题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014115-31851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014115-10709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-10367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-98975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-93581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-11635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014117-30500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014117-38820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014117-14731.png)
(3)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014117-92775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014117-84180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-93581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014117-84180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-10104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-21462.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-45006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-40109.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-39536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-21462.png)
解析
试题分析:(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-65576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-67700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-45006.png)
(2)因为根据向量的关系式,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-96428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-76057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-32747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-40379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-52565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-40109.png)
(3)对参数k,分情况讨论,当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-40109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-39122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-54934.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-39737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-40379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-80088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-38119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014122-26853.png)
解:(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-65576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-67700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-45006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014122-12483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014116-52000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-45006.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-96428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-76057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-32747.png)
所以圆心到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-40379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-52565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-40109.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-40109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-39122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-54934.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-39737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014120-40379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-80088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014121-38119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014122-26853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014122-59971.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014122-27563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014123-12850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-39536.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-39536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014123-58946.png)
综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014119-39536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014118-21462.png)
点评:解决该试题的关键是设出所求点满足的关系式,化简得到轨迹方程,同时利用联立方程组的思想得到长度和面积的表示。
核心考点
试题【(本题10分)已知,动点满足,设动点的轨迹是曲线,直线:与曲线交于两点.(1)求曲线的方程;(2)若,求实数的值;(3)过点作直线与垂直,且直线与曲线交于两点,】;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/20191026/20191026014104-37674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014104-79383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014104-93283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014105-99148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014105-21611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014105-99684.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014105-22926.png)
(Ⅱ)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014106-84237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014105-22926.png)
的圆 过椭圆的右焦点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014106-38861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014106-69926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014058-94269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014058-21329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014058-12787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014058-90148.png)
A.-3 | B.9 |
C.-15 | D.-7 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014053-59807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014053-79990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014053-68088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014053-77329.jpg)
A.8 B.4 C.2 D.1
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-83610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-26460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-73976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-18993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-55146.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-83610.png)
(Ⅱ)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-78956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014041-83610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014042-36860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014042-71438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014042-44980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014042-69379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014036-34289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014036-27342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014036-48518.png)
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