题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035024-38985.png)
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035024-45412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035024-36459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035024-89124.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035024-53809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035025-59602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035025-19824.png)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035025-50578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035025-24146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-62246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-32592.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-59287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-58529.png)
解析
试题分析:(Ⅰ)将
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035024-45412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-82625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-15551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-95089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-20623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-50804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-99962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-20623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-17618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-80796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-17618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-76809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-43088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-23458.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-98852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-86296.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-29045.png)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-56323.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035030-20684.png)
与待证不等式比较,只要
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035030-92862.png)
试题解析:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035030-68456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035030-49669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035031-38275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035031-94915.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035031-38794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-82625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-15551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-95089.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-20623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035027-50804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035031-82084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035032-54518.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035032-48618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035032-32663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035032-68664.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-58529.png)
法二、
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035032-10864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035033-55256.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035033-27951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035033-59393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035033-37881.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035034-33503.png)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035034-54483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-17618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-76809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035028-43088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-23458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035034-48504.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-98852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035034-74307.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-29045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035029-56323.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035034-54446.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035030-92862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035035-56123.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035035-55103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035035-31255.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035035-89211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035035-68561.png)
所以:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035026-32592.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035018-77545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035018-10509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035018-12942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035018-93295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035018-22888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035018-52499.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035006-47724.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035007-56243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035007-66079.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035007-96471.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035007-50354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035007-54636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034947-36692.png)
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034947-83471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034947-92284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034948-38971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034948-27561.png)
(2)求证: 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034948-16959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034948-10309.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034948-69367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034949-94042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034949-85647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034949-21484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034928-18816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034929-70560.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034929-88373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034929-41400.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034929-31722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034930-85244.png)
(3)证明: 对一切
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034930-80597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034930-53861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034920-13635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034921-17975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018034921-55658.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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