题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052254-63867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052254-22273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052254-74450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-91967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-41619.png)
(1)对任意实数
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-91967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-90996.png)
(2)试判断数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052254-22273.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-72768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052254-22273.png)
解析
试题分析:(1)证明否定性命题,可用反证法.如本题中可假设存在
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-91967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-90996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-15907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-91967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-56765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-67638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-91967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-99940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-99940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052257-59916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-99940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052257-93203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052257-68711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052257-29629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-99940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052257-79661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-99940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-72768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-99940.png)
(1)证明:假设存在一个实数
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-91967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-90996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052256-15907.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052258-20675.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-90996.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052258-18607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052258-27810.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052258-30895.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052257-79661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052259-30881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-41619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052254-22273.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-72768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052257-29629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052259-35900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052259-62054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-41619.png)
故当
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052255-72768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052254-22273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052259-29016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052300-47040.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052241-63421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052241-41904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052242-50042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052241-63421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052226-61384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052226-57233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052227-12112.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052211-38322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052211-44742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052211-39755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052211-67485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052212-67024.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052211-38322.png)
(2)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052212-46193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052212-65323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052212-33573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052156-83841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052156-70983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052156-56658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052157-25257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052157-79162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052157-47541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052157-57467.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052156-83841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052157-25257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052158-15750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052158-74329.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052158-93187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052158-18710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052148-88450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052148-78062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052148-84109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014052148-68698.png)
A.![]() | B.![]() | C.8 | D.4 |
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