1 . 已知数集
具有性质
:对任意的
与
两数中至少有一个属于
.
(1)分别判断数集
与
是否具有性质![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
(2)证明:
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf37bb0ce613aa440869a7db3abc26d.png)
(3)当
时,若
,若数集
具有性质
,求数集
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69edbd87b8d3d77f6e2ad2a3b460323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a76fd7d70aaa306d18a76e238365cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30692e554e0aa2bcfabd25c2ca4b391a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
(1)分别判断数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8564068ee1f073615fab9694b210e1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acdcfc22edc7cbc41fb7145e9976d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853eace02560e7f1490694276c29a856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf37bb0ce613aa440869a7db3abc26d.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da4f52abad1deccf4bd6e100b9d36fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4332a0bc93d1044dc972ce0fbf755ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
您最近一年使用:0次
2022-10-18更新
|
319次组卷
|
5卷引用:上海市七宝中学2015-2016学年高一上学期第一次月考数学试题
上海市七宝中学2015-2016学年高一上学期第一次月考数学试题(已下线)单元高难问题01集合中的新定义问题-【倍速学习法】(沪教版2020必修第一册)上海市大同中学2022-2023学年高一上学期10月月考数学试题上海市复兴高级中学2022-2023学年高一上学期10月月考数学试题(已下线)上海市华东师范大学第二附属中学2023-2024学年高一上学期10月月考数学试题
解题方法
2 . 若数列
对任意连续三项
,均有
,则称该数列为“跳跃数列”.
(1)判断下列两个数列是否是跳跃数列:
①等差数列:
;
②等比数列:
;
(2)若数列
满足对任何正整数
,均有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc47df306e4bc72632047fbe01619bf9.png)
.证明:数列
是跳跃数列的充分必要条件是
.
(3)跳跃数列
满足对任意正整数
均有
,求首项
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4993aaab02cbc3cbed15d025f4b4e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69dc2d44dfdb07c42acfb6eb6eec1f69.png)
(1)判断下列两个数列是否是跳跃数列:
①等差数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc28deef24c776e671639e6cfc028fa.png)
②等比数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9819764e7f56202270fd85e6841c9.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc47df306e4bc72632047fbe01619bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff03fcfa701aa0f42e914bd82afaaeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1381f0937c6052ce088e0eaee7df4880.png)
(3)跳跃数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae8a1b864e3e6d37a0eb027e661d9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
3 . 记无穷数列
的前
项中最大值为
,最小值为
,令
,则称
是
“极差数列”.
(1)若
,求
的前
项和;
(2)证明:
的“极差数列”仍是
;
(3)求证:若数列
是等差数列,则数列
也是等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a625b91e0eba33b107550ee2a1e2f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07502f5de77ea134859dbfd235b3ee23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9d38a1171131b1a1f3f70ca2117be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(3)求证:若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
您最近一年使用:0次
2020-04-06更新
|
713次组卷
|
3卷引用:专题08 数列-2020年高三数学(理)3-4月模拟试题汇编
名校
解题方法
4 . 如图,将数列
中的所有项按每一行比上一行多两项的规则排成数表,已知表中的第一列
、
、
、
构成一个公比为
的等比数列,从第
行起,每一行都是一个公差为
的等差数列,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a0eecb5b800fce9ae10aed86ffee62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd64c5f24ce5e4a287720b826087e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
![](https://img.xkw.com/dksih/QBM/2020/7/19/2509149628743680/2509847886962688/STEM/8fa284759dd94c1dace9725431ed7361.png?resizew=160)
您最近一年使用:0次
2020-07-20更新
|
618次组卷
|
8卷引用:2020届江苏省徐州一中、如皋中学、宿迁中学高三上学期三校联考数学试题
2020届江苏省徐州一中、如皋中学、宿迁中学高三上学期三校联考数学试题2020届江苏省如皋中学、徐州一中、宿迁中学三校高三联合考试数学试题广东省六校联盟2020届高三下学期第四次联考数学(理)试题(已下线)第02章章末复习课-2020-2021学年高二数学课时同步练(人教A版必修5)(已下线)专题4.1 等差数列与等比数列-备战2021年高考数学精选考点专项突破题集(新高考地区)(已下线)第04章 章末复习课-2020-2021学年高二数学课时同步练(人教A版选择性必修第二册)安徽省合肥市第六中学2021届高三下学期高考考前诊断暨预测卷文科数学试题江苏省镇江中学2022-2023学年高二上学期期中数学试题
5 . 已知数列
满足
,
,
.
(1)若
,写出
所有可能的值;
(2)若数列
是递增数列,且
、
、
成等差数列,求p的值;
(3)若
,且
是递增数列,
是递减数列,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1e1859e115c1787dac6e874aa9f02f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194b8ab194c7d299d5c3e0f09ec18384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911278aa8595846abac1972e1de59995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51bf3c79715926149d542b6941db3da4.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f970f380a12c843bb4a74ff34a15b2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf33b2a94eae16760d746f9b4b8dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
6 . 已知数列
的首项
,
为前
项和,若数列
满足:对任意正整数
,
,当
时,
总成立,则称数列
是“
数列”.
