名校
1 . 设
为等差数列
的前
项和,已知
,则
的值为( )
![](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/c153267d0f63a741ab4c54f99f2b9a33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
A.5 | B.7 | C.9 | D.10 |
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3卷引用:云南省昆明市云南师范大学附属中学2023-2024学年高二下学期教学测评月考(五)数学试题
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2 . 设等差数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.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/0b389a8bea18b8a276a448b1b2f7342d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
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3 . 在等差数列
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f95639ea0eef3c14bce022578f01f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
A.4 | B.5 | C.6 | D.8 |
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23-24高二下·全国·课前预习
4 . 等差数列通项公式的变形及推广
(1)
,
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a26b10d182d3b41ff05beea6edfdf18.png)
________ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69421e5e6e1f03af5335ea0faa077de9.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
________
,且
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65287b4936b1d642651ec534faee79ad.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a26b10d182d3b41ff05beea6edfdf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69421e5e6e1f03af5335ea0faa077de9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ac5b6cc698996f7aac77a0d75d02d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb55a6ac710d45ef73be9d94340f7df.png)
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5 . 在等差数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017280e1d8c7bac0b8d06cd473f6a059.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37678b5a11cdd20e1523d54e720ad773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017280e1d8c7bac0b8d06cd473f6a059.png)
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解题方法
6 . 已知数列
的前n项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.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/a6a9f180622312f9d93506488abf326b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
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7 . 已知在等差数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c89bea92b3075831f40e95e9b31f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6c2e49c873187b12e90a7b4d5d906b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f68033c1b49f0c52daefd870c166ad.png)
A.0 | B.6 | C.8 | D.10 |
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2024高三·全国·专题练习
8 . 已知数列
为等差数列,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b24b67d146d29e3d8f0cf94b2e76688.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d6eece21bf3d2a850ac278a19b6314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b24b67d146d29e3d8f0cf94b2e76688.png)
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9 . 在等差数列
中,若
,则公差
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0279f5f2e55fee10bdc33356377ef04b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
10 . 等差数列
中,若
,
,则其公差等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a980ae9cfbae2e223ca751031f10a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0cb78bd4e78fc95cab7ab30be76f2b8.png)
A.2 | B.3 | C.6 | D.18 |
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