组卷网>知识点选题>几何法求圆的方程
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| 共计 320 道试题
解答题 | 较易(0.85) | 2021·全国高二课时练习
同步
1 . 已知圆eqId19a4eb16029e4550a14f2afe4741a3c3过点eqId38981a7e2a1f49ffabc6d7878e5404b4eqId43d14488f433483aa69ea675821a8188,且圆心在直线eqIdac871c3b85104c6d9ee61c18a5ad01e5上.
(1)求圆eqId19a4eb16029e4550a14f2afe4741a3c3的标准方程;
(2)将圆eqId19a4eb16029e4550a14f2afe4741a3c3向上平移1个单位长度后得到圆eqIdcfc8599bedfb4ab4944abf141f348a9a,求圆eqIdcfc8599bedfb4ab4944abf141f348a9a的标准方程.
解答题 | 一般(0.65) | 2021·全国高一课时练习
同步
2 . 已知两圆eqIdf07d33f0754e4f93bdd7b27d4709232beqId52bbc177dcef4cb9aa42f319eac99336
(1)求证:此两圆相切,并求切点坐标;
(2)求过点eqIdc0e49ba5f75344029339253a969abbd5且与两圆相切于上述切点的圆的方程.
解答题 | 一般(0.65) | 2021·全国高一课时练习
同步
3 . 已知一曲线是与两个定点eqIdc72e8650f393401a9bddb25db336c44f距离的比为k的点的轨迹,求此曲线的方程,并判断曲线的形状.
解答题 | 较易(0.85) | 2021·全国高一课时练习
同步
4 . 已知点P在圆eqIdd765fa6d90024743968ee1dcf0740b48上运动,求线段eqIda668e52822264c18a05bbdd44d38eb84的中点M的轨迹方程(O为坐标原点)
单选题 | 较易(0.85) | 2021·全国高一课时练习
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5 . 以eqId4a9f0eba5051451994b45945d677e30a为圆心且与直线eqId0c179e029a8646bda6ced054250cf999相切的圆的方程为(   )
A.eqId2babf048bda8469fabedf20bb68a3dd9B.eqId1930ce6242ef4d61a513b12f0d39f69d
C.eqId66e16f48dedd432993b668b0d528d9feD.eqIde068568f27e94a9eab59e5eba84c73d1
解答题 | 较易(0.85) | 2021·全国高一课时练习
6 . 已知圆C经过点eqId43d660ccb1f1410a89a06ee0c122919f和坐标原点,并且圆心在直线eqId69dc6eea4a4a4c98a5714a2367d544d3上,求圆C的标准方程.
单选题 | 较易(0.85) | 2021·全国高二课时练习
同步
7 . 点eqId052844cae8574a8ab842c38a039baac0为圆eqId9633ed124b9443bab46dab59547856a9上的动点,eqIdd3a908032e2b40df95a6d86089b3f682是圆的切线,eqId79a10641764948eca62012e5edaf62a4,则点eqIdbedf755e0fdb4d078d6859360706b163的轨迹方程是(   )
A.eqIdfb8c7050e7bc4c5f98aeb191f3f5b673B.eqIde27723d1b8c6470289c35334c0be6215
C.eqId7bee6978188343bdb8cc62594dd2f3f1D.eqId8484fac42b6e4e618eece48d43615e59
解答题 | 较易(0.85) | 2021·全国高二课时练习
同步
8 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,eqId64b9b599fdb6481e9f8d9a94c102300b的外接圆方程为eqId6526b5eb81fc4b6b89056e5cff68b010eqIdd8bbb5f9d3024556bdde1ef4622bc0dfeqId99a3187c2b8f4bcc9703c74c3b72f1f3边的中点eqId2381423d4cd146cab95f55527681a766关于直线eqIdce76a38ba5224313b1af1c6e91ca9598的对称点为eqId517584fed25c413ba8b7bb33ffa2d5c6,求线段eqIddfc6893910a34544a3e2ca6279c75d43长度的取值范围.
单选题 | 较易(0.85) | 2021·全国高二课时练习
同步
9 . 已知圆eqId19a4eb16029e4550a14f2afe4741a3c3经过两点eqId2acfa1507785422f864e9054ef34cea2eqId434783361f464b75919dc79bcf314557,且圆心eqId19a4eb16029e4550a14f2afe4741a3c3在直线eqId3c645e35e88b4f6f911d2f982c780831上,则圆eqId19a4eb16029e4550a14f2afe4741a3c3的方程为(   )
A.eqIdc4719d432df743428e16c76a7fda84c9B.eqId8c1bb39de2b143ca80aa169d61263d8f
C.eqIda7661a96db2841c68b52215e49ebbef6D.eqId479975e1acc94eaf8ba9f065b89beef2
填空题 | 较易(0.85) | 2021·河北张家口·高二期末
10 . 已知函数eqIdcbbff68725dd4c319c2232f030e2d7c0的图象与x轴相交于AB两点,与y轴相交于点C,则eqId64b9b599fdb6481e9f8d9a94c102300b的外接圆E的方程是________