解题方法
1 . 已知数列
满足
,
数列
前
项和为
,则下列叙述正确的有( )
![](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/31a3c7fe45d488eb402cd86aea0ee9b9.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)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2 . 已知数列
是公比
的等比数列,前三项和为13,且
,
,
恰好分别是等差数列
的第一项,第三项,第五项.
(1)求
和
的通项公式;
(2)已知
,数列
满足
,求数列
的前2n项和
;
(3)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b3175ab6772cd611f9c42771a9467d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90c4e8734cf9695378e52862a603900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c910871ff511e1ea952ad66eff1016db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-05-27更新
|
3502次组卷
|
12卷引用:天津市南开区2022届高三下学期三模数学试题
天津市南开区2022届高三下学期三模数学试题(已下线)专题27 数列求和-2天津市第七中学2022-2023学年高三上学期12月月考数学试题天津市南开区翔宇学校2022-2023学年高三上学期期末数学试题天津市南开大学附属中学2023届高三下学期2月统练(一)数学试题(已下线)天津市南开中学2023届高三下学期第五次月考数学试题(已下线)第7讲 数列求和9种常见题型总结 (2)(已下线)专题6-2 数列大题综合18种题型(讲+练)-1(已下线)模块六 专题6 全真拔高模拟2(已下线)数列 求和专题04数列求和(裂项求和)天津市滨海新区塘沽第一中学2023-2024学年高二上学期期末数学练习9
名校
解题方法
3 . 设正整数
,其中对于任意
,
. 函数
满足
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06df740022c2c594bd0c069626e2cddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560d779b6110e79275749b1911a557f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5a20ff43995563aa4638efdf46359c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b8de661bf5d2d2ab1fa2bd97babb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092d08b0a38fd9bef76f7168ce1fc9dc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知数列
满足:
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c9b4b129e5de15da8a9aa6804e70af.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
5 . 有一种病毒在人群中传播,使人群成为三种类型:没感染病毒但可能会感染病毒的
型;感染病毒尚未康复的
型;感染病毒后康复的
型(所有康复者都对病毒免疫).根据统计数据:每隔一周,
型人群中有95%仍为
型,5%成为
型;
型人群中有65%仍为
型,35%成为
型;
型人群都仍为
型.若人口数为
的人群在病毒爆发前全部是
型,记病毒爆发
周后的
型人数为
型人数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
_________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c924524959153c8031321b4fd189d4.png)
__________ .(用
和
表示,其中
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10c9aeb6be75e30807bff39c79a65e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72f2cbabcb955a433e99bf0ee8ec020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c924524959153c8031321b4fd189d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
您最近一年使用:0次
名校
解题方法
6 . 已知数列{an}满足
,若2≤a10≤3,则a1的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f42d684f722577b7772e0aee32d9fe.png)
A.1≤a1≤10 | B.1≤a1≤17 | C.2≤a1≤3 | D.2≤a1≤6 |
您最近一年使用:0次
2020-09-10更新
|
1019次组卷
|
11卷引用:浙江省2019年6月普通高中学业水平考试数学试题1
浙江省2019年6月普通高中学业水平考试数学试题1(已下线)浙江省2019年6月普通高中学业水平考试数学试题(已下线)第二章+数列(能力提升)-2020-2021学年高二数学单元测试定心卷(人教版必修5)(已下线)黄金卷03-【赢在高考·黄金20卷】备战2021年高考数学全真模拟卷(江苏专用)(已下线)2021年高考数学押题预测卷(江苏专用)01陕西省咸阳市2021届高三五月数学信息专递试题(已下线)考点突破14 数列-备战2022年高考数学一轮复习培优提升精炼(新高考地区专用)新疆新源县2020-2021学年高一下学期期末联考数学试题(已下线)第4章《数列》 培优测试卷(二)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)陕西省延安市第一中学2022-2023学年高二上学期第一次月考文科数学试题安徽省合肥市第一中学2023-2024学年高二上学期素质拓展训练(10)数学试题
解题方法
7 . 已知数列
满足
.
(1)求数列
的通项;
(2)设
,若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c811b8b0124c799580b5fa9cae3929.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980d51ba3340a31964fbec9e6f243ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcbc64b0f3d08d5285ee32e5ca13d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6afc5de00034c4b65e5c2841c1e299.png)
您最近一年使用:0次
8 . 已知数列
中,
,
,记
为
的前
项的和,
.
(1)证明:数列
是等比数列,并求
的通项公式
;
(2)若不等式
对于一切
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41fa39beb262923b9ae33817c0dd601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314501f06c7e4bf3112fe41ecac7be68.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d677023f822196697f0134109da07012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
9 . 已知数列
满足
,
,则
的整数部分是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c286f0bf939f0ec7abed0d75f414c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a564595e470d31c824b99575a53f9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f08bfc248240b1059552d603a4181c7.png)
您最近一年使用:0次
2020-07-17更新
|
659次组卷
|
3卷引用:上海市进才中学2019-2020学年高一下学期期末数学试题
10 . 已知数列
满足:
,
,
,
.
(1)求
、
、
、
的值;
(2)设
,
,试求
;
(3)比较
、
、
、
的大小关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde13a1d82174255f34cc22f8127787b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfad8569ce6093853891d34aaca4635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02250c43a361748ec6ff53945d166ea7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9973881f75f617a3d0aba8a77011d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f422edb72f7e1d5529a5570feb77df.png)
(3)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475fdc2128fcc98e4bfe451fd1f49120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08be9681cf2689ffe4049c6dbb7b171f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaec3004937aab88c44e66753caab782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a50f815f27b1c935fe28935cb2d3ff.png)
您最近一年使用:0次
2020-06-13更新
|
791次组卷
|
5卷引用:2020届上海市浦东新区高三三模数学试题
2020届上海市浦东新区高三三模数学试题上海市建平中学2020届高三下学期6月月考数学试题(已下线)热点05 数列与不等式-2021年高考数学【热点·重点·难点】专练(上海专用)上海市浦东新区建平中学2021届高三6月份数学模拟试题(已下线)考向16 数列求和及数列的综合应用-备战2022年高考数学一轮复习考点微专题(上海专用)