1 . 已知定圆
,点A是圆M所在平面内一定点,点P是圆M上的动点,若线段
的中垂线交直线
于点Q,则点Q的轨迹可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d815b1dd40ac542b3a9d10584da5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
A.椭圆 | B.双曲线 | C.抛物线 | D.圆 |
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2024-01-04更新
|
1642次组卷
|
3卷引用:山东省招远市第二中学2023-2024学年高二上学期期末模拟数学试题
2 . 在平面直角坐标系中,已知点
,
,直线PA与直线PB的斜率乘积为
,点
的轨迹为
.
(1)求
的方程;
(2)分别过
,
做两条斜率存在的直线分别交
于C,D两点和E,F两点,且
,求直线CD的斜率与直线EF的斜率之积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd99c5000629d7f49499d666e68f40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)分别过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9d55173f26afdf0e37462b556a605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf5e7f1ff818bf543fdcd881b7c555d.png)
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2023-03-24更新
|
448次组卷
|
2卷引用:山东省烟台市龙口第一中学等校2023-2024学年高二上学期12月月考数学试题
3 . 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:山东省招远市第二中学2023-2024学年高二上学期期末模拟数学试题
名校
4 . 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
名校
解题方法
5 . 动点
与定点
的距离和
到定直线
的距离的比是常数
.
(1)求动点
的轨迹方程;
(2)设
,点
为
轨迹上一点,且
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f597be718089b2b0a36c5a5e104980aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1696272a43d0fbdc9dc34f2d106baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c75168a3141c9cdebf4ca1c043e46b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d124b231bf2cd3746f35e6c68cd7178f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.png)
您最近一年使用:0次
6 . 公元前300年左右,欧几里得在他的著作《几何原本》中描述了圆锥曲线的共性,并给出了圆锥曲线的统一定义:已知平面内一定直线
和线外一定点
,从平面内的动点
向直线
引垂线,垂足为
,若
为定值,则动点
的轨迹为圆锥曲线. 已知
,直线
,若
,则点
的轨迹为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4d843b6f0a8f30d0171514829b34b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498bcb14b1ec9132da3f36ab9d3cd0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.圆 | B.椭圆 | C.双曲线的一支 | D.抛物线 |
您最近一年使用:0次