已知集合
,集合A中所有元素的乘积称为集合A的“累积值”,且规定:当集合A只有一个元素时,其累积值即为该元素的数值,空集的累积值为0.设集合A的累积值为
.
(1)若
,则这样的集合A共有___________ 个:
(2)若
为偶数,则这样的集合A共有___________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4b3ad21035161264b14aa55320385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
更新时间:2022-10-08 19:40:38
|
相似题推荐
填空题-单空题
|
适中
(0.65)
【推荐1】设集合
,
,
,则集合
的真子集个数为________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e301a893b4e5f9ed35fd913db9c32c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6deb420e37b7ca7334fb74ddb899119c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b46ad694f95a181a7c9a4799824dda61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
名校
【推荐2】已知集合
,对于它的任一非空子集
,可以将
中的每一个元素
都乘以
再求和,例如
,可求得和为
,对
的所有非空子集,这些和的总和为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b571ecde2ea892a129b9179640276d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6eb4aede87384a1a664f8193006632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8656d50412c0630b776d57a33ef67546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0321503421bc0517be3f4b110b121d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
填空题-双空题
|
适中
(0.65)
【推荐1】若三个非零且互不相等的实数
,
,
满足
,则称
,
,
是调和的;若满足
,则称
,
,
是等差的.若集合
中元素
,
,
既是调和的,又是等差的,则称集合
为“好集”,若集合
,集合
,则(1)“好集”
中的元素最大值为__ (2)“好集”
的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9441b9ef89b66a2f7821c0f57d3ec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02746ec8e4220d8b4a174d5e9a711ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d68e6108cc8ee6dd56ca8161bc03d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17fab19008d7de7f55d3f8a31447bca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
解题方法
【推荐2】设M、P是两个非空集合,定义M与P的差集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473ff184f420ebf23070d32a904b0282.png)
且
,那么集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396431e3971f277663c43e877c7dc510.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473ff184f420ebf23070d32a904b0282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9dc7bd7768dc79dd78804339dfd934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450c12c5b477024d9daba4ccf36ca7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396431e3971f277663c43e877c7dc510.png)
您最近一年使用:0次