名校
解题方法
1 . 已知正项等比数列
的前n项和为
,若
,且
与
的等差中项为
,则
( )
![](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/5678e0ec5f45bd0a1780f390fed1d8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
A.29 | B.31 | C.33 | D.36 |
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4卷引用:河南省济洛平许2024届高三第三次质量检测数学试题
2 . 已知等比数列
的首项为
,公比
为整数,且
.
(1)求
的通项公式;
(2)设数列
的前
项和为
,比较
与
的大小关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f928a3a4109ab14665089b08fb6336.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1840dc778e163b44cb646e5c497f46.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
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名校
3 . 已知
为等差数列,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5d2068f5409631bc6c122a847ce6c2.png)
为等比数列,满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5d2068f5409631bc6c122a847ce6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803a17f206ec20e9fc5266aaebe7c21f.png)
A.数列![]() | B.![]() |
C.![]() | D.数列![]() ![]() |
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5卷引用:广东省珠海高新区青鸟北附实验学校2023-2024学年高二上学期第一次月考数学试题
4 . 已知等比数列
的前n项和为
,且满足
,
.
(1)求数列
的通项公式;
(2)设
,求数列
的前n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/4566b9e24bcc3b61d5e51a6dec3e81c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f226970eff8c57510453783dc848e4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1845d8e9d6feebb5540be38f2aa9cbd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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4卷引用:广东省中山市中山纪念中学2024届高三上学期第三次模拟测试数学试题
广东省中山市中山纪念中学2024届高三上学期第三次模拟测试数学试题浙江省温州市2024届高三上学期期末考试数学试题(已下线)第二套 艺体生新高考新结构全真模拟2(已下线)上海市高二数学下学期期末模拟试卷03--高二期末考点大串讲(沪教版2020选修)
解题方法
5 . 已知公比不为1的等比数列
满足
,且
是等差数列
的前三项.
(1)求
的通项公式;
(2)求数列
的前
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/239e5d8c04dc3abd5e54f4caf2cbd0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66f5fba963e0530102ca629344b7ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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河南省濮阳市2023-2024学年高二上学期期末考试数学试题河南省部分名校2023-2024学年高二上学期1月期末考试数学试题河南省周口市沈丘县第三高级中学2023-2024学年高二上学期期末数学试题(已下线)第一章 数列(单元基础检测卷)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)1.3.1 等比数列7种常见考法归类(3)(已下线)专题5-3数列求和及综合大题归类-1安徽省六安市田家炳实验中学2023-2024学年高二下学期开学测试数学试题
6 . 已知
是公比为2的等比数列,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e30b0c729932cf59d6df44d03a9b766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.100 | B.80 | C.50 | D.40 |
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7 . 已知数列
是递增的等差数列,数列
是等比数列,且
,
、
、
成等比数列,
,
,
(1)求数列
和
的通项公式
(2)若
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978e2f7118d2bd305086ae03cc7dd683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614206299653e4111ac285f5375e34c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0414c0b6fda7fee5eb71976e09da80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364f8ccb16e0dd0873291c9f351d6ffb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bd4dc948fe7c73fd953adb824797f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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8 . 各项均为正数的等比数列
中,
,
.
(1)求
的通项公式;
(2)记
为
的前
项和,若
,求
.
![](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/471584358a4c23a08378b2d8fa02c8c4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](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/3ec4b7b7290280f82e7164e470c2a2f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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23-24高三上·江苏无锡·期末
名校
9 . 已知
是等比数列
的前
项和,且存在
,使得
,
,
成等差数列.若对于任意的
,满足
,则
( )
![](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/0e10f2f74e201f77f853e9ed9078615c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efae6cebf24728262ccd2df91904815d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a513f8cc64f278806fcb499eaecffe75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c53bad902a73c424ee86ec79e70d597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5dd1562138ab60802c33a17a8d7867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b037b3859f782968749df8b6e98a29c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965381fc563f7ef52dea9fc2d2e0ee06.png)
A.![]() | B.![]() | C.32 | D.16 |
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10 . 在等比数列
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47de53460dd0f7074276c830c07e5938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.![]() | B.![]() | C.16 | D.8 |
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