名校
解题方法
1 . 在等比数列
中,
,公比
,且
,又
与
的等比中项为2.
(1)求数列
的通项公式;
(2)若
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09570fdbf854fe6a1048d530e26ea9f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae99e050d0f1cfc0447304f06424d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03551d130c77ffedf8addca16c43f1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764296a62a7def78e39370f746b4663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ee9273cc82d57d99a21fb9c4953d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-01-05更新
|
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2卷引用:江苏省无锡市第一中学2023-2024学年高二上学期12月质量检测数学试卷
名校
解题方法
2 . 已知等差数列
满足
,
,其中
为
的前
项和,递增的等比数列
满足:
,且
,
,
成等差数列.
(1)求数列
、
的通项公式;
(2)
,
的前
项和为
,若
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a39465ec45244685df3810741fefc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64ab8bcd19f750efe8e73b1d7f5d5c2.png)
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa13e8419945b4974df328c27254c4e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca857b7a6a1fe09827ecaa5f4c036069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44700d5e9514b013bb000962799d7ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
3 . 设正项等比数列
的前
项和为
,若
,
,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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980e70385d1bb7434baecb83d2bb71a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf618d1b6a9a5d760b20dab1e1c7cb8.png)
A.9 | B.8 | C.7 | D.6 |
您最近一年使用:0次
2023-11-15更新
|
1262次组卷
|
4卷引用:江苏省无锡市第一中学2023-2024学年高二上学期12月质量检测数学试卷
4 . 数列
满足
,其前n项和为
,若
,则正整数m的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d960f378669021c40c2efacaf931841b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87c9d8dc544cd906171f6a54de509db.png)
您最近一年使用:0次
5 . 已知数列
满足
,
,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/02b0b6e1d022d284f7344a4d1822718c.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2023-05-30更新
|
1000次组卷
|
12卷引用:江苏省无锡市南菁高级中学2023-2024学年高二上学期9月调研考试数学试题
江苏省无锡市南菁高级中学2023-2024学年高二上学期9月调研考试数学试题河南省南阳市镇平县第一高级中学2022-2023学年高二下学期5月月考数学试题江西省湖口中学2022-2023学年高二下学期5月期中考试数学试题广东省汕头市育能实验学校2022-2023学年高二下学期期中数学试题江苏省南通市海安市实验中学2022-2023学年高二上学期1月月考数学试题甘肃省张掖市某重点校2023-2024学年高二上学期10月月考数学试题福建省漳州市华安县第一中学2023-2024学年高二上学期第一次(10月)月考数学试题(已下线)专题05 数列在高中数学其他模块的应用(九大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)1.3.3 等比数列的前n项和公式(同步练习基础版)湖南省岳阳市平江县颐华高级中学2023-2024学年高二下学期入学考试数学试题湖北省部分高中联考协作体2023-2024学年高二下学期期中考试数学试卷广东省佛山市南海区南执高级中学2023-2024学年高一下学期第一阶段测数学试题
6 . 已知数列
是以
为首项,
为公差的等差数列;
是以
为首项,
为公比的等比数列,设
,
,则下列结论正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000f01319364c59dee948848fc4de4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39fe4fa6a03e969e339f9c1812ef633.png)
A.![]() | B.![]() |
C.![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
2022-01-23更新
|
293次组卷
|
2卷引用:江苏省无锡市南菁高级中学2023-2024学年高二上学期10月月考数学试题
名校
解题方法
7 . 已知等比数列
的各项均为正数,公比
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45482d31d1d7448c9f3922b4d2a55331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29b550a4488a1728ab591767a752224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.12 | B.15 | C.18 | D.21 |
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2021-09-21更新
|
236次组卷
|
4卷引用:江苏省无锡市南菁高级中学2023-2024学年高二上学期9月调研考试数学试题
江苏省无锡市南菁高级中学2023-2024学年高二上学期9月调研考试数学试题江西省丰城中学2023-2024学年高二(创新班)上学期第一次10月段考数学试题苏教版(2019) 选修第一册 突围者 第4章 第三节 课时1 等比数列的概念、等比数列的通项公式(已下线) 5.3.1 等比数列(学案)-2020-2021学年高中数学同步备课学案(2019人教B版选择性必修第三册)