2022高三·全国·专题练习
1 . 数列
满足:
.若数列
单调递减,则c的取值范围是________ ;若数列
单调递增,则c的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fd0e52378906df5a130995de693ad9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
2 . 已知公比为
的正项等比数列
,其首项
,前
项和为
,前
项积为
,且函数
在点
处切线斜率为1,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d87fb02b08c88b0c9f27f839a7d9.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1120b438f4e8ffbb8f5469053d7feafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
A.数列![]() | B.数列![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
2022-11-05更新
|
764次组卷
|
4卷引用:河北省保定市2023届高三上学期摸底数学试题
河北省保定市2023届高三上学期摸底数学试题(已下线)模块二 数列 不等式-3第1 章 导数及其应用章检测试卷 (提高篇)(已下线)广东实验中学2024届高三上学期第一次阶段考试数学试题变式题11-14
3 . 已知数列
中,
,数列
满足:
.
(1)求证:数列
是等差数列,并求数列
的通项公式;
(2)求
的值;
(3)求数列
中的最大项和最小项,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61054cd9251ae9646d3dcbcf41efa28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19aec23982fb581ab92aa0dc4e254cad.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185e26413d7faabfaf59114fe16c7b80.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
解题方法
4 . 在等差数列
中,
,
,则数列
的通项公式为______ .记数列
的前
项和为
,若
得对
恒成立,则正整数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29b6d31d8d6e75388ae4304fce5258d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.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/80b1e5dadd5fbd5752060bbfde686d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
5 . 已知数列
满足:
,且数列
是单调递增数列,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf616a5756a9d706b02192229d574cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2022-08-22更新
|
944次组卷
|
5卷引用:北京师范大学第二附属中学2023届高三上学期8月返校检测数学试题
北京师范大学第二附属中学2023届高三上学期8月返校检测数学试题(已下线)专题3 等比数列基本量运算(提升版)1.3.2 等比数列与指数函数(同步练习提高版)黑龙江省哈尔滨市第三中学2022-2023学年高二下学期第一次验收考试数学试题(已下线)专题1 数列的单调性与最值(范围)问题【讲】(高二期末压轴专项)
名校
解题方法
6 . 已知数列
满足
,数列
的前
项和为
,则下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac5b24acb87be5e46d42c52a911ed02.png)
![](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.![]() |
B.数列![]() ![]() |
C.数列![]() |
D.![]() |
您最近一年使用:0次
2022-08-22更新
|
2274次组卷
|
8卷引用:北京师范大学第二附属中学2023届高三上学期8月返校检测数学试题
北京师范大学第二附属中学2023届高三上学期8月返校检测数学试题(已下线)第04讲 数列求和(练)福建省福州第十五中学2023届高三10月月考数学试题1.3.3 等比数列的前n项和公式(同步练习基础版)(已下线)三省三校2022届高三下学期第一次模拟数学(理)试题变式题6-10内蒙古通辽市重点校2022-2023学年高二下学期适应性考试数学(理)试题上海市新中高级中学2023-2024学年高二上学期期中数学试题(已下线)专题04 数列(6)
名校
7 . 设
,若无穷数列
满足以下性质,则称
为
数列:①
,(
且
).②
的最大值为k.
(1)若数列
为公比为q的等比数列,求q的取值范围,使得
为
数列.
(2)若
数列
满足:
,使得
成等差数列,
①数列
是否可能为等比数列?并说明理由;
②记数列
满足
,数列
满足
,且
,判断
与
的单调性,并求出
时,n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94555857a26590865f337f8c4a93c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3bcb79f2d16d369d4a6e32da7eca6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a0380833a2210fe0a279413e70eedb.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94555857a26590865f337f8c4a93c37.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94555857a26590865f337f8c4a93c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde2576b383ae3c851529435805b3adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33296d69857230998bd8152f2457d1.png)
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4188680e5320653753ad0340439cb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da321100bc025f1099f6a544ad0850a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ade3a1d01605706801e238726e55fb.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/f86dcea6d6efedf628ada9322f13590a.png)
您最近一年使用:0次
2022-07-25更新
|
704次组卷
|
4卷引用:江苏省盐城中学2022届高三下学期5月仿真模拟数学试题
江苏省盐城中学2022届高三下学期5月仿真模拟数学试题第4章 数列(B卷·能力提升练)-【单元测试】2022-2023学年高二数学分层训练AB卷(苏教版2019选择性必修第一册)(已下线)第4章 数列 单元综合检测-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)(已下线)第4章 数列 单元综合检测(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)
名校
解题方法
8 . 对于数列
,若从第二项起,每一项与它的前一项之差都大于或等于(小于或等于)同一个常数d,则
叫做类等差数列,
叫做类等差数列的首项,d叫做类等差数列的类公差.
(1)若类等差数列
满足
,请类比等差数列的通项公式,写出数列
的通项不等式(不必证明);
(2)若数列
中,
,
.
①判断数列
是否为类等差数列,若是,请证明,若不是,请说明理由;
②记数列
的前n项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
(1)若类等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8b1261de54b824c12b6887053416c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0566ce71a91f5939b92eb8d59e8ec5.png)
①判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
②记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c806dc9bf2cad0cb20220d23bd252a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29858a858c8ec1e1c65db718400a4a95.png)
您最近一年使用:0次
2022-07-17更新
|
774次组卷
|
6卷引用:四川省成都市双流区2021-2022学年高一下学期期末数学试题
四川省成都市双流区2021-2022学年高一下学期期末数学试题(已下线)4.2.3 等差数列的前n项和-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)(已下线)4.2.2.1 等差数列的前n项和公式(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)上海市七宝中学2023届高三下学期开学考试数学试题(已下线)4.1 等差数列(第2课时)(十三大题型)(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)专题03 等差数列(二十三大题型+过关检测专训)(4)
9 . 若数列
满足
,存在
,对任意
,使得
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314700bcb114ba3aa282be49f443fe5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9ded62526f2d427d798137a2f5ec0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028d0dbf0da3f4168ba82a4e9833f5e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea00d10c496ccacb5b25c9574d6cdb09.png)
您最近一年使用:0次
10 . 已知正项数列
满足
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e43a5c892d79f25ec4e63d6c26d0cc.png)
A.对于任意正数![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次