23-24高二上·江苏·课前预习
1 . 在等差数列
中,公差
,且
成等比数列,则
等于多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2df98ce180b9d9e1a83f2c1332e2da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb46b0c02ecc62ad82f8695b3064cd.png)
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23-24高二上·江苏·课前预习
2 .
是等差数列
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01dd350dc95f42f1883e0cc7aae084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d6f91830062fcd448d074cbdc25f85.png)
A.第1008项 | B.第1009项 |
C.第1010项 | D.第1012项 |
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23-24高二上·江苏·课前预习
解题方法
3 . 设
为数列
的前
项和,
.
(1)求
及
;
(2)判断这个数列是否是等差数列.
![](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/89198457c39e26e48bdef27c42ae7acb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)判断这个数列是否是等差数列.
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23-24高二上·江苏·课前预习
4 . 在等差数列
中,若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04e49e77c0502aae75678f6acd04f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c273b7656ae822a6d802c09396e49bcd.png)
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23-24高二上·江苏·课前预习
5 . 已知数列
满足
,
,则
等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c07dc0907a7078ba70a3e4ddd77df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213746d495ba42eba757fe4c99be1e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
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23-24高二上·江苏·课前预习
解题方法
6 . 在等差数列
中,
(1)已知
,求
与
;
(2)已知
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64fcf95a1d93524ad425ab8a3628adb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71e56f374084c51b0b761c14d750dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0d29f34218cd60cc6e9ce4dcd13925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
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解题方法
7 . 设
为数列
的前n项和,
(1)求
及
;
(2)判断这个数列是否是等差数列.
![](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/fe8ac883e5d7f26bfe11704862f108d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)判断这个数列是否是等差数列.
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2023-12-19更新
|
707次组卷
|
6卷引用:第四章 数列(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)
(已下线)第四章 数列(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)人教A版(2019) 选修第二册 数学奇书 第四章 数列 4.2等差数列 4.2.2 等差数列的前n项和公式 第1课时 等差数列的前n项和陕西省西安市长安区2022-2023学年高二上学期期中数学试题(已下线)第四章 数列 讲核心 01(已下线)考点3 等差列的前n项和及其性质 2024届高考数学考点总动员【练】(已下线)专题04 数列(1)
8 . 等差数列的性质
若
为等差数列,公差为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f41be28dde65afb2fecd475276bc477.png)
_____ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5432047d5cbe902bd82fd3ba790b66.png)
_____ .
(2)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff695a8f3460f611843351203f4de63.png)
_____ .
(3)若_______ ,则
为等差数列.
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f41be28dde65afb2fecd475276bc477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5432047d5cbe902bd82fd3ba790b66.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb679318d0c9819b82e51a1750b502a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff695a8f3460f611843351203f4de63.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40ebba1ff31c193ff699fd53a5cd3d0.png)
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9 . 等差数列的通项公式
若
为等差数列,公差为
.
(1)
的通项公式为_______ ,
(2)
为递增数列的充要条件为_____ ;
为递减数列的充要条件为_____ ;
为常数列的充要条件为______ .
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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10 . 等差中项
(1)如果三个数
成等差数列,则
叫作
的____ .
(2)如果
为
的等差中项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
_____ .
(1)如果三个数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96d444cb9c5db8ff0829ef8a30c3d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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