名校
解题方法
1 . 设
,若非空集合
同时满足以下4个条件,则称
是“
无和划分”:
①
;
②
;
③
,且
中的最小元素大于
中的最小元素;
④
,必有
.
(1)若
,判断
是否是“
无和划分”,并说明理由.
(2)已知
是“
无和划分”(
).
①证明:对于任意
,都有
;
②若存在
,使得
,记
,证明:
中的所有奇数都属于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8559db5cec89fb0ed29e8be8fdb0b1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03710ecc47ca36cb01c337a71d300974.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6e72a98cbc82cb24cb85aa3ab837f5.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a2410ce34b36954ed4923e600d42f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e006283149b3d1662205b5271dd69db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f045d0c3275b992d4a4f90dcd20e63.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408f3365f7c6767cd3f006022ee22413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da92a00c5e0121accc325e50f6492fe.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8559db5cec89fb0ed29e8be8fdb0b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
①证明:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb6b675fa03f7268b8cbd1f1d91bd27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4003dc977c4cacda932927eed9c9d10.png)
②若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8457b5be40500d437a83bb12e488b5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bd7ed301e00171b88549a8deb65035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5203c10c41f8b8aaa4c9cc90f1f3271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2024-06-10更新
|
120次组卷
|
2卷引用:北京市丰台区2023-2024学年高一上学期期末练习数学试卷
名校
解题方法
2 . 已知集合
为非空数集,定义:
,
(1)若集合
,直接写出集合
(无需写计算过程);
(2)若集合
,且
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
(3)若集合
,记
为集合
中的元素个数,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/312ab0127457545c7bac2193505e0a6b.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e8d171c3d2d86dc5594cffb51096fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a44fa352255b81702d306cb32cf468.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77239c98c78a026cc03336edca067ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76ad1e03a6ba59e8164e37c5e7e063e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df87128f2e2850f12dc88216def10cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8279d9dd0b7750953cb9e2098b3b90.png)
您最近一年使用:0次
2023-09-17更新
|
359次组卷
|
3卷引用:上海市高桥中学2023-2024学年高一上学期月考(一)数学试题
上海市高桥中学2023-2024学年高一上学期月考(一)数学试题(已下线)高一上学期期中考试解答题压轴题50题专练-举一反三系列北京市中央民族大学附属中学(朝阳)2023-2024学年高一上学期期中考试数学试题
3 . 已知集合
是集合
的子集,对于
,定义
.任取
的两个不同子集
,
,对任意
.
(1)判断
是否正确?并说明理由;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d39a39a70dacd0402f6fdd59a0e879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc718cf6749da06b2dd90e9b2751854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1171081d25910d6bb0bf9d32e82e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d39a39a70dacd0402f6fdd59a0e879.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/0fc718cf6749da06b2dd90e9b2751854.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ac3d72ad811d426884f100f32aa0a2.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4090eff6726fa4e3a32655b3fba41abe.png)
您最近一年使用:0次
4 . 对于任意有限集
,定义集合
表示
的元素个数.已知集合
为实数集
的非空有限子集,设集合
.
(1)若
,求集合
和
;
(2)已知
为有限集,若
,证明:
.
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185f1dec719b499d236ee7accaed0907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c7673f4ca064bb1097f95523bf47cc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab403f48a374c87fefc0c24923a063a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9281c61411eceeecf11c1f6ac31c2eec.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccd49c9b9e3663880dac5b3029972a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2198afa66c6a0cf4bb1698884da212.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09231ce23847f1780d130475ee341c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ddc772b27a6a72d3d6295f75e21298.png)
您最近一年使用:0次
2022-11-11更新
|
492次组卷
|
5卷引用:上海市行知中学2022-2023学年高一上学期期中数学试题
上海市行知中学2022-2023学年高一上学期期中数学试题北京市陈经纶中学2022-2023学年高一上学期12月诊断数学试题(已下线)单元高难问题01集合中的新定义问题-【倍速学习法】(人教A版2019必修第一册)(已下线)期中真题必刷压轴30题-【满分全攻略】(沪教版2020必修第一册)(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)
5 . 已知集合
,
,
,且集合D满足
,
.
