题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100359-48405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100359-14746.png)
(Ⅰ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100359-43609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100359-68900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-30813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-95155.png)
(Ⅱ)求证:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-51303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-36739.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-71807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-42412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-62076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-57590.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-40140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-88175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-55052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-43034.png)
解析
试题分析:(Ⅰ)通过求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-95155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-75052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-40140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-88175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-54805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-30896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-88606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-42412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-62076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-87185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-97780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-33088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-90163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-58118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-55052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-43034.png)
试题解析:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-76711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-24703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100405-62741.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-54805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100405-35539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100405-24666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100405-16582.png)
因此,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-40140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100406-73945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100406-29413.png)
因此,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-75052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-40140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100401-88175.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100400-51303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100406-50192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-54805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-30896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100406-42845.png)
因此,有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100407-50226.png)
(Ⅲ)不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100407-45347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100407-84148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-87185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100403-97780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-33088.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100408-76965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100408-17155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100408-26561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100408-39041.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100408-64745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100409-56701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100409-27217.png)
所以方程
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100409-19797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100409-56701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100409-89736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100409-92270.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100410-64603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100410-20633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100410-80876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100410-51788.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-33088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100410-18413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100411-13964.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100411-41951.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100404-58118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-55052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100402-43034.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100350-49215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100350-36589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100350-27055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100351-96933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100351-89221.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100331-83367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100331-30369.png)
(1)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100332-22424.png)
(2)若存在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100332-95121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100332-15276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100332-57497.png)
(3)如果对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100333-54541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100333-18865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100333-36430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100344-65911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100344-31381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100344-61729.png)
A.(-![]() | B.(-1,3) | C.( -3,1) | D.(![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-81570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-81570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-43369.png)
(1)求该出版社一年的利润
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-71203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-81570.png)
(2)当每本书的定价为多少元时,该出版社一年的利润
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-71203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-71203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100317-87693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100304-78094.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100304-10227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100305-92935.png)
(2)当函数自变量的取值区间与对应函数值的取值区间相同时,这样的区间称为函数的保值区间。设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100305-47135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100305-46282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018100305-33762.png)
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