题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180402-15436.png)
(1)解不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180402-63885.png)
(2)对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180402-77906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180402-40924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180403-96953.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180403-59910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180403-15717.png)
解析
试题分析:本题考查绝对值不等式的解法和不等式的恒成立问题,考查学生的分类讨论思想和转化能力.第一问,利用零点分段法进行分类求解;第二问,利用函数的单调性求出最大值证明恒成立问题.
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180403-52726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180403-78830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180404-21813.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180404-69946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180404-98798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180403-59910.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180404-15486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180404-14525.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180405-13465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180405-69026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180405-65306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180405-88691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180405-15968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180406-21762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180405-88691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180406-95472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180406-14432.png)
∴在
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180407-81189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180406-21762.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180403-15717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180407-33051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180407-81189.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180355-97575.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180355-16693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180355-30626.png)
(2)若关于
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180356-34074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180356-37265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180356-67692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180356-32850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180353-74423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180353-37836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180345-17343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180346-11311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180345-17343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180346-50916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180346-44925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180346-65929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180346-76521.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180337-93406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180338-92523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180338-31875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180338-49905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180338-74707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180338-44148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180339-72061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180339-88279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180339-77607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180321-41572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180322-40420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180322-25132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180322-97828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180322-53642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180322-21380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180321-41572.png)
(1)求实数a的值;
(2)如果当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180323-96860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180323-96457.png)
(3)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819180323-62939.png)
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