题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021645-58640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021645-27174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-76654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-53895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-37105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-89109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-41630.png)
(Ⅰ)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021645-27174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021647-28761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021647-45145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021647-75121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021647-81735.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021647-99752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021648-63122.png)
解析
试题分析:(Ⅰ)直接根据极坐标方程与直角坐标的转换关系式
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021648-37771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021645-27174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-53895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021648-72020.png)
试题解析:(Ⅰ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-41630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021648-84787.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021649-99064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021649-29817.png)
对应直角坐标方程为:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021647-99752.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021649-20920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021649-80432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021647-99752.png)
∴曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021650-15096.png)
(Ⅱ)把直线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021645-27174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-43419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021650-90016.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021650-90158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021650-10941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021651-76850.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021651-65056.png)
∵直线
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021645-27174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021651-22632.png)
∴由
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021646-53895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021651-38357.png)
核心考点
试题【在平面直角坐标系中,直线的参数方程为:(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,曲线的极坐标方程为.(Ⅰ)求曲线的平面直角坐标方程;(Ⅱ)设直】;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/20191108/20191108021636-80281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021636-24850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021636-36366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021625-54677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021625-73915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021626-35718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021626-29237.png)
(I)求曲线C的直角坐标方程;
(II)设直线l与曲线C相交于A、B两点,当a变化时,求|AB|的最小值.
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021616-83972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021617-20433.png)
(Ⅰ)求曲线C的直角坐标方程;
(Ⅱ)设直线与曲线C相交于M,N两点,求M,N两点间的距离.
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021612-59516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021604-14584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021604-49646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108021604-15835.png)
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