题目
题型:不详难度:来源:
如图,在
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015109-17304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015109-51785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015109-46573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015109-25938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015109-14420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015110-65559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015110-63344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015110-29264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015110-63867.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015110-10427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015110-44422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015111-62924.png)
(Ⅱ)以
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015111-10214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015111-82424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015109-25938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015111-29463.png)
求平行四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015111-29463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015112-18843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015112-15586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015112-52369.jpg)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015112-75425.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015113-54982.png)
解析
(1)∵Q为AP中点,∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015113-72990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015113-79889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-92318.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-85382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-22219.png)
则可结合正弦面积公式得到结论。
(1)解:∵Q为AP中点,∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015113-72990.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-55010.png)
同理:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-92318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-43688.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015115-41232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015115-93512.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015112-75425.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-85382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015114-22219.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015115-40884.png)
核心考点
试题【(本小题满分12分)如图,在中,设,,的中点为,的中点为,的中点恰为.(Ⅰ)若,求和的值;(Ⅱ)以,为邻边, 为对角线,作平行四边形,求平行四边形和三角形的面积】;主要考察你对平面向量的基本定理及坐标表示等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015102-78014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015103-94129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015103-64711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015103-37780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015103-17367.png)
A.4 | B.3 | C.2 | D.0 |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015055-90550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015055-84109.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015055-34795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015055-70240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015056-19513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015056-44313.png)
A.1个 | B.2个 | C.3个 | D.4个 |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015049-39562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015049-78031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015050-35985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015050-38877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015050-86311.png)
A.2 | B.![]() | C.1 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015042-75540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015043-23083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015043-85029.png)
A.-10 | B.10 | C.-20 | D.20 |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015036-37520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015036-51767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015036-33327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104015037-66436.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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