名校
解题方法
1 . 已知
.
(1)设
,若关于
的不等式
的解集为
,且
的充分不必要条件是
,求
的取值范围;
(2)方程
有两个实数根
,
①若
均大于
,试求
的取值范围;
②若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d396d55c8608b764a6d59ecc123990a.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eace589088fbc565184fd9d28632618f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78394952b99bfd9ac4c437673d27fdfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71189f1e9be8b9c4b18a62d29d0f1f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-09-06更新
|
1610次组卷
|
9卷引用:黑龙江省哈尔滨市哈尔滨师范大学附属中学2023-2024学年高一上学期10月月考数学试题
黑龙江省哈尔滨市哈尔滨师范大学附属中学2023-2024学年高一上学期10月月考数学试题重庆市2023-2024学年高一上学期入学考试模拟数学试题四川省眉山市仁寿第一中学南校区2023-2024学年高一新生上学期入学考试数学试题(已下线)重难点03 从集合的角度理解充分条件、必要条件、充要条件(2)-【帮课堂】(苏教版2019必修第一册)(已下线)高一上学期期中考试解答题压轴题50题专练-举一反三系列湖南省郴州市嘉禾县第六中学2023-2024学年高一上学期第一次月考数学试题辽宁省六校协作体2023-2024学年高一上学期10月联考数学试题重庆市荣昌中学校2023-2024学年高一上学期期中数学试题(已下线)高一数学上学期期中考试模拟卷-【巅峰课堂】热点题型归纳与培优练
名校
解题方法
2 . 已知全集
,集合
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/5b261d41-a804-4bcf-bbd7-358848650161.png?resizew=158)
(1)求
;
(2)如图阴影部分所表示的集合
可以是 (把正确答案序号填到横线处),并求图中阴影部分表示的集合
;.
①
②
③
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/546e62b9fd731a94031e88d7d94afd86.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/5b261d41-a804-4bcf-bbd7-358848650161.png?resizew=158)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)如图阴影部分所表示的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a837fe2a44f9c5ba2499e45f7056f690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b243e0fd939bd8689819104c49b2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9ee4df3cd0c5982eec8be19e136130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd1315ef75fa8897d12759b3aef5c45.png)
您最近一年使用:0次
名校
解题方法
3 . 设
,记
,若
,
,则称A为
中的一个移位集,
为A的一个移位数.记A中的元素个数为|
.
(1)判断下列集合是否是
中的移位集.若是,求出相对应的移位数.
①
,
②
;
(2)若
中所有满足
的集合A都是移位集,求m的最大值;
(3)对任意满足
的集合A都是
中的移位集,求n的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b8b0bc774a1a88cea41abb4e47e3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b938a9b748bf1590ea5a6652669643c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d5fa78bfaa823a1d09ab57208532d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2fc2224e26690053448db851fbcbe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9fd58e71dcae6cafaf9037d20ebd76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4978089eb165d2241a35275396794d06.png)
(1)判断下列集合是否是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48e81b54f78b96294295542b010dfb.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b89a8282cafe1769891b39ec8c0102.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f255c4c9acc49c187ab5990228480c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df91ed9bc04acc7b2edb6b522b953efb.png)
(3)对任意满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500aee7a5f2fa5c8cfc6f55b66546024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2021-10-27更新
|
1046次组卷
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4卷引用:黑龙江省哈尔滨市第三中学2021-2022学年高一上学期第一次验收考试数学试题
黑龙江省哈尔滨市第三中学2021-2022学年高一上学期第一次验收考试数学试题江西省吉安市第三中学2021-2022学年高二10月第一次段考数学(理)试题(已下线)突破1.3集合的基本运算(重难点突破)(已下线)第1章 集合与常用逻辑用语(基础、典型、新文化、压轴)分类专项训练-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)
名校
4 . 设集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3c579aa1517809c2f1667dac9eb9ad.png)
(1)证明:若
,
,则
,
;
(2)若
,
,则
是否仍属于
?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3c579aa1517809c2f1667dac9eb9ad.png)
(1)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f96f782339ca1f002e91f17675d5574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d7facd1aac5d37c7f2e673289f52f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8dc26839e528cfb238306612d01182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72096d8cd7eb362fe56ad4c82f4adfd6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f96f782339ca1f002e91f17675d5574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d7facd1aac5d37c7f2e673289f52f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363bd336b6b5238255165c1285e95a2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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