1 . 设复数
,其中
,
为虚数单位,
,
,复数
在复平面上对应的点为
.
(1)求复数
的值;
(2)证明:当
时,
;
(3)求数列
的前100项之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b47dc5a1463f34a8499f5479764546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09323ec2448e441ce9d2caa35209dd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d147f9fe5ece4e0137ad5f9dc5d12638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc6fba9a1148d84db70b4bd733df294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51747aa8f100ac5b7e645643aa08fa4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9dc4e868a310c371ff88075d8a966a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176f249595624605402d8cb1bcb4eae2.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9a4c4c83c3520c62c65643b91d9315.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b08e99ff9a2096c26d1ff1e0590fa42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e55f68a094fda7b68826e4f66e39c1.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8503cdd4881a65fcf45527f1c86e0cf7.png)
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2020-02-02更新
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4卷引用:福建省龙岩市2023届高三上学期期中复习数学试题
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