12-13高一下·云南玉溪·期末
名校
1 . 已知经过
两点的圆
半径小于5,且在
轴上截得的线段长为
.
(1)求圆
的方程;
(2)已知直线
,若
与圆
交于
两点,且以线段
为直径的圆经过坐标原点,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9709df0d027e38b9129c16dd1d01a7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b199f2987ab881ebaa2e4a325b4dbe.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2018-01-24更新
|
471次组卷
|
7卷引用:2013-2014学年浙江省东阳中学高一6月阶段检测数学试卷
(已下线)2013-2014学年浙江省东阳中学高一6月阶段检测数学试卷(已下线)2012-2013学年云南省玉溪一中高一下学期期末考试数学试卷(已下线)2014-2015学年湖北省黄梅一中高二上学期期中考试理科数学试卷江西省赣州市寻乌中学2018届高三上学期期末考试数学(理)试题【全国校级联考】江西省上饶县中学2017-2018学年高一下学期期末考试数学(文)试题安徽省铜陵市第一中学2018-2019学年高二上学期开学考试数学试题四川省南充市2020-2021学年高二上期期末考试数学(文科)试题
解题方法
2 . 已知圆
经过
,
两点,且圆心
在直线
上.
(1)求圆
的方程;
(2)动直线
:
过定点
,斜率为
的直线
过点
,直线
和圆
相交于
,
两点,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfac068d47233495ae90db6f2eb2de69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a03e17da1376b200864c464e79b3191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e9b738497cb8d6381e0de43d1c5ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
3 . 平面上三个定点
,
,
.
(1)求点
到直线
的距离.
(2)求经过A、
、
三点的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d03fa28c117649b0fdfe17eed7b583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2aab2b5d023db00c50ba74445e3458.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求经过A、
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2017-10-31更新
|
558次组卷
|
5卷引用:【全国百强校】浙江省金华市云富高级中学2017-2018学年高一5月阶段考试数学试题
名校
4 . 已知圆
的标准方程为
,圆心为
,直线
的方程为
,点
在直线
上,过
点作圆
的切线
,
,切点分别为
,
.
(1)若
,试求点
的坐标;
(2)若
点的坐标为
,过
作直线与圆
交于
两点,当
时,求直线
的方程;
(3)求证:经过
,
,
三点的圆必过定点,并求出所有定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfcc1f0a544ff3c1187d7c0d5b5f4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bc515488085f71c0b2a0f5744f82d3.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b778752a83a16f17797a3aa2c07bc507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.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/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d79e7020414add95907e061df505ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(3)求证:经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2016-12-04更新
|
525次组卷
|
5卷引用:浙江省金华市兰溪市厚仁中学2021-2022学年高二上学期期中数学试题
名校
解题方法
5 . 已知圆
与
轴交于
两点,
是圆
上的动点,直线
与
分别与
轴交于
两点.
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572454662537216/1572454668787712/STEM/bbb5620a53c24000b1314612da5b3862.png?resizew=214)
(1)若
时,求以
为直径圆的面积;
(2)当点
在圆
上运动时,问:以
为直径的圆是否过定点?如果过定点,求出定点坐标;如果不过定点,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b9a63cc4145ca6c9973da5ef0770da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e4e4c7a79d9d3cdb9ac5949d53e33e.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/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572454662537216/1572454668787712/STEM/bbb5620a53c24000b1314612da5b3862.png?resizew=214)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a789526b5dbf97449e2290e21a7aa48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)当点
![](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/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2016-12-04更新
|
516次组卷
|
2卷引用:2015-2016学年浙江省温州市龙湾中学高二上学期期中考试数学试卷
名校
解题方法
6 . 如图,在平面直角坐标系
中,离心率为
的椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
的左顶点为
,过原点
的直线(与坐标轴不重合)与椭圆
交于
两点,直线
分别与
轴交于
两点.若直线
斜率为
时,
.
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572055058956288/1572055065116672/STEM/d7f7d7c87d8e4053a956d1b46bf049d6.png)
(1)求椭圆
的标准方程;
(2)试问以
为直径的圆是否经过定点(与直线
的斜率无关)?请证明你的结论.
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572055058956288/1572055065116672/STEM/e36d417511b248bba30c49ee6faa620c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ec56b59d6f2654570c2b5c4fd13a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/b9bd788d2944327dd8d25047a08eea54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355c8e295cd0e7895a7bcabb31ebcf13.png)
![](https://img.xkw.com/dksih/QBM/2015/3/31/1572055058956288/1572055065116672/STEM/d7f7d7c87d8e4053a956d1b46bf049d6.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)试问以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
2016-12-03更新
|
1213次组卷
|
7卷引用:2015届浙江省高三第二次考试五校联考理科数学试卷
7 . 已知圆
与直线
相交于
两点.
