1 . 已知数列
为等差数列,其公差
,若数列
中的部分项组成的数列
,
,…,
,…恰为等比数列,其中
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9e9e77ad749f62b9890e3ff398a194.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8ebcd5b8f8ae04513834a70575816f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3aaabba90eefb861068bf014f9d0b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b625d02d9054af978b5fb6ec9bee787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eaa992a449b828df0ff545e233b279b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84f592310f4b9637b225cab622b2aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d438131add92b51c4e0b06ec6aff581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9e9e77ad749f62b9890e3ff398a194.png)
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4卷引用:北京市海淀区中国人民大学附属中学2023届高三下学期开学摸底练习数学试题
名校
2 . 已知
是等差数列,
是公比为c的等比数列,
,则数列
的前10项和为__________ ,数列
的前10项和为__________ (用c表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c394d7bd6be49f089aa78d2d4fd0a9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b7108404b9c7ac8e9d91b6100ff690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
您最近一年使用:0次
2020-09-14更新
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10卷引用:北京市人民大学附属中学2021届高三(上)8月练习数学试题
北京市人民大学附属中学2021届高三(上)8月练习数学试题甘肃省兰州市第五十八中学2022-2023学年高二下学期开学检测数学试题(已下线)专题7.3 等比数列及其前n项和(精练)-2021年新高考数学一轮复习学与练(已下线)专题4.3 等比数列(B卷提升篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)(已下线)专题4.4 数列的求和(B卷提升篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)(已下线)专题5.3 等比数列(B卷提升篇)-2020-2021学年高二数学选择性必修第三册同步单元AB卷(新教材人教B版)(已下线)专题28 数列求和的类型和方法-备战2022年高考数学一轮复习一网打尽之重点难点突破福建省连城县第一中学2022-2023学年高二上学期第一次月考数学试题(已下线)专题01 盘点求数列前n项和的五种方法 -1福建省漳州市第三中学2022-2023学年高二上学期期中数学试题
3 . 如图,将数字1,2,3,…,
(
)全部填入一个2行
列的表格中,每格填一个数字,第一行填入的数字依次为
,
,…,
,第二行填入的数字依次为
,
,…,
.记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d1db483f66acc2346ef55761944a26.png)
.
![](https://img.xkw.com/dksih/QBM/2017/4/12/1664078945124352/1664181740838912/STEM/212907bd9d9c41fd8b2e1b1a4edf0436.png?resizew=206)
(Ⅰ)当
时,若
,
,
,写出
的所有可能的取值;
(Ⅱ)给定正整数
.试给出
,
,…,
的一组取值,使得无论
,
,…,
填写的顺序如何,
都只有一个取值,并求出此时
的值;
(Ⅲ)求证:对于给定的
以及满足条件的所有填法,
的所有取值的奇偶性相同.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d1db483f66acc2346ef55761944a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd21b5373b3c503755fc64e00526887b.png)
![](https://img.xkw.com/dksih/QBM/2017/4/12/1664078945124352/1664181740838912/STEM/212907bd9d9c41fd8b2e1b1a4edf0436.png?resizew=206)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a0eecb5b800fce9ae10aed86ffee62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
(Ⅱ)给定正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(Ⅲ)求证:对于给定的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2017-04-12更新
|
973次组卷
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5卷引用:2020届北京理工大附中高三上学期9月开学数学试卷
2020届北京理工大附中高三上学期9月开学数学试卷北京市一零一中学2021届高三下学期统考四数学试题北京市海淀区中国人民大学附属中学2021-2022学年高二上学期期中练习数学试题2017届北京市西城区高三4月统一测试(一模)数学理试卷(已下线)专题04 拿高分题目强化卷(第三篇)-备战2021年新高考数学分层强化训练(北京专版)