1 .
数列是百余年前的发现,在近代数论中有广泛的应用.
数列是把
中的分母不大于
的分子与分母互质的分数从小到大排成一列,并且在第一个分数之前加上
,在最后一个分数之后加上
,该数列称为
阶
数列,记为
,并记其所有项之和为
.
数列还有一个神奇的性质.若设
的相邻两项分别为
,
,则
.下列关于
数列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba0affd0d48b911a3b58f7d3756b2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba0affd0d48b911a3b58f7d3756b2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422ad599aefd64def0e113d5bd4bbc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271b085440168d331b67007152e8db3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba0affd0d48b911a3b58f7d3756b2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644f94297a84a8edbda26f1e408444e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9da2b0e7b9eca965043be2f38a91f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba0affd0d48b911a3b58f7d3756b2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644f94297a84a8edbda26f1e408444e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45a8e3c0c4510ae1e7752a6ddc3dcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ca6053a889751a9ad6cef99b6916c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba0affd0d48b911a3b58f7d3756b2c3.png)
A.![]() | B.数列![]() |
C.当![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() ![]() |
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名校
解题方法
2 . “太极生两仪,两仪生四象,四象生八卦……”大衍数列,来源于《乾坤谱》中对《易传》“大衍之数五十”的推论,主要用于解释中国传统文化中的太极衍生原理,是中华传统文化中隐藏着的世界数学史上第一道数列题.大衍数列中的每一项都代表太极衍生过程中,曾经经历过的两仪数量总和,从第一项起依次为0,2,4,8,12,18,24,32,40,50,…….记大衍数列为
,其前n项和为
,则( )
![](https://img.xkw.com/dksih/QBM/2021/2/7/2653141129502720/2658495248711680/STEM/4a402aee3a9347a2b88d34b81a7400dc.png?resizew=282)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56cd0297c84cd117c643310e13c60b21.png)
![](https://img.xkw.com/dksih/QBM/2021/2/7/2653141129502720/2658495248711680/STEM/4a402aee3a9347a2b88d34b81a7400dc.png?resizew=282)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4卷引用:江苏省徐州市第一中学2020-2021学年高三上学期期末数学试题
江苏省徐州市第一中学2020-2021学年高三上学期期末数学试题(已下线)突破4.3.2 等比数列的前n项和课时训练-【新教材优创】突破满分数学之2020-2021学年高二数学课时训练(人教A版2019选择性必修第二册)(已下线)专题4.1 数列的概念与简单表示法-2020-2021学年高二数学同步培优专练(人教A版2019选择性必修第二册)北师大版(2019) 选修第二册 突围者 第一章 数列 章末培优专练
名校
3 . 若数列
满足
,
(
,且
),记
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c1e51673e07b070b98a5e5520d5ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47769ca08edfa79fc200b9f37d197335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fbecca12ee62538020483fd55a2109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6eabec32d0ec1591900b683c1118ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392a8f641017f5df07890012bd80eec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1356c70a601292169ffa13bce55b15ea.png)
A.-1 | B.![]() | C.![]() | D.![]() |
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