1 . 已知O为坐标原点,定点
,定直线
,动点P到直线的距离设为d,且满足:
.
(1)求动点P的轨迹曲线W的方程.
(2)若直线
与曲线W交于A,B两点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5a7572674db39a70a6d9a72c56a103.png)
(1)求动点P的轨迹曲线W的方程.
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b431c8f73bcf2bf59b0568c4ca9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2022-11-10更新
|
492次组卷
|
3卷引用:山东省青岛市青岛第一中学2019-2020学年高二上学期期中数学试题
2 . 如果点
在运动过程中,总满足关系式
,记满足此条件的点M的轨迹为C,直线
与C交于D,E,已知
,则
周长的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb3d5883f4b0a7f63dff288d691b0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
2022-02-13更新
|
490次组卷
|
4卷引用:山东省菏泽市2021-2022学年高二上学期期末数学试题
名校
3 . 设
是圆
:
上的一动点,定点
,线段
的垂直平分线交线段
于
点,则
点的轨迹方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98040ab4583f2ee60436cccae2c7b7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac4ec5701547d4c4de88a03e584f66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-12-04更新
|
1127次组卷
|
6卷引用:山东省临沂市2020-2021学年高二上学期期中数学试题
4 . 如图,已知动圆
过点
,且与圆
内切于点
,记动圆圆心
的轨迹为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/8411102c-95e7-4a51-9428-c933610bf767.png?resizew=148)
(1)求
的方程;
(2)过点
的直线
交
于
、
两点,是否存在实数
,使得
恒成立?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23c80a66812d5f80beb5013bc0ec14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/8411102c-95e7-4a51-9428-c933610bf767.png?resizew=148)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bc8a05973277d45cf7e0aa992d47dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2022-12-11更新
|
464次组卷
|
2卷引用:山东省菏泽市定陶区定陶区明德学校(山大附中实验学校)2022-2023学年高二上学期期中数学试题
名校
解题方法
5 . 在平面直角坐标系xOy中,动圆P和圆
:
内切,且与圆
:
外切,记动圆P的圆心轨迹为E.
(1)求轨迹E的方程;
(2)若直线l:
与E交于不同的两点M、N,线段MN的中点记为A,且线段MN的垂直平分线过定点
,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91f4e726059665d140de82d9b105c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5ce71568a10700c5d9e813fa8e6c49.png)
(1)求轨迹E的方程;
(2)若直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5464dc3bd349a216296fbaa879ae47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338d4de5108a28a7ea90a9cda09fea07.png)
您最近一年使用:0次
2022-11-14更新
|
464次组卷
|
3卷引用:山东省菏泽市郓城县郓城第一中学2022-2023学年高二上学期期中数学试题
名校
解题方法
6 . 如图,已知圆
,动圆P过点
且与圆
内切于点N,记动圆圆心P的轨迹为E.
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896491209203712/2897153509408768/STEM/a977c1a7-866e-4ced-bdbf-a11e275b263e.png?resizew=237)
(1)求E的方程;
(2)过点
的直线l(不与x轴重合)与E交于A,B两点,点C与点B关于x轴对称,直线AC与x轴交于点Q,已知点
,试问
是否为定值?若是,请求出该定值,若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdce30be741dc229f1c6b7fb86b1bb63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc26e1d9bb89a18781de2de48e5aed85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896491209203712/2897153509408768/STEM/a977c1a7-866e-4ced-bdbf-a11e275b263e.png?resizew=237)
(1)求E的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfdecc11875b2e969ddc9c5861e1cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854390524d8a76983fa263094df4a548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0423aaabe32062338cfbb250eb08c8.png)
您最近一年使用:0次
2022-01-18更新
|
480次组卷
|
3卷引用:山东省潍坊市2021-2022学年高二上学期期末数学试题
名校
7 . 已知点
,动点P到直线
的距离为d,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f49644cd9fa4688cc3a74a234952530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a85a6d7d1a5968cebef5e50ab872cf9.png)
A.点P的轨迹是以![]() | B.点P的轨迹曲线的离心率等于![]() |
C.点P的轨迹方程为![]() | D.△![]() ![]() |
您最近一年使用:0次
8 . 已知圆
和定点
,平面上一动点
满足以线段
为直径的圆内切于圆
,动点
的轨迹记为曲线
.
(1)求曲线
的方程;
(2)直线
与曲线
交于不同两点
、
,直线
,
分别交
轴于
,
两点.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de33d0ffb95c8bd5971976e66629e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/d33091c6dcc5e3c822fa3242c9437aee.png)
您最近一年使用:0次
2020-12-01更新
|
994次组卷
|
6卷引用:山东省菏泽市2020-2021学年高二(上)期中数学试题(b卷)
山东省菏泽市2020-2021学年高二(上)期中数学试题(b卷)福建省泉州市2020-2021学年高二上学期期中考试数学试题(B)江苏省无锡市天一中学2021-2022学年高二上学期第一次教学质量监测数学试题山东省临沂市临沭县临沭第一中学2022-2023学年高三下学期4月月考数学试题(已下线)对点练63 圆锥曲线中定值定点等问题-2020-2021年新高考高中数学一轮复习对点练(已下线)专题29 圆锥曲线求定值七种类型大题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)
21-22高二·江苏·单元测试
名校
解题方法
9 . 已知
,
,
,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888a6b10db4d81e5d2ba969fb576bd78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbedd8668277f5e33aa06e77960800a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28965097a2c8f6872accc5ba80f44dfd.png)
A.若P到A,B距离之和为6,则点P的轨迹为椭圆 |
B.若P到A,B距离之差为3,则点P的轨迹为双曲线 |
C.椭圆![]() ![]() ![]() ![]() |
D.渐近线为![]() ![]() |
您最近一年使用:0次
2022-01-03更新
|
445次组卷
|
4卷引用:山东省青岛第六十七中学2022-2023学年高二上学期期中数学试题
山东省青岛第六十七中学2022-2023学年高二上学期期中数学试题(已下线)专题03 《圆锥曲线与方程》中的易错题(1)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) 江苏省连云港市四校(新浦中学、海滨中学、锦屏高级中学、开发区高级中学)2022-2023学年高二上学期期中联考数学试题江苏省苏州市黄埭中学2023-2024学年高二上学期12月月考调研数学试题
10 . .如图,已知
是椭圆
的左、右焦点,
是椭圆
上任意一点,过
作
的外角的角平分线的垂线,垂足为
,则点
的轨迹为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/0c4f9e62-a080-46f2-bba2-dc652c684bd3.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b76e364a93cd78537c6c97b88021f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/0c4f9e62-a080-46f2-bba2-dc652c684bd3.png?resizew=161)
A.直线 |
B.圆 |
C.椭圆 |
D.抛物线 |
您最近一年使用:0次
2019-10-10更新
|
1525次组卷
|
5卷引用:山东省淄博市2019-2020学年高二上学期期中数学试题
山东省淄博市2019-2020学年高二上学期期中数学试题江西省南昌市第二中学2019-2020学年高二上学期10月月考数学(文)试题人教A版(2019) 选择性必修第一册 过关斩将 全书综合测评(已下线)本册综合检测试卷-2021-2022学年高二数学同步练习和分类专题教案(人教A版2019选择性必修第一册)(已下线)3.1 椭圆-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)