名校
解题方法
1 . 已知数列
的前n项和为
,且
,
,数列
满足
.
(1)求数列
的通项公式;
(2)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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131719ddba3ab35953e148446e55dec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8542eab3c53c9307d9e24354a21638f9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f22734c15f1ca7b2dbb38ba2f565db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.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/e672c3d231081d12e44a4211e5ac60bf.png)
您最近一年使用:0次
2021-05-29更新
|
919次组卷
|
5卷引用:江苏省镇江市扬中市第二高级中学2022-2023学年高二下学期期末检测数学试题
江苏省镇江市扬中市第二高级中学2022-2023学年高二下学期期末检测数学试题江苏省徐州市2021届高三下学期高考考前模拟数学试题江苏省徐州市2021届高三下学期5月四模数学试题河南省周口市川汇区周口恒大中学2023-2024学年高二上学期期末数学试题(已下线)一轮复习大题专练32—数列(证明不等式问题)-2022届高三数学一轮复习
2 . 给出以下两个条件:①对于
,点
均在函数
的图象上,其中
为常数;②
.请从这两个条件中任选一个将下面的题目补充完整,并求解.设
是一个公比为
的等比数列,且它的首项
, .
(1)求数列
的通项公式;
(2)令
,证明数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac657ea5bbf4b237a30e4074c76cc81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184a6d327a0d8ee359e74c2c5e2f257e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51effc8647c40eef26119e9961b7058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdc17b603871d20843ffccca2df0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a773792776c7f4a43ac7887ead8c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27209a7785199fe571ff7eb939e1fbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c33158869a3753744980342ff7de1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9928e46511e601913619a427ded84a3.png)
您最近一年使用:0次
3 .
是数列
的前
项和,
.
(1)证明
的等比数列;
(2)设
,求数列
的前
项和
.
![](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/2cdf465db6b7a7f327a1cb4a2e8125d1.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c4ca41def22dcbe39612798d98297b.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)
您最近一年使用:0次
2020-09-02更新
|
606次组卷
|
4卷引用:江苏省连云港市2022-2023学年高二上学期期末模拟数学试题(3)
名校
4 . 设数列
的前
项的和为
,且满足
,对
,都有
(其中常数
),数列
满足
.
(1)求证:数列
是等比数列;
(2)若
,求
的值;
(3)若
,使得
,记
,求数列
的前
项的和.
![](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/cac657ea5bbf4b237a30e4074c76cc81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180860a74f8c29fe0b290e670b66a39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dab9e79198239cda875305fd6809b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8586c5db6e82cd588a6d1ad9605ed4.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e93281edb215675328570aeed1f4d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769c0f627abaf3793d2e489c251e10fa.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2c8b9d6fe15a9e9e0f43c4533cddee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12c6c3ecaefcf0bcc255c250f6d295f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d9d813c3aaa98d0de74d2dc8a699724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a39820f77807d8146c19c5dcdfbfbed.png)
您最近一年使用:0次