名校
1 . 设等比数列
的公比为
,其前
项之积为
,并且满足条件:
,
,
,给出下列结论:①
;②
;③
是数列
中的最大项;④使
成立的最大自然数等于4031;其中正确结论的序号为______ .
![](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/1c0fd8c68054203a659c797f45ed4032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b5524cf67617d7a9d8db51fdca51aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f9bf59963891a01f5558bef0e23720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b0438e080c9c7ffaa506bb0c1c1a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eded65284816fdf6bf335b0c2a78e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae93e401b499b0e39f251279b5663c.png)
您最近一年使用:0次
名校
2 . 设等比数列
的公比为
,其前
项之积为
,并且满足条件:
,
,
,给出下列结论:①
;②
;③
是数列
中的最大项;④使
成立的最大自然数等于4039;其中正确结论的序号为( )
![](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/105b7c252d779a588da78a0ca85033f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440a4d70a2a8ca0a2bf1c921f5cb746b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59eb9fe0e83d23d85c9c0b44b442f785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1adb2d553c2fa56337284d5c62adccba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eded65284816fdf6bf335b0c2a78e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae93e401b499b0e39f251279b5663c.png)
A.①② | B.①③ | C.①③④ | D.①②③④ |
您最近一年使用:0次
2020-02-29更新
|
2158次组卷
|
15卷引用:2020届上海市青浦区高三一模(期末)数学试题
2020届上海市青浦区高三一模(期末)数学试题上海市格致中学2020-2021学年高二上学期期中数学试题上海市上海交通大学附属中学2019-2020学年高一下学期期中数学试题(已下线)4.2 等比数列(第1课时)(十大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)第22练 等比数列-2021年高考数学(文)一轮复习小题必刷(已下线)第23练 等比数列-2021年高考数学(理)一轮复习小题必刷(已下线)秘籍07 数列-备战2022年高考数学抢分秘籍(新高考专用)北京市第二中学2021-2022学年高二6月阶段落实测试数学试题(已下线)专题25 等比数列及其前n项和-3(已下线)专题8 等比数列的单调性 微点2 等比数列单调性综合训练(已下线)第03讲 等比数列及其前n项和(九大题型)(讲义)-3(已下线)专题5-1 等差等比性质综合-1(已下线)专题6.2 等比数列及其前n项和【十大题型】(已下线)专题4.3 等比数列(5个考点八大题型)(2)(已下线)专题04 等比数列(十六大题型+过关检测专训)(2)
名校
3 . 已知等差数列
满足:
,从
中依次取出
构成等比数列
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc4ae88d21627363c2bb68db487d3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365696de7e080f61972c3395752776df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df080422b624f499ed6b5d30f7743e0d.png)
.
(1)求数列
、
的通项公式;
(2)若对于任意
,
恒成立,求实数M的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac5a5a71056c2c26ec31e7a7a0f1ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254b87184d8643fd368468cab70b9c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc4ae88d21627363c2bb68db487d3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365696de7e080f61972c3395752776df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df080422b624f499ed6b5d30f7743e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefbeb5ad23b937db910598099ea44c0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272b44a71d0bec02b3c4f3f05304f942.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38b6286e5f74b604b9fb639c55d611f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3e15195dbfa0ac1e968d2663bbc34b.png)
您最近一年使用:0次
2020-03-29更新
|
285次组卷
|
5卷引用:江苏省苏州市实验中学2019-2020学年高二上学期阶段性调研(二)数学试题
江苏省苏州市实验中学2019-2020学年高二上学期阶段性调研(二)数学试题(已下线)4.2 等比数列(第2课时)(六大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)4.3.2.2 等比数列的前n项和的性质及应用(练习)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第二册)(已下线)专题8 等比数列的单调性 微点2 等比数列单调性综合训练(已下线)专题4.3 等比数列(5个考点八大题型)(2)
名校
4 . 等比数列
的前
项积为
,并且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7450f583d814558a69a256222d39440c.png)
,现给出下列结论:①
②
;③
是
中的最大值;④使
成立的最大自然数
是2019,期中正确的结论个数是( )
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7450f583d814558a69a256222d39440c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29896e260b08b42e5bbba68fdb6e17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cd104e206fd2c3c8ec883f5e71c10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5c818f947346efdfb7bf7a8de0b6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229f7ddd12d9f8e5cda2f15ef3660f7d.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)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2020-03-02更新
