名校
1 . 已知数列
满足
,
,数列
是公比为2的等比数列,则
( )
![](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/562bf10d55724c77204c6953c7fbf7e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42784dc470091e8a1736e5cd45e74b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 设数列
满足
(
),则数列
的前2023项和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858bcf996c0a59a4608906d3fed2cff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1373e9ddb0aeab6c8a11156b3cc63b1f.png)
A.2023 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 下表中的数阵为“森德拉姆筛”,其特点是每行每列都成等差数列
表中对角线上的一列数2,5.10,17,26,37,…构成数列
,则
( )
2 | 3 | 4 | 5 | 6 | 7 | … |
3 | 5 | 7 | 9 | 11 | 13 | … |
4 | 7 | 10 | 18 | 16 | 19 | … |
5 | 9 | 13 | 17 | 21 | 25 | … |
6 | 11 | 16 | 21 | 26 | 31 | … |
7 | 13 | 19 | 25 | 31 | 37 | … |
… | … | … | … | … | …… |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbc12ecb6d1d18f4a7ae777bde43d27.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 设数列
的前
项和为
,则下列说法正确的是( )
![](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/bafb33241313505dd1e1f3779891cc9b.png)
A.![]() |
B.![]() ![]() |
C.当且仅当![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
5 . 斐波那契数列又称“黄金分割数列”,在现代物理、准晶体结构、化学等领域都有着广泛的应用,斐波那契数列
可以用如下方法定义
,则
是数列
的第几项?( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c40956fd3bf0022ccc3ab274b31c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c45ea00c6b9f64a8523d65921f88802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.2022 | B.2023 | C.2024 | D.2025 |
您最近一年使用:0次
6 . 已知数列
满足,
,
,则
( )
![](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/83eb0330e4696b03f9dd70f276447a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bbf0a641cc462fbed00ff931ac38e6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-14更新
|
198次组卷
|
3卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第四次调研考试(5月)数学试题
名校
解题方法
7 . 数列
的前
项和为
,则
可以是( )
![](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/32c58093fdb69854da3cb129789def99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599e7f2f8baaa37baa05e1415b790bbb.png)
A.18 | B.12 | C.9 | D.6 |
您最近一年使用:0次
2024-06-12更新
|
1268次组卷
|
5卷引用:重庆市第一中学校2023-2024学年高二下学期5月月考数学试题
8 . 高斯是德国著名的数学家,近代数学奠基者之一;享有“数学王子“的称号.用他名字定义的函数称为高斯函数
,其中
表示不超过x的最大整数,已知数列
满足
,
,
,若
,
为数列
的前n项和,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1550a97c21c1d71c9e95dde569668be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](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/7def23f30138e0b7c4c1e498d6903a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46bca035f977f168c82ad4fce6845bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce49ab12f75d0829be561a7b3ed42a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764482df2a897f5d13c806176f3a0336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730f2105f60f961e8a5c773953d272b6.png)
A.999 | B.749 | C.499 | D.249 |
您最近一年使用:0次
名校
解题方法
9 . 已知数列
的前
项和为
,且满足
,
,则数列
的最大项为( )
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a55dd52cc22c391f6640ac2560420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466675aef8abe7810eeef5857edeabbb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知数列
的前n项和为
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92adc768ecb4dba28599db5b9eb50f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0b0d4362bf3f7c494d8d25c52a8491.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次