(1)求弦
的长;
(2)若圆
经过
,且圆
与圆
的公共弦平行于直线
,求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12358eecf4cbe6f666a3e56a937431a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9350036344273cd5d077f5066a1e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6126bb5eb5c4320d8e62959da21841a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9231260a2de7949154b7244bf70785c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
2016-12-02更新
|
872次组卷
|
5卷引用:2012-2013学年浙江省湖州市菱湖中学高二12月月考数学试卷
(已下线)2012-2013学年浙江省湖州市菱湖中学高二12月月考数学试卷(已下线)2012-2013学年重庆市杨家坪中学高二12月月考理科数学试卷新疆乌鲁木齐第六十一中学2023-2024学年高二上学期11月期中考试数学试题四川省内江市第二中学2023-2024学年高二上学期12月月考数学试题湖南省永州市第一中学2023-2024学年高二上学期第三次月考数学试题
8 . 已知经过点
,
的圆
与圆
相交,它们的公共弦平行于直线
.
(I)求圆
的方程;
(II)若动圆
经过一定点
,且与圆
外切,求动圆圆心
的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e648aa381d4c1ee6639536b0b1510a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d429efe96d68065e7d433c996682791d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd59bdc76240a4c5842eb5c6dabff84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9231260a2de7949154b7244bf70785c6.png)
(I)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(II)若动圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521d2cbdff8483ebba708857163ef1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
12-13高二上·浙江嘉兴·期中
9 . 已知方程
表示一个圆.
(1)求实数m的取值范围;
(2)求圆心的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13319cd70c23a0b2a07fa16b876102fc.png)
(1)求实数m的取值范围;
(2)求圆心的轨迹方程.
您最近一年使用:0次
10 . 已知方程x2+y2-2x-4y+m=0.
(1)若此方程表示圆,求m的取值范围;
(2)若(1)中的圆与直线x+2y-4=0相交于M、N两点,且OM⊥ON(O为坐标原点),求m;
(3)在(2)的条件下,求以MN为直径的圆的方程.
(1)若此方程表示圆,求m的取值范围;
(2)若(1)中的圆与直线x+2y-4=0相交于M、N两点,且OM⊥ON(O为坐标原点),求m;
(3)在(2)的条件下,求以MN为直径的圆的方程.
您最近一年使用:0次
2016-11-30更新
|
1769次组卷
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31卷引用:2015-2016学年浙江省慈溪市高二上学期期中联考数学试卷
2015-2016学年浙江省慈溪市高二上学期期中联考数学试卷(已下线)专题9.3 圆的方程(讲)-浙江版《2020年高考一轮复习讲练测》(已下线)辽宁省本溪市第一中学09-10学年高一下学期6月月考数学试卷(已下线)2010年江苏省南京六中高一第二学期期末考试数学试卷(已下线)2010年安徽省蚌埠二中高二第一学期期中考试文科数学卷(已下线)2011-2012学年北京师大附中高二上学期期中考试数学(已下线)2013-2014学年安徽泗县双语中学高二上学期期中考试数学试卷2014-2015学年四川省中江县龙台中学高二上学期期中文科数学试卷2014-2015学年广东潮州饶平县凤洲中学高一下学期知识竞赛数学试卷2014-2015学年湖南省长沙市周南中学高一下学期第三次月考数学试卷2015-2016学年江苏省南通市天星湖中学高二上第一阶段考试数学试卷2015-2016学年河南省许昌市三校高一上学期期末文科数学试卷2015-2016学年河南省许昌市三校高一上学期期末理科数学试卷2016-2017学年河北武邑中学高一11月月考数学试卷2017届山东菏泽一中宏志部高三文上学期月考三数学试卷2017-2018学年高中数学(人教版,必修2)阶段质量检测(四)山东省济南第一中学2017-2018学年高一上学期期末考试数学试题河南省周口市2017-2018学年高一上期期末测调研数学试题湖南省郴州市2017-2018学年高一上学期期末考试数学试题湖北省荆州成丰学校2017-2018学年高二3月月考文科数学试题重庆市朝阳中学2018-2019学年高二上学期半期考试数学(理)试题重庆市朝阳中学2018-2019学年高二上学期半期考试数学(文)试题云南省玉溪市易门一中2017-2018学年高二下学期3月月考理科数学试题(已下线)模块综合检测(B)-2018-2019版数学创新设计课堂讲义同步系列(苏教版必修2)湖南省衡阳县创新实验班2019-2020学年高一上学期期末数学试题江苏省盐城市伍佑中学2019-2020学年高一下学期4月学情调研考试数学试题(已下线)专题9.2 圆与方程(精练)-2021年高考数学(理)一轮复习学与练(已下线)专题6.1 直线的方程以及直线与圆的位置关系-备战2021年高考数学精选考点专项突破题集(新高考地区)江苏省苏州中学2019-2020学年高一下学期开学考试数学试题甘肃省金昌市永昌县第一高级中学2020-2021学年高二上学期期中数学(理)试题河南省开封市五县2022-2023学年高二上学期第一次月考联考数学试题