1 . 设由复数组成的数列
满足:对任意的
,都有
(
是虚数单位),则数列
的前2020项和的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6a71dce20a87b70907438836fce9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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2020-06-12更新
|
501次组卷
|
6卷引用:上海市静安区2020届高三下学期6月教学质量检测数学试题
上海市静安区2020届高三下学期6月教学质量检测数学试题上海市进才中学2022届高三下学期3月月考数学试题上海市实验学校2022届高三下学期5月月考数学试题2020届上海市静安区高三第二次模拟数学试题湖北省黄石市第二中学2020-2021学年高三上学期10月测试数学试题(已下线)对点练39 等比数列及其前n项和-2020-2021年新高考高中数学一轮复习对点练
2 .
是一个边长为1的正三角形,
是将该正三角形沿三边中点连线等分成四份后去掉中间一份的正三角形后所形成的图形,依次类推
是对
中所含有的所有正三角形都去掉中间一份(如图),记
为
的面积,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e346fc67bc995e73ddea613683910c5.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac014a8e56460b25941958a93282fd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46217887957b2153adf03f96052ad2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e346fc67bc995e73ddea613683910c5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/57e0642c-5392-407b-9706-caf730687f40.png?resizew=488)
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2020-06-04更新
|
819次组卷
|
7卷引用:上海市复旦附中2019-2020学年高一下学期5月测试数学试题
上海市复旦附中2019-2020学年高一下学期5月测试数学试题上海市复旦大学附属中学2019-2020学年高一下学期线上教学评估数学试题上海市杨浦区复旦附中2019-2020学年高一下学期期中数学试题江苏省南通市启东中学2020届高三下学期高考预测卷(一)数学试题(已下线)押第13题 推理与证明-备战2021年高考数学(文)临考题号押题(全国卷2)(已下线)专题27 等差数列与等比数列问题的精彩妙解-备战2022年高考数学一轮复习一网打尽之重点难点突破(已下线)专题17 盘点数列与其它知识交汇问题——备战2022年高考数学二轮复习常考点专题突破
名校
3 . 从数列
中可以找出无限项构成一个新的等比数列
,使得该新数列的各项和为
,则此数列
的通项公式为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f58a312af2125e5a09586045ecae1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1985174e05ad371e13cf24d244423da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
您最近一年使用:0次
解题方法
4 . 数列
是等比数列,
,
,且公比
为整数,则数列
的前
项和
的值为__________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961c1b28170a1c0c0ea36593eb635dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f11d02c774e3a41bfe1621548b2b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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)
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解题方法
5 . 已知
,则使不等式
成立的n的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee233e6278bafd1827f08a2e147c0e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4425491e5267638f5bf6a899eca0dfb.png)
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6 . 对于正整数
,设
,如
,对于正整数
,当
时,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0282d82244cedc5af367e10e6f7bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d1ac525f5b8b3845eac4bd66c121ca.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814c946722fed7ef2d1f956469e40a92.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054a6c89e3cdb61d810f277c808995af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bda188077936e0629aca2bcc86790ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fda11f235233abc0bcef86d75f52581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe18ddd1d99ac7f0a2224bb7c42b8ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0282d82244cedc5af367e10e6f7bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d1ac525f5b8b3845eac4bd66c121ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b84971719229c85609a446f4904c8c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814c946722fed7ef2d1f956469e40a92.png)
您最近一年使用:0次
7 . 设无穷等比数列
的公比
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e2727c0faee8a602bfd908b4607dfc.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bfb71a22c80ad4ba91d9f229e1349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c14f9e7a9f2db11cffc3a49224c1f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e2727c0faee8a602bfd908b4607dfc.png)
您最近一年使用:0次
2020-02-09更新
|
77次组卷
|
2卷引用:上海市上海中学2017届高三上学期10月月考数学试题
解题方法
8 . 若等比数列
的前
项和为
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8d9ff82ab59e62f9ac36298f58ab39.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/aeb9b1e2f2ed752b5a262f09e7d2ab82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8d9ff82ab59e62f9ac36298f58ab39.png)
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2020-02-07更新
|
136次组卷
|
2卷引用:上海市理工附中等七校2016届高三下学期3月联考(文)数学试题
9 . 数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76b369ac91df407483043fe1eb122e4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9dfb7d4ce395cf2fe86aebf9728a646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2653246da33ec5be47f3c3a6f783a247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76b369ac91df407483043fe1eb122e4.png)
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2020-02-05更新
|
219次组卷
|
3卷引用:上海交通大学附属中学2021-2022学年高一下学期5月线上月考数学试题
上海交通大学附属中学2021-2022学年高一下学期5月线上月考数学试题上海市上海外国语大学附属外国语学校2016届高三上学期期中数学试题(已下线)4.5 用迭代序列求√2的近似值(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)
10 . 已知等比数列
的前
项和为
,若
成等差数列,且
,若
,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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d684f34307f6005ff4f8451e56bb20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a47d65e23b4977b3ea071f8052e1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86893b1e4a61e4f4d677bc217249f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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