名校
1 . 对于正整数集合
,如果去掉其中任意一个元素
之后,剩余的所有元素组成的集合都能分为两个交集为空集的集合,且这两个集合的所有元素之和相等,就称集合
为“和谐集”.
(
)判断集合
是否是“和谐集”(不必写过程).
(
)请写出一个只含有
个元素的“和谐集”,并证明此集合为“和谐集”.
(
)当
时,集合
,求证:集合
不是“和谐集”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9a40d9006d3e9ef471da620a636b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e053f60d2756b7d952f4fd3d547c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b07a67307d5d4627efa688b30e5573.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ec5e58ce0ca1d903b509043df31a6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2018-07-02更新
|
1560次组卷
|
8卷引用:【全国百强校】北京东城北京二中2017-2018学年高二上学期期中考试数学(理)试题
【全国百强校】北京东城北京二中2017-2018学年高二上学期期中考试数学(理)试题人教A版(2019) 必修第一册 突围者 第一章 易错疑难集训(一)(已下线)1.2集合间的基本关系-2021-2022学年高一数学同步辅导讲义与检测(人教A版2019必修第一册)北京市西城区北京师范大学第二附属中学2021-2022学年高一上学期期中数学试题北京市大峪中学2022-2023学年高一上学期期中考试数学试题(已下线)高一上学期期中【压轴60题考点专练】(必修一前三章)-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)北京市人大附中北京经济技术开发区学校2023-2024学年高一上学期期中考试数学试题(已下线)期中真题必刷压轴60题(15个考点专练)-【满分全攻略】(人教A版2019必修第一册)
2 . 已知集合A为非空数集.定义:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d0e7221341950bd4e1f93a803b9801.png)
(1)若集合
,直接写出集合S,T;
(2)若集合
且
.求证:
;
(3)若集合
记
为集合A中元素的个数,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d0e7221341950bd4e1f93a803b9801.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f0e502a03ff4b6a9f6fd29b8034992.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5e47c9f736eabab184039643c34ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76ad1e03a6ba59e8164e37c5e7e063e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5a7e700e4c1d41bb3bb8be9f55580b.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa47f7e9136938b09be369fce567669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b5214a796412b3df9f716da0bf339b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b5214a796412b3df9f716da0bf339b.png)
您最近一年使用:0次
3 . 在二维空间即平面上点的坐标可用两个有序数组
表示,在三维空间中点的坐标可用三个有序数组
表示,一般地在
维空间中点A的坐标可用n个有序数组
表示,并定义n维空间中两点
,
间的“距离”
.
(1)若
,
,求
;
(2)设集合
.元素个数为2的集合M为
的子集,且满足对于任意
,都存在唯一的
使得
,则称M为“
的优集”.证明:“
的优集”M存在,且M中两不同点的“距离”是7.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b525d8c768efd801ab58bc4c0da9221e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3957b7fdba61064a1d8990d880894678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97de4e0337716e1d89eb1a6cfd7b8335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c6b5e2477070d935260db8c0f4731b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9621fabd914377b322701e2689cc912c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f111ae47bbcf70999e41743385cdc5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe8eaa058fb6ca849782169fc1d94f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4d59b92bf91197446d86893fb9a0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de67567843bcb8dc4cd20f44e1558f9c.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e73be3272a6edfed21c3ecdc48cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5b75656c76ce2e9ac0f0c213a6cbe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24fd7b7df5b43336d3219f16b3ce6733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f80fced6fa7e6adc72c80228443885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9591c25ee33bd1cb77bb0df04b531fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5b75656c76ce2e9ac0f0c213a6cbe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5b75656c76ce2e9ac0f0c213a6cbe9.png)
您最近一年使用:0次
4 . 设集合S中的元素全是实数,且满足下面两个条件:
①
;②若
,则
.
