名校
解题方法
1 . 已知整数
,集合
,对于
中的任意两个元素
,
,定义A与B之间的距离为
.若
且
,则称是
是
中的一个等距序列.
(1)若
,判断
是否是
中的一个等距序列?
(2)设A,B,C是
中的等距序列,求证:
为偶数;
(3)设
是
中的等距序列,且
,
,
.求m的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ceeff24d888e358d2261dc5297b4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f542b813cc3bed485d23760a4ecbec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0f3799612b81e85b87241ec8eee68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53422543e9a9311416faf749bdda67b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca35f4615ee3791b732587e958f8033f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab4a9bfa50054c808dd8190305d0abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9639ce2dc706bba6ef6b773e25fe15a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d05111e65219f66ecee0710dd5c163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e57fcd5fb8f222b56f449662144b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0f3799612b81e85b87241ec8eee68.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1cceb7b65ea109ee8ab8af8c039271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6069b744fec0d7e00a7869ef8407c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad5b0dc4aad791035b5c4ab87bd4702.png)
(2)设A,B,C是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1bbb0a939ec3c2d0414c2351f93ae5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033bbaf9efac3563ae3ac2cd3d7c6738.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e57fcd5fb8f222b56f449662144b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e754717bc7c470f9e21fa4fe17808ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f8b0161a8f09f832d9d49a781ee51c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848aeab240f0f386f3fbe1ee1d8affc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff099d9d2d0a4a0c50339ff01e16010.png)
您最近一年使用:0次
2023-01-04更新
|
1419次组卷
|
6卷引用:北京市清华大学附属中学2022-2023学年高一(非马班)上学期数学期末试题
北京市清华大学附属中学2022-2023学年高一(非马班)上学期数学期末试题北京市第五中学2023-2024学年高一上学期11月月考数学试卷(已下线)专题1 集合新定义题(九省联考第19题模式)练重庆市铜梁中学校2023-2024学年高二下学期开学考试数学试题(已下线)微考点8-1 新高考新题型19题新定义题型精选重庆市缙云教育联盟2024届高三下学期第二次诊断性检测数学试题
解题方法
2 . 已知集合
.对集合A中的任意元素
,定义
,当正整数
时,定义
(约定
).
(1)若
,求
和
;
(2)若
满足
且
,求
的所有可能结果;
(3)是否存在正整数n使得对任意
都有
?若存在,求出n的所有取值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a02b715c992f112de2f9987c70a3df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af8284494c4f58fa852984085b35603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f3591879d4bacc70989aca85be2efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c54046ad997789682be07a1d47a3a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f88776c6c89617192c501dc7f5c9b46.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d64954772ca230b54f1072dc05fd1f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5977a625005a82318474380d6ede73e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df70ecf992ea644da971fe695ca36aa2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af8284494c4f58fa852984085b35603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b792bda20ea741c2507be50668572260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43354369f1a232b2bcb18fffbc00b989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(3)是否存在正整数n使得对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733699269e98fab0eee3b98e95a7072a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8bb7f8f7baedbe05c4a6c05f0b9e6d.png)
您最近一年使用:0次
2022-05-17更新
|
1493次组卷
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4卷引用:北京市朝阳区2022届高三二模数学试题
名校
3 . 已知数列
满足:当
时,
;当
时,
;对于任意实数
,则集合
的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1dd3248ea16e3d66c3528160d7cac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bd42f8e3f220a7b1c6f6945e73bc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2fbc5238724ee8778fdaf6989a09db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a74c23929952b2f37eb82d5c4c5d4f7.png)
A.0个 | B.有限个 | C.无数个 | D.不能确定,与![]() |
您最近一年使用:0次
2021-11-23更新
|
953次组卷
|
4卷引用:上海市上海中学2022届高三上学期期中数学试题
上海市上海中学2022届高三上学期期中数学试题上海市民办南模中学2022届高三下学期3月月考数学试题(已下线)专题06数列必考题型分类训练-2(已下线)专题6-1 数列函数性质与不等式放缩(讲+练)-1
名校
解题方法
4 . 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)
您最近一年使用:0次
2021-10-27更新
|
1037次组卷
|
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(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)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