名校
1 . 已知
,
关于直线
对称的圆记为
,点E,F分别为
,
上的动点,EF长度的最小值为4,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff6382bad1c23c5f04673aeb61f56c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc12f09651ddf5bfd6f527ec691feaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-03-03更新
|
1396次组卷
|
4卷引用:福建省福州市普通高中2023届高三毕业班质量检测(二检)数学试题
解题方法
2 . 已知直线
:
,
:
,圆C:
,若圆C与直线
,
都相切,则下列选项一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2297db3c14c256b9691fbb8e5bba978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8bf4c5441af2933c5bd4422b3dfad28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e885d3743ae3d9f0fbd740b75f900083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
A.![]() ![]() ![]() |
B.若圆C的圆心在x轴上,则圆C的半径为3或9 |
C.圆C的圆心在直线![]() ![]() |
D.与两坐标轴都相切的圆C有且只有2个 |
您最近一年使用:0次
2023-03-01更新
|
1669次组卷
|
3卷引用:广东省汕头市2023届高三第一次模拟数学试题
3 . 设m,
,曲线C:
,则下列说法正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9197f3ef31695a5639b14745abe5349a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2085af2326d0e13a12d3db8dbb79f51.png)
A.曲线C表示双曲线的概率为![]() | B.曲线C表示椭圆的概率为![]() |
C.曲线C表示圆的概率为![]() | D.曲线C表示两条直线的概率为![]() |
您最近一年使用:0次
2023-02-28更新
|
491次组卷
|
3卷引用:陕西省宝鸡市2023届高三二模理科数学试题
4 . 圆
与x轴交于A,B两点(A在B的左侧),点N满足
,直线
与圆M和点N的轨迹同时相切,则直线l的斜率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac37d01cc59acf893ce3083219b489f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b276f739bbc3080d68d0f2e599c7a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125d7a3870ca37c558239a45214d3568.png)
您最近一年使用:0次
5 . 已知圆
,点
,点
在圆
上,
为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fe27e6b29a9e48ddfbbe79206ffa36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8c39de4d7d1277da346b51b5bd2499.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/1dde8112e8eb968fd042418dd632759e.png)
A.线段![]() | B.当直线![]() ![]() ![]() |
C.以线段![]() ![]() | D.![]() |
您最近一年使用:0次
6 . 已知曲线
与曲线
,长度为1的线段AB的两端点A、B分别在曲线
、
上沿顺时针方向运动,若点A从点
开始运动,点B到达点
时停止运动,则线段AB所扫过的区域的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e6113774add630fb87f541984d14f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64ba826dfc4aa28922816ade74d2432.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/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb374fd349306abf2f784b6a28d93a7.png)
您最近一年使用:0次
2023-02-21更新
|
738次组卷
|
2卷引用:上海市黄浦区2023届高三上学期一模数学试题
名校
解题方法
7 . 设
,
,
,O为坐标原点,则以
为弦,且与AB相切于点A的圆的标准方程为____ ;若该圆与以OB为直径的圆相交于第一象限内的点P(该点称为直角△OAB的Brocard点),则点P横坐标x的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c38d63cda0eea1cb7afbf4bbe86ffba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
您最近一年使用:0次
2023-02-17更新
|
2591次组卷
|
2卷引用:广东省深圳市2023届高三第一次调研数学试题
名校
解题方法
8 . 已知抛物线
,点
在C上,A关于动点
的对称点记为M,过M的直线l与C交于
,
,M为P,Q的中点.
(1)当直线l过坐标原点O时,求
外接圆的标准方程;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df40ba57bb5819b4aaa38d514500052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dab74e16403e8131f9f5b2a74f3a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f4d79c7c88e15d4e2f20f112d88a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
(1)当直线l过坐标原点O时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
您最近一年使用:0次
2023-02-15更新
|
673次组卷
|
3卷引用:安徽省蚌埠市2023届高三下学期第二次教学质量检查数学试题
安徽省蚌埠市2023届高三下学期第二次教学质量检查数学试题江苏省南京市第二十九中学2022-2023学年高二下学期3月月考数学试题(已下线)专题10 圆锥曲线综合大题10种题型归类-【寒假分层作业】2024年高二数学寒假培优练(人教A版2019选择性必修第一册)
解题方法
9 . 已知
,
,动点P满足
.设点P的轨迹为曲线C,直线l:
与曲线C交于D,E两点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed879edb2c22431a1c74f9b20584f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a48d236c6ae93126c845c12e623838dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed671fcc82d8da50804b8cce49fd7122.png)
A.曲线C的方程为![]() | B.![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
您最近一年使用:0次
2023-02-10更新
|
782次组卷
|
2卷引用:百师联盟2023届高三上学期数学1月联考试题
22-23高三·河北·阶段练习
名校
解题方法
10 . 图为世界名画《蒙娜丽莎》.假设蒙娜丽莎微笑时的嘴唇可看作半径为
的圆
的一段圆弧
,且弧
所对的圆周角为
.设圆
的圆心
在点
与弧
中点的连线所在直线上.若存在圆
满足:弧
上存在四点满足过这四点作圆
的切线,这四条切线与圆
也相切,则弧
上的点与圆
上的点的最短距离的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c48e8b4a3e2ef13de1ad88f8ed2b4ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次