题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150729-43710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150729-99313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150729-78847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150729-27781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150730-27235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150730-90758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150730-61168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150730-93514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150730-84527.png)
答案
解析
试题分析:由题意点E(a,a),点F(2b,-b),∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150729-78847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150731-67691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150730-93514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150731-83886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150731-40695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150732-70868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150730-84527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150732-61359.png)
点评:根据直线方程特点巧设点的坐标,然后利用向量的坐标运算求解
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150723-40886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-37785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-18404.png)
(1)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-19804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-47210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-19804.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-61348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-47210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150714-73391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150714-93168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150713-61348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-70702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-13962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-90678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-32452.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-70702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-90678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-70702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150707-90678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150650-77472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150651-74480.png)
(1)求证:不论实数
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150651-18324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150650-77472.png)
(2)为使直线不经过第二象限,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150651-18324.png)
(3)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150650-77472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022150650-77472.png)
(Ⅰ)证明:直线l1与l2相交;(Ⅱ)试用解析几何的方法证明:直线l1与l2的交点到原点距离为定值.(Ⅲ)设原点到l1与l2的距离分别为d1和d2求d1+d2的最大值
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