名校
解题方法
1 . 在等差数列
中,
,数列
的公差为
,前
项和为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a60fab9ac1eb590b1e3a9b1567f570.png)
(1)求
的值;
(2)下列两小题只选一小题 再作答.
选做①若公差
,且
成等比数列,求通项![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e46877f6bb0cbd3794d26eb09b87d9.png)
选做②若
,求数列
的前
项乘积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68cb09b3c3662dda48f3a58840e51574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a60fab9ac1eb590b1e3a9b1567f570.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
(2)下列两小题只选一小题 再作答.
选做①若公差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a4611d6e3db2b367b7b2009fb8579c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f9f6e2960a7b82dedeb6e2cc494c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e46877f6bb0cbd3794d26eb09b87d9.png)
选做②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59056cdc40fd65ea358643c2e8249ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fe62f4c0059f9430ab76d68a07de7d.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
解题方法
2 . 已知数列
的前
项和为
,
,
,
.
(1)求数列
的通项公式;
(2)若
,
,
成等比数列,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22c8671a46cc31cb14f2980a190ad9f.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2957dc7d003e448877f1a8004a1b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22c8671a46cc31cb14f2980a190ad9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0620331265c321c19bc86f418a3e014d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78a6baca8d2fc852756d8fec17300a4.png)
您最近一年使用:0次
2021-03-07更新
|
3668次组卷
|
8卷引用:广东省广州市天河区2021届高考二模数学试题
广东省广州市天河区2021届高考二模数学试题(已下线)专题35 仿真模拟卷03-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)(已下线)专题1.3 数列-常规型-2021年高考数学解答题挑战满分专项训练(新高考地区专用)(已下线)押第20题数列-备战2021年高考数学临考题号押题(浙江专用)(已下线)押第17题 解三角形与数列-备战2021年高考数学(理)临考题号押题(全国卷2)(已下线)押第17题 解三角形与数列-备战2021年高考数学(文)临考题号押题(全国卷2)(已下线)2021年秋季高三数学(理)开学摸底考试卷01(已下线)2021年秋季高三数学(文)开学摸底考试卷01
名校
3 . 在等比数列
中,公比
,且满足
,
.
(1)求数列
的通项公式;
(2)设
,数列
的前
项和为
,当
取最大值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae99e050d0f1cfc0447304f06424d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb334e165679c6cb500c994cffa47147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f22a2ea76b871c87c7a6b3f20b2f2d0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.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/55493a358d77b09ba82e88c8ba3a25cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2020-11-18更新
|
476次组卷
|
8卷引用:2019年10月广东省广州市天河区高考数学一模(文)试题
2019年10月广东省广州市天河区高考数学一模(文)试题辽宁省六校协作体2019-2020学年高二上学期10月月考数学试题2020届湖南省长沙市雅礼中学高三上学期第3次月考数学(文)试题(已下线)全国名校2019年高三11月学科网大联考考后强化卷-文科数学湖南省湘潭市第一中学2019-2020学年高二上学期期末数学试题苏教版(2019) 选修第一册 选填专练 第4章 微专题九 等比数列的性质及其应用(已下线)2020年高考全国3数学文高考真题变式题16-20题2023版 苏教版(2019) 选修第一册 名师精选卷 第十一单元 等比数列 A卷
4 . 已知等比数列
的各项均为正数,
为等比数列
的前
项和,若
,
.
(1)
恒成立,求
的最小值;
(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/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/fb826b0eee0ec278a944d5c78685c050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87db9518d5d83179aa7d6c4703cfabed.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f90a32def0a6a6c91ae2bae3169d865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)设
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
5 . 在数1和100之间插入n个实数,使得这
个数构成递增的等比数列,将这
个数的乘积记作
,再令
,
.
(1)求数列
的通项公式;
(2)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3468a665ac713ab7b400c672f19650a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3468a665ac713ab7b400c672f19650a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7263d1a497490763beb2b3292b8ff7b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e167b43045b3297248e334c41c621b8f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1f9e2d4044a9f55a9b9ca624371d44.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
2020-03-04更新
|
487次组卷
|
3卷引用:广东省中山市2021届高三上学期期末数学试题
名校
解题方法
6 . 已知等比数列
的前
项和为
,且
,
.
(1)若
成等比数列,求
值;
(2)求
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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b1180dd03bf44de7aa2b75a839bc28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701854aa9d701a4b4208d5e4848b3134.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923aea35aec97b747fea6ed077b24b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
2017-10-14更新
|
444次组卷
|
3卷引用:2016-2017学年广东省阳春市一中高二理上学期第一次月考数学试卷
名校
7 . 已知{an}为等差数列,且满足a1+a3=8,a2+a4=12
(1)求数列{an}的通项公式;
(2)记数列{an}的前n项和为Sn,若a3,ak+1,Sk成等比数列,求正整数k.
(1)求数列{an}的通项公式;
(2)记数列{an}的前n项和为Sn,若a3,ak+1,Sk成等比数列,求正整数k.
您最近一年使用:0次
2017-05-04更新
|
935次组卷
|
9卷引用:2016届广东省惠州市高三第一次调研考试数学文试卷
2016届广东省惠州市高三第一次调研考试数学文试卷2016届广东省惠州市高三第一次调研考试数学理试卷12016届广东省惠州市高三第一次调研考试数学理试卷2湖北省武汉二中、麻城一中2016-2017学年高一下学期期中考试数学(文)试题河北省邯郸市成安县第一中学2017-2018学年高二9月月考数学(理)试题河北省邯郸市成安县第一中学2017-2018学年高二9月月考数学(文)试题(已下线)2018年10月17日 《每日一题》人教必修5-(上学期期中复习)等差数列与等比数列黑龙江省牡丹江市第三中学2021-2022学年高三上学期第三次月考数学(理)试题(已下线)专题7 等比数列的性质 微点3 等比数列的性质综合训练
11-12高一下·内蒙古包头·期中
解题方法
8 . 在等比数列
的前
项和中,
最小,且
,前
项和
,求
和公比
![](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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec0f03c8c144f76d8528e91f16bf273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4720821a9360798a78a61c08be4f28ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次