题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090201-39811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090201-63339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090202-11274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090202-90600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090202-21029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090202-14214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090202-26374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-14322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-14322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
(Ⅰ)分别判断数集
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-74547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-73502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
(Ⅱ)已知数集
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-89013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-82001.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-15586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-84394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-82001.png)
解析
试题分析:(Ⅰ)由于
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-19945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090205-30739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-15586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090205-84338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090205-48493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090205-74576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090206-21529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090206-16260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090206-77065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090206-56300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090206-40031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090207-36918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090207-13713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-84394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090207-84090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090208-53831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090208-95139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-14322.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090208-17453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090208-83642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090208-58478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090209-18727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090209-74242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090209-69507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090209-22941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090209-90617.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-14322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090210-73829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090210-97816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090210-65165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090210-47332.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090211-86830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090211-47166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090211-52919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090212-71225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-14322.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-14322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-84875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090212-57111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090212-73658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090212-55563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090203-14322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090212-95605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090212-48235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090213-67092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090213-11866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090213-25300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090213-23393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090213-41898.png)
由①②可知
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090214-52219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090214-27106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090214-25988.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090204-82001.png)
点评:难题,本题属于新定义问题,关键是理解好给予的解题信息,并灵活地进行应用。(2)证明数列是等差数列的方法,不同于常见方法,令人难以想到。
核心考点
试题【已知数集,其中,且,若对(),与两数中至少有一个属于,则称数集具有性质.(Ⅰ)分别判断数集与数集是否具有性质,说明理由;(Ⅱ)已知数集具有性质,判断数列是否为等】;主要考察你对集合运算等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090159-22699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090159-31153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090200-88174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090156-29354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090156-60578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090156-97811.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090154-40050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090154-74746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090154-24939.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090149-51872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090149-52980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090150-81120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090150-37198.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090150-20363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090150-33439.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090150-30840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090151-65745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817090147-71365.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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