1 . 已知
是圆
上任意一点,点
的坐标为
,直线
分别与线段
交于
两点,且
,
.
(1)求点M的轨迹C的方程;
(2)直线
与轨迹C相交于
两点,设O为坐标原点,
,判断
的面积是否为定值?若是,求出定值,若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f907ad18841ebbeecc9ead925cb2ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97619e5903960a4d0dba05f553b3f624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407ac7e1807b3bfe7128c42a5e7922b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b800ce557136b897b05aab6c192eb339.png)
(1)求点M的轨迹C的方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc5bd66dd6d5e09ff0893a938aed56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a03fd02ebf5d4da6dbbe0765d39acc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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名校
2 . 已知动点
在椭圆
上,若点
的坐标为
,点
满足
,
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6663643c7eafdb5ef52636018dfb3c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5c475ec658c483dca45c469ab6401f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bacdfbfd7166f58f4a25e81ce5ef535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517a8041c31709c7ae8f2fb287c961db.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-05-10更新
|
2587次组卷
|
6卷引用:河北省石家庄市第一中学2017-2018学年高二下学期期中考试数学(文)试题
河北省石家庄市第一中学2017-2018学年高二下学期期中考试数学(文)试题内蒙古包头市北重三中2019-2020学年高二下学期期中考试数学(理科)试题河北省石家庄市2017届高三毕业班第二次模拟考试数学(文)试题(已下线)2018年高考二轮复习测试专项【新课标理科】热点十一 圆锥曲线中的综合问题(已下线)2018年高考二轮复习测试专项【新课标文科】热点十一 圆锥曲线中的综合问题(已下线)考点30 直线与圆锥曲线-2021年新高考数学一轮复习考点扫描
3 . 已知曲线
:
,
为坐标原点.
(1)当
为何值时,曲线
表示圆;
(2)若曲线
与直线
交于
两点,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3eaf44e8fac880eec239aa55846f767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b818e1793be8d9213e903e5224987a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0b06dc01c30d13f64be2ac6a1d811e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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