1 . 骑行是一种健康自然的运动旅游方式,能充分享受旅行过程之美.一辆单车,一个背包即可出行,简单又环保.在不断而来的困难当中体验挑战,在旅途的终点体验成功.一种变速自行车后齿轮组由7个齿轮组成,它们的齿数成等差数列,其中最小和最大的齿轮的齿数分别为10和28,求后齿轮所有齿数之和( )
A.134 | B.133 | C.114 | D.113 |
您最近一年使用:0次
2022-07-21更新
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352次组卷
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4卷引用:广西壮族自治区桂林市田家炳中学2023届高三上学期11月月考数学(文)试题
广西壮族自治区桂林市田家炳中学2023届高三上学期11月月考数学(文)试题四川省凉山彝族自治州2021-2022学年高一下学期期末数学(理)试题四川省凉山彝族自治州2021-2022学年高一下学期期末数学(文)试题(已下线)4.2.2 等差数列的前n项和公式(精练)(2)
2 . 已知常数a≠0,数列
的前n项和为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1845e897e09f7504a36ca6b5adcc0b4.png)
(1)求证:数列
为等差数列;
(2)若
且数列
是单调递增数列,求实数a的取值范围;
(3)若
数列
满足:
对于任意给定的正整数k,是否存在p,
,使
若存在,求p,q的值(只要写出一组即可);若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4af60e70f570ec61b8170214977bc3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1845e897e09f7504a36ca6b5adcc0b4.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6678c59e26c0bea46f44e1aeb3d15422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45051c4c45caa2bf4763206d5708bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3849d50adf105c12964bafa7b359aabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21cfd1ad0f4254be1d88c6577b6bbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d383728b0f29a81482776d888e631f62.png)
您最近一年使用:0次
3 . 已知常数
,数列
的前
项和为
,
,
;
(1)求数列
的通项公式;
(2)若
,且
是单调递增数列,求实数
的取值范围;
(3)若
,
,对于任意给定的正整数
,是否存在正整数
、
,使得
?若存在,求出
、
的值(只要写出一组即可);若不存在,请说明理由;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a5c3c4f357262b7c87b1ed2c9f2c7b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f54767fc3712f88a4d29681df982a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34072e17eecd99e5b9f533a1f508ee93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c02294147da63c9caaaa3ea0ee26979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
2017-11-16更新
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749次组卷
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4卷引用:上海市七宝中学2017届高三上学期第一次月考数学试题
上海市七宝中学2017届高三上学期第一次月考数学试题上海市七宝中学2017届高三上学期10月月考数学试题上海市青浦高级中学2016-2017学年高二上学期期中数学试题(已下线)4.3数列的概念与性质(第1课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件(沪教版2020选择性必修第一册)
11-12高三上·江苏·阶段练习
名校
4 . 已知常数
,数列
的前
项和为
,
且
.
(1)求证:数列
为等差数列;
(2)若
,且数列
是单调递增数列,求实数
的取值范围;
(3)若
,数列
满足:
对于任意给定的正整数
,是否存在
,使
?若存在,求
的值(只要写出一组即可);若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea73a8c287424d6281822f8a340106e6.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e8f700816151c538d07e6bc7532550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8881be0063af5f5008a97ff17a4681da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11539515797827d90a6c9f161d82346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e62f7e42856aa40f3b1a1d8890762cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
您最近一年使用:0次
解题方法
5 . 在下面三个条件中任选一个,补充在下面的问题中并作答.
①
;②
;③
.
已知
为数列
的前
项和,满足
,_____.
(1)求
的通项公式;
(2)若
,其中
表示不超过
的最大整数,求数列
的前100项和
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716b0d799590adaca25ca158c94aae0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b0f06cf2f60f775e42c3088e7094e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c2c2ca96205f7d4f041beed2d36150.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace63496d08ebacdc18911ae7750cb9b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcac983119885256c76e12dfdc09d2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e90b41a295a4b424cf37f5640430dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf875d39eb5d5f561228a38b9bc8b811.png)
您最近一年使用:0次
名校
解题方法
6 . 在①
;②
;③
是
与
的等比中项,三个条件中任选一个,补充在下面问题中,并给出解答.
问题:已知
为公差不为零的等差数列,其前
项和为
为等比数列,其前
项和
为常数,
,
(1)求数列
的通项公式;
(2)令
其中
表示不超过
的最大整数,求
的值.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef910998694cb9459c3795dd426208c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6629be976637976a6fdb13cb4c48888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e7b23fd74e3cf89ac541cb7a5d88.png)
问题:已知
![](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/791f5f5a4ae7cd3fbb1281572f1d1c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91a9b97fb46c37540627395d5a4296e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe0f4e8a80a2840c0f6929a8a6351b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236fce2fe83bbc5d0a200ace4952fe07.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b8a215205ac839a4053521f259b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478c2b08fae4dae5113479a524e6a693.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
2021-03-29更新
|
2816次组卷
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7卷引用:江苏省泰州市姜堰中学、如东中学2021-2022学年高三上学期12月阶段性测试数学试题
江苏省泰州市姜堰中学、如东中学2021-2022学年高三上学期12月阶段性测试数学试题山东省烟台市2021届高三一模数学试题(已下线)押第17题 解三角形与数列-备战2021年高考数学(理)临考题号押题(全国卷2)(已下线)专题2.4 数列-结构不良型-2021年高考数学解答题挑战满分专项训练(新高考地区专用)(已下线)专题08 数列求和及综合应用-2022年高考数学毕业班二轮热点题型归纳与变式演练(新高考专用)(已下线)专题11 数列前n项和的求法 微点9 转化化归法求和(已下线)黄金卷07