1 . 已知数列
的首项
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5a99603dd831f8b3612245fa2303f5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d4f2dc952ce53ed4bd6f56f3aa6ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5a99603dd831f8b3612245fa2303f5.png)
您最近一年使用:0次
2 . 已知正项等比数列
的前
项的和为
,满足
,则公比
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/23ac5da737127e068180208a8a69b62b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
A.1或3 | B.![]() | C.1或![]() | D.1 |
您最近一年使用:0次
3 . 正项数列
满足
,
.
(1)证明:数列
为等比数列;
(2)求数列
的前
项和
.
![](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/723e99fc83a17217be0435ae9f3650c4.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
(2)求数列
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2024-04-15更新
|
1113次组卷
|
2卷引用:新疆维吾尔自治区塔城市塔城地区第一高级中学2023-2024学年高二下学期5月期中考试数学试题
名校
解题方法
4 . 已知
为等差数列,
为其前n项和.若
,公差
,则m的值为( )
![](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/93dfb46889c0485f74277e329d8c5ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0ca27d43f5e72dd8a7ab1aac688c88.png)
A.4 | B.5 | C.6 | D.7 |
您最近一年使用:0次
2024-04-09更新
|
2045次组卷
|
5卷引用:新疆石河子第一中学2024届高三“天使计划”第二轮测试数学试题
5 . 记等差数列
的前 n项和为
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25601fbe8305fd95ac85efa63bbfb6a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c035b8917bb4032bd91b8de69be023f0.png)
A.38 | B.-38 | C.20 | D.-20 |
您最近一年使用:0次
6 . 已知等比数列
的公比与等差数列
的公差均为2,且
,设数列
满足
,
,则数列
的前20项的和为( )
![](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/466439a6a693de6d50c5bbef04ec81c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850248748bcab582d2aa2a3093d088cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-08更新
|
881次组卷
|
3卷引用:新疆乌鲁木齐市第十九中学2023-2024学年高二下学期第二次月考数学试题
名校
7 . 设等差数列数列
的前
项和为
,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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39119df34faa2d46049ff12968f08ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.png)
A.30 | B.28 | C.26 | D.24 |
您最近一年使用:0次
解题方法
8 . 设等差数列
的前n项和为
﹐若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6d3d768cd00a21b3aca22aa64ac3c4.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3903653955c424d3f6135edc5b47e231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2111370b3a3b575b7cac52bec12395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6d3d768cd00a21b3aca22aa64ac3c4.png)
您最近一年使用:0次
名校
9 . 已知
为正项等比数列,
是它的前n项和,若
,且
与
的等差中项为3,则
等于( )
![](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/4ed6e3e3bfa564c48d2b4316b77e6961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-27更新
|
689次组卷
|
9卷引用:新疆乌鲁木齐市兵团二中2024届高三上学期第四次月考数学试题
新疆乌鲁木齐市兵团二中2024届高三上学期第四次月考数学试题(已下线)考点5 等比数列的基本量及其性质 2024届高考数学考点总动员【练】(已下线)考点7 等差、等比数列的联姻 2024届高考数学考点总动员【练】江西省宜春市宜丰县宜丰中学2024届高三上学期1月月考数学试题(已下线)专题26 等比数列前n项和的性质及等比数列中Sn与an的关系(期末选择题26)2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)河北省石家庄市西山学校2023-2024学年高二上学期期末数学试题福建省福州第一中学2023-2024学年高三上学期期末考试数学试题(已下线)热点5-1 等差数列的通项及前n项和(8题型+满分技巧+限时检测)(已下线)专题03等比数列及其前n项和6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(北师大版2019选择性必修第二册)
10 . 蚊香具有悠久的历史,我国蚊香的发明与古人端午节的习俗有关.如图,为某校数学社团用数学软件制作的“蚊香”.画法如下:在水平直线上取长度为1的线段AB,作一个等边三角形ABC,然后以点B为圆心,AB为半径逆时针画圆弧交线段CB的延长线于点D(第一段圆弧),再以点C为圆心,CD为半径逆时针画圆弧交线段AC的延长线于点E,再以点A为圆心,当得到的“蚊香”恰好有9段圆弧时,“蚊香”的长度为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/e2cc26ea-fe32-4340-915e-ea82e7ec0279.png?resizew=292)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/e2cc26ea-fe32-4340-915e-ea82e7ec0279.png?resizew=292)
A.14π | B.18π | C.24π | D.30π |
您最近一年使用:0次