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解题方法
1 . 等差数列{an}满足
,
,则数列{an}前n项的和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8646baa9fe67d1b0b888f93ebbae35f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe4861fb2d97649a97d740ac3b8be4f3.png)
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2023-01-02更新
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3卷引用:上海市奉贤区2022届高三一模数学试题
2 . 已知等差数列
的前10项之和为30,前20项之和为100,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f634822816a8ed06616b6e7d9ead1109.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f634822816a8ed06616b6e7d9ead1109.png)
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3 . 已知等差数列
中
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cbb3da581ee5e9bf6c6cef8f7bd4d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe94b461ba61f1fdecf119ff95a42e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2022-12-17更新
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1040次组卷
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3卷引用:上海市复旦大学附属中学2023届高三下学期开学考试数学试题
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4 . 若等差数列
中,
,则数列
的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f349d43f7d890ee39a2f9dc0736974b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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5 . 已知
和
均为等差数列,若
,则
的值是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05a33673785749c753f4a3f9cb9c42c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab52d3a9e1e93e32a7e2254205bbfcb2.png)
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解题方法
6 . 有一串有规律的数字:
,则这串数字的第100个数字是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cd81c3956ac64e3b95fa938ac512071.png)
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7 . 在等差数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a45e830632ae31eb33bca911f1f08dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
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2022-12-11更新
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911次组卷
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3卷引用:上海市高桥中学2022-2023学年高二上学期期末数学试题
上海市高桥中学2022-2023学年高二上学期期末数学试题(已下线)第4章 数列(基础、典型、易错、压轴)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)贵州省贵阳市“三新”改革联盟校2022-2023学年高二上学期月考(六)数学试题
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8 . 在等差数列
中,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58365ff21052f2f978c11844b002b933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faaf9de2ddb7670dea548c45f8444ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
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9 . 已知
为等差数列,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d41714b697502603280a31e5f603a0.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d6364683365a01b2fc669ce27d46e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d40a6f0f2624d948d2546a96f8fc0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d41714b697502603280a31e5f603a0.png)
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2022-12-03更新
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3卷引用:第4章 数列 单元综合检测(重点)-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4章 数列 单元综合检测(重点)-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)江苏省泰州市2022-2023学年高二上学期期中联考数学试题黑龙江省牡丹江市第三高级中学2024届高三下学期第四次模拟数学试卷
10 . 已知公差不为0的等差数列
的前
项和为
,若
,则
的最小值为______ .
![](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/f27e9f73976c7aa66484d68a2e53ef81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-11-30更新
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253次组卷
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2卷引用:上海市奉贤中学2021-2022学年高二下学期期末数学试题