题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212502-93846.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212503-12771.gif)
(2)若存在
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212503-48583.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212503-61668.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212503-88957.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212504-53525.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212504-55021.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212504-88672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212505-27362.gif)
∴ 函数f(x)的最小正周期
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212505-92731.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212505-64503.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212505-78389.gif)
∴ 当
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212505-68813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212506-54109.gif)
所以使题设成立的充要条件是
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212506-44586.gif)
故m的取值范围是(-1,+∞)
核心考点
试题【已知函数(1)求函数的最小正周期;(2)若存在,使不等式成立,求实数m的取值范围.】;主要考察你对任意角三角函数的概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212438-66019.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212438-65314.gif)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212438-34784.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212320-12407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
(Ⅰ)如果
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212320-12407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-87650.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212320-12407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-87650.gif)
(Ⅱ)如图,如果
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212320-12407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-87650.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212320-12407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-56083.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
(Ⅲ)如果边长为2的正三角形
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-87650.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212320-12407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212320-12407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-44919.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-62410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212321-69687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212322-80404.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212322-24701.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212322-36836.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212208-67635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212208-67635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212208-81907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212208-74444.gif)
(ⅰ)试将
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212209-85232.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212209-30753.gif)
(ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212209-85232.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212201-36410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212201-26646.gif)
(Ⅰ)试将水槽的最大流量表示成关于
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212201-74985.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212201-88739.gif)
(Ⅱ)求当
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212201-74985.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212201-24269.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212111-85637.gif)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212113-15463.gif)
(Ⅱ)设A,B,C为
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212113-74766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212114-67971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190822/20190822212114-38214.gif)
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