1 . 若e为自然对数的底,则满足
,且
的复数z的个数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ec0e75b252dde0973ef2efe32f9577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f92c6a49d8c173eb40188da78246103.png)
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2 . 设
为
的三内角,则复数
的虚部是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1a4a91485e4c668effb85e57e80ed9.png)
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3 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeee8710a84985f3c21919da8fa54696.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeee8710a84985f3c21919da8fa54696.png)
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4 . 设复数
.则
的值为__________ (用数学作答).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d70f81eb83937490c4ebb6d9a9fb0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7cd38a1ff38977756c5b6af8371b70a.png)
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