题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
答案
解析
∵a∥b,b≠0,a≠0,∴存在实数m,使得a=mb,
即a=(x1,y1)=(mx2,my2),
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
=(m
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
∴(
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
而b≠0,∴(
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104010-67925.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103959-74175.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103959-30115.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104000-64558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104000-58617.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103959-30115.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104000-72974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104000-58617.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104000-28918.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104000-72974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104000-28918.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103104001-87205.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103949-35192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103950-82498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103950-66927.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103950-18770.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103950-83860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103951-45937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103951-49258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103951-11920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103951-33799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103952-67983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103950-66927.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103950-18770.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103941-94379.gif)
(1)当a//b时,求
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103941-98383.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103942-25532.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103937-50445.gif)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103103928-69075.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
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