1 . 在复平面
内,点
对应的复数
满足
,点
对应的复数是
,(i为虚数单位).
(1)求
;
(2)以
,
为邻边画平行四边形
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36157c54c8ee375e4bec50f4deada59e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5725e7e54fcb39297e1e412bffdfe2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
(2)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e902eb263971b466d0fcd91c56b453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
您最近一年使用:0次
2021-08-07更新
|
152次组卷
|
2卷引用:江苏省宿迁市2020-2021学年高二下学期期末数学试题
名校
2 . 已知复数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dde54ef0a4f25fbd001f351e28b78c.png)
(1)求
的共轭复数
;
(2)复数
满足
,求
在复平面内对应点的集合所表示的图形面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcc78b50e4eb2ef6076b0ef4fab732d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dde54ef0a4f25fbd001f351e28b78c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcc78b50e4eb2ef6076b0ef4fab732d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7359cd5390b336e0edd0be8af93b4ec9.png)
(2)复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bb97ae72bedbafccb16d033835c5b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
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2021-08-04更新
|
109次组卷
|
2卷引用:广西钦州市第四中学2021-2022学年高二下学期3月月考数学试题(文科)
3 . 设复数
,若
是虚数单位,其中
.
(1)若
为纯虚数,求
的值;
(2)若
是
的共轭复数,若复数
所对应的点在第三象限,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b81a42657af065d9dc691939408ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985c35780e0229040ef2a0cdd2381769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 已知复数
(
,
为虚数单位)
(1)若
是纯虚数,求
;
(2)若
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7108886688095af48060446a165653a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d0496931b5cc4fb604e07b493e8f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2021-07-27更新
|
87次组卷
|
2卷引用:青海省西宁市大通回族土族自治县2020-2021学年高二下学期期末联考数学(文)试题
名校
5 . (1)计算:
.
(2)若复数
满足方程:
(
为虚数单位),求复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302c36dc1e3fdc24f4cd05a0f71f1605.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e2cb0625cc2e11adc26ad935579394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0584993cfa0801d603ffca041ecf3f.png)
您最近一年使用:0次
6 . 已知复数:
(
为虚数单位),
表示z的共轭复数;
(1)求z;
(2)若
,求实数a,b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3ed7be785aca413d49f1164b544491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
(1)求z;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21cf24150239b40fed4abb3ed4dd8fb3.png)
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解题方法
7 . 从①
与复数
相等,②
与复数
成共轭复数,③
在复平面上对应的点在第一、三象限角平分线上这三个条件中任选一个,补充在下面问题中,并解答.
问题:若复数
, .求方程
的根.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fbfeb935c223b8714d6c737c26703b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c686107b1a25e4d5c7502928657537f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
问题:若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5ae189512cce0284e4e4332843fb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69726cced7e738336ff5ea5cd2b73dae.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
2021-05-17更新
|
530次组卷
|
6卷引用:第三章 数系的扩充和复数的引入【专项训练】-2020-2021学年高二数学(文)下学期期末专项复习(人教A版选修1-2)
(已下线)第三章 数系的扩充和复数的引入【专项训练】-2020-2021学年高二数学(文)下学期期末专项复习(人教A版选修1-2)山东省泰安肥城市2020-2021学年高一下学期期中考试数学试题苏教版(2019) 必修第二册 必杀技 第12章 复数 素养检测(已下线)7.2.2复数的乘、除运算【第二课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)模块四 专题1 高考新题型专练(劣构题专练)(人教A)(已下线)模块三 专题3 高考新题型专练(劣构题专练)(苏教版)
20-21高一·上海·课后作业
解题方法
8 . 设O为坐标原点,已知向量
、
分别对应复数
、
,
,
(其中
),若
是实数,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a72ff93c6b79f395aabb9f25e45203d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95985232e68bbf4e37f147d89efbfed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbf8f109110133bf7878feae9ff00da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c267d9c644e830cdf349c0223bd6a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2da3e8954f3e22882e7e1aa16b4980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff4ea1965a4d78c524c8f3e3d15deda.png)
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9 . 已知复数
,
(
,i是虚数单位).
(1)若复数
在复平面上对应点落在第一象限,求实数a的取值范围;
(2)若虚数
是实系数一元二次方程
的根,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3e8468ecd2a0f638fafa281e1f8908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50be9f557e9ed444ccd58a0dfdc13bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4e2b866b0043a32fc78326553841d3.png)
(2)若虚数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5707186257494f1fea86066f2778b5.png)
您最近一年使用:0次
20-21高二·全国·单元测试
解题方法
10 . 解方程
,其中z为复数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7977ab9cc49ba3d2bf0f6e6f4d94d53d.png)
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