题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181311-39150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181311-82045.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181311-45706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181312-97373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181312-15058.png)
(2)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181312-38631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181312-36129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181312-95670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-92048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-95919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-32929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-30458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-38984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-66281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181312-36129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-92048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-65787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-18072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-38984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181312-36129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-65787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-92048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-18072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-38984.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-13216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-38984.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-70612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181315-64754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181315-84152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181315-60066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181315-86859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181314-13216.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181316-52733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181316-45529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181316-81248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181316-95417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181316-79941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-38984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181317-51299.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181317-55041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181317-42926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181317-52589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181318-84192.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181318-24972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181318-88296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181318-81565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181319-30030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181319-26928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181319-17694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181319-25701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181313-38984.png)
点评:本题主要考查导函数的正负与原函数的单调性之间的关系,即当导函数大于0时原函数单调递增,当导函数小于0时原函数单调递减,同时考查了转化与划归的思想,分析问题解决问题的能力,属于中档题.
核心考点
试题【(本小题满分12分)已知函数,(1)若时,在其定义域内单调递增,求的取值范围;(2)设函数的图象与函数的图象交于,两点,过线段的中点作轴的垂线分别交、于点,,问】;主要考察你对指数函数图象及性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181306-68597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181306-76504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181306-22159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181306-68597.png)
(Ⅱ)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181306-98564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181306-39041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181306-68597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181302-22795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181303-71552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181303-81576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181303-98588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181303-44022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181302-22795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181304-10786.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181257-34200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-72499.png)
(1)试确定
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-64454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-25783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-75201.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-25783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181258-75201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-76104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-67556.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-28174.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-59599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181248-29947.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181249-77382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181249-49371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181249-94172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181241-86602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181241-22261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181241-27365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181242-38722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181242-35882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181242-88894.png)
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