题目
题型:解答题难度:一般来源:不详
已知
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222123-23957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222123-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222123-15444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222123-63179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-95614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-87294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-33527.png)
求点
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-95614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-15666.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-24110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-69995.png)
(3)(文科生做)记函数
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-17374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-49265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-45755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-61747.png)
(3)(理科生做)记函数
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-17374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-49265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-97016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-68320.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-77198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222127-31183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222127-11348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222127-19558.png)
解析
试题分析:
解题思路:(1)利用向量的坐标运算和向量相等进行求解;(2)将三点共线转化为向量共线,再利用共线条件确定
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-15666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222127-21406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222128-35236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222127-21406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222128-44006.png)
规律总结:1.涉及平面向量运算问题,主要思路是:首先,利用平面向量基本定理,选择合适的向量作为基底,来表示有关向量;再利用数量积的有关公式进行求解(模长公式、夹角公式等);
2.涉及三角函数的最值或求值问题,往往先根据三角函数恒等变形化为
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222128-44006.png)
试题解析:(1)设点
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-95614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222128-98691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222128-20206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222129-38180.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-33527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222129-39856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222129-81696.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222129-91580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222129-81696.png)
∴点
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222124-95614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222129-15925.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-24110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222130-61927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222130-15538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222130-64306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222130-67371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222131-68718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222131-59920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222131-54666.png)
所以以
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222125-69995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222127-31183.png)
(3)(文科生做)∵
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222131-92245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222131-65587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222132-68777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222132-62241.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222132-72961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222132-18042.png)
(3)(理科生做)∵
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222131-92245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222131-65587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222132-68777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222132-62241.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-97016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222132-97996.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222133-34709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222133-15059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-68320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222133-66317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222133-11907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-68320.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222134-36243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222134-67665.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222126-68320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222134-21466.png)
核心考点
试题【其中第(1)(2)问文理科学生都要做,第(3)问按题目要求分文理来做。已知为坐标原点,向量,点是直线上的一点,且.求点的坐标(用表示);若三点共线,求以线段为邻】;主要考察你对正弦函数的图象与性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222116-15873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222116-15873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222116-21780.png)
A.横坐标缩短到原来的![]() ![]() |
B.横坐标缩短到原来的![]() ![]() |
C.横坐标伸长到原来的2倍(纵坐标不变),再向左平行移动![]() |
D.横坐标伸长到原来的2倍(纵坐标不变),再向右平行移动![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222111-61199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222111-10454.png)
A.(-3,l) | B.[0,1) | C.(-2,1) | D.(0,2) |
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222105-31928.png)
(1)求函数f(x)的最大值和最小正周期;(2)若a为锐角,且
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222105-67704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222037-25477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222037-25477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222038-54516.png)
(1)求函数y=f(x)的解析式;(2)当x∈
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222038-78845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222032-25929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222032-69661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222032-29173.png)
(1)求函数f(x)的解析式;(2)求函数f(x)的单调递增区间;(3)当x∈
![](http://img.shitiku.com.cn/uploads/allimg/20190829/20190829222032-28809.png)
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