1 . 极坐标系与直角坐标系xOy有相同的长度单位,以原点O为极点,以、轴正半轴为极轴.已知曲线
的极坐标方程为
,曲线
的极坐标方程为
,射线
,
,
与曲线
分别交于异于极点O的四点A,B,C,D.
(1)若曲线
关于
对称,求
的值,并求
的参数方程;
(2)若
|,当
时,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c0a720fbbba3579a8d82ed02fe05d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df88722180153fcb77e0011df198f3b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe0bb0adb8359a0ddcfe66f2fd6fb67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc0b99b34444ed947ed29cbf17adc7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4d54e52b60aaeb30ac5b11791b9e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e63cd3cb70d40ba856c01f2495357f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
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名校
解题方法
2 . 已知曲线
的极坐标方程为
直线
:直线
.以极点O为原点,极轴为
轴的正半轴建立平面直角坐标系.
(1)求直线
的直角坐标方程以及曲线
的参数方程;
(2)已知直线
与曲线
交于
两点,直线
与曲线C交于
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999d98b1059942d7c8100d9a3d6bb889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c34f275b16718bad93b91424e94ae75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b982bf4eba6d67b3742f73e49854990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4fb814dbdd5dc584a06be40da14146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c17ca68fac997aec7dd0e3369c647eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b13c8433466d367088d34109ecfb90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a9354a07397b21c33820fc2590e814.png)
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2020-08-16更新
|
83次组卷
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10卷引用:2019届湖北省黄冈市高三下学期3月调研考试数学(文)试题
2019届湖北省黄冈市高三下学期3月调研考试数学(文)试题2019届湖北省黄冈市高三下学期3月调研考试数学(理)试题黑龙江省哈尔滨市第九中学2019-2020学年高三上学期第一次月考数学文科试题辽宁省实验中学2020届高三下学期第下学期五次模拟考试数学理科试卷辽宁省实验中学2020届高三下学期学期第下学期五次模拟考试数学文科试卷(已下线)专题22 坐标系与参数方程-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题22 坐标系与参数方程-2020年高考数学(文)母题题源解密(全国Ⅱ专版)辽宁省锦州市黑山县黑山中学2020届高三下学期考前模拟训练数学(文)试题辽宁省锦州市黑山县黑山中学2020届高三下学期考前模拟训练数学(理)试题贵州省黔西南州金成实验学校2021-2022学年高二下学期4月月考文科数学试题
名校
3 . 在直角坐标系
中,圆
的普通方程为
.在以坐标原点为极点,
轴正半轴为极轴的极坐标系中,直线
的极坐标方程为
.
(1)写出圆
的参数方程和直线
的直角坐标方程;
(2)设点
在
上,点Q在
上,求
的最小值及此时点
的直角坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578541d51942c4f9d3d089e4e7f052a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876e56dc68ef8892a0a7190f388a7574.png)
(1)写出圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2020-01-29更新
|
603次组卷
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5卷引用:湖北省黄冈中学2020届高三下学期冲刺卷(二)理科数学试题
解题方法
4 . 已知曲线
的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd3ce3c199186019d1922fdef184324.png)
(1)将极坐标方程化为普通方程;
(2)若点
在该曲线上,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd3ce3c199186019d1922fdef184324.png)
(1)将极坐标方程化为普通方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97cf34c4d98304f3fd6a06cbbaf0a0ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
您最近一年使用:0次
5 . 以坐标原点
为极点,以
轴正半轴为极轴,建立极坐标系,已知曲线
的极坐标方程为
,将曲线
:
(
为参数),经过伸缩变换
后得到曲线
.
(1)求曲线
的参数方程;
(2)若点
的曲线
上运动,试求出
到直线
的距离的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49f619e86d0bd6e4210c004d718c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a682446175c3ff06919f64a94ac597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a91a72435f1cebe358ef05499010d43a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2017-02-16更新
|
2863次组卷
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6卷引用:2016届湖北武汉华中师大一附等高三上第一次联考理数学卷