题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014156-17914.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014156-14640.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014156-11827.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-54228.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-52208.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-32157.gif)
…………5分
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-40849.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-93891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014158-18250.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014158-59089.gif)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014156-11827.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014158-17030.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014158-84823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014159-81582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014159-18702.gif)
化简得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014159-69407.gif)
上述为以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-54228.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-52208.gif)
解法二:设P,Q的坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014159-93795.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014200-93555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014200-72988.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014200-84296.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014200-10614.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014201-26944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014201-21917.gif)
若①和②的交点仍记为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014201-52105.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014201-12889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014202-36189.gif)
代入③和④,得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014202-88304.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014202-55723.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014202-81224.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014202-21951.gif)
联立上述两式,即得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014203-30753.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014203-97245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014203-29865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014203-35393.gif)
同理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014203-99073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014204-74094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014204-77602.gif)
再由⑤式,推出
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014204-31230.gif)
由上可得,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014204-14943.gif)
即有
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014159-69407.gif)
上述为以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-54228.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014157-52208.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014204-71494.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014151-27524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014151-45768.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014151-76851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014152-86532.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014152-72704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014151-76851.gif)
A.相交 | B.相切 | C.相离 | D.不确定 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014136-26374.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014136-45760.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014137-93993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014137-19724.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014136-45760.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014128-90500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014128-17058.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023014128-53956.gif)
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