解题方法
1 . 已知集合
,集合
或
,集合
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6db7770a50ae2d290409e15a95b319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a884b4f8abcd59336c71e5429fa75fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a8f1824ab762a29a8c9fd7a9ae0f23.png)
A.集合![]() |
B.![]() |
C.![]() |
D.![]() ![]() |
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名校
2 . 已知
,对于有限集
,令
表示集合
中元素的个数.例如:当
时,
,
.
(1)当
时,请直接写出集合
的子集的个数;
(2)当
时,
,
都是集合
的子集(
,
可以相同),并且
.求满足条件的有序集合对
的个数;
(3)假设存在集合
、
具有以下性质:将1,1,2,2,··,
,
.这
个整数按某种次序排成一列,使得在这个序列中,对于任意
,
与
之间恰好排列
个整数.证明:
是4的倍数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54d5262a2b9c5f9414e590a614cf4c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe2ecc1431daa3d31c1fa94d0c38b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9387062f286152ca34cc40621fb5a5f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cecd12504283118ed6bef7eafa123c4e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.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/0b68df477b3ee45ac0f725db00d465a1.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/f9b6d21c9d991e18d644b72afba4e88b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41be4f4fbf21555f325caf280c392c00.png)
(3)假设存在集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe2ecc1431daa3d31c1fa94d0c38b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe2ecc1431daa3d31c1fa94d0c38b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f3d9e6b9e450e436227d6b2e2a3e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f338dcaa1aebbfe470899cc2544edd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de05de2e0a7cccae0e2e39650385c34f.png)
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