名校
解题方法
1 . 已知
为等差数列,
是其前
项和,若
,且
,则当
取得最大值时,
( )
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf29185db1bed8930efbabd46b0cbcad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95a1c9b86f4d0024c80b41a8cfea8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.3 | B.6 | C.7 | D.8 |
您最近一年使用:0次
2 . 在数列
中,
,且
,则其前
项的和为( )
![](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/2d04cf657161b8a6b4c6a118fe4df485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1a11655c1e9668515ca8551cbd8b3b.png)
A.841 | B.421 | C.840 | D.420 |
您最近一年使用:0次
3 . 我国古代数学名著《张邱建算经》有“分钱问题”:今有与人钱,初一人与三钱,次一人与四钱,次一人与五钱,以次与之,转多一钱,与讫,还敛聚与均分之,人得一百钱,问人几何?意思是:将钱分给若干人,第一人给3钱,第二人给4钱,第三人给5钱,以此类推,每人比前一人多给1钱,分完后,再把钱收回平均分给各人,结果每人分得100钱,问有多少人?则题中的人数是( )
A.145 | B.165 | C.185 | D.195 |
您最近一年使用:0次
2024-05-09更新
|
159次组卷
|
3卷引用:河南省环际大联考“逐梦计划”2023-2024学年高二下学期期中考试数学试题
河南省环际大联考“逐梦计划”2023-2024学年高二下学期期中考试数学试题广西南宁市第二中学·柳州高级中学2023-2024学年高二下学期5月联考数学试题(已下线)专题06 等差数列与等比数列常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
4 . 已知等差数列
的前
项和为
,且
,
.
(1)求数列
的通项公式以及前
项和
;
(2)若
,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/f2fcd86b9ed6819116a261629f96fae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4f12a7a4d9389e6add6e40f15a6b7e.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
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357cf82e1f23d4ce922990a6343407ef.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
2024-05-08更新
|
1091次组卷
|
3卷引用:重庆市西南大学附属中学校2023-2024学年高二下学期期中考试数学试题
重庆市西南大学附属中学校2023-2024学年高二下学期期中考试数学试题四川省成都市金牛区成都外国语学校2023-2024学年高二下学期5月月考数学试题(已下线)专题07 数列通项公式与数列求和--高二期末考点大串讲(人教B版2019选择性必修第三册)
名校
解题方法
5 . 已知等差数列
的前
项和为
,若
,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/725ccd2a0acc3725c0538e9b57b7594c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
A.15 | B.35 | C.75 | D.105 |
您最近一年使用:0次
名校
6 . 已知正项等差数列
的前
项和为
,则
的最大值为( )
![](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/95e83045e1e309928889f15849fdf566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef758f5a10f3c6b08208c907f943ae5c.png)
A.4 | B.8 | C.16 | D.32 |
您最近一年使用:0次
名校
解题方法
7 . 已知等差数列
的前n项和为
,若
,
,则
( )
![](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/dd478b1ba0e42545b45d505e2e84a140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c03d15d5cb7b49ecee2fe5e99fbaa75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
A.50 | B.63 | C.72 | D.135 |
您最近一年使用:0次
名校
解题方法
8 . 记等差数列
的前
项和为
,已知
,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/1cd2b297b8df4fbcebbe496c0c89a0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30eb42578f654fb61e826026d2199751.png)
A.33 | B.44 | C.55 | D.66 |
您最近一年使用:0次
2024-05-07更新
|
828次组卷
|
3卷引用:山东省淄博实验中学2024届高三下学期第三次模拟考试数学试题
(已下线)山东省淄博实验中学2024届高三下学期第三次模拟考试数学试题河南省南阳市第一中学校2023-2024学年高三下学期模拟预测数学试题安徽省安庆市第一中学2024届高三下学期6月第四次模拟(热身考试)数学试卷
9 . 记集合
中元素的个数为
,数列
的前n项和为
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3633cc3419d17d713e61f95c350d86c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.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/d27182444d3da4003680f07ec299087c.png)
A.15 | B.20 | C.47 | D.52 |
您最近一年使用:0次
名校
解题方法
10 . 设等差数列
的前
项和为
,已知
,
,则下列结论一定成立的有( )
![](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/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c58628c8469935bf916f10bcd063c66.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次