题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-80551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-55720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-42030.png)
给出如下定义:若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-17840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-33906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-74587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-19858.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-72733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-33906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012727-74587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012728-22991.png)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012728-54196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012728-91983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012728-50418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012728-54196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012728-50418.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012728-77617.png)
解析
试题分析:∵C是直线y=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012729-32414.png)
∴设点C的坐标为(
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012729-83998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012729-21770.png)
此时,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012729-70234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012729-31180.png)
∴点C与点D的“非常距离”的最小值为:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012729-31180.png)
点评:对于信息给予题,一定要弄清楚题干中的已知条件.理解题中“非常距离”的定义是正确解题的关键。
核心考点
试题【在平面直角坐标系中,对于任意两点与的“非常距离”给出如下定义:若,则点与点的“非常距离”为,若,则点与点的“非常距离”为.已知是直线上的一个动点,点的坐标是(0】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-18311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-54848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-54848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-18311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-43495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-18311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-54848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-18311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-54848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-21585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-12961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012719-30653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012719-61624.png)
(1)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-43495.png)
(2)某日,研究人员在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-18311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-54848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-18311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012718-54848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012719-52990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012719-47125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012719-52990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012719-52990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-51671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-97738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-54043.png)
(1)求圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-51671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-37061.png)
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-41909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-79416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-37061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-51423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-30066.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-71064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-41909.png)
②若点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-52645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-78879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-43764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012703-12529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012703-19712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012703-99371.png)
(理)已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-65921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-82001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-81203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-85464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-56824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-85297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-40475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-24047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-75456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-66237.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-85464.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-82446.png)
(3)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-25850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-75456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012656-58651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012656-60482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012656-91356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012645-28671.png)
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