题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110301-10842.gif)
(1)求证函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-15044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-62062.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-10483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-22749.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110303-39033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110303-60993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110303-79422.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110303-42364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-10483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110304-23542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110304-11522.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110304-62164.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110304-94423.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110305-69199.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110305-28493.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110305-77523.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110305-62263.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110306-96288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-62062.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110306-96288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-62062.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-15044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-62062.gif)
取区间
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110302-62062.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110306-62256.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110306-83174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110306-33373.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110307-79036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110307-84546.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110307-79509.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110308-44019.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110307-84546.gif)
(Ⅱ)由
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110304-23542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110308-37562.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110308-81325.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110303-42364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110308-38187.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110309-77010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110309-72742.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110309-69102.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110310-77853.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110303-42364.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110310-77786.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110311-31164.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110311-78336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110311-90536.gif)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110311-60198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110311-39330.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110311-78336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110312-69958.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110312-92563.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110304-11522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110312-52873.gif)
解析
核心考点
试题【已知函数.(1)求证函数在区间上存在唯一的极值点,并用二分法求函数取得极值时相应的近似值(误差不超过);(参考数据,,)(2)当时,若关于的不等式恒成立,试求实】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110240-13831.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110241-77658.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110241-90125.gif)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110228-53807.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110228-52303.gif)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110158-96551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110159-44358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110159-43382.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110141-17002.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110141-55279.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110141-55028.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110142-62029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110142-41598.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110142-75393.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110143-92269.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110129-97124.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110129-22914.gif)
用定义证明
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110130-85263.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110130-65363.gif)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110130-19041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205110130-42006.gif)
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