名校
解题方法
1 . 已知数列
中,
且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca179b51a0cff1f81d951b508a77b3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5edade76c845f5e0e5a3aed8af3436.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2 . 已知等差数列
的公差
,前三项之和为9,
是
和
的等比中项
(1)求数列
的通项公式;
(2)已知数列
满足:
,
,是否存在实数p,q,使数列
是等比数列,若存在,求出p,q的值,并求数列
的前项和
;若不存在,请说明理由.
![](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/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9dc1a39eb6dc77f1f2daecc95ccbd77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcba622ae8d5e614f5f59982ce9b9b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc99c57020c70fc84d0e9af60bce2005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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3 . 等差数列
中,
,前
项和为
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343e81dce6166eb357411fa8dc4b9165.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/d6d5983c6659538f39a323e8c452a22d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-14更新
|
1001次组卷
|
3卷引用:吉林省长春市2024届向三第四次质量监测数学试卷
名校
4 . 已知等差数列
的首项
,公差
,在
中每相邻两项之间都插入
个数,使它们和原数列的数一起构成一个新的等差数列
,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb978d1708d9479d736bc45d45509b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
A.![]() | B.当![]() ![]() |
C.当![]() ![]() ![]() | D.若![]() ![]() ![]() |
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2024-05-02更新
|
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2卷引用:吉林省通化市梅河口市第五中学2024届高三下学期二模数学试题
名校
5 . 在等差数列
中,
,
.设
,记
为数列
的前n项和,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d29275f11876473e2e2d8ea769df23e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179319a983bda051c597ce8b0bcf8bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.5 | B.6 | C.7 | D.8 |
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2024-04-13更新
|
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9卷引用:吉林省部分名校(抚松县第一中学等)2023-2024学年高二下学期期中联考数学试卷
吉林省部分名校(抚松县第一中学等)2023-2024学年高二下学期期中联考数学试卷陕西省西安市部分学校2024届高三下学期高考模拟检测文科数学试卷(已下线)模块一专题1《数列基础、等差数列和等比数列》单元检测篇A基础卷(高二人教B版)(已下线)模块3 专题1 第1套 小题进阶提升练【高二人教B】(已下线)模块3 专题1 第4套 小题进阶提升练【高二人教B】(已下线)模块3 专题1 第3套 小题进阶提升练【高二人教B】(已下线)模块一 专题2《数列基础、等差数列和等比数列》单元检测篇A基础卷(高二北师大版)(已下线)北师大版高二模块三专题1第2套小题入门夯实练江西省吉安市第一中学2024届高三三模数学试题
名校
解题方法
6 . 已知
是数列
的前
项和,
,
是公差为1的等差数列.
(1)求数列
的通项公式;
(2)证明:
.
![](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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4419a4be874934e045c20b37a79d13.png)
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2024-03-25更新
|
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3卷引用:2024年东北三省高考模拟数学试题(二)
解题方法
7 . 已知等差数列
的前
项和为
,且
,
.
(1)求数列
的通项公式;
(2)若
,求
的最小值.
![](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/2ad0185595e39145fb338091f9be2855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48ca17ab9aab5c81e1d5460f11cfdcb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d718abcb4107be53e904ad6ff3e772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
8 . 已知
为等差数列
的前
项和,且
,
,则下列结论正确的是( )
![](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/738dc67ac3b150252a964d1ffe3dfa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2efe8e72665172f5117c530ac869e4b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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今日更新
|
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名校
解题方法
9 . 记
为数列
的前
项和.
(1)若
为等差数列,且
,求
的最小值;
(2)若
为等比数列,且
,求
的值.
![](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)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c7a5021ef9d55832129bf006195916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9343aecb886dda5602eab90663802de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56608a9e756bcea30d53b6c6136674da.png)
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|
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名校
解题方法
10 . 等差数列的前n项和为
,若
,
,则( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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|
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