1 . 记
为等差数列
的前n项和,已知
,从以下两个条件中任选其中一个给出解答.①
;②
.
(1)求公差
;
(2)求
,并求
的最小值.
注:如果选择多个条件分别解答,则按第一个解答计分.
![](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/df93c3ba86ea86c617ca7cf0236c7f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4107fd29fbc133c073532ff21deae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44452ccfd15b9ebb6d4f68c348a7433.png)
(1)求公差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
注:如果选择多个条件分别解答,则按第一个解答计分.
您最近一年使用:0次
2 . 已知在等差数列
中,
.
(1)求数列
的通项公式;
(2)记数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558a5c8887f3fbbeab3fa75bda981aba.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记数列
![](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/0031136b88c5c677de5ab4b3c74b7388.png)
您最近一年使用:0次
2023-08-20更新
|
395次组卷
|
2卷引用:贵州省黔西南州兴义市顶效开发区顶兴学校2022-2023学年高二下学期第三次月考数学试题
名校
解题方法
3 . 如图,北京天坛圆丘坛的地面由石板铺成,最中间的是圆形的天心石,围绕天心石的是9圈扇环形的石板,从内到外各圈的石板数依次为
,
,
,…,
,设数列
为等差数列,它的前n项和为
,且
,
,则( )
![](https://img.xkw.com/dksih/QBM/2023/5/17/3239597174661120/3301324987793408/STEM/d971eafbeae445b7b203d6c7d81ba0f7.png?resizew=227)
![](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/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](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/039e449a6d9e76e0497bf2672740f801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b9eba619fd20aa0f1b94f439e8c6fb.png)
![](https://img.xkw.com/dksih/QBM/2023/5/17/3239597174661120/3301324987793408/STEM/d971eafbeae445b7b203d6c7d81ba0f7.png?resizew=227)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-12更新
|
362次组卷
|
12卷引用:贵州省黔西南州兴义市顶效开发区顶兴学校2022-2023学年高二下学期期中考试数学试题
贵州省黔西南州兴义市顶效开发区顶兴学校2022-2023学年高二下学期期中考试数学试题河南省南阳市邓州春雨国文学校2022-2023学年高二下学期3月考试数学试题(已下线)模块五 专题2 期末全真模拟(基础卷2)高二期末黑龙江省鹤岗市第一中学2021-2022学年高二下学期开学考试数学试题(已下线)2023年高三数学押题密卷三辽宁省大连市康考迪亚高级中学2022-2023学年高三二模拟数学试题第一章 数列(A卷·夯实基础)浙江省宁波赫威斯肯特学校2023-2024学年高三普高部上学期第一次月考数学试题广东省2022届高三上学期第三次联考数学试题河北省邢台市2022届高三上学期期末数学试题河北省沧州市海兴县2023届高三上学期12月调研数学试题(已下线)模块三 专题1 题型突破篇 小题入门夯实练(3)期末终极研习室(2023-2024学年第一学期)高三
4 . 在等差数列
中,
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fb3634ef6515ebb1db5df9208a9f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6832051de5898c8540b448f73eb3795c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
A.2 | B.6 | C.8 | D.12 |
您最近一年使用:0次
5 . 设等差数列
的前
项和为
,公差为
.已知
,
,
,则下列说法正确的是( )
![](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/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0939caf47d751f8c7139bd0b25fe98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb23a0aa533fe2f67a50551bb7772ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1508953a6b81848a89411596db8c00.png)
A.![]() |
B.当![]() ![]() |
C.![]() ![]() |
D.数列![]() |
您最近一年使用:0次
名校
6 . 已知
是等差数列,
,
.
(1)求数列
的通项公式及前
项和
;
(2)若等比数列
满足
,
,求
的通项公式.
![](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/2a0d29f34218cd60cc6e9ce4dcd13925.png)
(1)求数列
![](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)
(2)若等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012f1e5df0528c0f9a5754b7dc84424e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b25850823f9366760bbb8326b134e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2022-11-13更新
|
374次组卷
|
5卷引用:贵州省黔西南布依族苗族自治州2022-2023学年高二上学期期末教学质量监测数学试题
7 . 等差数列
的前
项和为
,
,若
,
,则数列
的公差为( )
![](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/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c24b4e7fa07d15796c40d45e200d382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.3 | C.![]() | D.2 |
您最近一年使用:0次
2022-03-09更新
|
372次组卷
|
2卷引用:贵州省黔西南州兴义市顶效开发区顶兴学校2022-2023学年高二下学期期中考试数学试题
名校
解题方法
8 . 已知等差数列
的公差不为0,且满足
.
(1)求
的通项公式;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7430ebe96ddddba3766875212d8c09f5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06036b4f1690854f3324196e3e76f7b.png)
您最近一年使用:0次
2022-01-05更新
|
701次组卷
|
6卷引用:贵州省黔西南州安龙县第四中学2022-2023学年高二下学期期中考试数学试题