题目
题型:不详难度:来源:
已知向量a =" (" sinx , 0 ), b =" (cosx," 1), 其中 0 < x <
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-40540.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-97706.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
= (
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
=" sin2(x" –
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
0 < x <
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-40540.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
∴ 0 £ sin2(C–
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
得 |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-97706.gif)
解2: |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073334-66364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073334-66364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073334-66364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
= (
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
=" sin2(x" –
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
0 < x <
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-40540.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
∴ 0 £ sin2(C–
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-31912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-61405.gif)
得 |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073332-65024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-70219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073333-97706.gif)
核心考点
试题【(本小题满分14分)已知向量a =" (" sinx , 0 ), b =" (cosx," 1), 其中 0 < x <, 求|a –b |的取值】;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
已知:向量
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073328-32758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073329-99687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073328-32758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073329-99687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073329-92007.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073328-32758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073329-99687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073329-28038.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073328-32758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073329-99687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073328-32758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073329-99687.gif)
已知:向量
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073318-85673.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073319-94205.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073319-94205.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073319-48514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073319-27247.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073319-37826.gif)
(2)求:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073320-25033.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073320-34450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073320-13935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073312-94857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073312-94857.png)
A.–1 | B.1 | C.–2 | D.2 |
已知:向量
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073305-20856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073305-45578.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073306-88600.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073306-32150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073306-78430.gif)
(2)求:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073306-34755.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073258-11449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073258-70224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073259-47032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104073259-68935.png)
A.![]() | B.2![]() | C.4 | D.12 |
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