1 . 已知数列
满足递推公式
.设
为数列
的前
项和,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
__________ ,
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be0467c8fa902d267e096fd006cf262.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/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93575eb548db0824ebc67b2fe58e08b.png)
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2020-07-18更新
|
382次组卷
|
6卷引用:重庆市外国语学校2019-2020学年高一下学期期末数学试题
重庆市外国语学校2019-2020学年高一下学期期末数学试题(已下线)专题7.3 等比数列及其前n项和(精讲)-2021年新高考数学一轮复习学与练(已下线)理科数学-2021年高考押题预测卷(新课标Ⅰ卷)02(已下线)专题7.3 等比数列及其前n项和(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)押全国卷(理科)第5,9题 数列-备战2022年高考数学(理)临考题号押题(全国卷)(已下线)微考点4-2 新高考新试卷结构数列的通项公式的9种题型总结
名校
解题方法
2 . 等比数列
中,
,其中公比
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b110e6de53128dd52a374c266cfa767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71acdb04454c77e1e25ad4f336cccfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
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3 . 已知数列
满足
,
,令
,则数列
的前2020项的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d238a52feae87b0778ba324dc144d50.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57bfc1f8772f31748bfdc280d0712fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd16ef2b22b78bb7623ff2fb80f4246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da72309d2507e2f5e5ed88d8cc08963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d238a52feae87b0778ba324dc144d50.png)
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4 . 已知等比数列
为单调递增数列,设其前
项和为
,若
,
,则
的值为______ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdc17b603871d20843ffccca2df0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
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2020-05-31更新
|
332次组卷
|
6卷引用:重庆市南岸区2019-2020学年高一下入学数学模拟试题
重庆市南岸区2019-2020学年高一下入学数学模拟试题【市级联考】江苏省盐城市、南京市2019届高三年级第一次模拟考试数学试题(已下线)专题13 等差、等比数列的应用-《巅峰冲刺2020年高考之二轮专项提升》(江苏)2020届江苏省苏州市外国语学校高三上学期12月月考数学试题2019届江苏省南京市、盐城市高三第一次模拟数学试题(已下线)专题10 等比数列-2020年高考数学(文)母题题源解密(全国Ⅰ专版)
名校
解题方法
5 . 在数列
中,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb32bc3d2068664bbdd4b7cdb703b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
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名校
解题方法
6 . 定义在
上的函数
,如果对于任意给定的等比数列
,
仍是等比数列,则
称为“保等比数列函数”.现有定义在
上的如下函数:①
;②
;③
;④
.
则其中是“保等比数列函数”的
的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862df674d5668eb2c8d67c889866463f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f37c589447bba4e81b0fa9b7cd15e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862df674d5668eb2c8d67c889866463f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c4adef3485e8ac6e50d1926365327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cedc46e0aae66dd418192098b4b8672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c940ddf1c3651ab8359501c6de5a5e.png)
则其中是“保等比数列函数”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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7 . 设等比数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1babe8e4b10735db5f3c181b51f725d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
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2020-02-21更新
|
602次组卷
|
3卷引用:重庆市巴蜀中学2019-2020学年高一下学期期末数学试题
名校
解题方法
8 . 已知等比数列
满足
,且
成等差数列,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7500da89e456b8eda226c9df88fbbbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d607892ac46b4f3b12e8572f06ca4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc9439c4c1b7adbf0048125f6ca1be.png)
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2020-01-18更新
|
706次组卷
|
5卷引用:重庆市外国语学校2019-2020学年高一下学期期中数学试题
重庆市外国语学校2019-2020学年高一下学期期中数学试题江苏省无锡市2018届高三第一学期期末检测数学试卷(已下线)专题14 数列的综合应用-《巅峰冲刺2020年高考之二轮专项提升》(江苏)内蒙古集宁一中(西校区)2019-2020学年高二上学期期中数学(理)试题四川省宜宾市叙州区第一中学校2024届高三下学期开学考试数学(理)试题
9 . 已知数列
的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
,设
,
,且
,则
的通项公式是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8930099c42933f19d18446c471738a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2cc91ddc80fb0b60e9ef39186331c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730c0fdb43b763a9baa8d6c3f1f552a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401078c16ea92130b47f728bea699c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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10 . 无穷数列
中,
,
,
,
是首项为10,公差为-2的等差数列;
是首项为
,公比为
的等比数列(其中
并且对于任意的
,都有
成立.若
,则
的取值集合为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142876945177d2d9621b6842e3d51f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e406c0d3101378f5c115e7332dc22ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8799da500b4ade29430fa540fbcd19dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c453d55bd2873e4469273132c421e7b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6193e3696bd8865372a911ddff3b88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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