名校
1 . 已知复数
,其中
为实数且
.
(1)若
,求
;
(2)若
为纯虚数,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165ff955ae441bddc31d5eda1b6038c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4b9526c1be993cbadf3a7ccab17894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3550ce6552dedd9bbecec273b3b30d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce22731a412796fe2925e01f765d5976.png)
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2023-05-03更新
|
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6卷引用:四川省成都市锦江区嘉祥外国语高级中学2022-2023学年高一下学期6月月考数学试题
四川省成都市锦江区嘉祥外国语高级中学2022-2023学年高一下学期6月月考数学试题湖南省多校2022-2023学年高一下学期期中联考数学试题湖南省五市十校教研教改共同体2022-2023学年高一下学期期中联考数学试题(已下线)第03讲 复数专题期末高频考点题型秒杀江西省峡江中学2022-2023学年高一下学期期末教学质量检测数学试题(甲卷)(已下线)【高一模块二】类型3 以复数为背景的解答题(B卷提升卷)
名校
2 . 已知复数
.
(1)求
的值;
(2)设
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20129f794f91bd4f2c135036289d44a4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2f24127a45b2d17857bcc37585b048.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16901eed014eb1ebbc0289f525010cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d37edfb55263924e0b3d7e7a8afbc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5261c2a51f43e12ea06b9ba6bf41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff7a5998171fd87d749bbea2a929290.png)
您最近一年使用:0次
名校
解题方法
3 . 设复数
,i为虚数单位,且满足
.
(1)求复数z;
(2)复数z是关于x的方程
的一个根,求实数p,q的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f543c26ef2de07fb132ba386a8b498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e3260b0b3ceeefc3584c1c196ebe24.png)
(1)求复数z;
(2)复数z是关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783a7b78d895784b4af75b962bd40f07.png)
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2023-07-03更新
|
398次组卷
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2卷引用:四川省成都市蓉城联盟2022-2023学年高一下学期期末联考数学试题
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解题方法
4 . 设复数
(其中
),
.
(1)若
是实数,求
的值;
(2)若
是纯虚数,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d73ae3bc9b7c3a67ae6f515dcc40e60b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8f3e2766c6dfb024a7260fd554190c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4e2b866b0043a32fc78326553841d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
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2022-05-09更新
|
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2卷引用:四川省成都市蓉城高中教育联盟2021-2022学年高二下学期期中考试文科数学试题
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5 . 设复数
,
,其中
为锐角.
(1)若复数
在复平面内对应的点在直线
上,求
的值;
(2)求
的取值范围(其中
是
的共轭复数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434aa388106412a9353689fd7ab340e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7801464dcce7040596067237f92474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(1)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a40a402b8af0497a46bb4a2cbf24e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b945424dbcf095e2bf7682f654875a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ffa08ed6ed096422af6ff471c569c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
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2021-05-21更新
|
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4卷引用:四川省成都市第七中学2020-2021学年高二下学期期中数学(文科)试题
四川省成都市第七中学2020-2021学年高二下学期期中数学(文科)试题四川省成都市第七中学2020-2021学年高二下学期期中数学(理)试题(已下线)3.2 复数代数形式的四则运算-2020-2021学年高二数学(理)课时同步练(人教A版选修2-2)1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(理科)试题(九)
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6 . 已知复平面内的点A,B对应的复数分别是
.
(1)当
为何值时,
的模取得最大值,并求此最大值;
(2)若
,设
对应的复数是
,若复数
对应的点P在直线
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7325a3c99e9ec7227fda404351bbb5f3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e2870b1ece2c9ac2157a9b5c5479a5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78da1535bb82994c4c2e48a427418748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6bc4ac395a4beceaf064f4df953269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6bc4ac395a4beceaf064f4df953269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2022-05-19更新
|
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4卷引用:四川省成都市双流区双流中学2023-2024学年高二上学期10月月考数学试题
四川省成都市双流区双流中学2023-2024学年高二上学期10月月考数学试题河北省张家口市张垣联盟2021-2022学年高一下学期第二次阶段测数学试题(已下线)7.1.2 复数的几何意义 (精讲)(2)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)第七章:复数 章末检测试卷-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)
名校
解题方法
7 . 已知复平面内的点
,
对应的复数分别为
,
,设
对应的复数为
.
(1)当实数
时,求
;
(2)若复数
在复平面上对应的点位于第四象限,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519e844dbbd2773023ddbd3c399b7801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6358a092b4c38c98fb7302310c94f778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(1)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-09-29更新
|
222次组卷
|
2卷引用:四川省成都市新都区成都市新都一中2019-2020学年高二下学期期中数学试题
8 . 设复数
,
,
为虚数单位.
(1)若复数
满足
,求复数
;
(2)我们知道,对于两个实数
、
,有
.类比这一结论,对于两个复数
、
,请写出类似的等式,并用复数
、
检验你的结论是否正确.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb141ef80cbee0f2e4c787999d2b9cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e9e34af1f9220e98684693f819e8a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
(1)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489c50016608e8216e12c2a402e01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)我们知道,对于两个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce39d7d5580a6f9c48eedbea66761665.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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
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9 . 已知复数
满足
.试判断复数
在复平面内对应的点的轨迹是什么图形,并求出轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c926d0e5882dea7d7806c643e4deb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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2017-04-23更新
|
345次组卷
|
2卷引用:2016-2017学年四川省成都市第七中学高二下学期半期考试数学(文)试卷