1 . 设数集
满足下列两个条件:(1)
;(2)
,若
则
. 则下论断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8518dab1e2a5525a4311a8cca1700cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56e6a5f7c06d61bc833ac4bcb61b89a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac8c98b4e75cc7d3a018a9ec34ee522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8551a883fdf0a472d21a5aff7b080005.png)
A.![]() |
B.a,b,c,d中必有一个为1 |
C.若![]() ![]() ![]() |
D.![]() ![]() |
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2023·河北·模拟预测
名校
解题方法
2 . 若复数
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0784ba9206d8a1c9b3c8191c9af6d0f7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3284ac12983830b8d7606a8dc5724b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497d68cdd1ae98ab32060ff5f83cf2b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0784ba9206d8a1c9b3c8191c9af6d0f7.png)
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解题方法
3 . 任何一个复数
(其中a、
,i为虚数单位)都可以表示成:
的形式,通常称之为复数z的三角形式.法国数学家棣莫弗发现:
,我们称这个结论为棣莫弗定理.根据以上信息,若
,
时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd51126748842fd297207380c837c65.png)
________ ;对于
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ab69a7342636d18bec36f8e9d5f512.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae040082ce4b67e17e14599adffb770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52da2b2b0b9de3b64357fcfb93d3c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7551011cfb75b26f35b07d6617c6a18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d57678b93f1dcb18d4cbb33ff70bce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd51126748842fd297207380c837c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52d4b4639f6dd0c90d09077469e4793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ab69a7342636d18bec36f8e9d5f512.png)
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