名校
解题方法
1 . 已知集合
,集合
,
(1)求集合B(用区间表示)
(2)若
,求实数a的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89a043bcf99595137337cd89c7c6c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5889385ddfa432860a7a2bde8b1e37.png)
(1)求集合B(用区间表示)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
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名校
2 . 已知数列
的通项公式为
.
(1)分别求
的二项展开式中的二项式系数之和与系数之和;
(2)求
的二项展开式中的系数最大的项;
(3)记
,求集合
的元素个数(写出具体的表达式).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3e89305076f56504692224c6c25c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f8953856b89da074a14618bc8bb98b.png)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd86c94270602eb731ff78f9ffbb940.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014ceeaa474cc53fc5e5ae6f887ec876.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f0f6b1505ade20c1a0c63d40fa5d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23583bb045f087b36e7491c379869188.png)
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名校
3 . 一只蜜蜂从蜂房
出发向右爬,每次只能爬向右侧相邻的两个蜂房(如图),例如:从蜂房
只能爬到1号或2号蜂房,从1号蜂房只能爬到2号或3号蜂房........此类推,用
表示蜜蜂爬到
号蜂房的方法数.设集合
,集合
是集合
的非空子集,则
中所有元素之和为奇数的概率为________ .
![](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/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9509baa71a1357e58fd0ab5365b354f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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4 . 已知集合
,那么
的真子集有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17fa273c7e3cfac49fb4b966c4734248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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5 . 若集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad7a24347301546a867d17ce29934f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4324a9e13d4b1355662c8ded8d161b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
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解题方法
6 . 已知全集
,集合
为
的子集,则有序集合
一共有______ 组.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568b0c2642aa8e9cdf4d05b1321ba263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d247ffb2774bb7e22708b25daf7f0.png)
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解题方法
7 . 已知集合
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c61ff81796bf2917f60e1526bf0ca57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2024-04-08更新
|
513次组卷
|
2卷引用:上海市闵行(文琦)中学2023-2024学年高二下学期3月月考数学试题
8 . 已知集合,集合
,则
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9 . 设集合且
,则集合
中元素个数为
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10 . 已知
,
,则
可用列举法表示为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f75ee0afa8fc289cce82d02850dc8a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9e6ad1166c7625e63b80e75b2fb1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9ff1494aff8a77e966309025244bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1de657294cd6f13fbb73736409a2e0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f75ee0afa8fc289cce82d02850dc8a.png)
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