1 . 已知等比数列
的前
项和为
,
是等差数列,
,
,
,
.
(Ⅰ)求
和
的通项公式;
(Ⅱ)设
的前n项和为
,
,
.
(ⅰ)当n是奇数时,求
的最大值;
(ⅱ)求证:
.
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd3a25ac2cde3d2c884028f750cfff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684b935a7274130d081bfa7b2b938023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c45994e58cc2032df1cc501e44ed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b3874af2d1f4dcf456e5d24c4359a9.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db76422e0e75880dab2c22b549e1323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(ⅰ)当n是奇数时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b3820b14ec56411661ab328bb2ad17.png)
(ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58924a1e6d16eff497407912c41fa5f.png)
您最近一年使用:0次
2021-05-11更新
|
835次组卷
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4卷引用:天津市和平区2021届高三下学期一模数学试题
天津市和平区2021届高三下学期一模数学试题(已下线)天津市和平区2021届高三下学期第一次质量调查数学试题天津市宝坻区第一中学2020-2021学年高三上学期第四次月考数学试题天津市河东区第三十二中学2024届高三上学期第二次月考数学试题
名校
解题方法
2 . 已知数列
的前
项和为
,满足
,数列
满足
,且
.
(1)证明数列
为等差数列,并求数列
和
的通项公式;
(2)若
,求数列
的前2n项和
;
(3)若
,数列
的前
项和为
,对任意的
,都有
,求实数
的取值范围.
![](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/deb64a2d5265b33d6c6727b956c9c29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0ac6e090846e97ccedd2f6d9168bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f997e6d483c0d0990cb550bbde39fa9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b5eef03339913e27e0ce81d6f32b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a17951c56a2ebe66ef13d08135ac0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d4e8502106802f1485c3b0f28f2664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee6e88ac0b5133d7f51c7e166faf77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-08-17更新
|
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10卷引用:天津市滨海新区七所重点学校2018届高三毕业班联考数学文科试题
天津市滨海新区七所重点学校2018届高三毕业班联考数学文科试题天津市南开中学2021届高三下学期三模数学试题天津市市区重点中学2022届高三下学期三模数学试题【全国校级联考】滨海新区七所重点学校2018届高三毕业班联考数学(文)试题(已下线)天津市七所重点学校2023届高三下学期3月联考文科数学试题天津市北辰区南仓中学2024届高三上学期教学质量过程性检测与诊断数学试题江苏省南通市启东中学2019-2020学年高二上学期第二次质检数学试题江苏省南通市启东中学2019-2020学年高二上学期第一次质量检测数学试题江苏省扬州市高邮中学2020-2021学年高二上学期9月月考数学试题四川省成都外国语学校2021-2022学年高二上学期入学考试数学(理)试题
名校
解题方法
3 . 已知数列
满足
.
(1)求
;
(2)若
,数列
的前n项和为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
①求
;
②对于任意的
,均有
恒成立,求m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cca5ec0f1af152b1993fa3b041f8356.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7af81b8983a36debb3c1f6339a6eeef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96462c90521bbeb401aef56bdf8347.png)
您最近一年使用:0次
2020-11-14更新
|
606次组卷
|
3卷引用:天津市第二十中学2023-2024学年高三下学期第三次统练数学试卷
名校
4 . 已知单调等比数列
中,首项为
,其前n项和是
,且
成等差数列,数列
满足条件![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85cc604ef36b3e20d83dbfc3e34ff7d.png)
(Ⅰ) 求数列
、
的通项公式;
(Ⅱ) 设
,记数列
的前
项和
.
①求
;②求正整数
,使得对任意
,均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ad47a61bdde0df772afa6c26d7da9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85cc604ef36b3e20d83dbfc3e34ff7d.png)
(Ⅰ) 求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
(Ⅱ) 设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17a2edce04f09e7de7b94394a1f3bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cca3ebd10a38201939a3694cc95186a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb26cd1601fe7e76e1e2dc0b4909324a.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb26cd1601fe7e76e1e2dc0b4909324a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8c29b297e3ec337c3139c2a1ebed1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9df446a0b85dc62f436cb3d7a317760.png)
您最近一年使用:0次
2019-05-12更新
|
1172次组卷
|
7卷引用:【区级联考】天津市和平区2019届高三第二学期第二次质量调查数学(理)试题
【区级联考】天津市和平区2019届高三第二学期第二次质量调查数学(理)试题【区级联考】天津市和平区2019届高三下学期二模理科数学试题天津市滨海新区大港第一中学2021--2022学年高三上学期入学测试数学试题(已下线)专题6.3 等比数列及其前n项和(练)【理】-《2020年高考一轮复习讲练测》2020届河北省衡水中学高三年级上学期五调考试数学(理科)试题(已下线)专题19 数列求和-冲刺2020高考跳出题海之高三数学模拟试题精中选萃四川省乐山市2020-2021学年高一下学期期末数学试题
名校
5 . 若{an}是等差数列,首项a1>0,a2 016+a2 017>0,a2 016·a2 017<0,则使前n项和Sn>0成立的最大正整数n是
A.2 016 | B.2 017 |
C.4 032 | D.4 033 |
您最近一年使用:0次
2018-06-17更新
|
281次组卷
|
7卷引用:天津市实验中学2018届高三上学期第二次模拟数学(理)试题
天津市实验中学2018届高三上学期第二次模拟数学(理)试题辽宁省鞍山市第一中学2018届高三上学期第二次模拟考试(期中)数学(理)试题2017届湖南湘中名校教改联合体高三文12月联考数学试卷(已下线)《高频考点解密》—解密11 等差数列、等比数列(已下线)解密10 等差数列、等比数列-备战2018年高考文科数学之高频考点解密(已下线)解密10 等差数列、等比数列(讲义)-【高频考点解密】2021年高考数学(文)二轮复习讲义+分层训练(已下线)解密10 等差数列、等比数列(讲义)-【高频考点解密】2021年高考数学(理)二轮复习讲义+分层训练