名校
解题方法
1 . 由正整数组成的数对按规律排列如下:
,
.若数对
满足
,则数对
排在第_______ 位.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a2f06fb0027c961b32cbb1fcf21958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f840afbf1a30a0a775964f4af077ef40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633c9c159d7c1bd064e82a0574983da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
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名校
2 . 已知等差数列
的前
项和为
,满足
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/958e0d00afd9f6f003b2aa27325b7b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd2e1d218f04b7329dab8e28267c0e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
A.10 | B.11 | C.12 | D.13 |
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2024-02-21更新
|
2161次组卷
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5卷引用:重庆市南开中学校2023-2024学年高三第六次质量检测(2月)数学试题
名校
3 . 已知
为等差数列,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5d2068f5409631bc6c122a847ce6c2.png)
为等比数列,满足
,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/1a5d2068f5409631bc6c122a847ce6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803a17f206ec20e9fc5266aaebe7c21f.png)
A.数列![]() | B.![]() |
C.![]() | D.数列![]() ![]() |
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2024-02-12更新
|
501次组卷
|
5卷引用:广东省高州市2023-2024学年高二上学期期末教学质量监测数学试题
名校
解题方法
4 . 已知
,
均为等差数列,且
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7a4cd8af53eccad6934b24fdaf1c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9462a35dd7bf1b46eb606b10e406581.png)
A.2026 | B.2025 | C.2024 | D.2023 |
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2024-02-12更新
|
815次组卷
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4卷引用:河北省唐山市2023-2024学年高二上学期期末考试数学试题
河北省唐山市2023-2024学年高二上学期期末考试数学试题河北省承德市宽城满族自治县第一中学2023-2024学年高二下学期期初考试数学试卷(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)
名校
解题方法
5 . 已知数列
为等差数列,前
项和为
,若
,则
等于( )
![](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/320fe00c332dacd497e3be0123fac16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addee6ce5163a2580888ce2da22714af.png)
A.2023 | B.2024 | C.2025 | D.2048 |
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2024-02-06更新
|
1475次组卷
|
3卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
名校
6 . 等差数列
的前
项和记为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3adf2bf9a573b812ba2039e75368395.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/f2d1d3b0c64597714f8ee82d8a2422aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3adf2bf9a573b812ba2039e75368395.png)
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7 . 已知
为等差数列,则下面数列中一定是等差数列的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 记
为数列
的前
项和,已知
,
是公差为
的等差数列.
(1)求
的通项公式;
(2)记
为
在区间
中的项的个数,求数列
的前
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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf8c4060c7a614a2f287e9fa8fd9f627.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c80619e815a0014a898d5dd5a5233a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7d61d8d2d2d43bcc6791a0174b114e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5585488a47eb43dc717b899039ed1966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e74be91bfe4bc209da7539dbf9b72c.png)
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名校
解题方法
9 . 等差数列
中,
,设数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc625e19e7ca2b9d097f67a3d472e47.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890644ae83ebb3572c3d001a94de0b0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.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/3bc625e19e7ca2b9d097f67a3d472e47.png)
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10 . 已知
,
分别是等差数列
,
的前n项和,且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c737b1632546c67a2904ca5e2495df28.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ffb81f09e765577b298dc80a66a891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c737b1632546c67a2904ca5e2495df28.png)
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