题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135843-65294.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135843-70186.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135843-60083.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135844-62487.gif)
答案
当x≥0时,f(x)=2x-
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135844-35397.gif)
由条件可知2x-
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135844-35397.gif)
解得2x》2
∵2x>0,∴x》1.
(2)当t∈[1,2]时,2t
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135844-50851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135844-77563.gif)
即m(22t-1)≥-(24t-1).
∵22t-1>0,∴m≥-(22t+1).
∵t∈[1,2],∴-(1+22t)∈[-17,-5],
故m的取值范围是[-5,+∞).
解析
核心考点
举一反三
已知二次函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135826-16543.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135826-33920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135826-11459.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135826-38850.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135827-55313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135827-11375.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135827-17005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135827-17005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135827-96279.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135828-68029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135828-89136.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135827-96279.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135828-85192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135828-90277.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135828-39469.gif)
(Ⅱ)求阴影面积
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135829-96755.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135827-11375.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135829-92064.gif)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135829-99775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135829-72357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135830-69381.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135830-71067.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135829-72357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135830-85469.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-14992.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-42433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-94928.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-84184.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-14992.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-48402.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-18297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-20137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135804-26316.gif)
(1)试求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135803-14992.gif)
(2)已知各项均为负的数列
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135804-79708.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135804-43455.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135804-29929.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135804-84413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135805-25085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135805-85934.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135805-37993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135805-22713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135757-97228.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135757-17743.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135757-25668.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135749-80433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135750-69167.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135750-14920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135750-84209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135750-37663.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135737-26685.gif)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135737-44919.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135737-56383.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135738-10657.gif)
使
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018135738-91357.gif)
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