题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001437-99703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001437-96649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001437-96418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001438-83901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001438-36104.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001438-48452.png)
解析
试题分析:当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001438-83901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001438-89491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001439-12889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001437-99703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001437-99703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001439-90555.png)
点评:此类问题的一般做法是: ①“求谁设谁”即在哪个区间求解析式,x就设在哪个区间内; ②要利用已知区间的解析式进行代入; ③利用f(x)的奇偶性写出-f(x)或f(-x)从而解出f(x)。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001419-24675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001419-83635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001420-13472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001420-55758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001421-16886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001421-25269.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001421-24660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001421-13103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001422-55518.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001419-24675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001419-83635.png)
(3)设集合
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001422-55816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001422-75107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001422-77995.png)
求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001422-53746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001403-46923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001404-80354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001404-76717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001404-80354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001403-46923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001404-53616.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001405-36770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001405-95414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001403-46923.png)
(2)若对任意的实数b,函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001403-46923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001405-64510.png)
(3)在(2)的条件下,若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001406-15906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001403-46923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001406-88411.png)
(参考公式:若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001406-14107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001406-61727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001348-49692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001349-10573.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001349-16020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001349-45352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001349-66128.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001349-95725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001350-89458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001350-31147.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001350-29805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001351-88222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001351-21298.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001351-81158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001351-88222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001352-27802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001342-19918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001342-96576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001330-79337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001330-12421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205001330-29247.png)
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