名校
解题方法
1 . 在等比数列
中,
,
,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/157fc73999f07d08e7814c83f8aa4783.png)
A.![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() |
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2024-03-07更新
|
984次组卷
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7卷引用:山东省青岛市2023-2024学年高二上学期期末学业水平检测数学试题
山东省青岛市2023-2024学年高二上学期期末学业水平检测数学试题江西省南昌市江西师大附中2023-2024学年高二下学期3月月考数学试题广东省佛山市顺德市李兆基中学2023-2024学年高二下学期3月月考数学试题江西省九江市第一中学2023-2024学年高二下学期4月月考数学试题广东省惠州市三校2023-2024学年高二下学期4月联考数学试题山西省太原市成成中学校2023-2024学年高二下学期4月月考数学试题(已下线)专题04数列求和的6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)
2 . 在等比数列
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81119284120900711f05f62cbfc22c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
A.4 | B.![]() | C.8 | D.5 |
您最近一年使用:0次
名校
解题方法
3 . 设等比数列
的前
项和为
,且
(
为常数),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/207122b4594b80a670136d5194f74ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-04更新
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1148次组卷
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4卷引用:山东省淄博市临淄中学2023-2024学年高二下学期4月阶段检测数学试题
4 . 已知
为等差数列,公差
中的部分项
恰为等比数列,且公比为
,若
;
(1)求
;
(2)求数列
的通项公式及其前
项之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c735c0e81a29cd3ec7d96d1e895c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754754790a38ee887936643a880165f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd7d8dd0ad47b893f16c3df9f961212.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089371cf5f29c549977e2f4b8dd8b8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
5 . 已知等比数列
中,
,
,
,
成等差数列.
(1)求
的通项公式;
(2)令
,求数列
的前n项和
.
![](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/8a8553a873958eb9d14c89c59ab5c317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86e2e42b4aa93db9241103e7f61766c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1bdd41649884dbf073821e9b7f3a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
6 . 设数列
,其前n项和为
,
,
为单调递增的等比数列,
,
.
(1)求数列
,
的通项公式;
(2)记
为
在区间
中的项的个数,求数列
的前100项和
.
![](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/724e13f19cd7ef148a68f88bcfcb1d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c1cf431202a1b63d247fbcece7e329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff332f51a832b567756c95b24f70a6d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829442c6473c94fde041595bc18530d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bbbefd3078eeb6dad2f8e2019c58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ab8dbdcb039662a5bdbb9070c10a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00136ab4fd69ba9c28b47cd38442dc3a.png)
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7 . 已知等比数列
的各项均为正数,且
.
(1)求
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2328fdede0ff6ff183b52767eceb9cc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0f044dc82a12fd1c71872f2ac12d06.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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名校
解题方法
8 . 已知等比数列
的前
项和为
且
成等差数列,则
为( )
![](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/ccc9c502eb981a5c27a0c1587d326ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944a9c2574548d3305c0d55a58206f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62fd9b1be297073da679c66e2c43152.png)
A.244 | B.243 | C.242 | D.241 |
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2024-02-18更新
|
1177次组卷
|
7卷引用:山东省菏泽市2023-2024学年高二上学期期末教学质量检测数学试题
解题方法
9 . 已知数列
满足
,若
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7abb82ff6aed22a0d3540cac0a0ca80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403bb9d9af735c6aae7643d473668d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.4 | B.3 | C.![]() | D.2 |
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名校
解题方法
10 . 设数列
的前
项和为
的前
项和为
,满足
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd9f99977e73bc8281fc94e4e251123.png)
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/791f5f5a4ae7cd3fbb1281572f1d1c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b32a82b80a4b580709de9a3fcfd441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd9f99977e73bc8281fc94e4e251123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47bce9cfa2c216679e58474ea36f060.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2139de9906c989800ed1e941ac738c.png)
A.![]() | B.![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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2024-02-17更新
|
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4卷引用:山东省临沂市2023-2024学年高二上学期期末学科素养水平监测数学试题