题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014835-22321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014835-99353.png)
(1)求C的参数方程;
(2)设点D在C上,C在D处的切线与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-42786.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-97746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-60215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-38497.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-18794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-97746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-60215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-80462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-54651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-93649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-88999.png)
试题解析:(1)设点M
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014838-65463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014835-22321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-18794.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014838-35818.png)
所以C的参数方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-97746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-60215.png)
(2)设D点坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-80462.png)
因为C在点D处的切线与
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-54651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-54651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-93649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014837-88999.png)
故D点的直角坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014838-41086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014836-38497.png)
【易错点】对第(1)问,极坐标与普通方程、参数方程之间的互化,有一部分学生不熟练而出错;对第(2)问,不理解题意而出错.
核心考点
试题【在直角坐标系xoy中,以坐标原点为极点,x轴为极轴建立极坐标系,半圆C的极坐标方程为,.(1)求C的参数方程;(2)设点D在C上,C在D处的切线与直线垂直,根据】;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/20191108/20191108014829-24079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014829-14079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014830-63961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014830-35525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014830-11220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014830-31383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014811-95760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014811-42867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014811-57844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014811-95171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014811-83246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014812-74701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014811-95760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014811-83246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014812-23415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014759-19341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014759-50556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014759-63992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014800-83532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014800-85800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014800-79425.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014801-29204.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014753-88191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014753-49341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014753-25363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014749-39592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108014750-18020.png)
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