题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215605-60941.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215605-62356.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215605-46128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215606-58114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215606-36483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215606-39999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215606-29607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-82766.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-16041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-52119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-24664.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215608-69056.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215608-52648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215608-32211.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215608-84243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215608-81840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215609-23736.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215609-12590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215609-26905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215609-57350.png)
又已知
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215609-96276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215610-44460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-16041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-52119.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215610-62625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215605-62356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215610-89626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215610-44460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-24664.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215606-58114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215610-15651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215611-79850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215611-76750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215611-83661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215610-89626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215611-83661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215611-87304.png)
根据题意,有
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215612-39377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215611-87304.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215612-85973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215612-48246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215612-91734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215607-82766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215608-69056.png)
点评:函数的定义域、值域、单调性、奇偶性、周期性等都是高考考查的重点,高考中一般在压轴题的位置上出现,要灵活运用各种思想方法和技巧解决问题.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215548-62197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215548-82484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215549-77063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215549-32020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215549-58647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215550-82730.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215550-66405.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215521-28859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215522-96769.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215522-68167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215522-99505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215522-94294.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215522-39266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215523-96402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215523-54405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215523-96421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215524-83629.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215524-65373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215525-43060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215525-58241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215525-96477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215525-34889.png)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215516-86506.png)
(1)解关于
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215517-74712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215517-26364.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215517-36634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215517-46767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215518-21146.png)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215435-64013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215435-34708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215435-28115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215436-18677.png)
(Ⅰ)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215436-99929.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215436-94479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215437-82193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215437-68034.png)
(Ⅲ)若关于
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215437-43049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215437-53918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215438-47771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215407-81216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215407-92699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215407-81216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204215408-42775.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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