23-24高二上·上海·课后作业
1 . 动点
作匀速直线运动,它在
轴和
轴方向的分速度分别为9和12,运动开始时,点
位于
,求点
的轨迹的参数方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
23-24高二上·上海·课后作业
2 . 分别画出下列极坐标方程和直角坐标方程的图形:
(1)极坐标方程
和直角坐标方程
;
(2)极坐标方程
和直角坐标方程
.
(1)极坐标方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(2)极坐标方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905dd10639c9fef5ef8d66a124756140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
您最近一年使用:0次
23-24高二上·上海·课后作业
解题方法
3 . 设
、
是常数,参数方程
表示的是什么曲线?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5290f9adf5a0299dd6e8d17b6b2b84.png)
您最近一年使用:0次
4 . 把以下直角坐标系中的点化为极坐标(
,
)
(1)A(-1,1)______ (2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02385139d6d57d44dc4456fa15f7d70e.png)
______
(3)C(0,-1)______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7026315511e1afd55a97b5278b0dd2cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eec3e684af41f9ed4db5b931b9ccfb6.png)
(1)A(-1,1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02385139d6d57d44dc4456fa15f7d70e.png)
(3)C(0,-1)
您最近一年使用:0次
解题方法
5 . 在平面直角坐标系中,如果曲线
上任意一点的坐标
都是某个变量
的函数,
,
,并且对于
的每一允许值,由方程组(*)所确定的点
都在曲线
上,那么方程组(*)就叫做曲线
的参数方程,变量
叫做参变量或参变数,简称参数.例如,单位圆
的一个参数方程可以是
,
.已知
,
.
(1)若
,求
的值;
(2)求
与
的关系式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ef198be47a97bd779adb3f8b792833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aadb0dc16644a44c37d9463b8957faf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3fed67b296b0a67d49928dae7e4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02e39caaa7393864f656660d5dce9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a778794e844d82eec2efce68b9c5808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6712b250bc4218db31853e27b2828b35.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2329774440278b274651ca465704a856.png)
您最近一年使用:0次
6 . 圆心C的极坐标为
,且圆C经过极点.
(1)求圆C的极坐标方程;
(2)求过圆心C和圆与极轴交点(不是极点)的直线的极坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fda16b497a07e8f8db97074ec19b35.png)
(1)求圆C的极坐标方程;
(2)求过圆心C和圆与极轴交点(不是极点)的直线的极坐标方程.
您最近一年使用:0次
7 . 以双曲线
的左焦点为极点,x轴正方向为极轴方向(长度单位不变)建立极坐标系,求双曲线C的一条倾斜角为锐角的渐近线的极坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9efb02d672cf88d4c680cf585e1767.png)
您最近一年使用:0次
8 . 在极坐标系中,动点
从
出发,沿极轴
方向做匀速直线运动,速度为
,同时极轴
绕极点
按逆时针方向做等角速度旋转,角速度为
.则动点
的极坐标方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f50eb5fca7d0cd367d616742161a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d789eb81c3f3e241ba54e003f1659fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d99ef937823db2d4d3b1ae5af609eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
9 . 在极坐标系中,分别作出下列各点,并说明这些点有什么关系?
(1)
、
、
、
、
;
(2)
、
、
、
、
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26b6ea70eebe4b44915dfad6ddd5c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0afd749269a8021d17a0ea5fbbab0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed038f262b190896377860da3826fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0af7c7ee940ad355c24b21749dcf0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c90873031ebc847195d0ea8e1f4e57.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92e4d44c7391872cf29cc706168f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f92078c945d62f2ab38f82abb2b4fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef18b36f7ef0651860ca0b67b2eb5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112327cf24331337b8021f5351e11847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff82b208f7bbb9ec3443097b8c290998.png)
您最近一年使用:0次
10 . 下列方程可以作为x轴的参数方程的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次