已知
(
为虚数单位),则
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da059bb9826e0db7c72e319d61fd8fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e0466aab2b82c606b3f9a77812cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
更新时间:2017-09-10 16:48:36
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适中
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【推荐1】已知
,
是虚数单位,若复数
,则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac8dc2b59558ea3ae912914a1a293a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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名校
【推荐2】已知
,
是复数,则下列正确结论的序号是______ .
①若
,则
; ②若
,则
;
③若
,则
; ④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f177c6cca5fb7ed9c771ff15536cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714274d984c3194fc3bb949f0a16d7cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4499642b5a23d766dbd3f7146039c568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5bc8b000382c361d436db319243715b.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fbfb5c6ca0e87e72f3fcec6202eb2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54521b0b406462d426781ccdd5b8efc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fbfb5c6ca0e87e72f3fcec6202eb2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae527610c6b137cd499d78b657eac5f.png)
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(0.65)
【推荐1】已知复数
对应的点在复平面第三象限内,甲、乙、丙三人对复数
的陈述如下(i为虚数单位):
甲:
;乙:
i;丙:
;丁:
.
在甲、乙、丙、丁四人陈述中,有且只有两个人的陈述正确,则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba12d5917187d119a4d4c5d18e5c719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b758d7e6466e2069e8ba7ec80d1a235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b344d2b04e9dc6bc2cc90b752e420ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5220d2a1cb9f39a58e147e8b2168fd7b.png)
在甲、乙、丙、丁四人陈述中,有且只有两个人的陈述正确,则复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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解题方法
【推荐2】设复数
满足
的实部与虚部之比为
,其中
是虚数单位,
,
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9e4a7572ce9d7f8041b6ec5a3c3ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6822dbb5c771abb8009263a228e017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ecf1ef589f59734f7f89b010365a38.png)
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