解题方法
1 . 已知数列
的前
项和
,若
是
的等差中项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.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/ea1b0f7322ab508cb63adaa5e4d57076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057fa70d70a8c12c315e8549e113e13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4cbaee2f6743d0b47bbfe54359bd4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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2024-03-27更新
|
364次组卷
|
2卷引用:河南省濮阳市2024届高三下学期第一次模拟考试数学试题
解题方法
2 . 已知等差数列中,
,
.求
的通项公式;
您最近一年使用:0次
名校
3 . 已知数列
是公差为d的等差数列,对正整数m,n,p,若
,则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994b2b0e9cfdf45933f6425693ddf4d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ebf42a9145d8d2b6f1f614842871d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d38c4c234dd55eaf29979489df6f99b.png)
A.充分不必要条件 | B.必要不充分条件 |
C.既不充分也不必要条件 | D.充要条件 |
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2024-03-09更新
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2卷引用:山东省菏泽第一中学人民路校区2024届高三下学期开学考试数学试题
名校
解题方法
4 . 已知数列
满足
.若数列
的前
项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2463754d676ff215c0fb15ec53852f1.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/21088d0af883ef0df5e2c4b5f7e53fcf.png)
A.4046 | B.4047 | C.8092 | D.8094 |
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解题方法
5 . 记数列
的前
项和为
,已知
.
(1)证明:
;
(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/c437dc687ac4d6e319a4552e89f4806c.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d716ccbf4313122355c270fe2e67b5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e5320e9d530248bab48655c8c6e46e.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)
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6 . 等差数列
的前
项和为
,且
,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/4834730a9ca84eef3d53965009f8c2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373894edc0260aab0faa4ac754450b4f.png)
A.15 | B.10 | C.25 | D.20 |
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7 . 如图,在每个空格中填入一个数字,使每一行方格中的数成等比数列,每一列方格中的数成等差数列,则( )
1 | ![]() | 4 |
![]() | 6 | ![]() |
![]() | ![]() | 20 |
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-29更新
|
233次组卷
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3卷引用:河北省保定市定州市第二中学2023-2024学年高二下学期开学考试数学试题
河北省保定市定州市第二中学2023-2024学年高二下学期开学考试数学试题湖南省岳阳市湘阴县知源高级中学等多校2023-2024学年高二下学期入学考试数学试题(已下线)第一章数列章末综合检测卷(新题型)-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)
名校
解题方法
8 . 已知数列
是等比数列,且
.设
,数列
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794e305187cc0ca7c94ba37d09afb282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
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2024-02-28更新
|
1224次组卷
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4卷引用:江苏省南通市通州区2024届高三下学期期初质量监测数学试题
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解题方法
9 . 斐波那契数列又称为黄金分割数列,在现代物理、化学等领域都有应用.斐波那契数列
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54ed259740712db41ed37ed540941f3.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() |
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2024-02-27更新
|
379次组卷
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2卷引用:河南省周口市部分重点高中2023-2024学年高三下学期2月开学收心考试数学试题
10 . 已知
为正实数,且
这三个数可适当排序后成等差数列,也可适当排序后成等比数列,则
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30023080e0dd34fb1691603ac5ab8f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.6 | B.8 | C.10 | D.12 |
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