1 . 已知
,
两点的坐标分别为
,
,直线
,
相交于点
,且它们的斜率之积为
,设点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)设点
的坐标为
,直线
与曲线
的另一个交点为
,与
轴的交点为
,若
,
,试问
是否为定值?若是定值,请求出结果,若不是定值,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800c5e266b4ad8462a46970f0a232d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46b053f98b1d05a2043e94eeaefea87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354c3a283b2b21cc8ac33995aac20a5c.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)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17128891cb59b33c76a0208f0fbd4f74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f48f772f67a3f4503fed56843197b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
您最近一年使用:0次
2024-02-06更新
|
1112次组卷
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2卷引用:山东省滨州市2024届高三上学期期末数学试题
名校
2 . 已知圆
与圆
,圆
与圆
均相切,则圆
的圆心
的轨迹中包含了哪条曲线( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab7881fddb30cfd2e1c96c6ff1cda32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e000baac708ef9bfa035789b2c2d1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2873768ae11fc212fc1fbd9edbc85f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
A.圆 | B.椭圆 | C.双曲线 | D.抛物线 |
您最近一年使用:0次
2023-01-14更新
|
499次组卷
|
3卷引用:山东省滨州市滨城区北镇中学2023届高三下学期3月质量检测模拟数学试题
3 . 已知圆
,动圆M过点
且与圆C相切.
(1)求动圆圆心M的轨迹E的方程;
(2)假设直线l与轨迹E相交于A,B两点,且在轨迹E上存在一点P,使四边形OAPB为平行四边形,试问平行四边形OAPB的面积是否为定值?若是,求出此定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76eedccfe0b2fd16752d8652b21041a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66f2afb6c527010ce82f33d5c757bd6.png)
(1)求动圆圆心M的轨迹E的方程;
(2)假设直线l与轨迹E相交于A,B两点,且在轨迹E上存在一点P,使四边形OAPB为平行四边形,试问平行四边形OAPB的面积是否为定值?若是,求出此定值;若不是,请说明理由.
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2021-05-14更新
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6卷引用:山东省滨州市2021届高三二模(5月)数学试题
山东省滨州市2021届高三二模(5月)数学试题吉林省梅河口市第五中学2021-2022学年高二上学期第一次月考数学试题(已下线)专题16 圆锥曲线中综合问题-2022年高考数学毕业班二轮热点题型归纳与变式演练(新高考专用)山西省长治市上党区第一中学校2021-2022学年高二上学期10月月考数学试题辽宁省沈阳市第二中学2022-2023学年高二上学期第一次月考数学试题黑龙江省齐齐哈尔市实验中学2022-2023学年高二上学期第一次月考(9月)数学试题
名校
4 . 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.![]() |
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2020-12-04更新
|
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6卷引用:山东省滨州市惠民县2023-2024学年高二上学期期中数学试题