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1 . 已知在△OAB中,
=10,点P为线段AB上一动点,点C1,C2,…,C9依次将线段AB分为了10段,且这10段的长度恰好可以既构成等差数列,又可以构成等比数列,现定义关于点P的函数:f(P)=
,则f(P)的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d401876b078e318413b8ad876c54b7be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60e48b662f69575d179f1d7e26f9902.png)
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2 . 已知在数列{an}中,a1=1,an+3≤an+3,an+2≥an+2,则a2023=______ .
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3 . 若b是2,8的等差中项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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2022-06-28更新
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785次组卷
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7卷引用:上海市复旦实验中学2021-2022学年高二下学期期末数学试题
上海市复旦实验中学2021-2022学年高二下学期期末数学试题(已下线)4.1等差数列及其通项公式(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(已下线)4.2 等差数列(1)(已下线)第2讲 等差数列的通项及性质7大题型(1)(已下线)4.2.1等差数列的概念(2)(已下线)上海高二下学期期末真题精选(基础60题60个考点专练)-【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)(已下线)核心考点06数列-【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)
4 . 已知数列
满足
,则其通项公式![](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/715595c9d9b1d8968913240740a7ff69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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5 . 在等差数列
中,
,公差
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
_________ .
![](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/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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解题方法
6 . 已知数列
的前
项和
,若不等式
对任意
恒成立,则
的取值范围为______ .
![](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/851afb5fa82c3e4448ac7b674d143cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3626c856c02014705e4498a69e07037a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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7 . 定义
为向量
到向量
的一个矩阵变换,其中
是坐标原点,已知
,则
的坐标为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa3d1ae4575bb04938e975ac4b7d0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875a02f32e9bb0003f6e10b80f932219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eddb6c374450e4a538416b04fd2a108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1d3021dcb8ef1c79f4fddeb4496105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28135963f2bffcb7814aa8c784b8f5d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc8a9959e2676ff1bb47f78dfbe249a.png)
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8 . 已知数列
的前
项和为
,
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e0e47eaf5d7c06a0aca950850c4a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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解题方法
9 . 已知不同的三点
在一条直线上,且
,则等差数列
的前2016项的和等于________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2467ae513b2b79387a6840dd334e953a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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10 . 已知等差数列
中,
,
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa4cf1aefcb569197b97ecb8fc4049f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2da0ff9dc73d62f8162fc3de186150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e76d1d8e50dda4d50229a8a20c57e58.png)
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