名校
解题方法
1 . 已知数列
是公差不为零的等差数列,
,且
,
,
成等比数列.
(1)求
的通项公式;
(2)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd807f60189a561ac93ed025445c787e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.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
2022-07-07更新
|
2785次组卷
|
14卷引用:4.3.1 等比数列的概念(同步练习)-【一堂好课】2022-2023学年高二数学同步名师重点课堂(人教A版2019选择性必修第二册)
(已下线)4.3.1 等比数列的概念(同步练习)-【一堂好课】2022-2023学年高二数学同步名师重点课堂(人教A版2019选择性必修第二册)陕西省商洛市2021-2022学年高二下学期期末文科数学试题广西贵港市2021-2022学年高二下学期期末教学质量监测数学(文)试题(已下线)专题27 数列求和-2河南省北大公学禹州国际学校2022-2023学年高三上学期第一次月考理科数学试题新疆伊犁州霍尔果斯市苏港中学2023届高三上学期第一次月考数学(文)试题河南省洛阳市创新发展联盟2022-2023学年高三摸底考试文科数学试题广西玉林市2022-2023学年高二下学期期中检测数学试题(已下线)第7讲 数列求和9种常见题型总结 (2)陕西省渭南市大荔县2022-2023学年高二下学期期末理科数学试题陕西省渭南市大荔县2022-2023学年高二下学期期末文科数学试题安徽省阜阳汇文中学2022-2023学年高二下学期第三次月考数学试题陕西省商洛市洛南中学2022-2023学年高二下学期6月月考文科数学试题天津市南开区2023-2024学年高二上学期阶段性质量监测(二)数学试题
名校
解题方法
2 . 已知数列
的前n项和
满足
.
(1)证明:数列
是等比数列;
(2)设数列
的前n项和为
,求证:
.
![](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/d3cab1c977bfc938b7b865c16312aacf.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e18eb693f55edd2b9f26d3a7010d25.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203a63ef29b384faa8ee3b7ae870ba2a.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
2022-07-07更新
|
2290次组卷
|
6卷引用:1.3.2 等比数列与指数函数(同步练习提高版)
1.3.2 等比数列与指数函数(同步练习提高版)(已下线)专题27 数列求和-2山西省大同市2023届高三上学期第一次学情调研数学试题(已下线)第7讲 数列求和9种常见题型总结 (2)(已下线)第四节 数列求和 A素养养成卷四川省绵阳南山中学实验学校补习版2023届高三一诊模拟考试理科数学试题
解题方法
3 . 已知等差数列
的前
项和为
,若
,
,
,数列
的前
项和为
,则( )
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89557d9ecaa3227d2d36e3d1208f47c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4e5bb55dc85150de816e2d475e94aa.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)
A.数列![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-09-03更新
|
871次组卷
|
4卷引用:2023版 苏教版(2019) 选修第一册 名师精选卷 第十单元 等差数列 A卷
2023版 苏教版(2019) 选修第一册 名师精选卷 第十单元 等差数列 A卷吉林省通化市辉南县第六中学2022-2023学年高二上学期期中数学试题(已下线)4.2.3 等差数列的前n项和-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)(已下线)专题03 等差数列(二十三大题型+过关检测专训)(4)
4 . 已知等差数列
满足
,
.数列
的前
项和为
,数列
的前
项和为
,若
,则
的可能取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd33b6c5a8037b0e80ac8fb6fad412d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc7f51b64c5b74cc1c66e4062940b1b.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.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/42c582ba1e2d0692b2fdadbd341e8bb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.98 | B.99 | C.100 | D.101 |
您最近一年使用:0次
5 . 设曲线
(
)在点
处的切线与x轴交点的横坐标为
,令
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7c950bdbee73cde08df648b031715c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840d4328802ab25be159bc9d794bd833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b8573b1e9753753db1cc3369955471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757a7672cd4603d5a4184cb7f35dd1b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7c950bdbee73cde08df648b031715c.png)
您最近一年使用:0次
名校
解题方法
6 . 设数列
的前n项和为
,且
,
,则数列
的前10项和是( )
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe97dafa0c3ac9d89f0fa7ad0899ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52cf314dfbf0f31f0d03c2c1b96cdd5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-08-31更新
|
1941次组卷
|
6卷引用:2023版 湘教版(2019) 选修第一册 过关斩将 第1章 专题强化练1 等差数列的综合应用
7 . 已知等差数列
的前n项和为
,
,
.
(1)求
及
;
(2)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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4e540d89c9754a2bb49169747f438d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2e6956e0073cef684fef6a16bead0a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00f934ec9aa1208cb375e7559070880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-08-31更新
|
645次组卷
|
3卷引用:2023版 湘教版(2019) 选修第一册 过关斩将 第1章 1.2.3等差数列的前n项和
8 . 已知函数
的图象过点
,且
,
.记数列
的前n项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f4293f980e9dba316c4ee7961e1e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57696b8ceb1cd08474302deda13e2cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864e534680bec06b5b7c02b687b60e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4b5a382f920203b9ef307224ae641e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 设数列
满足
,
,且
.
(1)计算
,
,猜测
的通项公式,并加以证明.
(2)求证:
.
![](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/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cef40db43232cc97e2b7676fb75181.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4168dc07f0db5540afc55f886b2ab069.png)
您最近一年使用:0次
解题方法
10 . 设
是等比数列
的前n项和,已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183fa47ad8117000898a02c14f4c0da1.png)
(1)求
和
;
(2)若
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315b41eeea0dbaa395af2474c4ba6acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183fa47ad8117000898a02c14f4c0da1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea451369913dd8fd4945fe54ba1d2646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次