题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-10786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-28198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-39179.png)
(1)求D点的坐标.
(2)若D点在第二象限,用
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-10786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-28198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-49088.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-70298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-10786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-49088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-70298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-70298.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-49088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-10786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-28198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-70298.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-25192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-21279.png)
由题得
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-21260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-62325.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-15086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-71672.png)
∴D点的坐标为(-2,3)或(2,1).
(2)∵D点在第二象限,∴D(-2,3).
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-21279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-98158.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-98158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-25192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-21279.png)
则(-2,1)=m(1,2)+n(-1,3),
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042302-98476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042302-52951.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-98158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-25192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042302-91342.png)
(3)∵3
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-25192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-98158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042302-86775.png)
∵3
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-25192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-98158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042302-86775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042300-25192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042301-98158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042302-86775.png)
∴m+14=0,∴m=-14,∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042303-32816.png)
核心考点
试题【已知A(-1,0),B(0,2),C(-3,1),·="5," =10.(1)求D点的坐标.(2)若D点在第二象限,用,表示.(3)设=(m,2),若3+与垂直】;主要考察你对平面向量数量积的意义等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042251-28531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042251-81693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042251-64224.png)
A.0 | B.1 | C.2 | D.3 |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042243-59683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042244-31401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042244-76618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042244-63550.jpg)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042240-96742.png)
A.![]() | B.![]() |
C.θ-![]() | D.θ |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042234-56005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042234-14944.png)
A.-4+![]() | B.-3+![]() |
C.-4+2![]() | D.-3+2![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042230-70412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042230-65024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042230-88921.png)
(1)求y关于x的函数关系式y=f(x).
(2)若x∈[0,
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104042230-43988.png)
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