您最近一年使用:0次