【题文】若关于x的方程有三个不等的实数解,则实数的值是
题型:难度:来源:
【题文】若关于x的方程
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070708-57153.png)
有三个不等的实数解,则实数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070708-59720.png)
的值是
答案
【答案】1
解析
【解析】
试题分析:如图所示函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070708-23899.png)
要与直线
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070708-13460.png)
有三个不同的交点,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070709-45226.png)
,即
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070709-35093.png)
.
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070709-75692.jpg)
考点:分段函数、二次函数的图像;函数有实根可转化为两函数图像有交点.
举一反三
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070656-22439.png)
(
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070656-38884.png)
),若
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070656-39778.png)
的定义域和值域均是
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070656-62329.png)
,则实数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070656-41860.png)
=
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070646-23801.png)
(
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070646-21512.png)
),若
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070647-92085.png)
的定义域和值域均是
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070647-27321.png)
,则实数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070647-42976.png)
=
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070620-44782.png)
的值域为
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070621-27273.png)
,若关于
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070621-52752.png)
的不等式
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070621-98257.png)
的解集为
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070621-10372.png)
,则实数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070622-68578.png)
的值为
.
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070606-31797.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070606-97926.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070606-37875.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070607-67935.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070607-60830.png)
恒成立,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070608-77262.png)
的最小值为
.
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070545-49249.png)
。又数列
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070545-59009.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070545-20249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070545-36721.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070546-77166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070546-38160.png)
,则正实数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327070547-22274.png)
的取值范围是( )
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