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解题方法
1 . 在复平面内,复数
对应的点Z的坐标为________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e951f086d8b0f8459878656eb29274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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2 . 已知复数
在复平面内对应的点分别为
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ ;若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5274f9384f8a7dd28ecf13f9ffbc87b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32458db21db3e131308b31f48353fbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2945cbc4ff0cb87a163b660d7b8d07fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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3 . 已知复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545141bbe7cc66d18946a129179d8df1.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a77be16b5cda28c9de818862e60b984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545141bbe7cc66d18946a129179d8df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
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名校
解题方法
4 . 已知
,其中
,i为虚数单位.则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f5d06f8561029a7d78f9671021fa96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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2024-06-08更新
|
133次组卷
|
2卷引用:安徽省金榜教育2023-2024学年高一下学期5月阶段性大联考数学试题
名校
5 . 棣莫弗定理:若
为正整数,则
,其中
为虚数单位,已知复数
, 则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b890700d682af673c0dd9f143a27ba7.png)
____ ,
的实部为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f679d4c4b3686ee3602923cda586377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9c0e62c8d20f29175d3a633726898c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b890700d682af673c0dd9f143a27ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c5f55103d035451be62f54c0e12d05.png)
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6 . 已知成对样本数据
,
,…,
中
,
,…,
不全相等,且所有样本点
都在直线
上,则这组成对样本数据的样本相关系数r=______ ,其决定系数
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2852ae85cfcc804b3192ea8543c88938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2666f1aa8541683b061e8a596260366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f1c11bd791dcfbcc90c53c1c125ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6599b8f014efb1ac974f1ff915359616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
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7 . 已知
,
是方程
的两根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22c2ddd5044a27e5e53d86d6b93bbfa.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7525c9480d4b7ac129996dbd7b1cb7cb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20ac62f808bd32a4d6fcbe4ae681548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22c2ddd5044a27e5e53d86d6b93bbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7525c9480d4b7ac129996dbd7b1cb7cb.png)
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8 . 若
,
,且
为纯虚数,则
在复平面内对应的点位于第______ 象限,实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80d6b34d49a8fe96637a7429fc883ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03f9b805c034ffdc542b03e5fa7ac9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4bd86abf556fccaec6c5a0999a0acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知复数
满足
(其中
为虚数单位),则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
__________ ,复数
的虚部为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2dc922c4f00190cf3d9d70a05cf729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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10 . 在复平面内,复数
对应点的坐标为
,则
的虚部为__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8d4393d58857fadc2827dec8072275.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68eeb4a3f4ee2e2f1f6ec335d4033c92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8d4393d58857fadc2827dec8072275.png)
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