题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014441-22450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014441-46063.png)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014442-26139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014442-37511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014442-79417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014442-81303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014443-38386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014443-32457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014442-81303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014443-10279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014443-38386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014443-75353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014444-76568.png)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
试题分析:由题意可知
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-27851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014442-26139.png)
根据新定义可知
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014443-10279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-20942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-90583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014446-86416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014446-86416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-20942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-90583.png)
而点Q在y=f(x)的图象上运动
∴f(2x+
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014446-86416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-20942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-90583.png)
则f(x)=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-20942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014446-32359.png)
∴y=f(x)的最大值、周期分别为
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014445-74606.png)
故选D.
点评:新定义问题,此类题目往往作为“创新题”出现,关键是读懂题意,明确新定义运算方法及结果。
核心考点
试题【若,定义一种向量积:, 已知,且点在函数的图象上运动,点在函数的图象上运动,且点和点满足:(其中O为坐标原点),则函数的最大值及最小正周期分别为A.B.C.D.】;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/20191104/20191104014436-77320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014436-43375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014437-23564.png)
A.(-2,-4) | B.(2,4) | C.(6,10) | D.(-6,-10) |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014430-25342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014431-96642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014431-23419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014431-15468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014431-67164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014431-40276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014431-14574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014432-90863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014432-73637.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014424-78555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014425-82087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014425-77695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014425-61820.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014417-70542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014418-83080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014418-59613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014418-15271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014418-62182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014419-32590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014419-47456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014419-19423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014419-27937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014420-65594.png)
A.①② | B.①④ | C.①③ | D.⑤ |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014413-72518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014413-97020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014413-51379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014413-46853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104014414-97493.png)
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