题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-91570.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-27941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
(Ⅱ)当a>0时,讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
(Ⅲ)若对任意的a∈(2,3),x1,x2∈[1,3],恒有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-55450.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-78125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-86283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-30559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-15789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-69832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-12661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-76362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-48839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-48397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-76278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-94932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-29850.png)
解析
试题分析:(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-27941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-76362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-93824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034424-78728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034424-34762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034424-78730.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034424-52316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034424-84689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034425-10673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-55450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034425-93270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034425-62832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034425-68769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034426-25459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034426-77656.png)
试题解析:(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-27941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034426-16012.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034426-15457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034426-27019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-30559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-76278.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-78125.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034427-97582.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-86283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-30559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034421-15789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-69832.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-12661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-76362.png)
③当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034422-48839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-48397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-76278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-94932.png)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034427-33398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034420-37947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034425-62832.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034427-54966.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034427-53033.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034428-11523.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034428-41250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034427-33398.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034426-25459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034427-33398.png)
由于当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034427-33398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034428-73592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034423-29850.png)
核心考点
试题【已知函数f(x)=2ax--(2+a)lnx(a≥0) (Ⅰ)当时,求的极值;(Ⅱ)当a>0时,讨论的单调性;(Ⅲ)若对任意的a∈(2,3),x1,x2∈[1】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034407-67292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034407-40756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034407-82766.png)
(I)用a分别表示b和c;
(II)当bc取得最大值时,写出
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034407-40756.png)
(III)在(II)的条件下,g(x)满足
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034408-44711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034355-53341.png)
(I)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034356-88903.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034356-33533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034356-70697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034344-22545.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034345-56400.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034345-64729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034345-36717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034345-75955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034324-61029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034324-86792.png)
(Ⅰ)当a=4时,求函数f(x)的单调区间;
(Ⅱ)求函数g(x)在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034324-71119.png)
(Ⅲ)若存在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034325-29408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034325-59777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034325-78539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034314-80623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034314-19323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034314-10945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034314-25553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034315-32645.png)
A.3 | B.![]() | C.2 | D.![]() |
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