名校
1 . 复数
的虚部为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395e44f474af7c750731115aa33d8860.png)
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2 . 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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解题方法
3 . 已知关于
的实系数一元二次方程
的两个虚根为
,若
,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11701b9f767588bc739000d823796fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9448df33ed1b7fdaefe2b5b199caa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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4 . 已知
为虚数单位,则复数
的实部为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4743ee424ccd6a3b0ab78df2af638b.png)
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5 . 已知
为虚数单位,则复数
的虚部为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfc91bca4928132270fd039c8d68a63.png)
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6 . 复数
在复平面内对应的点的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8648b214f299170fcd754810f45ee82.png)
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7 . 已知复数
满足以下条件:①复数在复平面内对应的点位于第一象限;②复数的模为5;③复数的实部大于虚部,则复数
可以是__________ .(填写一个答案即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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8 . 若复数
在复平面内对应的点为
,则满足
的复数
为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0924ff22fff9f5639feb0ceeece80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e5e59e682823f1be46289f0c6ca563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f6aeb6ba39321159128713fa17ccf.png)
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9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de4f4ae100a82f6cab6924c0f165084.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de4f4ae100a82f6cab6924c0f165084.png)
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10 . 在复平面内,复数
对应的点到点
的距离是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1083b2e1b3bb34c2baa94c4bc0a09cb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7570c77bd375f4dfdffee64fce8d1a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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