名校
1 . 已知集合
,
,那么
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515d2820ddce09e21a6e12c4e1e592e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced20d152e8eac22ccbe1ea6e7a87065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-08-27更新
|
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5卷引用:北京市延庆区2020-2021学年高二下学期期中考试数学试题
名校
2 . 已知集合
.对于
,定义:
与
的差为
;
与
之间的距离为
.
(1)当
时,设
,求
;
(2)若对于任意的
,有
,求
的值并证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4064df6eecf5283706a8ab2abbddad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a399c4f94df181a7527ff028b3b40ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becab20e5cae4a3ad36eb9be7e1a5e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/badd0969b43deabb1e8f3fcca73ce1c5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a59b86d73479a6550e86eadb20b39d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cf5b4308f0a73d645704d1dfe9b9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c11e3798218ef9e0c49b1362403f4f.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81345ca73b711411e665820b5672913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a0663324985d2901305e58b066e763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8513f18376e4e456b939d0f1cdb6e602.png)
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2021-01-31更新
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587次组卷
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5卷引用:北京市延庆区2021-2022学年高二下学期期末数学试题
北京市延庆区2021-2022学年高二下学期期末数学试题北京市昌平区2020-2021学年高一上学期期末质量抽测数学试题(已下线)第一章 集合与常用逻辑用语(选拔卷)-【单元测试】2021-2022学年高一数学尖子生选拔卷(人教A版2019必修第一册)北京市北京师范大学附属实验中学2022-2023学年高一上学期期中考试数学试题河南省新乡市原阳县第一高级中学2023-2024学年高一上学期1月月考数学试题
名校
解题方法
3 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecbb8b177ac352cb3c286645209f135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09ff82783467429c2472077719595e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5e8276ed1cc0944990c00499234f59.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-11-15更新
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415次组卷
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3卷引用:北京市延庆区2019-2020学年高二下学期期末考试数学试题
4 . 已知全集
,集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af762e7fadd86a5163b6f28f210f13dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa7a0cbf4a8a532bb9da02292826338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67070a68185686687076d9b73c49a441.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 设全集
,集合
,
,则集合
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6462883a35f870b5ad306c78c078b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b365e8c6aa463d0d8349d445cb550c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ece9e697a014e95645f6db6a65a6a0d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-07-23更新
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2卷引用:北京市延庆区2019-2020学年高二下学期期末考试数学试题
11-12高三下·北京海淀·期中
名校
解题方法
6 . 已知函数
,
则(ⅰ)
= ;
(ⅱ)给出下列三个命题:
①函数
是偶函数;
②存在
,使得以点
为顶点的三角形是等腰直角三角形;
③存在
,使得以点
为顶点的四边形为菱形.
其中,所有真命题的序号是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0ce930f9bc1a4f1b2393e66163ba7e.png)
则(ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e56e3224d58e0cfd256493f3fc63df.png)
(ⅱ)给出下列三个命题:
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea3dc8a58464d713f4efdaa5f7b36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915d38d4697388d173768b2f23115f6f.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd9f4f1aa77bde1071e6b389b143a2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a291710ca6e7e8b95aee704f1b37bb1.png)
其中,所有真命题的序号是 .
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2017-12-25更新
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5卷引用:北京市延庆区2021-2022学年高二下学期期末数学试题