名校
1 . 已知有限集合
,定义如下操作过程
:从
中任取两个元素
、
,由
中除了
、以外的元素构成的集合记为
;①若
,则令
;②若
,则
;这样得到新集合
,例如集合
经过一次操作后得到的集合可能是
也可能得到
等,可继续对取定的
实施操作过程
,得到的新集合记作
,……,如此经过
次操作后得到的新集合记作
,设
,对于
,反复进行上述操作过程,当所得集合
只有一个元素时,则所有可能的集合
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91cad2d17a76b59c35e5568ae94bbab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e74a53b443fe1b4e68f15517fe615e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f52783e7a39f438adf08ef7d05d8c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9553cec51b508143a367c4a9daa17c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/682b374037dd56ab53d9308f44230068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50e57a5236bd0563182511bf0f2902a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ad06aef621f76cd7761dcf224af0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150c00670642d60bb4459bf6d2ca1ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6904797da5330bab047b695df7ba11d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533293cde0852cf1dfdb649412c452b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7f2c72ab559a0615db4c51327b78d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f538b5f31197347d360938a5e535506e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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