名校
1 . 已知数集
具有性质
:对任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
,
,使得
成立.
(1)分别判断数集
与
是否具有性质
,并说明理由;
(2)求证
;
(3)若
,求数集
中所有元素的和的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553def9cb6670ee4e7945820222f2b4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9d63ea7a1d1bf7d003bbb54cef376f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7dac55b4c5d1805d205fe4915f893b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1e76d1341e8e6bd89b7075150536bd.png)
(1)分别判断数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0c0c967a628666433195b3c356b345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a3069c8accda13019e775a5dc198c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b8eb4d22ce4c4904a2832f31d09719.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4af063ed97c69c5224d4152d0083ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2018-04-02更新
|
2110次组卷
|
3卷引用:北京市建华实验学校2018届零模高三数学(理)试卷
名校
2 . 设
是由
个有序实数构成的一个数组,记作
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f514fd4b05c3174601a5d793f1dd9f0.png)
称为数组
的“元”,
称为
的下标,如果数组
中的每个“元”都是来自数组
中不同下标的“元”,则称
为
的子数组,定义两个数组
和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979d8da595088ad5fdeb7c1c1a5eb7a.png)
的关系数为
;
(1)若
,
,设
是
的含有两个“元”的子数组,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ce9afb03546fc8f61874a087a0d24e.png)
的最大值;
(2)若
,
,且
,
为
的含有三个“元”
的子数组,求
的最大值;
(3)若数组
中的“元”满足
,设数组![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6c00feaa470ac6b13a6d5fee720fe5.png)
含有
四个“元”
,且
,求
与
的所有含有三个“元”
的子数组的关系数的最大值;
![](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/0e1b7e8ddb8c23733d2130411bb3f226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f514fd4b05c3174601a5d793f1dd9f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c59e1cc0af72539dfde156a92090d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c3af219cfbba8e83e2445a8b2e6d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979d8da595088ad5fdeb7c1c1a5eb7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa84fced8d6a4e2aceebd5f283eba3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f009ed2caec247d38e1d2634d38728.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baafaf44bfc4465bf27609b5074d36d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84db1e50fa9758c98eeeeb23cf915218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ce9afb03546fc8f61874a087a0d24e.png)
的最大值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5afb01638df223c961aa642a81a34c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a320289ced1c5d9f21f64798b6d9da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
的子数组,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ce9afb03546fc8f61874a087a0d24e.png)
(3)若数组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269b6323a15f70e67290637cb94ebf9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a875cb417fccdeed5374f1a9201f97ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6c00feaa470ac6b13a6d5fee720fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d0aea7b7bcbd8bf1ef02c406f601ec.png)
四个“元”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd32d673b7d927a36f8ce7069b685b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f319f61918e56005b85ac9122be987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6c00feaa470ac6b13a6d5fee720fe5.png)
的子数组的关系数的最大值;
您最近一年使用:0次
名校
3 . 对于集合M,定义函数
对于两个集合M,N,定义集合
已知
4,6,8,
,
2,4,8,
.
Ⅰ
写出
和
的值,并用列举法写出集合
;
Ⅱ
用
表示有限集合M所含元素的个数,求
的最小值;
Ⅲ
有多少个集合对
,满足P,
,且
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2f1ea26dd6c8fe257519485bd9f85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de17a2a9da7c8b8e3f5fd31747d047e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b988512fcb58378914a3e607a445fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01733e7e6009faa5743d33db8c4e9e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fe0ff9d5afe6efcbe9adaaca8e7694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24be9168f76269836da8da20e6f41031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1670abde0249898ab79c7999ef393b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a13c33c7ac4c5c501be9bf2cd46817e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f412f788c6a626e6e67d0c5e10959d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fb3b11f21e416074917087acf27076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5ac72e9f21a21a5918b41c10c10dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd9dea40ee5e01fbc002e1a83e44b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87856e293aa4c76b5e48bfeba6dc9b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf316d66ba3f27706f32b1436d200e03.png)
您最近一年使用:0次
2017-10-15更新
|
843次组卷
|
7卷引用:北京市第四中学2017届高三上学期期中考试数学(理)试题
名校
4 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bc24b06e0abd218044a27f597fa9e5.png)
.对于
,
,定义
与
之间的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a724e5071732f90d91d468389e8e956a.png)
.
