名校
解题方法
1 . 已知圆
,直线
交圆
于
两点,点
,则三角形
面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65739ec9fa51a20acb1b327c4d18e003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c9f25703e265026af2d481e64414d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
A.6 | B.9 | C.![]() | D.![]() |
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2 . “曼哈顿距离”是人脸识别中一种重要的测距方式.其定义如下:
设
是坐标平面内的两点,则A,B两点间的曼哈顿距离为
.
在平面直角坐标系中
中,下列说法中正确说法的序号为__________
①.若
,则
;
②.若O为坐标原点,且动点P满足:
,则P的轨迹长度为
;
③.设
是坐标平面内的定点,动点N满足:
,则N的轨迹是以点
为顶点的正方形;
④.设
,则动点
构成的平面区域的面积为10.
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093c6d5bcaa69cea79b24688f5d1bd97.png)
在平面直角坐标系中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
①.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ccf6769201c55ae5ae826d00f8bcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab82a9c913753411e77ca39282192441.png)
②.若O为坐标原点,且动点P满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323425fb46a89bf5305ee1c2d700de5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
③.设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7b255e6a8bb6fd15cc744d35786b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bcedf33c8b82facbef6cd87a2d3a88.png)
④.设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5292a8e4c2c929876c42c9cfabf1244f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
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3 . 已知圆C和直线
,若圆C的圆心为(0,0),且圆C经过直线
和
的交点.
(1)求圆C的标准方程;
(2)过定点(1,2)的直线l与圆C交于M,N两点,且
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bf2e9e46e3b9fab94b95ce6290fc64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)求圆C的标准方程;
(2)过定点(1,2)的直线l与圆C交于M,N两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b0dfa6898f9560ab8a5e5905c1f81f.png)
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名校
解题方法
4 . 双曲线
的两条渐近线与圆
没有公共点,则实数m的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421d518bbdc7ecbb69bd8b6eb697ce4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b94cc0e4ee96321f89073c6e57658.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-10更新
|
238次组卷
|
2卷引用:四川省成都市蓉城名校联盟2023-2024学年高二下学期开学考试数学试题
解题方法
5 . 已知
是双曲线
的右焦点,过
作与
轴垂直的直线与双曲线交于
两点,过
作一条渐近线的垂线,垂足为
,若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b967a847d0ee17f569cf80ab502d7492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926c4e7085c0ab52ad9329dd5c22b6f6.png)
A.2 | B.![]() | C.![]() | D.![]() |
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名校
6 . 已知集合
(
).对于
,
,定义
;
(
);
与
之间的距离为
.
(1)当
时,设
,
.若
,求
;
(2)证明:若
,且
,使
,则
;
(3)记
.若
,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e423803a7eceeb306d9020fdb86ddc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb4290cab93c0521d2596031625448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d22720c8b8fbbf1b8e4406400b135f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6870f397a858ad814f76f6e7af90516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83919f9b83559bd5d1db0b9256a2524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.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/e98dfd60dfa6fc13400680e44a28c2b5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af388e3a6185f4e6e2a7db5dba6e1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f68a89451ca87d57d88d786c23d484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f6e0e6a7cd9b3ec681407e10b44901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(2)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81345ca73b711411e665820b5672913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559305e1e35d369f1d056bb4191a23aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a14234249447bcb6ea7c44050f1e846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3153bbcedc215adf208c82b65c8e6eff.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/003fbb029cdb6d5d7f93e29dca371f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af068ef61f891465ccee0d9dd451ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b39ca902e466d5b24d13846b3bc4a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
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7 . 直线
与圆
相交于
两点,且
,则实数
的值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19efd2f2662ca444c784b69e35f53120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2024-04-04更新
|
386次组卷
|
2卷引用:四川省眉山市仁寿第一中学校南校区2023-2024学年高二下学期3月月考数学试题
名校
8 . 若点
,则
两点间距离
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cac0ba11ece1ce95ea5e175ebacd909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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解题方法
9 . 曲线关于
对称后的曲线为
,则
公切线为( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 若点P是曲线
上任意一点,则点P到直线
的最小距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ab23b2ddb58264d8b2661f13d5d11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026808536f6b6d265c778e23836fbf13.png)
A.1 | B.![]() | C.![]() | D.![]() |
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2024-03-27更新
|
740次组卷
|
2卷引用:四川省达州市高级中学校2023-2024学年高二下学期3月月考数学试题