题目
题型:填空题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044806-96303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-92412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-61402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-88488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-72768.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-55678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044808-13978.png)
解析
试题分析:根据题意,由于函数是定义在
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044806-96303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-92412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-61402.png)
那么可知
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-88488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044808-18183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044807-55678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044808-13978.png)
点评:解决该试题的关键是里将所求解的不等式等价转换为关于x的不等式组,然后结合二次不等式的思想来求解得到,属于基础题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044805-35286.png)
A.1,− 1 | B.1,− 17 | C.3,− 17 | D.9,− 197 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044801-89982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044801-66978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044801-60293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044801-77843.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044757-35757.png)
(1)判断该函数在区间(2,+∞)上的单调性,并给出证明;
(2)求该函数在区间[3,6]上的最大值和最小值.
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044734-95520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044734-74537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044734-67470.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044734-25371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044734-23342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044735-48504.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044735-48389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044735-22564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044735-93275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044736-36515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044736-74420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044736-89808.png)
(3)若对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044736-12531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044736-10348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044737-38220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044737-16766.png)
① 若定义在R上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044727-96694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044727-24390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044727-96694.png)
② 若对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044727-11551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044727-23146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044728-25251.png)
③ 定义:“若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044727-96694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044728-47983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044728-44862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044728-65237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044727-96694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044728-24504.png)
④对于函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044729-60961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044729-74345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044729-70123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044729-39801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044729-86646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044730-59912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044730-30543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818044728-44862.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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