名校
1 . 若数列
是等差数列,
,满足
,且
,则数列
的通项公式为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6574b44a3f8e46d987efd602f98ada93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cabe8a74ff165189787a700857acf64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ff57a2cd32a8a6beaa8dc62dac0536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2020-01-30更新
|
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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2017-2018学年高二上学期9月月考数学试题
名校
2 . 已知等比数列
的公比为
,它的前
项积为
,且满足
,
,
,给出以下四个命题:①
;②
;③
为
的最大值;④ 使
成立的最大的正整数
为4031;则其中正确命题的序号为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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/8141d87fb02b08c88b0c9f27f839a7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afceb7e30c39a68170e0a8283050c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e8696b37c79582b9c055cd972a65ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c938b8696465cf9b29646512c56874ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3f92878c2f19d2825a6b5d4f9d884e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae93e401b499b0e39f251279b5663c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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4卷引用:上海市六校2016届高三下学期3月综合素养调研(理)数学试题
名校
3 . 已知数列
中,
,
,
.
(1)证明数列
是等比数列,并求数列
的通项公式;
(2)在数列
中,是否存在连续三项成等差数列?若存在,求出所有符合条件的项;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/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bab423942f5e4d37c150ccfaf9f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7695d7b6905ff9d4cd9b063028cc092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2019-11-14更新
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4卷引用:上海市进才中学2023届高三上学期12月月考数学试题
2010·河南·一模
名校
4 . 已知函数
,数列
是公差为d的等差数列,
是公比为q
(
)的等比数列.若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68252fa8a25c267fc55cfcd1727998f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53607dee5af1a06667cd6232b0febcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978410a313354368684983fc03fbee67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cdfac4a41ea163108be83c2b63af66f.png)
(Ⅰ)求数列
,
的通项公式;
(Ⅱ)设数列
对任意自然数n均有
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1804c8cc2797e07d5a08f480ea0b69e7.png)
![](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/72930697ae9aec696e2925d2ea93b41c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68252fa8a25c267fc55cfcd1727998f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53607dee5af1a06667cd6232b0febcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978410a313354368684983fc03fbee67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cdfac4a41ea163108be83c2b63af66f.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅱ)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd11c351e601e800ee95e42bb8f43f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330a90b55ebb8314745409bb260e6407.png)
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真题
名校
5 . 根据预测,某地第![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
个月共享单车的投放量和损失量分别为
和
(单位:辆),
其中
,
,第
个月底的共享单车的保有量是前
个月的
累计投放量与累计损失量的差.
(1)求该地区第4个月底的共享单车的保有量;
(2)已知该地共享单车停放点第
个月底的单车容纳量
(单位:辆). 设在某月底,共享单车保有量达到最大,问该保有量是否超出了此时停放点的单车容纳量?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391bd47f0e344b04b4e68dd49820ad00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e14b28110234e5a8c2c358a3fa9685e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f70754be0f92f25ac6adb8de66aaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
累计投放量与累计损失量的差.
(1)求该地区第4个月底的共享单车的保有量;
(2)已知该地共享单车停放点第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc15640cf788f728e98518e73ef7b2a3.png)
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2018-03-28更新
|
3521次组卷
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25卷引用:上海市实验学校2022届高三下学期5月月考数学试题
上海市实验学校2022届高三下学期5月月考数学试题上海市实验学校2023届高三上学期11月月考数学试题2017年普通高等学校招生统一考试数学(上海卷)上海市进才中学2018-2019学年高三上学期期中数学试题上海市奉城高级中学2019届高三上学期期中数学试题江西省兴国县第三中学2021届高三上学期第一次月考数学(理)试题上海市第六十中学2022届高三上学期期中数学试题(已下线)重组卷04上海市南洋模范中学2024届高三上学期开学考试数学试题(已下线)专题6.5 数列的综合应用(讲)-浙江版《2020年高考一轮复习讲练测》(已下线)专题6.5 数列的综合应用(讲)【理】-《2020年高考一轮复习讲练测》(已下线)专题7.5 数列的综合应用(讲)-2021年新高考数学一轮复习讲练测(已下线)专题6.5 数列的综合应用(精讲)-2021届高考数学(理)一轮复习讲练测(已下线)专题08 数列的通项、求和及综合应用 第一篇 热点、难点突破篇(讲)-2021年高考数学二轮复习讲练测(浙江专用)(已下线)专题7.5 数列的综合应用(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)专题09 数列-五年(2017-2021)高考数学真题分项(新高考地区专用)北师大版(2019) 选修第二册 突围者 第一章 第二节 等差数列 课时3 等差数列的前n项和(2)(已下线)专题07 数列的通项与数列的求和(讲)--第一篇 热点、难点突破篇-《2022年高考数学二轮复习讲练测(新高考·全国卷)》(已下线)第10讲 数学归纳法与数列综合应用-2沪教版(2020) 选修第一册 高效课堂 册末练习(已下线)专题6.5 数列的综合问题(练)-江苏版《2020年高考一轮复习讲练测》江西省龙南中学2022-2023学年高二下学期期中数学试题(已下线)专题05 分类打靶函数应用与函数模型(练习)(已下线)专题21 数列解答题(文科)-3(已下线)专题21 数列解答题(理科)-4
14-15高二上·上海·阶段练习
6 . 已知三个数成等差数列,它们的和为15,如果它们分别加上1,3,9就成等比数列,求这三个数.