(1)写出
中的所有元素,并求两元素间的距离的最大值;
(2)若集合
满足:
,且任意两元素间的距离均为2,求集合
中元素个数的最大值并写出此时的集合
;
(3)设集合
,
中有
个元素,记
中所有两元素间的距离的平均值为
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bc24b06e0abd218044a27f597fa9e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855ce769f6795d1463744a0d74901fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f0f12e1350ca9c2a81b6c36a840365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3bd6eccfd88084fd4b0c89c4c709d7f.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/a724e5071732f90d91d468389e8e956a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3244bd0e909db80eb9e3ea79303b8351.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b626a2cad742c6613dc283fdab1e833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d7fa8a17135961c9c582f11d2e16cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1071ac8657ef1c4e1ea7e0530196298d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423cc16756424271a003917fbca775b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b67a5d723be5756086feeff090fe693.png)
您最近一年使用:0次
2017-04-06更新
|
962次组卷
|
2卷引用:2017届北京市石景山区高三3月统一练习数学理试卷
2010·河北秦皇岛·一模
解题方法
5 . 设n为正整数,规定:
(其中n个f),已知
.
(1)解不等式
;
(2)设集合
,对任意
,证明:
;
(3)求
的值;
(4)(理)若集合
,证明:B中至少包含8个元素.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d168bbddee33d89e61ee0d7b5740bcbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc1f6ca3e82b5fa4d7305655d4d13c4.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c7572463225bb3b65cb371f4496440.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fa7f541be676dee0b2f9ec7ad965db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0829736ff553d2b1bbaefa6c806749.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9dbb89243dd3ac82cd4efd77e4917f.png)
(4)(理)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beba701e9c44bd1cd61c82f3f1599bc0.png)
您最近一年使用:0次
解题方法
6 . 对于任意的n∈N*,记集合En={1,2,3,…,n},Pn=
.若集合A满足下列条件:①A⊆Pn;②∀x1,x2∈A,且x1≠x2,不存在k∈N*,使x1+x2=k2,则称A具有性质Ω.如当n=2时,E2={1,2},P2=
.∀x1,x2∈P2,且x1≠x2,不存在k∈N*,使x1+x2=k2,所以P2具有性质Ω.
(1)写出集合P3,P5中的元素个数,并判断P3是否具有性质Ω.
(2)证明:不存在A,B具有性质Ω,且A∩B=∅,使E15=A∪B.
(3)若存在A,B具有性质Ω,且A∩B=∅,使Pn=A∪B,求n的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9df41d67a96fb8ffc19bbbcf5597dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2623bcade9e7521db92dfcb45b90f91.png)
(1)写出集合P3,P5中的元素个数,并判断P3是否具有性质Ω.
(2)证明:不存在A,B具有性质Ω,且A∩B=∅,使E15=A∪B.
(3)若存在A,B具有性质Ω,且A∩B=∅,使Pn=A∪B,求n的最大值.
您最近一年使用:0次
7 . 已知数集
,其中
,且
,若对
(
),
与
两数中至少有一个属于
,则称数集
具有性质
.
(Ⅰ)分别判断数集
与数集
是否具有性质
,说明理由;
(Ⅱ)已知数集
具有性质
,判断数列
是否为等差数列,若是等差数列,请证明;若不是,请说明理由.
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/e1eb57f01605458d802012bb52295afd.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/57fd2d5dc7104869a34e39e3d262632b.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/cf34d047a9504ea9a91e37c2df65f6ba.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/da4657758e754433ba506ac9ba36e101.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/f9f625e2e8d8432f97979758d46b7b7d.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/746b9cacc50a46e8bdc90edd9f72c8b3.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/2934a6319c564e3dbe31614c27e48cc5.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/0bb4632474874f73bd7694bf9f15f58c.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/0bb4632474874f73bd7694bf9f15f58c.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/24cf49bfe8944b998b8ecd2a1b81d1ce.png)
(Ⅰ)分别判断数集
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/8bd0b4dbfc684f30ab7d97f4a65f8001.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/0ae52e6d7bb442118748325acf9b4170.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/24cf49bfe8944b998b8ecd2a1b81d1ce.png)
(Ⅱ)已知数集
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/a37c24d5e53146da99b77f15c5e53c26.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/24cf49bfe8944b998b8ecd2a1b81d1ce.png)
![](https://img.xkw.com/dksih/QBM/2013/4/26/1571198307270656/1571198313226240/STEM/96b2f74824ac465a891939ba6e6047f0.png)
您最近一年使用:0次
2016-12-03更新
|
460次组卷
|
3卷引用:2013届江苏省扬州中学高三下学期期中考试数学试卷
8 . 对正整数n,记In={1,2,3…,n},Pn={
|m∈In,k∈In}.
