1 . 用
表示不超过
的最大整数,已知数列
满足:
,
,
.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c3fdbffff67f73a4f36da898396813.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f9ca737b137a45f33a4cd1d25713c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da849bf4f6c6a1e9d82db5df0392c992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558e11d700481dc414d5d073b4b88a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14178ab8fb2a3c405dd1c69e3063512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0518fab92475787a7be0581733eea67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c3fdbffff67f73a4f36da898396813.png)
您最近一年使用:0次
2024-03-14更新
|
953次组卷
|
5卷引用:浙江省强基联盟2024届高三下学期3月联考数学试题
解题方法
2 . 已知数列
满足
,且对任意
均有
.记
的前
项和为
,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/f768d1bbad078c51e76654aac650059f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96791482d4d8b75a49c4e74079aa9d0.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
A.28 | B.140 | C.256 | D.784 |
您最近一年使用:0次
3 . 已知数列
的前
项和为
,则下列结论不正确的是( )
![](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/c69edb7f2e4736899e6e353055985f47.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 数学家斐波那契在研究兔子繁殖问题时,发现有这样一个数列1,1,2,3,5,8
其中从第
项起,每一项都等于它前面两项之和,即
,
,这样的数列称为“斐波那契数列”,则下列各式中正确的选项为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316b5d6779890069e877f081d1833883.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-02-13更新
|
239次组卷
|
2卷引用:浙江省余姚市2023-2024学年高二上学期期末考试数学试卷
解题方法
5 . 已知数列
及其前
项和
,若
,则
( )
![](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/942e17df9c0a1345d25cf8331e505cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbda35f235087edb6aef0c2584b211e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
6 . 已知数列
满足
,
,令
.若数列
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/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26049c107c65a8f023bb81edaca38d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848ef33a5c58f543444fc09d42f29c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-25更新
|
1129次组卷
|
4卷引用:浙江省宁波市慈溪市2024届高三上学期期末测试数学试题
浙江省宁波市慈溪市2024届高三上学期期末测试数学试题浙江省嘉兴市第一中学2024届高三第一次模拟测试数学试题(已下线)1.3.2 等比数列的前n项和5种常见考法归类(2)辽宁省沈阳市第一二〇中学2023-2024学年高二下学期第二次质量监测数学试题
名校
解题方法
7 . 对于无穷数列
,给出如下三个性质:①
;②对于任意正整数
,都有
;③对于任意正整数
,存在正整数
,使得
定义:同时满足性质①和②的数列为“s数列”,同时满足性质①和③的数列为“t数列”,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179513ce80436471efbe1d9b31735f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e5501eef9f4c4d559b6a55c3ec922f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4af697f3e81588d213a0741579ab26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1946803973f5d8e0af84cc38b21cffe.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若等比数列![]() ![]() |
您最近一年使用:0次
2024-01-14更新
|
823次组卷
|
3卷引用:浙江省湖州市第二中学2024届高三下学期新高考模拟数学试题
名校
解题方法
8 . 已知数列
的前
项和为
,设
,
,则
( )
![](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/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7c5e6a322e83fbc0fc197b18e9cf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
A.![]() | B.![]() | C.![]() | D.1012 |
您最近一年使用:0次
2023-10-13更新
|
784次组卷
|
4卷引用:浙江省春晖中学2023-2024学年高二下学期期中考试数学试卷
解题方法
9 . 已知数列
满足
,且
,
,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/78ab1a932c579d19e51a6a3a1ef7734c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-11-10更新
|
1139次组卷
|
8卷引用:浙江省部分学校联考2024届高三高考适应性测试数学试题
浙江省部分学校联考2024届高三高考适应性测试数学试题浙江省湖州、衢州、丽水三地市2022届高三上学期期中检测数学试题河南省名校联考2023-2024学年高二下学期4月月考数学试题(已下线)解密09 数列前n项和及其应用(讲义)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(新高考专用) (已下线)考点25 数列求和及其运用-备战2022年高考数学典型试题解读与变式(已下线)2022年高考浙江数学高考真题变式题1-3题(已下线)2022年高考浙江数学高考真题变式题10-12题(已下线)第三篇 数列、排列与组合 专题5 迭代数列与极限 微点6 迭代数列与极限综合训练