(1)求实数t的值:
(2)对集合
,其中
,定义由A中的元素构成两个相应的集合中:
,
,其中
是有序数对,集合S和T中的元素个数分别为m和n,若对任意的
,总有
,则称集合A具有性质P.
①请检验集合
与
是否具有性质P,并对其中具有性质P的集合,写出相应的集合S和T;
②试判断m和n的大小关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3010f543afc5dc2a5aa05b57733d6222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20bcf4b26b49a163924e15b1a481b7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7edb1d3ea61fc8074dd93b96680430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5d8c14601bfbb14edcab1a040f118f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6678d814827717bafcb3d2c97a93fd3b.png)
(1)求实数t的值:
(2)对集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa3deeb60ea4e755eac7c7a4340e4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d807832357bea22a266e63cbd7e678a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbafdbf1551f1189b7bee68792ee1f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512a72ad5c5b298846ec842ec3ac0957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2cacc52ffe015e828a4a5f2fe5ae4f.png)
①请检验集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709a1f33195ab62f2da488b27a219c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84601c1ff9db2761531f127cd020dd59.png)
②试判断m和n的大小关系,并证明你的结论.
您最近一年使用:0次
18-19高一上·北京·期中
名校
解题方法
6 . 给定数集A,若对于任意a,
,有
,
,则称集合A为闭集合.
(1)判断集合
,
是否为闭集合,并给出证明;
(2)若集合C,D为闭集合,则
是否一定为闭集合?请说明理由;
(3)若集合C,D为闭集合,且
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb9df3a17aa370eba2add2c13cfc2619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7459675b810cf0b84696762ffc5c12f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af08c31cb7887fad0ace3ad9fab61dd.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10b6c92b451ea80e63cbefd44c3681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e06607d8d217bce265fe228bd9401c.png)
(2)若集合C,D为闭集合,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84601c1ff9db2761531f127cd020dd59.png)
(3)若集合C,D为闭集合,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6857a6ef1ed2aeba64cd5c6dfd039dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
您最近一年使用:0次
2022-08-28更新
|
2689次组卷
|
16卷引用:【全国百强校】北京市北京第四中学2018-2019学年高一上学期期中考试数学试题
(已下线)【全国百强校】北京市北京第四中学2018-2019学年高一上学期期中考试数学试题人教A版(2019) 必修第一册(上) 重难点知识清单 第一章 集合与常用逻辑用语 单元复习测试安徽省阜阳市太和第一中学2020-2021学年高一上学期10月月考数学试题(已下线)第一单元 (综合培优)集合与常用逻辑用语 B卷-【双基双测】2021-2022学年高一数学同步单元AB卷(人教A版2019必修第一册)河南省林州市第一中学2021-2022学年高一上学期开学检测(普通班)数学试题北京市第一六一中学2021-2022学年高一上学期期中阶段测试数学试题(已下线)第一章 集合与常用逻辑用语章末测试(章末测试)-【上好课】2021-2022学年高一数学同步备课系列(人教A版2019必修第一册)(已下线)专题1.12 集合与常用逻辑用语 全章综合测试卷-提高篇北师大版(2019) 必修第一册 名校名师卷 专题一 集合与常用逻辑用语2023版 苏教版(2019) 必修第一册 名校名师卷 专题一 集合与常用逻辑用语苏教版(2019) 必修第一册 突围者 第1章 章末培优专练集合新定义题型专练2023版 湘教版(2019) 必修第一册 名师精选卷 第一章 集合与常用逻辑用语北京市八一学校2022-2023学年高一上学期10月月考数学试题湖北省十堰市天河英才高中2022-2023学年高一上学期9月月考数学试题(已下线)专题01 含参数与新定义的集合问题-2022-2023学年高一数学新教材同步配套教学讲义(苏教版2019必修第一册)
7 . 给定正整数
,集合
,若存在集合A,B,C,同时满足下列条件:①
,且
;②集合A中的元素都为奇数,集合B中的元素都为偶数,所有能被3整除的数都在集合C中
集合C中还可以包含其他数
;③集合A,B,C中各元素之和分别记为
,
,
,有
,则称集合
为可分集合.
