解题方法
1 . 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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2 . 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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