1 . 在直角坐标系
中,曲线
的参数方程为
(
为参数).以坐标原点为极点,
轴正半轴为极轴建立极坐标系,直线
和
的极坐标方程分别为
和
和
与曲线
分别相交于
两点(
两点异于坐标原点).
(1)求
的极坐标方程;
(2)求
的面积.
![](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/c2c4e4f93c2211f5a7bdd51760b7b614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a40d2cf43fce0c99dff3470d554eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3f2e3a093c2b85098f01618a8f9661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
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2023-06-28更新
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5卷引用:四川省成都市锦江区嘉祥外国语高级中学2023届高三下学期三诊模拟考试(理科)数学试题
2 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数).以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,直线l的极坐标方程为
.
(1)求曲线
的极坐标方程;
(2)若直线
与曲线
交于
两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34aa25192235cff605c824ab75e5bed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ee98ee1a893dbbd2bf716c344bb0ee.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2caac14fd6f2f4d683f734d6a1b4a155.png)
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2023-05-29更新
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5卷引用:四川省成都市双流区永安中学2022-2023学年高二下学期零模模拟考试数学试题
3 . 在平面直角坐标系xOy中,已知直线
与曲线
,(t为参数).以坐标原点O为极点,x轴正半轴为极轴建立极坐标系.
(1)求曲线C的普通方程;
(2)在极坐标系中,射线
与直线l和曲线C分别交于点A,B,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0cde35993e9eec00408165bcfbbcef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d3d281540a88442cb2933991de0d1d.png)
(1)求曲线C的普通方程;
(2)在极坐标系中,射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57044a8ed7482bd51a0629762d7a74ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece140079b3ed0c1423cc7fdf1b3488b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2023-03-23更新
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3卷引用:四川省成都市石室中学2022-2023学年高三下学期二诊模拟考试文科数学试题
名校
4 . 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)
您最近一年使用:0次
2019-12-23更新
|
309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