题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062724-66670.png)
(1)若方程
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062724-84461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062724-66670.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062725-78433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062725-52680.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062725-23312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062725-89085.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062725-92878.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062726-25403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062726-12377.png)
所以判别式△=
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062726-60870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062726-22779.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062726-11936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062727-32512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062727-61634.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062727-99233.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062727-81796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062727-26124.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062728-64887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062728-64890.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062725-89085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062728-54754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062727-26124.png)
故只需
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062728-36798.png)
注意到
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062725-89085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062728-71461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062727-32512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062729-27429.png)
解析
核心考点
试题【已知二次函数的二次项系数为a,且不等式f(x)>-2x的解集为(-1,3)。(1)若方程有两个相等的实数根,求的解析式;(2)若函数在区间内单调递减,求a】;主要考察你对一次函数的图象和性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062719-33493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062720-20462.png)
(1)若方程
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062720-84812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062720-20494.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062720-55055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062720-84221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062717-36103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062717-28780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062717-12095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062713-74662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062713-61796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062713-38650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062714-21870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062702-43471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062702-24965.png)
(Ⅰ)设集合
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062702-56674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062703-20460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062703-25733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062703-11573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062703-42393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062704-99734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062704-78732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062704-12541.png)
(Ⅱ)设点
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062704-78266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062704-98387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062704-40226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062705-17403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062705-17403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062705-35069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062705-91840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062700-88675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062700-40534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062700-74832.png)
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