题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044311-28153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044311-56262.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-54989.png)
(2)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-76455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-54989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-65630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-15533.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-15533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044313-62249.png)
解析
试题分析:(1)求出导数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044313-33685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044313-18217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044313-28352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044314-26877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044314-26877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044314-59479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044314-70341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044314-73852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044314-90525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044314-90525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-15533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-15533.png)
试题解析:(1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044311-28153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044315-12342.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044315-27191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044315-73569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-54989.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044315-47051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044316-14076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044316-95430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-54989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044316-80330.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044316-33306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044316-14076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044316-85270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-54989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044317-42188.png)
(2)由(1)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044317-46356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044317-69389.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | 0 | ![]() | 0 | ![]() |
![]() | ![]() | 极小值 | ![]() | 极大值 | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044320-87040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044320-61238.png)
∵对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044317-46356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-54989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-65630.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044320-55504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044321-13917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044321-20718.png)
∵对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-76455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044321-25846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044321-77770.png)
∴实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044312-15533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044313-62249.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044305-48172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044306-38241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044306-37377.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044244-78814.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044244-39252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044244-24087.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044244-64538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044245-18927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044245-50349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044245-38917.png)
(Ⅲ)令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044245-45632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044246-25552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044246-33187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044245-38917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044227-93881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044228-97876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044228-15354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044228-72932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044228-64811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044229-33883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044229-89171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044229-22104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044229-33791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044230-11324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044230-36279.png)
(I)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044228-64811.png)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044230-20501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044230-33440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044230-33440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044217-68300.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044217-52114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044217-73738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044217-95207.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044217-31765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044208-41019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044208-95026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044208-30846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018044209-23161.png)
A.2 | B.![]() | C.![]() | D.![]() |
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