名校
解题方法
1 . 若
(
)在复平面内所对应的点在第一象限,则整数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedc08d1fe0325a7145c83ee35cffb76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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名校
解题方法
2 . 若复数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683103fe7da4280d75dbc7ad914541b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
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3 . 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/e7cba625fc17cf10582952a05e4b2a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解题方法
4 . 设
(
为虚数单位),若z为纯虚数,则实数m的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22560b591e125d6a19cdaaacbd87d769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
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5 . 已知i为虚数单位,化简
的结果为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308f2ae0037633948039cfb451ac8c5a.png)
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6 . 设
,
为虚数单位,定义
,则复数
的模为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388d3d213a231cccf854a29eef611d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e30fb5f1e449b3e02cde4227197999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8249f64708759238b0018034947b1989.png)
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7 . 已知复数
(
是虚数单位),若
所对应的点在复平面的第二象限内,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de1736cc83eb40e52d056c11a1de5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
8 . 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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9 . 复数
在复平面内对应的点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6150fca7d7bdeb01bcbddc11591b029c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8833ba3833480237f47774984958c01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6150fca7d7bdeb01bcbddc11591b029c.png)
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10 . 已知复数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5180870db7898ba23e2b38ff5c9d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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