题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033124-90402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033124-45758.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033124-60264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033125-76221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033125-58055.png)
(2)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033125-87788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033125-69092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033125-18650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-33327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-46946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-42399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-59589.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-79170.png)
解析
试题分析:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-64898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-22982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-17955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-87352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-87352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-87352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-87352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-87352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033128-88631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033128-88631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033128-17079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033128-13985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033128-86771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033129-59209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033129-77849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033129-20064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033129-27201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033129-27201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-33327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033130-92765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033130-24569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033130-31861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-46946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-46946.png)
试题解析:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-64898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033130-41296.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033130-82354.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-17955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033131-45653.png)
显然
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033131-31699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033131-28113.png)
又因
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033131-95918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033131-28113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033132-97921.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033132-76169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033131-28113.png)
又因
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033132-83706.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033132-67013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033132-84820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033133-17034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-59589.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033133-13959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033133-27219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033133-66624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-59589.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033126-59589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033131-28113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033134-83129.png)
(2)由题可知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033134-82118.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033134-79607.png)
根据题意,方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033134-91085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033134-69470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033135-68238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033135-98164.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033135-73456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033135-55010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033136-57374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033135-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033136-51305.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033136-65075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033136-74576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033136-44071.png)
注意到
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033137-79644.png)
所以上式化为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033137-96437.png)
即不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033137-75368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033137-61999.png)
(i)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033138-42090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033137-75368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033138-97068.png)
(ii)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033138-80112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033138-38008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033138-94989.png)
令函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033139-56282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033139-21715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033139-62002.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033139-41102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033140-28750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033140-65962.png)
(iii)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033140-58322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033140-85375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033140-49092.png)
由(ii),当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033141-40440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033141-64982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033141-40177.png)
综上所述,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033127-79170.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033103-53039.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033103-40855.png)
(2)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033103-16120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033103-49278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033104-50849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033104-72266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033053-33615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033054-18901.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033050-68732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033050-63970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033039-63960.png)
⑴当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033039-37204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033039-69087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-42110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-19304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-40502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-76934.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-53870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-60163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-76934.png)
⑵当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-19356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-88761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033040-72431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033041-54986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018033028-89565.png)
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