1 . 设集合
满足条件,若
,则
(
且
).
(1)若
,求集合
;
(2)若
,试证明:
;
(3)集合
能否为单元素集合?为什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74137fa46f6f3208f5924cb1b8c66b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed961de27af72b7d11887ccfb6f15071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d59d461091895f698c5d33dcb9c804.png)
(3)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2 . 设A、B是两个非空集合,定义A与B的差集
.
(1)试举出两个数集,使它们的差集为单元素集合;
(2)差集
与
是否一定相等?请说明理由;
(3)已知
,
,求
及
,由此你可以得到什么更一般的结论?(不必证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc4a664ec6389873a5080521b1a4cf9.png)
(1)试举出两个数集,使它们的差集为单元素集合;
(2)差集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedf36d24ea4f9063259ea2018baae38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ba75ae16dd78463c2e088ea7e277da.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492b0c04dc0a5bf9d38f92e32b3d88d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f399daf0a94f169947a4b04009d3917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e08727686048cc462f93aec867d7706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d7b064325152aef92064133866dc4c.png)
您最近一年使用:0次