1 . 已知函数y=f(x)的定义域为R,当x<0时,f(x)>1,且对任意的实数x,y,等式f(x)f(y)=f(x+y)恒成立.若数列
满足
=f(0),且f(
)=
(
),则
的值为
![](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/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa835241a4edf14c63b9ca236770791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475fdc2128fcc98e4bfe451fd1f49120.png)
A.2209 | B.3029 | C.4033 | D.2249 |
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2019-04-24更新
|
622次组卷
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3卷引用:【校级联考】湖南省醴陵二中、醴陵四中2018-2019学年高二下学期期中联考数学(理)试题
2 . 在数列
中,
,数列
是以
为公比的等比数列,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d618bae4e5230b64357093996f427d2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,将一个边长为1的正三角形的每条边三等分,以中间一段为边向外作正三角形,并擦去中间一段,得图(2),如此继续下去,得图(3)…,设第
个图形的边长为
,则数列
的通项公式为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/344ed287-5fbd-4945-9a42-14beb3edbd70.png?resizew=333)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/344ed287-5fbd-4945-9a42-14beb3edbd70.png?resizew=333)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-04-28更新
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680次组卷
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5卷引用:湖南省益阳市六校2022-2023学年高二上学期期末联考数学试题
名校
4 . 已知数列
是公比为
的等比数列,且
,若数列
是递增数列,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213e22890204937a5dded4436369390f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-14更新
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357次组卷
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3卷引用:2019届湖南省长沙市雅礼中学高三下学期5月高考适应性考试理科数学试题
名校
解题方法
5 . 设数列
是首项为1,公比为
(
)的等比数列,若
是等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354efd9145bb3bd889cf0eaadbcc55f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedee4a77cf7c0d878bae8acb429004b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5d0184e8ccf89acfa8924b5251c7d1.png)
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13-14高一下·山西大同·期末
名校
6 . 公比不为1的等比数列
的前
项和为
,且
成等差数列,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.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/0751dd62c709c6270d419511e911df76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
A.![]() | B.0 | C.7 | D.40 |
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2017-09-14更新
|
1027次组卷
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7卷引用:湖南省长沙市长郡中学2016-2017学年高一下学期期末考试数学试题
7 . 在数列
中,已知
,
,则其通项公式为
( )
![](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/3998df04d0a8ded946c3f39d545fdc7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-12-31更新
|
297次组卷
|
3卷引用:湖南省株洲市2019-2020学年高二上学期期中数学(文)试题
2020高三·全国·专题练习
解题方法
8 . 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
,
,则当
时,
的最小值是( )
![](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/32766a7533d372de11b7b842c908934a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c154694fa33277f937f7456d299480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.9 | B.10 |
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2020-05-09更新
|
188次组卷
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3卷引用:湖南省衡阳师范学院祁东附属中学2019-2020学年高二上学期期中数学试题
湖南省衡阳师范学院祁东附属中学2019-2020学年高二上学期期中数学试题(已下线)狂刷26 数列的综合应用-学易试题君之小题狂刷2020年高考数学(理)甘肃省张掖市2020-2021学年高二上学期期末数学(理)试题
9 . 中国古代数学著作《算法统宗》中有这样一个问题;“三百七十八里关,初行健步不为难,次后脚痛递减半,六朝才得到其关,要见每朝行里数,请公仔细算相还.”其意思为:“有一个人走了378里路,第一天健步走行,从第二天起脚痛每天走的路程是前一天的一半,走了6天后到达目的地,求该人每天走的路程.”由这个描述请算出这人第四天走的路程为( )
A.6里 | B.12里 | C.24里 | D.48里 |
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2020-05-06更新
|
152次组卷
|
2卷引用:2018届湖南省怀化市高三第三次模拟数学(文)试题
解题方法
10 . 已知数列
,
满足:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/806088a8fbd5f43f568d64dc622e037c.png)
,
若
是首项为1,公比为2的等比数列,则数列
的通项公式是
![](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/806088a8fbd5f43f568d64dc622e037c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff7ada5544c27fd82f7596a5c26faf6.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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