1 .
是复数
为纯虚数的________ 条件(充分非必要,必要非充分,充要).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fef9e230b927a6c6e29321eff180186.png)
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解题方法
2 . 当
为何值时,复数
对应的点在第四象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a33d4de6dea53b8404db880a342e3c.png)
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3 . 若
,则复数
在复平面内所对应的点在第________ 象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5ee797ea6797c06ba5044e647efaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d7dab3b8ef47d9e57b49c0c0651dc3.png)
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解题方法
4 . 已知
,设
.当
为何值时:
(1)在复平面上
对应的点在第二象限;
(2)在复平面上
对应的点在直线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4d1f62de959cdd44738e596c9588c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)在复平面上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)在复平面上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
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5 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb2173af5762c526df75cc363237678.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 若关于
的方程
有实根
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631f3d4e1fe556cfb9e01120ad26e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255483db09b1e523a4fcc1f618b98ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
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解题方法
7 . 已知复数
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed90fe8a5750bb03c67219ec36514d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
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8 . 已知
,虚数
的模为1时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbf47c4ded4124845c656b2d92e9732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916bb2cc1b29574ff95b47567c59ee0c.png)
您最近一年使用:0次
名校
解题方法
9 . 对于任意的复数
,定义运算
为
.
(1)设集合
{
均为整数},用列举法写出集合
;
(2)若
,
为纯虚数,求
的最小值;
(3)问:直线
上是否存在横坐标、纵坐标都为整数的点,使该点
对应的复数
经运算
后,
对应的点也在直线
上?若存在,求出所有的点;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e5364f380434318a446d538b2233f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c827a9d087db395949f27f5c0f0ac01.png)
(1)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe9ef1768a3d5455d8777bcd3a5552a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a94d530869c1ec1e4faddc05438bca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86202ddf220de1d8f5dc2c72cbe5b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
(3)问:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0771ce92ac12d359cc8a83ccb1d3c590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb77d49f9e0b0d2e01c2258f493b3270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86202ddf220de1d8f5dc2c72cbe5b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
您最近一年使用:0次
2020-06-25更新
|
691次组卷
|
2卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第13章 复数 阶段训练6
解题方法
10 . 设两复数集合
,
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2cbbe3dc4486f661b8236f752deeec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a657a466a1bafe3efe0dd92bdf274d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede280b7d4529ca9afb08bff174225ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-06-25更新
|
213次组卷
|
2卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第13章 复数 阶段训练6