1 . 已知数列
的前
项和为
,且满足
,等差数列
满足
.
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和
.
![](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/8f544e9b753ba521d4f800a77e835145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e768f6c1cb030ae40e4767cea94e86d8.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dccba1aa7af77f1cb89bd5f14012060b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2024-02-11更新
|
754次组卷
|
4卷引用:河南省开封市五校2023-2024学年高二上学期期末联考数学试题
河南省开封市五校2023-2024学年高二上学期期末联考数学试题(已下线)专题03数列期末7种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019选择性必修第三册)四川省眉山市彭山区第一中学2023-2024学年高二下学期开学考试数学试题(已下线)5.3.2 等比数列的前n项和(3知识点+8题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)
2 . 某高中通过甲、乙两家餐厅给1920名学生提供午餐,通过调查发现:开学后第一天有
的学生到甲餐厅就餐,剩余的学生到乙餐厅就餐,从第二天起,在前一天选择甲餐厅就餐的学生中,次日会有
的学生继续选择甲餐厅,在前一天选择乙餐厅就餐的学生中,次日会有
的学生选择甲餐厅.设开学后第
天选择甲餐厅就餐的学生比例为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
A.![]() |
B.![]() |
C.第100天选择甲餐厅就餐的学生比例约为![]() |
D.开学后第一个星期(7天)中在甲餐厅就过餐的有5750人次 |
您最近一年使用:0次
2024-02-11更新
|
321次组卷
|
2卷引用:河南省开封市五校2023-2024学年高二上学期期末联考数学试题
3 . 如图,谢尔宾斯基地毯是一种无限分形结构,由波兰数学家谢尔宾斯基于1916年发明.它的美妙之处在于,无论将其放大多少次,它总是保持着相同的结构.它的构造方法是:首先将一个边长为1的正方形等分成9个小正方形,把中间的小正方形抠除,称为第一次操作;然后将剩余的8个小正方形均重复以上步骤,称为第二次操作;依次进行就得到了谢尔宾斯基地毯.则前
次操作共抠除图形的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/3e4052ee-9a67-4116-a206-9be65a12282a.png?resizew=192)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/3e4052ee-9a67-4116-a206-9be65a12282a.png?resizew=192)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知数列
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e86cf7dbb479a9bacb7decef074f81.png)
A.![]() |
B.![]() |
C.![]() |
D.数列![]() ![]() ![]() |
您最近一年使用:0次
2024-02-06更新
|
371次组卷
|
2卷引用:内蒙古赤峰市松山区赤峰学院附属中学2023-2024学年高二上学期1月期末数学试题
解题方法
5 . 已知等比数列
的公比为
,前
项和为
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() |
C.任意![]() |
D.若![]() ![]() |
您最近一年使用:0次
6 . 在等差数列
中,
,若数列
对任意
,都有
,
成立,且
.
(1)求数列
的通项公式;
(2)设数列
的前
项和分别为
,若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f17242fac7a0788d8be63dd417b58d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6ef1712e67b8858fe85f63ee406eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71964aca6cc84c472a5f0e67defd22bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0facd20e7a99b196e1238e312c46df6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ab2a426a0fecb9d78ad8d5bc09819c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa870dfc1606114b83c8e60ec0a5337.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6ef1712e67b8858fe85f63ee406eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd97eb7f00e8436abc39632f69d2d700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11eeb0a75a8ec84c4390d2348eb8b53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
7 . 已知数列
和
是等比数列,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6f39af7821313bca7519329d27627c.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
解题方法
8 . 已知
为等比数列,且
为数列
的前
项和,
,
.
(1)求
的通项公式;
(2)令
,求证:
.
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d07ea085e190bed813860d492292efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568b97e06664a6db6faafe788c02b141.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d48868b259993d0000b7c47525ebcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc66b49e2c764f4f2bad4cdd081a045.png)
您最近一年使用:0次
名校
解题方法
9 . 各项为正的等比数列
中,
,则
的前4项和
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c54165b82360c229dea324cd66d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
A.40 | B.121 | C.27 | D.81 |
您最近一年使用:0次
2024-02-05更新
|
1730次组卷
|
7卷引用:山西省运城市2023-2024学年高二上学期期末调研测试数学试题
10 . 已知各项均为正数的等比数列
的前
项和为
,若
,且
.
(1)求
的通项公式;
(2)令
,求数列
的前
项和
.
![](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/ebea1bca86b0843fbe843970b22cb52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a00874a78f7c5f72c6471113db00984.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c9f33ee03d0f5dd3b0e001ecfac2b7.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次