名校
解题方法
1 . 已知等差数列
的前n项和为
,
,下列说法正确的是( )
![](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/34c0e966db2d11c9dba1454ac6fcb8e4.png)
A.等差数列![]() | B.等差数列![]() |
C.![]() | D.当![]() ![]() |
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解题方法
2 . 已知等差数列
的公差为
,前
项和为
,
,
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e449a6d9e76e0497bf2672740f801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618715534c33e403ba189272a5fbf478.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() ![]() |
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3 . 已知
是数列
的前
项和,若
是等差数列,且
,
.
(1)求
的值;
(2)
为何值时,
的值最小?
![](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/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738dc67ac3b150252a964d1ffe3dfa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faaad3a38fe590d5bd18f042f14b2a39.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194592cb77de8a597d5d64e1c85c3249.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c544248631c398017c338edf4fcb69.png)
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解题方法
4 . (多选)已知等差数列
的前n项和为
,且
,则下列结论正确的有( )
![](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/1a64252475b505924bbd4b1127f024d0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-16更新
|
362次组卷
|
4卷引用:山东省烟台市2023-2024学年高二上学期期末考试数学试卷
山东省烟台市2023-2024学年高二上学期期末考试数学试卷安徽省六安市金寨县青山中学2023-2024学年高二下学期期中考试数学试题(已下线)专题02等差数列及其前n项和7种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)(已下线)专题03数列期末7种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019选择性必修第三册)
名校
5 . 已知等差数列
的前
项和为
,若
,
,则下列结论正确的是( )
![](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/358dd11daec9da39abfb97639bc199d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd992e992c9cd6bbb52043273cac6bb2.png)
A.数列![]() | B.![]() |
C.当![]() ![]() | D.![]() |
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6 . 已知数列
.求:
(1)数列
的通项公式;
(2)数列
的前
项和
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e74aa761097b101c69f387653598a1.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)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)
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2024-04-13更新
|
999次组卷
|
3卷引用:四川省广安市华蓥中学2023-2024学年高二下学期4月月考数学试题
名校
7 . 设等差数列
,
,
,
的前n项和为
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ 时,
取得最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feba07afa21eb42c2993a2edd582e7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ab7ff4eb43c3609936eb92e780fa89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd87a4d2ab9f959dfce41104628336d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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名校
解题方法
8 . 等差数列
中,若
且
,则下面结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df610dbf6ec2555a7f0510cbac8d05f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7adb182eb756adcb7f0ea0dfa1c4d6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 设等差数列
的前n项和为
,若
,则当
取得最小值时,n的值为( )
![](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/255742bea7cc5507c73a57d77d40c303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.11 | B.10 | C.9 | D.8 |
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2024-04-06更新
|
568次组卷
|
4卷引用:1号卷·A10联盟2021-2022学年(2020级)高二下学期期末联考数学试卷(北师大版)
1号卷·A10联盟2021-2022学年(2020级)高二下学期期末联考数学试卷(北师大版)(已下线)第一章数列章末十六种常考题型归类(2)(已下线)专题06 等差数列与等比数列(2)--高二期末考点大串讲(人教B版2019选择性必修第二册)甘肃省民乐县第一中学2023-2024学年高三下学期5月第一次模拟考试数学试卷
名校
10 . 数列
为等差数列,它的前n项和为
,若
,则λ的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70aa62d5dd947ec4d99ad3ef597937d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2d5d03ebca76d050040bb1821b0b41.png)
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