(1)求集合P7中元素的个数;
(2)若Pn的子集A中任意两个元素之和不是整数的平方,则称A为“稀疏集”.求n的最大值,使Pn能分成两个不相交的稀疏集的并.
![](https://img.xkw.com/dksih/QBM/2014/5/30/1571743606530048/1571743611781120/STEM/cf6b7c2d6e754573bc83a6fbca8816a0.png)
(1)求集合P7中元素的个数;
(2)若Pn的子集A中任意两个元素之和不是整数的平方,则称A为“稀疏集”.求n的最大值,使Pn能分成两个不相交的稀疏集的并.
您最近一年使用:0次
2016-12-03更新
|
3116次组卷
|
3卷引用:2013年普通高等学校招生全国统一考试理科数学(重庆卷)
9 . 已知集合
对于
,
,定义A与B的差为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d3cda07e85dcc0f0abdd4009033185.png)
A与B之间的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e27c2552f93678beed8a2da09d9f82c.png)
(Ⅰ)证明:
,且
;
(Ⅱ)证明:
三个数中至少有一个是偶数
(Ⅲ) 设P
,P中有m(m≥2)个元素,记P中所有两元素间距离的平均值为
(P).
证明:
(P)≤
.
(考生务必将答案答在答题卡上,在试卷上作答无效)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d6a56fba87eb11270936ec057e58145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9247eb1841878ba0f36a717a7c6f4d4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccbf2256857847034bdd6e0bedcdd4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d3cda07e85dcc0f0abdd4009033185.png)
A与B之间的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e27c2552f93678beed8a2da09d9f82c.png)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6617cee7f47ed6bb6d0291a8e75473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70958c6e20ee298ce93e7eb4434a9206.png)
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e6deac71f097fe2ae7121691ac67e4.png)
(Ⅲ) 设P
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d57f40f7df91c9fc7992670d8d4bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92751d41a1ec61f309b6a3f6032b731e.png)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92751d41a1ec61f309b6a3f6032b731e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8402e5be50a188507a4feb16ed56ea4d.png)
(考生务必将答案答在答题卡上,在试卷上作答无效)
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2016-11-30更新
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4卷引用:2010年高考试题北京(理科)卷数学试题
2010年高考试题北京(理科)卷数学试题(已下线)专题16 数列新定义题的解法 微点1 数列新定义题的解法(一)(已下线)第五篇 向量与几何 专题19 抽象距离 微点2 抽象距离——曼哈顿距离(二)北京市第一七一中学2021-2022学年高二上学期数学期中调研试题
10 . 已知集合
对于
,
,定义A与B的差为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9494aad384d2bbd9f570f12c6fc31ee.png)
A与B之间的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b53822fe6093b43b46beae65d6abe3.png)
(Ⅰ)当n=5时,设
,求
,
;
(Ⅱ)证明:
,且
;
(Ⅲ) 证明:
三个数中至少有一个是偶数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0062971d409798b8a716209536536f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3615fd277cc1be2d8d8468a1ab9e3e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eddb6f1abafe3023e19e095346474f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9494aad384d2bbd9f570f12c6fc31ee.png)
A与B之间的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b53822fe6093b43b46beae65d6abe3.png)
(Ⅰ)当n=5时,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4660939da3ac24195b0a7b3773e9fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4010da33cf43870f86be1bf9bfd6d0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8513f18376e4e456b939d0f1cdb6e602.png)
(Ⅲ) 证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f859a0d4fb5579ac99e061da9a8a6de1.png)
您最近一年使用:0次
2016-11-30更新
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459次组卷
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4卷引用:2010年普通高等学校招生全国统一考试数学(文)(北京卷)