题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020356-27043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020356-89668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020357-38924.png)
(1)将曲线C的极坐标方程化为直角坐标方程,将直线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020357-72615.png)
(2)若直线l与曲线C相交于A、B两点,且
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020357-63855.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020357-68142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020357-93597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020358-62672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020358-84669.png)
解析
试题分析:本题考查直角坐标系与极坐标系之间的互化、参数方程与普通方程的转化、参数的几何意义等基础知识,考查学生的转化能力和计算能力.第一问,利用极坐标方程与直角坐标方程之间的转化公式
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020358-70993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020358-64764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020359-87152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020359-51277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020359-77171.png)
试题解析:(I)曲线C的极坐标方程是
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020359-36928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020400-54295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020400-61471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020400-54114.png)
(2):把
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020400-38553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020400-34246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020400-54295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020401-92102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020401-43896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020401-53018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020401-20984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020401-53018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020402-97909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020402-44994.png)
核心考点
试题【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:(是参数).(1)将曲线C的极坐标方程化为直】;主要考察你对极坐标与直角坐标等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020352-78072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020352-29800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020345-66699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020346-66839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020346-22418.png)
(1)把圆C的极坐标方程化为直角坐标方程;
(2)将直线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020345-66699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020346-33266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020342-72166.png)
(1)求点Q的轨迹C2的方程;
(2)在以O为极点,x轴的正半轴为极轴(两坐标系取相同的长度单位)的极坐标系中,N为曲线p=2sinθ上的动点,M为C2与x轴的交点,求|MN|的最大值.
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020335-97968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020335-86791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020335-97371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020330-63524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020330-36276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020330-31177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020330-47584.png)
(1)化圆C的参数方程为极坐标方程;
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020331-11194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108020331-11194.png)
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