名校
1 . 极坐标系的极点与直角坐标系的原点重合,极轴与
轴的正半轴重合.已知圆
和直线
.
(1)求圆
和直线
的直角坐标方程;
(2)当
时,求直线
与圆
公共点的一个极坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895b231da07fd9ee2c2d1b2f0992419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355001423621f905c48b3168129415dd.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef001eeef468ca21ac0cbb23fd135657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
您最近一年使用:0次
2 . 已知曲线C的极坐标方程是
.以极点为平面直角坐标系的原点,极轴为x轴的正半轴,建立平面直角坐标系,直线l的参数方程是
(t为参数),直线l与曲线C相交于A,B两点.
(1)求
的长;
(2)求点
到A,B两点的距离之积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427297bcd1da4ac8cc6174530225cdfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95bb1c2136835df6af14f5112269a42.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4f20bbf89bd5e1b1ee6e366482e76f.png)
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3 . 在平而直角坐标系
中,圆
的参数方程为
(
为参数).
(1)以原点为极点,
轴正半轴为极轴建立极坐标系,求圆
的极坐标方程;
(2)已知
,
,圆
上任意一点
,求
面积的最大值.
![](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/1159c170b9a99ac4ceb74baa3f3e5294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(1)以原点为极点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ce9e5907474ed87b694b9d62335dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427881503cfc8497586013694090571f.png)
您最近一年使用:0次
2020-06-24更新
|
483次组卷
|
10卷引用:江苏省盐城中学2020届高三下学期第一次模拟数学试题
江苏省盐城中学2020届高三下学期第一次模拟数学试题江西省信丰中学2020届高三上学期月考二数学(文)试题江西省上高二中2021届高三上学期第三次月考数学(文)试题(已下线)专题13.2 参数方程 (精练)-2021届高考数学(文)一轮复习学与练(已下线)专题13.2 参数方程 (精练)-2021年高考数学(理)一轮复习学与练陕西省榆林市子洲中学2018-2019学年高二下学期第二次月考数学(文)试题内蒙古赤峰二中2020-2021学年高二上学期期末考试数学(理)试题内蒙古赤峰二中2020-2021学年高二上学期期末考试数学(文)试题河南省重点中学新课标卷2021-2022学年高三上学期调研考试文科数学试题黑龙江省鸡西实验中学2020-2021学年高中教师命题大赛数学试题
2020高三下·江苏·专题练习
4 . 在极坐标系中,设直线
过点
,
,且直线
与曲线
有且仅有一个公共点,求正数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0bbd6c2a93abadcc9e684ca5390995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0cae0c061749d8810f95abd23024e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa95ee6c5bc06d96ae78fc155fe3d822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020高三下·江苏·专题练习
5 . 在平面直角坐标系xOy中,圆的参数方程为
(α为参数),以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系.求:
(1)圆的普通方程;
(2)圆的极坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5e1a55579ca43d6fb75a93ad2237d7.png)
(1)圆的普通方程;
(2)圆的极坐标方程.
您最近一年使用:0次
6 . 在直角坐标系
中,曲线
的参数方程是:
(
为参数).以
为极点,
轴正半轴为极轴,建立极坐标系,直线
的极坐标方程为
.若直线
与曲线
相交于
两点,且
,求实数
的值.
![](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/7369e2f0b23c7cbfcfddb9c81a881a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bca010f0b16ff5fad8c8aed01514d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355c8e295cd0e7895a7bcabb31ebcf13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7 . 在极坐标系中,已知两条曲线的极坐标方程分别为
与
,它们相交于A,B两点,求线段AB的中点M的极坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48517022bf22cbdac17edc6f69e323d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.png)
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8 . 在极坐标系中,已知点
,点B在直线
上.当线段
最短时,求点B的极坐标..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b849e26e3daf517eee4e028d2f49755b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7601d590b62ea8f74a7c0e624f375a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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9 . 在极坐标系中,曲线
:
,曲线
:
,曲线
相交于
两点.
(1)求曲线
、
的直角坐标方程;
(2)求弦
长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd7eb2643fcd0e79eaefe2680cd05df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e02ea9b3348231f0ab865d7ed871140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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10 . 已知极坐标系的极点与直角坐标系的原点重合,极轴与
轴的正半轴重合.若直线
的极坐标方程为
.
(1)把直线
的极坐标方程化为直角坐标方程;
(2)已知
为椭圆
:
上一点,求
到直线
的距离的最小值.
![](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/178d249d923f64e51ac742a37ce2f292.png)
(1)把直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知
![](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/cc603fea876cbf85b1efcb5bab0d500f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次