11-12高二下·广东·期末
真题
名校
1 . 设数列
是等比数列,
,已知
, (1)求数列
的首项和公比;(2)求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e95079e6e165d3c0d2a6663c13497f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2087732b533a2d1fae1b78d4ac46d967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58987162220a46e876ac1deec190f70d.png)
您最近一年使用:0次
2016-12-02更新
|
1054次组卷
|
3卷引用:2020届山东省济宁市嘉祥一中高三第三次质量检测数学试题
12-13高二上·山东济南·期末
解题方法
2 . 已知数列
的前
项的和
,数列
是正项等比数列,且满足
,
.
(1)求数列
和
的通项公式;
(2)记
,求数列
的前
项的和
.
![](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/57c599e7cec6d192fb73218e7882ceca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c800562a3f83b1594567ad211e41471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654acb1020381e4d0bc9625fdd530428.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9221c0c92a526f65533cdc5400767af.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)
您最近一年使用:0次
11-12高三下·山东潍坊·假期作业
3 . 设曲线
在点
处的切线与y轴交于点
.
(1)求数列
的通项公式;
(2)设数列
的前
项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d8b2c1e7acbab4d7354a17d085b12b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33238c2da6db42ea3232888881b893cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea146ea106450d7aab7e98fa7dca136.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
11-12高三·山东烟台·阶段练习
解题方法
4 . 设等比数列
的前
项和为
,已知
N
).
(1)求数列
的通项公式;
(2)在
与
之间插入
个数,使这
个数组成公差为
的等差数列,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/3887c3eb4aed2ca76f9e26ca4c0078d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec53fd82557a22187381f646a5b8293.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3468a665ac713ab7b400c672f19650a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e260b088f071983f254ce8f5163fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce32b208c2c6eebbf67aabc91324ad7.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
11-12高三·山东潍坊·阶段练习
5 . 已知数列
有
(常数p>0),对任意的正整数n,Sn=a1+a2+…+an,
并有
满足
.
(I)试判断数列
是否是等差数列,若是,求其通项公式,若不是,说明理由;
(II)令
是数列
的前n项和,求证:Tn﹣2n<3.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316968e9cc29cd76f354fb60f55e24d9.png)
并有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372af54bf1ce5b1c157d2ee5c77d4338.png)
(I)试判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2348d5068480809ea002ebc2d3261b.png)
(II)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39cc161913bbe37bbc112ff56e6859a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1253507b254683e9ed15cea07d553f.png)
您最近一年使用:0次
11-12高三下·山东济南·阶段练习
6 . 已知数列
为等差数列,且
;设数列
的前
项和为
,且
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
为数列
的前
项和,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2569b97eb78e209a7956bc44bd50a823.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8193f988e9a47319f679de7f1696046.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3b5454c4077946adb143cc835a37f9.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/68eee81e090b96819b7df54fc1bcc3a6.png)
您最近一年使用:0次
12-13高三上·山东德州·期末
解题方法
7 . 已知数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff743e5b9c3f6e92fe04535510142af4.png)
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff743e5b9c3f6e92fe04535510142af4.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add02169a8f58417880df4e302a7c498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
12-13高二上·山东临沂·期末
解题方法
8 . 设
是等差数列,
是各项都为正数的等比数列,且
,
,
是
与
的等差中项.
(1)求
,
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebaf2a2590bb84d646957f913d78f6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7af0a369800b213de0378a1c4e96de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2767882820f4ba0defde0e412adb747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
9 . 若数列
满足
,
,
设
,类比课本中推导等比数列前
项和公式的方法,可求得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433539b1038c12f042a9d312985e4b29.png)
______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853eace02560e7f1490694276c29a856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae17632f8485f3ea54d21e3234940968.png)
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d890a4dcddf8d6483a22df36ca8fe1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433539b1038c12f042a9d312985e4b29.png)
您最近一年使用:0次
2016-12-01更新
|
903次组卷
|
4卷引用:山东省淄博第五中学2022-2023学年高二下学期3月月考数学试题