(1)已知
为可分集合,写出一组满足条件的集合A,B,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471a6f260c478862141ca5fcf654e05e.png)
(2)求证:若n是3的倍数,则
不是可分集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a140d6d30530e4f67c8325308d476.png)
(3)若
为可分集合且n为奇数,求n的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac724d00ff62af81aa435c87817de866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed712132fb66567e4e806eaf21af7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459af7df9f13eafa5f85c85f996c647f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319b6a5373bc8eb13772b8e6d047779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea3c7cd2f23b4521e64a7e64844ec48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089e8a7f6c535fc3cd270af428d55f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2361c60ae76195982a221de8a380b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfadf7483681e66386d3a4cc2a6f818b.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfadf7483681e66386d3a4cc2a6f818b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471a6f260c478862141ca5fcf654e05e.png)
(2)求证:若n是3的倍数,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfadf7483681e66386d3a4cc2a6f818b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a140d6d30530e4f67c8325308d476.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfadf7483681e66386d3a4cc2a6f818b.png)
您最近一年使用:0次
2021-08-29更新
|
381次组卷
|
3卷引用:1.3 交集、并集-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)
(已下线)1.3 交集、并集-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)北京市北京交通大学附属中学2022届高三上学期开学考试数学试题北京市第一七一中学2023届高三上学期期中数学质量检测试题
8 . 对于有限个自然数组成的集合
,定义集合
,记集合
的元素个数为
.定义变换
,变换
将集合
变换为集合
.
(1)若
,求
;
(2)若集合
,证明:
的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69154dbf052ecb6866028801051aa0e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0928441297e887330350a46dd2b40841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4f30fe128cb72f71b144937e4093d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b403fc36865ed11b00995a8321e52b9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/928a2f491d5b6e5acb87888663aec0ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344d95d02bc0b476768fabe18105289b.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8f14b19f026b10473b3377b3fbf342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811a0f2a63600129f7143128884dd144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2216940861922a85b6a947a4317ef753.png)
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2021-08-28更新
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1090次组卷
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7卷引用:安徽省合肥市第一中学2020-2021学年高一上学期第一次段考数学试题
安徽省合肥市第一中学2020-2021学年高一上学期第一次段考数学试题(已下线)2.2 充分条件、必要条件、充要条件湖南师范大学附属中学2022-2023学年高一上学期第一次大练习数学试题北京市第八十中学2022-2023学年高一上学期九月月考数学试题(已下线)专题01 集合与常用逻辑用语4-寒假作业单元合订本(已下线)1.2 充分条件与必要条件提高练-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)专题02命题与常用逻辑-2022年新高三数学暑假自学课精讲精练
19-20高一上·上海浦东新·期末
名校
9 . 已知函数
,其中
,
是非空数集且
.设
,
.
(1)若
,
,求
;
(2)是否存在实数
,使得
,且
?若存在,求出所有满足条件的
;若不存在,说明理由;
(3)若
且
,
,
单调递增,求集合
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228d39bd253b6309490b993bf2c546dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5eb03e97d9498bff9c3dfac271dad01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910a5a38ad76a3956d4fbb60018f5537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce46b6c06abe5d56b7e19f67363faa1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e524dec634a5e8db780f68fa1c3ed821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5724cf6c4fc340d8fb84bbe5fbcb60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b977aa808076972d9651b0bb6f3587b.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e270e5e488ded8f5eafb66f2df173692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b705d046e7fae44064427a61c5558d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525f894bd48d1634ac035205be132cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1997004ac72ebafff467930153a7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca05074e5a317ae45d073962bdf74dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ba3e4b3a2464076c4e2e6fd82d8ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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