|
587次组卷
|
3卷引用:上海市上海外国语大学附属上外高中2019-2020学年高二上学期期中数学试题
名校
5 . 设等比数列
的公比为
,其前
项的积为
,并且满足条件
,
,
.给出下列结论:
①
;
②
;
③
的值是
中最大的;
④使
成立的最大自然数
等于198
其中正确的结论是( )
![](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/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/4c31e51862560624b26e3335883feea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e910dce77c2936b9a6b11b9aacd8e44.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0c300355fe5ae11395163a3c4b8d70.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00136ab4fd69ba9c28b47cd38442dc3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
④使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae93e401b499b0e39f251279b5663c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
其中正确的结论是( )
A.①③ | B.①④ | C.②③ | D.②④ |
您最近一年使用:0次
2020-01-31更新
|
931次组卷
|
12卷引用:上海市奉贤中学2018-2019学年高一下学期期末数学试题
上海市奉贤中学2018-2019学年高一下学期期末数学试题上海市向明中学2018-2019学年高二上学期开学考试数学试题上海市十三校2016届高三上学期12月联考数学试题上海市南洋模范中学2018-2019学年高一下学期期末数学试题江西省南昌县莲塘第一中学2019-2020学年高一5月复学考试数学(文)试题江西省南昌县莲塘第一中学2019-2020学年高一5月复学考试数学(理)试题宁夏回族自治区银川一中2019-2020学年高一下学期期末考试数学试题(已下线)第02章章末复习课-2020-2021学年高二数学课时同步练(人教A版必修5)(已下线)第04章 章末复习课-2020-2021学年高二数学课时同步练(人教A版选择性必修第二册)(已下线)4.3 等比数列(精讲)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)(已下线)专题03 等比数列及前n项和(专题测试)-2020-2021学年高二数学重难点手册(数列篇,人教A版2019选择性必修第二册)宁夏中卫市中宁县第一中学2022-2023学年高二上学期10月月考数学试题
名校
6 . 已知公差
的等差数列
的前
项和为
,且满足
,
.
(1)求数列
的通项公式;
(2)求证:
是数列
中的项;
(3)若正整数
满足如下条件:存在正整数
,使得数列
,
,
为递增的等比数列,求
的值所构成的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.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/e1d61fe1a71a6ad5db1172765f51db0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80735b4ccb365831ac19a2ad06d3973.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f430a3281e43531c4bf554599313eae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
7 . 任意实数a,b,定义
,设函数
,数列
是公比大于0的等比数列,且
,则
=___ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370f7425d059487bd3c49ce1818dfaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ba87c8ac7ac9c1b718dd015839376a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728cbca6d13b44bdbc5570cb21ee814d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
8 . 设数列
的前
项和为
,已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f43bd2958ff6ac134b06501e5743f4.png)
(1)设
证明数列
是等比数列;
(2)求数列
的通项公式;
(3)若对于一切
,都是
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f43bd2958ff6ac134b06501e5743f4.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35334108a992e39680b5aa673d4ccafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)若对于一切
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb71aacea5a3e019c3d081428834f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 已知
是递增的等比数列,且
,那么首项
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a800629ef14277571f91a46c1dbc05d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
2020-02-09更新
|
448次组卷
|
4卷引用:2016届上海市嘉定区高三第三次模拟练习(理)数学试题
2016届上海市嘉定区高三第三次模拟练习(理)数学试题2016届上海市嘉定区高三第三次模拟练习(文)数学试题2016届上海市嘉定区高考三模(文科)数学试题(已下线)专题8 等比数列的单调性 微点1 判断等比数列单调性的方法
10 . 已知等差数列
的通项公式为
,且
分别是等比数列
的第二项和第三项,设数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
,
的前
项和为
.
(1)求数列
的通项公式;
(2)是否存在
,使得
,并说明理由
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478f031511d7801f977850f8ab73a747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd8e16b5cce392a12326fa2f3ee9acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d90dc9b1ae59c91973a5e45bce7bfa.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/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0c73a1455fc61a2239cb62de1f3c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c491760003a7c1ff4e37b1204a399e4d.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3f1f8813adcedd56b471961b2ad6a6.png)
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