名校
1 . 已知集合
中的元素有
个且均为正整数,将集合
分成元素个数相等且两两没有公共元素的三个集合
,即
,其中
.若集合
中元素满足
,则称集合
为“完美集合”.
(1)若集合
,判断集合
和集合
是否为“完美集合”?并说明理由.
(2)若集合
为“完美集合”,求正整数
的值以及相应的集合
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072456c2f75cb312d23521ad1548f0e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e015940f72168d2f3906aefaf0a58ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dec3a06475f7a53bd370659938ca69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed9f6a5f6671456169b74b83132762c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435a4ea469b64776155d8f52e651c165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bc70fdaa725f9350b5a3356edeeb52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
您最近一年使用:0次
2023-10-10更新
|
196次组卷
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3卷引用:新疆维吾尔自治区乌鲁木齐市第101中学2023-2024学年高一上学期期末数学试题