(1)若
是公比为3的等比数列,试判断
是否为“
数列”,说明理由;
(2)若
是公差为
的等差数列,且是“
数列”,求实数
的值;
(3)若数列
既是“
数列”,又是“
数列”,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52eecd38954cd0ca3fb26328a39bb859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa23c1bcee5cdc55dff21f1ad06d5f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e0fcb1c9a990f1d58e7e0e74017beb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d789e6134104e5b12f6014aa4928ca96.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8f4267df6060a6cc277073d6c2d248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d789e6134104e5b12f6014aa4928ca96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8f4267df6060a6cc277073d6c2d248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
解题方法
7 . 定义:如果一个数列从第二项起,后一项与前一项的和相等且为同一常数,这样的数列叫“等和数列”,这个常数叫公和.给出下列命题:
①“等和数列”一定是常数数列;
②如果一个数列既是等差数列又是“等和数列”,则这个数列一定是常数列;
③如果一个数列既是等比数列又是“等和数列”,则这个数列一定是常数列;
④数列
是“等和数列”且公和
,则其前
项之和
;
其中,正确的命题为__________ .(请填出所有正确命题的序号)
①“等和数列”一定是常数数列;
②如果一个数列既是等差数列又是“等和数列”,则这个数列一定是常数列;
③如果一个数列既是等比数列又是“等和数列”,则这个数列一定是常数列;
④数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87adaeb54bb3a64e6f9466c44a03e1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef0df297f6247f0ffb0433776832037.png)
其中,正确的命题为
您最近一年使用:0次
2020-05-03更新
|
648次组卷
|
6卷引用:考点23 数列的综合应用-备战2021年高考数学(文)一轮复习考点一遍过
(已下线)考点23 数列的综合应用-备战2021年高考数学(文)一轮复习考点一遍过湖南师大附中2018-2019学年高一下学期期末数学试题四川省广元市2019-2020学年高一(下)期末数学试题(已下线)专题12 等和数列 微点1 等和数列常见问题(已下线)专题1.3 全称量词与存在量词-2020-2021学年高二数学课时同步练(苏教版选修2-1)(已下线)第4章 数列(基础卷)-2021-2022学年高二数学新教材单元双测卷(苏教版2019选择性必修第一册)
名校
8 . 已知
,
为两非零有理数列(即对任意的
,
,
均为有理数),
为一无理数列(即对任意的
,
为无理数).
(1)已知
,并且
对任意的
恒成立,试求
的通项公式.
(2)若
为有理数列,试证明:对任意的
,
恒成立的充要条件为
.
(3)已知
,
,对任意的
,
恒成立,试计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6af1644737a2948f30308a168ff07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1602c6064af12eed3fd1291f8272d93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6af1644737a2948f30308a168ff07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50a4b1e4f8b1d044300df7ef8205c31.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391202d5ea5ed1802af734a78583961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d36e322a05765061155210df4176aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c404f6958b9613226e380b16dba8f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244d2564c2bff56c566e7990f570d549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dfd310df0a4f42cf64dc1bed85f816.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fe6fdf0d6443ef6e5f34d9741a0759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25260e98fe082f4ec2b6273aa17e2d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbc42581b47d7665015dc5c22922bfc.png)
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2020-09-06更新
|
649次组卷
|
10卷引用:重难点04 三角函数与解三角形-2021年高考数学【热点·重点·难点】专练(上海专用)
(已下线)重难点04 三角函数与解三角形-2021年高考数学【热点·重点·难点】专练(上海专用)2016届上海市七宝中学高三模拟理科数学试卷2016届上海市七宝中学高三模拟考试数学(理)试卷2019年上海市建平中学高三三模数学试题2016届上海市闵行区七宝中学高三下学期适应性考试(三模)(理)数学试题上海市实验学校2017届高三上学期第四次月考数学试题上海市建平中学2019届高三下学期5月月考数学试题(已下线)考向10 三角恒等变换-备战2022年高考数学一轮复习考点微专题(上海专用)上海市浦东新区2021届高三三模数学试题上海市大同中学2021届高三三模数学试题
名校
解题方法
9 . 若存在常数
,使得对于任意
,都有
,则称数列
为
数列.
(1)已知数列
是公差为
的等差数列,其前
项和为
,若
为
数列,求
的取值范围;
(2)已知数列
的各项均为正数,记
的前
项和为
,数列
的前
项和为
,且
,
,若数列
满足
,且
为
数列,求
的最大值;
(3)已知正项数列
满足:
,且数列
为
数列,数列
为
数列,若
,求证:数列
中必存在无穷多项可以组成等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5aa7d54a7d5f2d8fcad75ea832c57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf228eea347ffaef7ba9bebc011d038.png)
(1)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c280f3aaa78939c2fc769595e1c8b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cd6684f2f1b943b77500917199da813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c77bb59a45516491ec9e7eaee0c2a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce54c7170eab13667a4423c52bf4896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf228eea347ffaef7ba9bebc011d038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知正项数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9468982a0f40c6a6006705c120c76a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce086063cbe187cbb7a7c73420e5f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a632244f24dcb02eb6031c269469b394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0326bd39ba4679076e206a59a7cb269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f53270e289f1115805aff12fdc45d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8c81be8e598b76d487e07f71e7939e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
您最近一年使用:0次
2020-12-02更新
|
607次组卷
|
4卷引用:上海市上海中学2021届高三上学期期中数学试题
上海市上海中学2021届高三上学期期中数学试题(已下线)考向18 数列不等式-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)专题05 《数列》中的解答题压轴题(2)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)山东省淄博市2021届高三三模数学试题
10 . 在数列
中,若存在非零整数
,使得
对于任意的正整数
均成立,那么称数列
为周期数列,其中
叫做数列
的周期,若数列
满足
,如
(
),当数列
的周期最小时,该数列的前2016项的和是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a4e38ab612865c10b3f394d76c5d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983f7e1cd303dc3c2a69ec0aa022f41e.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573135574802432/1573135580807168/STEM/bcf82eb4e86440609443b5c519f01cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d734845bd42eafaef29f423de3201bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7825eed1a98fa4e026463bff69384e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983f7e1cd303dc3c2a69ec0aa022f41e.png)
A.672 | B.673 | C.1342 | D.1344 |
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