名校
1 . 已知
,
是
的子集,定义集合
,若
,则称集合A是
的恰当子集.用
表示有限集合X的元素个数.
(1)若
,
,求
并判断集合A是否为
的恰当子集;
(2)已知
是
的恰当子集,求a,b的值并说明理由;
(3)若存在A是
的恰当子集,并且
,求n的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd261358114fe2d2106376b86577dd6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de04e7bd1c120d55e09bc0ee11be3fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57880ac18aed3eef69c1a762d09bd281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10938a26383470fe22142017fcaf2fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37765d2927d24d4b582423c843aebcd4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fb97962a729a7a5ec1e311c8f3be9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6398ba56f5a708d2d85a02320e1a389d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dec17407438d4fe273345a03ad77a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194592cb77de8a597d5d64e1c85c3249.png)
(3)若存在A是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2734b136f9961df15bb51c31e29e28.png)
您最近一年使用:0次
2023-11-25更新
|
213次组卷
|
2卷引用:北京市顺义牛栏山第一中学2023-2024学年高一上学期期中考试数学试题
名校
2 . 小华同学学完集合的基本运算后,自己定义了如下集合运算:
且
,小华列举了如下命题:
①任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86226e5a06894e5c79443dd11301906.png)
②任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c99aba48aeaf828dff4b78b2be7c4f.png)
③任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14740a7d5ae646ae5df77b9b1da491a2.png)
④若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3965328b0ac0b62252134c8ccd05512.png)
其中,所有正确命题的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7d57c35075ba85f4e524d06fb4cffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
①任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86226e5a06894e5c79443dd11301906.png)
②任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c99aba48aeaf828dff4b78b2be7c4f.png)
③任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14740a7d5ae646ae5df77b9b1da491a2.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3965328b0ac0b62252134c8ccd05512.png)
其中,所有正确命题的序号是
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名校
解题方法
3 . 已知
为实数数组,定义集合
,给定正整数m,若
,则称A为
连续生成数组.
(1)判断
是否为
连续生成数组?是否为
连续生成数组?说明理由;
(2)若
为
连续生成数组,求
的值,并说明理由;
(3)数组
是否为
连续生成数组?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ae7c0278483549695d65b1faf5d856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a9856e71c2235898b9ae8dd5b511df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66383c85540d787a9554f881e2599383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb654dbe976f077495105b21b7963d0f.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4527a28b17b82e1a9c4036294529ba6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3071dd7848459f70f912d758466b12b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da92a00c5e0121accc325e50f6492fe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b94c86d13f5934d26b946c119e28f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da92a00c5e0121accc325e50f6492fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)数组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ae7c0278483549695d65b1faf5d856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105a4a76bb426a85ba65255ded2147f3.png)
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