您最近一年使用:0次
名校
7 . 已知数列
中,
,
(
).
(1)求证:数列
是等差数列,并求数列
的通项公式;
(2)设
,
,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0ae8af1b4dfc31c317fcbe291d28b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be815a472dbc3112591a3c311750b1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452441c97433c6dee7d6a8dd4aaa7133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750aea058099d0375188bd5d68f27851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675fc45ae5daf51d723cbaa0f6bdb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9990cf5a3dd71396b4ca4dbe0a2774ec.png)
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2017-08-13更新
|
1224次组卷
|
4卷引用:上海市晋元高级中学2019-2020年高二上学期9月阶段反馈数学试题
8 . 已知数列
满足![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/a45b3781bb2c47ffaee6fd7ce9f1a28b.png)
(1)设
是公差为
的等差数列.当
时,求
的值;
(2)设
求正整数
使得一切
均有![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/1140e4a27a464392be74aaaa9274b674.png)
(3)设
当
时,求数列
的通项公式.
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/dfa0f9414ccd4f68b4eb5027024828cf.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/a45b3781bb2c47ffaee6fd7ce9f1a28b.png)
(1)设
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/e82efafd7d1449c9a4d3d11fddd4d99a.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/c1085bcc0bd74ef7b0073ed24cf01b04.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/6201dbdb6ce5493fbf728813f3105ab4.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/8032c35a4555485dbf357264f097eb6b.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/23d8e35a55e14431be6ac98961f6c237.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/44ce5aec71ae420e8218f9cc34b42a53.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/3a7586f2ab3147ddb518802b5c91974f.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/1140e4a27a464392be74aaaa9274b674.png)
(3)设
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/62691231266d4075b4de28883021ddec.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/6201dbdb6ce5493fbf728813f3105ab4.png)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572041501442048/1572041507430400/STEM/5e6f735911164bac933a260ec479baa3.png)
您最近一年使用:0次
10-11高三·浙江宁波·期末
9 . 在如图的表格中,每格填上一个数字后,使每一横行成等差数列,每一纵行成等比数列,所有公比相等,则
值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
6 | ||||
1 | 2 | |||
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10-11高三上·湖北黄冈·阶段练习
名校
10 . 在数列{an}中,对任意
,都有
(k为常数),则称{an}为“等差比数列”. 下面对“等差比数列”的判断: ①k不可能为0;②等差数列一定是等差比数列;③等比数列一定是等差比数列;④通项公式为
的数列一定是等差比数列,其中正确的判断为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0216bd96874d808cb18f6510f5f616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6008c5b00903d2dbd6f75cd3352f8d7.png)
A.①② | B.②③ | C.③④ | D.①④ |
您最近一年使用:0次
2016-11-30更新
|
1303次组卷
|
6卷引用:上海市复旦大学附中2018-2019学年高三下学期5月月考数学试题
上海市复旦大学附中2018-2019学年高三下学期5月月考数学试题(已下线)2011届湖北省黄冈中学高三10月月考理科数学试题(已下线)2011届湖北省黄冈中学高三10月月考文科数学试卷上海市复旦大学附属中学2018-2019学年高三下学期期末考试数学试题2019年上海市复旦附中高三5月模拟数学试题上海市七宝中学2022届高三冲刺模拟卷二数学试题