复数
满足
,其中
为虚数单位,则复数
的虚部为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd44a7b3283532877ba821477d540433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
更新时间:2024-04-04 16:24:09
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【推荐1】欧拉公式
(i为虚数单位)是由瑞士著名数学家欧拉发现的,它将指数函数的定义域扩大到复数,建立了三角函数和指数函数的关系,它在复变函数论里非常重要,被誉为“数学中的天桥”.根据欧拉公式可知,若复数
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解题方法
【推荐1】欧拉公式
(
为虚数单位)是由瑞士著名数学家欧拉发明的,被誉为“数学中的天桥”.根据欧拉公式可知,
表示的复数在复平面中位于第__ 象限, 且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534a43f78b85f72f6689bc7d77ec5039.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc0ab4d45a4bef21ba8ae793f2e76f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534a43f78b85f72f6689bc7d77ec5039.png)
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【推荐2】已知复数
(其中
为虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
______ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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名校
【推荐2】复数z满足
(
为虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b4a3366cb6a1e92f2efab903f30bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
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