题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-66552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-30970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-54977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-33694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-41792.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-19161.png)
②若向量
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-41792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-19161.png)
③若向量
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-41792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-19161.png)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-16557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-11556.png)
答案
解析
试题分析:由定义
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-30970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-54977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082520-78642.png)
两向量共线则有
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082520-58567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-19161.png)
若向量
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-41792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-54977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082520-26004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082520-58567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-41792.png)
由三角形面积公式知
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082519-11556.png)
故答案为①②④。
点评:新定义问题,看似新定义问题难些,事实上,当理解
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082518-30970.png)
核心考点
试题【定义向量的运算(其中为向量的夹角),设为非零向量,则下列说法正确的是 . ①是非负实数②若向量共线, 则有=0③若向量垂直,则有=0④若能构成三角形,】;主要考察你对四种命题等知识点的理解。[详细]
举一反三
A.直线a与平面α不平行,则直线a与平面α内的所有直线都不平行 |
B.如果两条直线在平面α内的射影平行,则这两条直线平行 |
C.垂直于同一直线的两个平面平行 |
D.直线a与平面α不垂直,则直线a与平面α内的所有直线都不垂直 |
①存在α满足
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082443-31106.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082443-10018.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082443-63923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082443-30427.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082444-68976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082444-96682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082444-34827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082432-32304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082432-44065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082432-42255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082433-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082433-71206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082432-32304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082433-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082432-32304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082433-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082433-54193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082355-60780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082356-84407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082356-42626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082356-64490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082356-35178.png)
①整数集是数域; ②若有理数集
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082357-97673.png)
③数域必为无限集; ④存在无穷多个数域.
其中正确的命题的序号是 .(把你认为正确的命题的序号填填上)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082341-39382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082342-79773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082342-79285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082342-89186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082342-48071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191102/20191102082343-77368.png)
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