名校
解题方法
1 . 已知数列{an}的前n项和为Sn,且Sn=2an﹣2,则数列{
}的前n项和Tn=__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f03ff8c63b689bcd08af3505d709361.png)
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7卷引用:专题4求和运算 (基础版)
(已下线)专题4求和运算 (基础版)(已下线)模块二 专题6《数列》单元检测篇 A基础卷 (人教A)河南省2020-2021学年高中毕业班阶段性测试(二)理科数学试题天一大联考2021届高三理科数学阶段性测试试题 (二)安徽省阜阳市太和第一中学2020-2021学年高三上学期二模数学(理)试题河南省焦作市温县第一高级中学2021-2022学年高三上学期9月月考数学(理)试题(已下线)专题4.5 错位相减法求和-2021-2022学年高二数学特色专题卷(人教A版2019选择性必修第二册)
2 . 已知数列
中,
,
.
(1)求证:数列
是等比数列;
(2)数列
满足的
,数列
的前
项和为
,若不等式
对一切
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71d936168659b4952a44e4ac5e3df2e9.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5566978b9adb511ec5c0cf4313313bfb.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0635a593b6a83e4b1f92ef3ee8b90d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.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/a108948c035da95349857678b22450cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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5卷引用:专题10 数列通项公式的求法 微点6 倒数变换法
(已下线)专题10 数列通项公式的求法 微点6 倒数变换法(已下线)模块五 专题5 期中重组卷(广东)广东省梅州市东山中学2022届高三上学期期中数学试题安徽省亳州市第二完全中学2022-2023学年高二下学期期中教学质量检测数学试题安徽省亳州市第二完全中学2022-2023学年高二下学期期中教学质量检测数学试题(特培班)
3 . 在①
,
,②
,③
,
,这三个条件中任选一个,补全下列试题后并完成解答(选择多个条件并分别解答的按第1个给分)
设等差数列
的前n项和为
,且___________.
(1)求数列
的通项公式;
(2)令
,求数列
的前n项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8d4c9c5b5752532b31d44a0dc0877f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5032706dd285c22e149c675da465d9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c599e7cec6d192fb73218e7882ceca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfd6e425411179e2a5a06d84978356e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67431b6c84a81bab1ecb153a0ce5fe65.png)
设等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0a11035037cfd4240c48bc89661374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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4 . 已知
为等比数列,
,记数列
满足
,且
.
(1)求
和
的通项公式;
(2)对任意的正整数
,设
,求
的前
项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463a4d5f2d1d893498d1be84167a747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5214360ac0152818f5b95b805f6e615c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3af174a7a1dffe09368905b8056611.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)对任意的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b5a1218ae187bd8294a464a3e208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
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6卷引用:专题1.2 模拟卷(2)-2022年高考数学大数据精选模拟卷(新高考地区专用)
(已下线)专题1.2 模拟卷(2)-2022年高考数学大数据精选模拟卷(新高考地区专用)湖湘教育三新探索协作体2021-2022学年高三上学期11月期中联考数学试题山东省青岛市青岛第五十八中学2021-2022学年高三上学期期中数学试题山西省怀仁市2022届高三上学期期末数学(理)试题山东省青岛市青岛第十九中学2022-2023学年高三上学期期中数学试题江苏省苏州中学2022-2023学年高二上学期12月阶段质量评估数学试题
名校
解题方法
5 . 已知数列
的前
项和为
,
,
,其中
.
(1)记
,求证:
是等比数列;
(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/20c1bc4c5a3adeccea637fe563ba2fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329785900390130a04a57d0b55aaa569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07cefac60bb3fcde0bded804501c90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c9e9a2612064dc46ef0029504151c6.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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2021-11-03更新
|
1363次组卷
|
6卷引用:专题1.1 模拟卷(1)-2022年高考数学大数据精选模拟卷(新高考地区专用)
(已下线)专题1.1 模拟卷(1)-2022年高考数学大数据精选模拟卷(新高考地区专用)山东省2022届高三上学期10月联合质量测评数学试题广东省八校2022届高三上学期第二次联考数学试题黑龙江省哈尔滨师范大学附属中学2021-2022学年高三上学期期中考试数学(理)试题黑龙江省哈尔滨师范大学附属中学2021-2022学年高三上学期期中考试数学(文)试题河南省杞县高中2021-2022学年高三上学期第四次月考理科数学试题
6 . 已知数列
的前
项和为
,
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和为
.
![](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/d7e778dad5ab431db88da5f618ab6cef.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19cfb37ac628f4a571bb3a61633c650.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)
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5卷引用:专题08 数列求和及综合应用-2022年高考数学毕业班二轮热点题型归纳与变式演练(新高考专用)
(已下线)专题08 数列求和及综合应用-2022年高考数学毕业班二轮热点题型归纳与变式演练(新高考专用)2020届湖北省武汉市部分学校高三下学期5月模拟文科数学试题湖南省江西省普通高中名校联考2020届高三下学期信息卷(压轴卷一)数学(理)试题吉林省实验中学2021-2022学年上学期高三第三次学科诊断测试数学(理)试题河南省漯河市临颍县第二高级中学2022-2023学年高二上学期期末数学试题
7 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa06d8171311e55dcaa7f83ea682b55.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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11卷引用:专题6.4 数列求和(精练)-2021年高考数学(文)一轮复习学与练
(已下线)专题6.4 数列求和(精练)-2021年高考数学(文)一轮复习学与练(已下线)知识点:数列求和 易错点3 忽视错位相减法中项数与符号出错(已下线)易错点10 数列陕西省榆林市绥德中学2019-2020学年高一下学期期末数学(文)试题江西省南昌市湾里区第一中学等六校2020-2021学年高一下学期期中联考数学试题苏教版(2019) 选修第一册 必杀技 第四章 4.3.3 课时2 等比数列的前n项和(2)人教A版(2019) 选修第二册 实战演练 第四章 数列 课时练习07 等比数列前n项和公式人教B版(2019) 选修第三册 必杀技 第五章 5.3.2 课时2 等比数列的前n项和(2)甘肃省民勤县第一中学2022-2023学年高二上学期第一次月考数学试题第1章 数列 单元检测卷(已下线)模块一 专题6 数列的通项公式与求和问题
8 . 已知数列
是公比为
的等比数列,且满足
,
,
成等比数列,
为数列
的前
项和,且
是
和
的等差中项,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4844ada5b5eb39d704345bb4e6080d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2021高三·全国·专题练习
9 . 已知数列
是公比为
的等比数列,且满足
,
,
成等比数列,
为数列
的前
项和,且
是
和
的等差中项,设数列
的前
项和为
,若不等式
对于
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4844ada5b5eb39d704345bb4e6080d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.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/a1ad96cc0ec32ddb3a08d886f89fb9c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dafd98e5b223908b13013c3cacc0386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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