设数列
的前
项和为
,满足:
,
.
(1)求证:数列
是等比数列;
(2)求
.
![](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/dbe3547a4813b72dbad38be2fa953d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d959c4b881aa80d7dbd5248f0659b3.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a722ed882b4a98bb05fc533e3244ac.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
2020高三·全国·专题练习 查看更多[1]
(已下线)专题6.3 等比数列及其前n项和-2021年高考数学(理)一轮复习-题型全归纳与高效训练突破
更新时间:2020-08-22 06:54:03
|
相似题推荐
【推荐1】在①
,
,
成等差数列,且
;②
,且
;③
(
为常数)从这三个条件中任选一个补充在横线处,并给出解答.
问题:已知数列
的前
项和为
,
,___________,其中
.
(1)求
的通项公式;
(2)记
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22d144b564ca92fae36a5f454952553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43dd99d0e1e08bb6b2fd30d18756b26d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947079197c36e5cfbf651ec6eb00bcd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd67b44effae70835c7db55783f6b45c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c16db7cc57898a6eb3146b19128ae63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
问题:已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f67fd0eb54561cd1df683a08cf049bfc.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/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f67fd0eb54561cd1df683a08cf049bfc.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c73fddc7138f5839173ddbe76fbca30a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52c9237cb0b4acc568d4afb12997186.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
【推荐2】已知数列
满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde69fee0812fdc64dbbee7e48527b90.png)
(1)证明
是等比数列,并求数列
的通项公式;
(2)证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde69fee0812fdc64dbbee7e48527b90.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f331591a8a32f3e781af90af3a53154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460051e994f6e23bd5810a40f7bd21a.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】正项数列
的前
和为
,且
.
(1)求数列
的通项公式;
(2)设
,若数列
为等比数列,求实数
的值.
![](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/ae734ad099abbb2f7efe7d7a6a4169fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296dc5cbc1069f5571fc586712efe7a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afb33288609fafa6c510e56ae8a6074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8719d7713f8d001f78d87f514b8104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
解题方法
【推荐2】设
为数列
的前
项和,已知
.
(1)求
;
(2)求证:
.
![](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/2ab5c9ac4cb8f71c710d9b7836e0c2f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1254070260067f8bf2fec39a7d0c8f1.png)
您最近一年使用:0次