题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193441-49391.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-50366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
(Ⅲ)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-72717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193444-71379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193444-86212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193444-92198.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193444-80455.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-65262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-13669.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-37472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193446-35036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193446-23505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193446-91248.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-57118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-47325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-51329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-34017.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193448-80862.png)
解析
试题分析:解:(Ⅰ)函数的定义域为
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-13669.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193448-99974.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193448-99890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193449-42918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193449-22351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193449-56948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193444-80455.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193449-33153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193450-49141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193450-59823.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193451-60368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-65262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193451-14039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193451-28414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-37472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193452-99760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193452-66754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193452-81298.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193452-50126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193452-39472.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193453-52677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-57118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193452-99760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193448-99890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193453-36339.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193452-50126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193453-31671.png)
综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-65262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-13669.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193445-37472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193446-35036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193446-23505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193446-91248.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-57118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-47325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-51329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193447-34017.png)
(10分)
(Ⅲ)由(Ⅱ)知,当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-72717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193442-62883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193454-33133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193454-91601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193455-35340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193455-60606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193456-26637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193456-48845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193456-51854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193456-73756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193457-86170.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193457-93184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193457-97773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193448-80862.png)
点评:主要是考查了导数在研究函数中的运用,利用导数判定单调性以及极值和最值,属于中档题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193435-73083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193436-80337.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193426-24378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193426-33633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193426-39113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193427-22284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193427-72822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193427-81634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193427-81634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193427-35305.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193428-35012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193428-60180.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193428-35012.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193428-59699.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193428-25956.png)
其中正确的说法个数为:
A.0 | B.1 | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193355-99894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193356-65450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193356-98928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193356-82242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193356-98543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193357-41249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193357-89389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193357-67486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193357-80008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193358-19542.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193358-70515.png)
(2)用n表示
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193358-57462.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193359-91398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193359-63718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193359-35862.png)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193316-13420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204193316-12807.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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