题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154013-82458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154014-31885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154014-60904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154014-49919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-64752.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
(2)若关于
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-49317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-19701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-50679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-83390.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154016-31142.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154016-12593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154016-57172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154016-92896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154017-41514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-19701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154017-34506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154017-23454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154017-58223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154017-49268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
试题解析:(1)解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-64752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154018-48361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154018-76120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154018-30927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154018-85982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154018-80118.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154016-31142.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154019-41536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154019-59186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154016-92896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154017-41514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154019-89314.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154019-52064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154019-67489.png)
经检验
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154020-67817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154020-19195.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-87137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154020-49947.png)
(2)∵函数
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154020-89703.png)
∴①当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-70100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-64752.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-89867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-64752.png)
问题等价于关于
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-49317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154017-34506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-50679.png)
∴①当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-70100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-50679.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-54456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-57238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-39184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154022-64157.png)
∴②当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-89867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154015-50679.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154022-97917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154022-22575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154022-85299.png)
综上所述,当
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-89867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154022-85299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-70100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154021-39184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154022-64157.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154011-83154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154011-53447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154011-87079.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154007-51704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154007-73922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154008-72282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154008-52260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154004-84587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820154002-75651.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820153957-72214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190820/20190820153957-33858.png)
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