解题方法
1 . 已知圆
的圆心与抛物线
的焦点关于直线
对称,直线
与
相交于
两点,且
,则圆
的标准方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089243ad31b799d65b9e86ec2a116188.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/0907a673d52825cd7df84b400972d4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2 . 已知曲线
,过点
作该曲线的5条弦,这些弦的长度构成一个递增的等差数列,则该数列公差的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df58ee3360883170516d2a75629c8162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a6b0736b4972224e50d2cef4654b07.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知
是圆O:
的直径,M,N是圆O上两点,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac144685e50009fa7c9233d85e8bd85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7683ce32fad2ebca39b05a5c13890e.png)
A.0 | B.-2 | C.-4 | D.![]() |
您最近一年使用:0次
2024-06-13更新
|
802次组卷
|
3卷引用:安徽省A10联盟2024届高三4月质量检测考试数学试题
4 . 已知在平面直角坐标系xOy中,
,动点P满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420d464c96149bd9cb5c7b1b3548133c.png)
则P点的轨迹Γ为圆_______ ,过点A的直线交圆Γ于两点C,D,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7b02a080e9c7d2b9d2c621bcde2d67.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2ba05abdc8179e5ff980fb2d15ce2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420d464c96149bd9cb5c7b1b3548133c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c915b4ce31fabfd4703c547291ad9277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a3363fbd9527e8aef45af8b302d01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7b02a080e9c7d2b9d2c621bcde2d67.png)
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5 . (1)求经过两条直线
和
的交点,并且垂直于直线
的直线方程;
(2)已知圆
的圆心在直线
上,圆
与直线
相切,且在直线
上截得的弦长为
,求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227d4946b9dbfdc8bef33b42b6a82572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6c22d1d53d8f0ed30d5c8a9cf30b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d717a25a45873801c0e6c1cba9468cd.png)
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1a686b80b8f109a929f58c2de7201d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5428b040be21dcd503d350478c0a4773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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6 . 已知圆
,过点
作圆
的两条切线,切点分别为
,且
.
(1)求
的值;
(2)过点
作两条互相垂直的直线,分别与圆
交于不同于点
的两点
,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe2a50db90fde900fc8df0838cfee04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d26e5a4e3472fd6b1dbc1ea628a3fb.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/05c0a6bf0ed3121a4b7ffb045d2ebd96.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d776a89f4fd29dccffe1040069d59ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8b8c1c96f65dd76b88502d9abec6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2024-02-24更新
|
196次组卷
|
4卷引用:河南省部分名校2023-2024学年高二上学期1月期末考试数学试题
7 . 已知圆
的圆心为
,过直线
上一点
作圆的切线,且切线段长的最小值为2.
(1)求圆
的标准方程;
(2)若圆
与圆
:
相交于
,
两点,求两圆公共弦
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4cb0990b93c9900bab2784bef4b10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e210795a966bd5dc1293479ab1988b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2824f7742d8b19c71173704addc50e08.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
8 . 已知圆C的圆心为
(
且
),
,圆C与x轴、y轴分别交于A,B两点(与坐标原点O不重合),且线段
为圆C的一条直径.
(1)求证:
的面积为定值;
(2)若直线
经过圆C的圆心,设P是直线l:
上的一个动点,过点P作圆C的切线
,
,切点为G,H,求线段
长度的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad0f00d7f0acc53d9774923580a60bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0f2ef0a60be68075ef22fc4159291c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d58f9019097bd05037aefd5c322916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803a617fb53e67edbc2955cb629c329b.png)
您最近一年使用:0次
9 . 已知圆
,若直线
与圆C相交于两个不同的点A,B,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662ce0ef96a6ef35141235f9291bd775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d0fda55edcdec1b0efb850256b8e97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
10 . 已知圆
.
(1)求直线
被圆截得弦长;
(2)已知
为圆C上一点,求与圆C外切于点A,且半径为6的圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccdfd6d3e21084121ea5cd11b6b26e3.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2f82b347c40cd419a73bfbcb78071a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2024-01-20更新
|
256次组卷
|
3卷引用:上海市育才中学2023-2024学年高二上学期期末考试数学试卷
上海市育才中学2023-2024学年高二上学期期末考试数学试卷(已下线)第2章 圆锥曲线 单元综合检测(重点)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)广西壮族自治区百色市平果市铝城中学2023-2024学年高二下学期开学考试数学预测试题