题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042459-35130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042459-89272.png)
(I)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-76552.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-41493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-53112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-58303.png)
(Ⅲ)设正实数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-15603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-24531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-99298.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-51131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-13875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-82581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-33913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-24735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-82514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-20307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-98790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-48560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-86990.png)
解析
试题分析:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-51131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-58303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-98790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-51131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-58303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-86990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-98790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-68703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-58753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042504-98843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042504-36593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042504-78663.png)
试题解析:(Ⅰ)易知
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042504-64400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-82581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042504-98579.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042505-80016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042505-56314.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042505-95354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042505-17319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042505-81445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-82581.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042506-84627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042506-83872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-82581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-82581.png)
③当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-33913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042505-80016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042506-22938.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-24735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-20307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-82514.png)
综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-13875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-82581.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-33913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-24735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-82514.png)
单调递减区间为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-20307.png)
(Ⅱ)即
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-41493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042506-37739.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-13875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042501-82581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-41493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042506-42176.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-33913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042502-20307.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-46654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042507-28542.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042507-52271.png)
故实数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042500-58303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-48560.png)
(Ⅲ)由(2)知,
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042507-41475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042507-69673.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042503-58753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042507-56146.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042507-24056.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042508-93586.png)
其中
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042508-70882.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042508-96570.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042508-13894.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042447-43251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042447-91977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042448-61762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042448-25234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042448-20307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042448-83801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042448-36091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042449-69246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042449-89772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042449-19915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042449-42796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042449-11327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042450-76997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042450-33489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042450-13210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042450-72346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042444-35449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042444-45600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042444-24397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042444-38828.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
A.(0,![]() | B.(0,![]() | C.(1,![]() | D.(1,![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042438-19984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042438-57938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042439-11128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042439-41953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042439-98410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042435-69075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042435-14889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042435-11930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042435-94648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818042436-76225.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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