解题方法
1 . 已知复数
满足
,且
是纯虚数.
(1)求
及
;
(2)若
,求a和b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15928ab2347dca2ca88da76c3914c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1d272b852cbc8ff4a5abf9c3ce3fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b58b7ac7d409f383f8e304e2a469a93.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1245ed74a632317d3a0a106aa9d02eaf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5a434ef0df25d35f9657673194a9d2.png)
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2023-07-10更新
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3卷引用:北京市通州区2022-2023学年高一下学期期末质量检测数学试题
北京市通州区2022-2023学年高一下学期期末质量检测数学试题(已下线)专题03 复数5种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题11复数(第二部分)-高一下学期名校期末好题汇编
解题方法
2 . 已知
,i是虚数单位,复数
与
互为共轭复数.
(1)求a,b的值,并指出复平面内
对应的点所在的象限;
(2)计算
,
,
;
(3)当实数
取什么值时,复数
是下列数?
①实数;②虚数;③纯虚数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88847fdaec216ddd8b5e3c73991b1af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c484d60171548d3b143f4d664b1c9c1c.png)
(1)求a,b的值,并指出复平面内
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e68c6f7d541058db7d84c9b8cc46b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
(3)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02684e895179e428a12199fec9b000cf.png)
①实数;②虚数;③纯虚数.
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3 . 已知复数
(
)是纯虚数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3edeedd4c2821d02830896d78e3062d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df307146ad61d4bf105370f65a3e742c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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