(1)求证:若
,则
;
(2)若
,则在S中必含有其他的两个元素,试求出这两个元素.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b370157afe7d609dde703d1821b739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09256752badab8d69ae679796896ed97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6db9323925a78926837d0870f2906b.png)
(1)求证:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09256752badab8d69ae679796896ed97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59292338a61c81abb31c04eebe73c033.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ea9a804573617cb3e9414c9a74925b.png)
您最近一年使用:0次
2023-08-29更新
|
608次组卷
|
7卷引用:北师大版(2019) 必修第一册 数学奇书 学业评价(一)集合的含义
北师大版(2019) 必修第一册 数学奇书 学业评价(一)集合的含义(已下线)1.1.1 集合及其表示方法(第1课时)-高一数学同步精品课堂(人教B版2019必修第一册)(已下线)高一上学期期中复习【第一章 集合与常用逻辑用语】十大题型归纳(基础篇)-举一反三系列(已下线)专题01 集合及集合运算求参(2)(已下线)高一上学期期末复习【第一章 集合与常用逻辑用语】基础-举一反三系列(已下线)专题01 集合及集合运算求参(2)-【寒假分层作业】(人教A版2019必修第一册)(已下线)1.1 集合的概念【第三练】
名校
解题方法
5 . 已知
为有穷正整数数列,且
,集合
.若存在
,使得
,则称
为
可表数,称集合
为
可表集.
(1)若
,判定31,1024是否为
可表数,并说明理由;
(2)若
,证明:
;
(3)设
,若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67905ad53186bb2908b603bc14005d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702dcfe2523f774f6bc4f075f3d24fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80566aaf96db9c785cda10dc0935c1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84076d0854ef7c1a99a937fd50b25843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6985405452b5d04bd0d3305544cc2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54119668d2f6cbc9ce0cb92310037713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b83efe191fb8adaf89737c03ef34d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ebfe653088b1a534d0731947db43d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562441c2767a65f3671afa93b190126b.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffceb52b543819898a9a6fc96d7337e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7eab142f716f69be57d3f4ca2197894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-01-20更新
|
1487次组卷
|
7卷引用:北京市昌平区2024届高三上学期期末质量抽测数学试题
名校
解题方法
6 . 已知
是非空数集,如果对任意
,都有
,则称
是封闭集.
(1)判断集合
是否为封闭集,并说明理由;
(2)判断以下两个命题的真假,并说明理由;
命题
:若非空集合
是封闭集,则
也是封闭集;
命题
:若非空集合
是封闭集,且
,则
也是封闭集;
(3)若非空集合
是封闭集合,且
为全体实数集,求证:
不是封闭集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13a814f8e081078dcf3788177affcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6493575a2d595bebd8e813c3d79fb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8bb6359407782248c8be98288b1791e.png)
(2)判断以下两个命题的真假,并说明理由;
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2646f41226f24960a6186dc7860ef45.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8543bb9be52b25cf5be0a39110c9e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b76d26b78e63683dfacf10d3da6d74d.png)
(3)若非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ba5283c1fa3bf7896113cd79e9c31d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
您最近一年使用:0次
2023-01-06更新
|
790次组卷
|
8卷引用:北京市顺义区2022-2023学年高一上学期期末质量监测数学试题
北京市顺义区2022-2023学年高一上学期期末质量监测数学试题第一章 预备知识 测试卷-2022-2023学年高一上学期数学北师大版(2019)必修第一册(已下线)1.1集合的概念(分层作业)-【上好课】湖南省岳阳市2022-2023学年高一下学期期中数学试题(已下线)1.3 集合的基本运算(精练)-《一隅三反》(已下线)专题02 高一上期中真题精选-期中考点大串讲(人教A版2019必修第一册)(已下线)专题1 集合新定义题(九省联考第19题模式)练(已下线)周测1 集合与常用逻辑用语 一轮周测卷(提升卷)
名校
7 . 设集合
为
元数集,若
的2个非空子集
满足:
,则称
为
的一个二阶划分.记
中所有元素之和为
中所有元素之和为
.
