名校
解题方法
1 . 在平面直角坐标系xOy中,一动圆经过点F(2,0)且与直线
相切,设该动圆圆心的轨迹为曲线
.
(1)求曲线
的方程;
(2)过点M(m,0)(m>0)作两条互相垂直的直线
,且
与曲线
交于A,B两点,
与曲线
交于C,D两点,点P,Q分别为AB,CD的中点,求△MPQ面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)过点M(m,0)(m>0)作两条互相垂直的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
您最近一年使用:0次
2022-04-17更新
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1875次组卷
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10卷引用:山西省长治市上党区第一中学校2022届高三下学期期中数学(文)试题
山西省长治市上党区第一中学校2022届高三下学期期中数学(文)试题山西省晋城市2022届高三第二次模拟数学(理)试题山西省运城市2022届高三二模数学(理)试题山西省晋城市2022届高三第二次模拟数学(文)试题山西省运城市2022届高三二模数学(文)试题河南省汝州市2022届高三4月质量检测数学文科试题河南省汝州市2022届高三4月质量检测数学理科试题(已下线)回归教材重难点04 圆锥曲线-【查漏补缺】2022年高考数学(文)三轮冲刺过关(已下线)专题26 求动点轨迹方程 微点7 求动点轨迹方程综合训练(已下线)专题31 圆锥曲线的垂直弦问题-2
名校
解题方法
2 . 在平面直角坐标系中,动点
到定点
的距离比到
轴的距离大
,设动点
的轨迹为曲线
,分别过曲线
上的两点
,
作曲线
的两条切线
,且
交于点
,与直线
交于
两点
![](https://img.xkw.com/dksih/QBM/2022/2/12/2914933428068352/2917101347692544/STEM/5f7782c8-f257-466e-a50e-769471a6685f.png?resizew=155)
(1)求曲线
的方程;
(2)求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd9a9e0256221a95d6c31f1ff4ee631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad43fd96bf0f234fcb7de9e571d99db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ef0e343ccccfca525d9c3682936b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74584b38b99dfeebb1081ba81bd6ff22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/2022/2/12/2914933428068352/2917101347692544/STEM/5f7782c8-f257-466e-a50e-769471a6685f.png?resizew=155)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0023c9e8e0fec24d3aa77d09b2e4e62.png)
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