解题方法
1 . 记数列
的前
项之积为
,已知
,且
.
(1)求
;
(2)求
;
(3)证明:
.
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7f5807255c951ce17b3f0fdd50006b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58ed86115082ef4eca8105a42c5a331.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6660efe5a98bf6dc6c8097922c8e556b.png)
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解题方法
2 . 已知数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)证明:
.
![](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/b37b49e6fdd2fbbf0e5b6725084fb12d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b45bf8bd7d2ebeeaef7e5b04d158ce4.png)
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名校
3 . 已知数列
满足,
,
,设数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d48868b259993d0000b7c47525ebcb.png)
(1)求证数列
为等差数列;
(2)求数列
的通项公式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e17f237816c349e18bd958241b2d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d48868b259993d0000b7c47525ebcb.png)
(1)求证数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2022-01-16更新
|
1661次组卷
|
6卷引用:海南省华侨中学2021-2022学年高二上学期期末考试数学试题
海南省华侨中学2021-2022学年高二上学期期末考试数学试题(已下线)4.2.1 等差数列的概念 (精练)-【题型分类归纳】2022-2023学年高二数学同步讲与练(人教A版2019选择性必修第二册)湖南省株洲市攸县健坤高级中学2023-2024学年高二上学期第三次月考数学试题(已下线)解密10 等差数列、等比数列(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(全国通用)(已下线)4.1 等差数列(精练)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)(已下线)专题24 等差数列及其前n项和-1
解题方法
4 . 已知数列
的前
项和
,且
.
(1)证明:数列
为等差数列;
(2)设
,记数列
的前
项和为
,若
,对任意
恒成立,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/38bc0c25fb22d1a1965fe854b487dee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d3d55a85012933f91c5d8d27d8801d.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/d7d3c671f373f48752d9125c2797b066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
5 . 已知数列
满足
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c6303c2ec03e48137be8addf9245c.png)
(1)求证:数列
为等差数列
(2)求数列
的通项公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c6303c2ec03e48137be8addf9245c.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2019-12-02更新
|
706次组卷
|
7卷引用:海南省海南鑫源高级中学2019-2020学年高二上学期期末考试数学试题
海南省海南鑫源高级中学2019-2020学年高二上学期期末考试数学试题四川省双流艺体中学2018-2019学年度高一下学期第一次月考数学试题四川省广元市苍溪县实验中学校2019-2020学年高一下学期期中考试数学试卷(已下线)考点22 等差数列及其前n项和-备战2021年高考数学(理)一轮复习考点一遍过(已下线)考点21 等差数列及其前n项和-备战2021年高考数学(文)一轮复习考点一遍过四川省内江市威远中学2020-2021学年高一下学期期中考试数学(理)试题四川省内江市威远中学2020-2021学年高一下学期期中考试数学(文)试题
6 . 在数列
中,
,
,设
.
(1)证明:数列
是等比数列;
(2)求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de8cdd76265c53ae4d425b27fcc3119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f425e5b50408cf4c676117a29412aab.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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2019-06-12更新
|
518次组卷
|
2卷引用:海南省八校联盟2018-2019学年高二下学期期末数学试题
7 . 设等比数列
的前
项和为
,已知
,且
成等差数列.
(1)求数列
的通项公式;
(2)令
,设数列
的前
项和为
,求证:
.
![](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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ab8686e127b133fc14efd63fc9700f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29ee83dfef76fa4425a09ee8152b2b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.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/c1056f02e4a7e9b8fd479519eec2d9b3.png)
您最近一年使用:0次
10-11高二下·海南·期末
8 . (I)解不等式:
;
(II)设
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6775caeb7691468e877a7606acb79b84.png)
(II)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa70cba471ba57de69c962db483173f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e1e611ae3e3594be8de33f953dc19c.png)
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10-11高二下·海南·期末
9 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d1b50a876fa992d90d8b481e087180.png)
(1)证明:
;
(2)求不等式
的解集;
(3)当
时,求函数
的最大值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037c0152137eeedfa94ba3a1fda5fa3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d1b50a876fa992d90d8b481e087180.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9148f70d6b62d535b32aa6552c1607.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447d6f62c09c1d05346fd16a24159f6e.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0bf8e2bf9ca47fc18043204a50d19f.png)
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