(1)若
,求
的一个二阶划分,使得
;
(2)若
.求证:不存在
的二阶划分
满足
;
(3)若
为
的一个二阶划分,满足:①若
,则
;②若
,则
.记
为符合条件的
的个数,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e05aa7f57c4914f5248f44b09def2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.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/20106a23af649dffb3571082e5a9cfdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09f78031a7d18c8f8ddf04bffd1871.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43de850d8546d0933b37846a84f90bc5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76be59eef5f019579f1f5b936b98b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41212f1139ba1b062d7f40ec7120a9bf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12f339b0f68f0739fdfcb39ec4f7eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10732f3fb10019cb15c3c46d118f7da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f19c9afadbf80e1e6b5b3a673e6270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
您最近一年使用:0次
2023-07-17更新
|
566次组卷
|
5卷引用:北京市顺义区2022-2023学年高一下学期期末质量监测数学试题
北京市顺义区2022-2023学年高一下学期期末质量监测数学试题重庆市南开中学校2023-2024学年高一上学期开学考试数学试题(已下线)难关必刷01集合的综合问题(3种题型40题专项训练)-【满分全攻略】(人教A版2019必修第一册)(已下线)第三章 函数的概念与性质-【优化数学】单元测试能力卷(人教A版2019)(已下线)专题03 函数的概念与性质3-2024年高一数学寒假作业单元合订本
8 . 已知集合S满足:若
,则
.请解答下列问题:
(1)若
,则S中必有另外两个元素,求出这两个元素.
(2)证明:若
,则
.
(3)在集合S中,元素能否只有一个?若能,把它求出来;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09256752badab8d69ae679796896ed97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6db9323925a78926837d0870f2906b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ea9a804573617cb3e9414c9a74925b.png)
(2)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09256752badab8d69ae679796896ed97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59292338a61c81abb31c04eebe73c033.png)
(3)在集合S中,元素能否只有一个?若能,把它求出来;若不能,请说明理由.
您最近一年使用:0次
9 . 若集合
具有以下性质:①
,
;②若
,
,则
,且
时,
.则称集合A是“好集”.
(1)分别判断集合
,有理数集
是不是“好集”,并说明理由;
(2)设集合
是“好集”,求证:若
,
,则
;
(3)对任意的一个“好集”
,分别判断下面命题的真假,并说明理由.
命题
:若
,
,则必有
;
命题
:若
,
,且
,则必有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2faf3937abcb6a59071c17bc6bb10f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a2410ce34b36954ed4923e600d42f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e63c91626ffa91e590925e6f206c3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46de01c5104b9112a688df37eadb000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd77104cc745d1e0e262122da34482d.png)
(1)分别判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05551b1d4b65f27a932c33ddb1cb6ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e63c91626ffa91e590925e6f206c3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957d41dbe52b49c3a7339e3519a3fe84.png)
(3)对任意的一个“好集”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e63c91626ffa91e590925e6f206c3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae4f0ccdfc1206d809e581449d0452e.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e63c91626ffa91e590925e6f206c3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7d8e85b211a6d2aefa223c05c064ca.png)
您最近一年使用:0次
名校
10 . 已知集合
,规定:若集合
,则称
为集合
的一个分拆,当且仅当:
,
,…,
时,
与
为同一分拆,所有不同的分拆种数记为
.例如:当
,
时,集合
的所有分拆为:
,
,
,即
.
(1)求
;
(2)试用
、
表示
;
(3)设
,规定
,证明:当
时,
与
同为奇数或者同为偶数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb813e225b094c636d38d0e0cfbd67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea40e6c6055a63e7934f614e878940ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d114f15fa1bab95c647f87cedab26b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c3c3b06e4d829c5967bd76ab3d14ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623ff4c4d26a22d8ab9e6a70cadf6623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28faa23f36fcfc2aef9cc68f46b1c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d114f15fa1bab95c647f87cedab26b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdc216147253ff9697788764dc1ab93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8a97f873310fac16b20d730f7c4e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a871a43ca9e77e26f5c6b680c165e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b704d8979f50009bcb3ec36a07864d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1fdd193767192adc5adcd772ae2b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da1c8d2d0ddab6eed4da334b0446849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a045201f479d99c868e5bac5632b211.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe036f3bc2712beea23557116fdac74c.png)
(2)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8a97f873310fac16b20d730f7c4e29.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9acc25eced79e4d6973d2edeb5628c92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ba78808895f5e4bd393fe7aa5b9a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac49ab7c8001c209b8611b9ea40d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bb215f28e5eea7ff4c7ca5ee9e2216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-02-07更新
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1135次组卷
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8卷引用:上海市实验学校2022-2023学年高二上学期期末数学试题
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