名校
1 . 已知数列
是等比数列,其前
项和为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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2020-02-12更新
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207次组卷
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2卷引用:2017届上海市杨浦区高三5月模拟考试数学试题
解题方法
2 . 已知
,则使不等式
成立的n的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee233e6278bafd1827f08a2e147c0e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4425491e5267638f5bf6a899eca0dfb.png)
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3 . 对于正整数
,设
,如
,对于正整数
,当
时,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0282d82244cedc5af367e10e6f7bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d1ac525f5b8b3845eac4bd66c121ca.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814c946722fed7ef2d1f956469e40a92.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054a6c89e3cdb61d810f277c808995af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bda188077936e0629aca2bcc86790ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fda11f235233abc0bcef86d75f52581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe18ddd1d99ac7f0a2224bb7c42b8ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0282d82244cedc5af367e10e6f7bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d1ac525f5b8b3845eac4bd66c121ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b84971719229c85609a446f4904c8c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814c946722fed7ef2d1f956469e40a92.png)
您最近一年使用:0次
名校
解题方法
4 . 数列
前n项的和为
,且
,
,
;
(1)求数列的通项公式;
(2)求
的值;
![](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/32897d1edf2e70afbe36d2b61bf3c83e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bce6187f3f11e0ceead8a645f5f9d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求数列的通项公式;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ca2805cdf461114216a882ee64d2d1.png)
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5 . 设无穷等比数列
的公比
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e2727c0faee8a602bfd908b4607dfc.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bfb71a22c80ad4ba91d9f229e1349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c14f9e7a9f2db11cffc3a49224c1f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e2727c0faee8a602bfd908b4607dfc.png)
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2020-02-09更新
|
77次组卷
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2卷引用:上海市上海中学2017届高三上学期10月月考数学试题
6 . 已知数列
和
满足:
,
,
且对一切
,均有
.
(1)求证:数列
为等差数列,并求数列
的通项公式;
(2)求数列
的前
项和
;
(3)设
,记数列
的前
项和为
,求正整数
,使得对任意
,均有
.
![](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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f973a01dd179e35c44419b907e3b846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1a42b7311bd0bcb77ab7b9c8141953.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf3da897eb73b729f66bb0d700775c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437c2ccc25da4e1fe9836d536c16929f.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74009cc39069fde6e6e6d99c78665c60.png)
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2020-02-09更新
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457次组卷
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3卷引用:2016届上海市杨浦区高三4月质量调研(二模)(文)数学试题
解题方法
7 . 若等比数列
的前
项和为
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8d9ff82ab59e62f9ac36298f58ab39.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/aeb9b1e2f2ed752b5a262f09e7d2ab82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8d9ff82ab59e62f9ac36298f58ab39.png)
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2020-02-07更新
|
136次组卷
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2卷引用:上海市理工附中等七校2016届高三下学期3月联考(文)数学试题
8 . 为了加强环保建设,提高社会效益和经济效益,某市计划用若干年时间更换一万辆燃油型公交车.每更换一辆新车,则淘汰一辆旧车,更换的新车为电力型车和混合动力型车.今年初投入了电力型公交车120辆,混合动力型公交车300辆,计划以后电力型车每年的投入量比上一年增加
,混合动力型车每年比上一年多投入
辆.设
,
分别为第
年投入的电力型公交车,混合动力型公交车的数量,设
,
分别为
年里投入的电力型公交车,混合动力型公交车的总数量.
(1)求
,
,并求
年里投入的所有新公交车的总数
;
(2)该市计划用8年的时间完成全部更换,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc00118b6316f277160328cf6a27a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9da2b0e7b9eca965043be2f38a91f1.png)
(2)该市计划用8年的时间完成全部更换,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-02-05更新
|
184次组卷
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2卷引用:上海市嘉定二中2020-2021学年高二上学期第一次质量检测数学试题
9 . 数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76b369ac91df407483043fe1eb122e4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9dfb7d4ce395cf2fe86aebf9728a646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2653246da33ec5be47f3c3a6f783a247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76b369ac91df407483043fe1eb122e4.png)
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2020-02-05更新
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219次组卷
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3卷引用:上海市上海外国语大学附属外国语学校2016届高三上学期期中数学试题
上海市上海外国语大学附属外国语学校2016届高三上学期期中数学试题上海交通大学附属中学2021-2022学年高一下学期5月线上月考数学试题(已下线)4.5 用迭代序列求√2的近似值(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件(沪教版2020选择性必修第一册)
10 . 已知等比数列
的前
项和为
,若
成等差数列,且
,若
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/25d684f34307f6005ff4f8451e56bb20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a47d65e23b4977b3ea071f8052e1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86893b1e4a61e4f4d677bc217249f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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