1 . 已知曲线
的参数方程为
(
为参数),射线
的极坐标方程为
,直线
与曲线
相交于
、
两点,以
极点为原点,极轴为
的非负半轴建立平面直角坐标系.
(1)求曲线
的极坐标方程;
(2)记线段
的中点为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913ec2f4ae5b002535db513d55cdbaad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92f0e088aba5dc26a89f49755e980b7.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)记线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f645d4b09fba53f971172cd2602c691.png)
您最近一年使用:0次
2020-04-16更新
|
263次组卷
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2卷引用:四川省绵阳南山中学实验学校2019-2020学年高二下学期开学考试数学(理)试题
2 . 在平面直角坐标系xOy中,曲线
的参数方程为
(t为参数).以坐标原点为极点,x轴正半轴为极轴建立极坐标系,直线l的极坐标方程是
,曲线
的极坐标方程是
.
(1)求直线l和曲线
的直角坐标方程,曲线
的普通方程;
(2)若直线l与曲线
和曲线
在第一象限的交点分别为P,Q,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa45b8f0f6dd00fe980ed9bead3bc9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfe7fe49af1e25453d43b64fb80052b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842158107f8f1ee19978c097de3fe87b.png)
(1)求直线l和曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若直线l与曲线
![](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/eb5e43e026ddf27fa210372532abb8d6.png)
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2020-05-06更新
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327次组卷
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5卷引用:四川省泸县第一中学2019-2020学年高二下学期期末模拟考试数学(理)试题
名校
3 . 已知曲线
的方程为
,
的方程为
,
是一条经过原点且斜率大于
的直线.
(1)以直角坐标系原点
为极点,
轴正方向为极轴建立极坐标系,求
与
的极坐标方程;
(2)若
与
的一个公共点
(异于点
),
与
的一个公共点为
,当
时,求
的直角坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383fcc122f267043fbafe0972bfb900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c960fc862fd36db83082f5c50cd604b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(1)以直角坐标系原点
![](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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468d119362b0d924a6adbab0ad3cbfc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
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2019-12-23更新
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310次组卷
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2卷引用:四川省成都市树德中学(宁夏校区)2022-2023学年高二下学期4月月考数学(文)试题
名校
4 . 在极坐标系中,由三条直线
,
,
围成的图形的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcca436b9f38396dafd79f5e302a6a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e40113e38395047716ff4a4030fee3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-10-14更新
|
1156次组卷
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4卷引用:四川省电子科技大学实验中学2019-2020学年高二下学期期中数学(理)试题
四川省电子科技大学实验中学2019-2020学年高二下学期期中数学(理)试题山西省朔州市怀仁第一中学2018-2019学年高二下学期期末考试数学(理)试卷甘肃省甘南藏族自治州合作第一中学2018-2019学年高二下学期期中考试数学(文)试题(已下线)狂刷57 坐标系与参数方程-学易试题君之小题狂刷2020年高考数学(理)