名校
解题方法
1 . 已知等差数列
的公差不为零,
成等比数列,且
.
(1)求数列
的通项公式;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18556fda4a825861f1170cdeb059ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde13a1d82174255f34cc22f8127787b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed1649f5841159746937938ab5562ac.png)
您最近一年使用:0次
2 . 设等差数列
的公差为
,记
是数列
的前
项和,若
,
.
(1)求数列
的通项公式;
(2)若
,数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.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/9640394bcbf52c435bdfa5e108002e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1959cec7b14403c2b839111c5e15bdb1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065b4c79e7a73cc0b1a2d444e0cf13f0.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c630ae094545da6da659feb70ef0ca.png)
您最近一年使用:0次
2024-04-12更新
|
1968次组卷
|
3卷引用:2024届浙江省丽水、湖州、衢州三地市二模数学试卷
解题方法
3 . 已知数列
为等差数列,前
项和为
,则“
”是“数列
为单增数列”的( )
![](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/1a45d85ae81dbe73b719b4abf768adcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
名校
解题方法
4 . 等差数列
的前n项和为
,
,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/4582694a75950560f54edb6cbe099e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.10 | B.11 | C.12 | D.13 |
您最近一年使用:0次
2022-06-04更新
|
526次组卷
|
2卷引用:浙江省杭州师范大学附属中学2022届高三下学期5月仿真模拟数学试题
解题方法
5 . 设等差数列
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/9e8e9024a5174dc46a934210de90c3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070cc7a5b0c963ffc7b2f3483e6c8bcb.png)
A.12 | B.15 | C.18 | D.21 |
您最近一年使用:0次
6 . 已知
是等差数列,其前
项和为
,若
成等比数列,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/1302b567c6f72c5909158c0521351032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d8978c2a76592bfbc17daa41f9c5da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e43b08b177d3c15708f31a2f69d9b9.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
7 . 毕达哥拉斯学派是古希腊哲学家毕达哥拉斯及其信徒组成的学派,他们把美学视为自然科学的一个组成部分.美表现在数量比例上的对称与和谐,和谐起于差异的对立,美的本质在于和谐.他们常把数描绘成沙滩上的沙粒或小石子,并由它们排列而成的形状对自然数进行研究.如图所示,图形的点数分别为
,总结规律并以此类推下去,第
个图形对应的点数为________ ,若这些数构成一个数列,记为数列
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8315298db264bdfe7271ec9cca3843e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c301a3b8b3952380a596ad772d2348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8315298db264bdfe7271ec9cca3843e.png)
![](https://img.xkw.com/dksih/QBM/2021/6/17/2745194851753984/2745489515503616/STEM/1a8fd283e8a746d58a3b65f9a41c3ff3.png?resizew=363)
您最近一年使用:0次
2021-06-18更新
|
1853次组卷
|
11卷引用:浙江省四校2022届高三下学期联考数学试题
浙江省四校2022届高三下学期联考数学试题河南省南阳市2020-2021学年高二下学期阶段检测考试理数试题江西省抚州市黎川县第一中学2020-2021学年高二下学期期末数学(文)试题江西省抚州市黎川县第一中学2020-2021学年高二下学期期末数学(理)试题(已下线)考点20 数列的概念与简单表示法-备战2022年高考数学(文)一轮复习考点帮江苏省苏州市常熟中学2021-2022学年高二上学期10月阶段学习质量检测数学试题(已下线)专题07 数列-备战2022年高考数学母题题源解密(新高考版)沪教版(2020) 选修第一册 新课改一课一练 第4章 4.1.2 等差数列的前n项和(已下线)第02讲 等差数列及其前n项和 (练)-2023年高考数学一轮复习讲练测(新教材新高考)4.2.2 等差数列的前n项和公式练习山东省淄博市淄博中学2023-2024学年高二下学期第一次月考数学试题
名校
8 . 已知等差数列
的前
项和为
,且满足
,
,则该数列的公差
可取的值是( )
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e3ed8a7f527a6ec04297eaa966dc6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cdc2ee8fbf046e756b6b6d3db149ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.3 | B.1 | C.-1 | D.-3 |
您最近一年使用:0次
2021-06-01更新
|
761次组卷
|
4卷引用:浙江省宁波市效实中学2021届高三下学期高考模拟测试数学试题
浙江省宁波市效实中学2021届高三下学期高考模拟测试数学试题(已下线)专题7.3 等差数列的前n项和-2022届高三数学一轮复习精讲精练(已下线)6.1 等差数列(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(理科)试题(十一)
2021·浙江·模拟预测
9 . 已知等差数列
的公差为
,前
项和为
,若
,且
是
和
的等比中项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251299e21f8b20cacaa0a4a851376b97.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/15a66e932855d7af2002321ddc325175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83da17bffac5f28b246b6c350b4fe4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978e2f7118d2bd305086ae03cc7dd683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
名校
10 . 等比数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
___________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a2620d4117174bb7fae954a4634743.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938128d753c3ec7e5abc7752bd335413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a2620d4117174bb7fae954a4634743.png)
您最近一年使用:0次
2021-05-20更新
|
638次组卷
|
5卷引用:浙江省Z20联盟2021届高三下学期第三次联考数学试题
浙江省Z20联盟2021届高三下学期第三次联考数学试题浙江省舟山中学2022届高三下学期3月质量抽查数学试题(已下线)专题6.数列与数学归纳法 -《2022届复习必备-2021届浙江省高考冲刺数学试卷分项解析》(已下线)第七章 数列专练4—等比数列-2022届高三数学一轮复习江苏省南通市海安市立发中学2022-2023学年高三上学期九月检测数学试题