名校
解题方法
1 . (1)设
,在复平面内
对应的点为
,那么求满足条件:
的点
的集合的图形面积;
(2)已知复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd59c594d98fa89b47dc3400028ec04.png)
, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6863f9b63efa155b931a08c5af71a69.png)
,且
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255483db09b1e523a4fcc1f618b98ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c8a0fa1f1d6c3168b96d84c5d58ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
(2)已知复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd59c594d98fa89b47dc3400028ec04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8d1a34435611f6a59eac3dbfeb6e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6863f9b63efa155b931a08c5af71a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd093eb9c030f63a86feaee0cf76f7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a91095e73cc4d985a4875062d953808c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
2 . 已知非零复数
;若
满足
.
(1)求
的值:
(2)若
所对应点
在圆
上,求
所对应的点的轨迹.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baae59c2bff974e09d6b2ebaab5836fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf807e1893eb4470dc776efd1136f8f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6db75cc3c2648070a988aecb18c9b3d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f143ca890a2e92f28a942cbad62781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
名校
3 . 设复数
和
,其中
是虚数单位,
.
(1)若
,求
的取值范围;
(2)若
,且
和
为某实系数一元二次方程的两根,求实数
所有取值的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a91698de7bf67445e97906be340f142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028036063caf702aa7ce81612fccdf65.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca700ed9711f1a208acbef62f8ce1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc5878c00260214cbce298e52eb6256.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3056435b676a931be39546737906ae55.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/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2022-12-01更新
|
517次组卷
|
5卷引用:上海交通大学附属中学2021-2022学年高一下学期期末数学试题
上海交通大学附属中学2021-2022学年高一下学期期末数学试题(已下线)7.2 复数的四则运算2-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)第七章《复数》同步单元必刷卷(基础卷)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)7.2 复数的四则运算(精练)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)9.4 复数的三角形式-同步精品课堂(沪教版2020必修第二册)
4 . 已知复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a36a222129cbe22a3898c0a58e98e6.png)
(1)若z是纯虚数,求m的值;
(2)当m=2时,复数
,复数w满足
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a36a222129cbe22a3898c0a58e98e6.png)
(1)若z是纯虚数,求m的值;
(2)当m=2时,复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de48d93faf318323131550b41221200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0579ded826f5df6a1575c3db996cccde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd0cf1e2d276edd87dbaf5b4f1b3bfe.png)
您最近一年使用:0次
21-22高一下·上海浦东新·期末
名校
解题方法
5 . 已知虚数
,
,其中i为虚数单位,
,
、
是实系数一元二次方程
的两根.
(1)求实数m、n的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86072890f2d775b190f8cd9bb57ecd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3b1edd5ce2cd1c14d9acbaaf4ec959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.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/2788e980eb0dda5a5abc9e49a290803e.png)
(1)求实数m、n的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6f34ccd9ef3db08aa42a0a43415064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
您最近一年使用:0次
6 . 在复平面内,复数
对应的点为
,
对应的点为
.
(1)求
.
(2)若复数z满足
,则复数z在复平面内对应的点的集合是什么图形?并判断点A与该图形的位置关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb8c1ac253f504497962194df593bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f4535188c0996ec130c8a7aaf08dc66.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
(2)若复数z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b56c5d57b748a7d5d059955de8558d1.png)
您最近一年使用:0次
2022-07-02更新
|
252次组卷
|
2卷引用:河南省安阳市2021-2022学年高一下学期期末数学试题
名校
解题方法
7 . 已知向量
,
,
,在复平面坐标系中,
为虚数单位,复数
对应的点为
.
(1)求
;
(2)若复数z满足
(
为
的共轭复数),且复数z对应的点为Z,求点Z与点
之间的最小距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f343234be4c489e646ca9efd1b4f1ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea96ad5a75c634d526f72fbaafe934ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73facd047a31ed0c86be66676deb1746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953513c9fe6a7a3ece9a537e53fce15f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
(2)若复数z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d830e74fa920946f2f95ff9de4896b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ffa08ed6ed096422af6ff471c569c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
您最近一年使用:0次
解题方法
8 . 已知向量
,在复平面坐标系中,i为虚数单位.复数
对应的点为
,
(1)求
;
(2)若点Z为曲线
(
为
的共轭复数)上的动点,求Z与
之间距离的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ff771289c505e1686827aca8fae5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1a646c9995c40001ace6e4e80ebe88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
(2)若点Z为曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d830e74fa920946f2f95ff9de4896b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ffa08ed6ed096422af6ff471c569c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
您最近一年使用:0次
解题方法
9 . 已知复数
,
(1)若复数
满足
,求
;
(2)若
,
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7799795b2cc6b934a5f2ef73cb698f3.png)
(1)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64602b34c41c50a7bbf180da866c465f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3cdfcf0897d533f20a59962d0d6b2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb89bcc2ca38aa3f73548613c4c4e596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c0b378736d7ea1be90c2a019bf79f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de615f3219e881d46acef2423d83ae9c.png)
您最近一年使用:0次
10 . 已知复数z1=
+i,z2=![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c30ab250c09e643aa15fe5ef2c76a8c.png)
(1)求|z1|及|z2|并比较大小;
(2)设
,满足条件|z2|≤|z|≤|z1|的点Z的轨迹是什么图形?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c30ab250c09e643aa15fe5ef2c76a8c.png)
(1)求|z1|及|z2|并比较大小;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d175d567e6efc90f1aca387c2e21a47.png)
您最近一年使用:0次
2022-04-14更新
|
212次组卷
|
5卷引用:陕西省延安市黄陵中学高新部2019-2020学年高二上学期期末考试数学(理)试题
陕西省延安市黄陵中学高新部2019-2020学年高二上学期期末考试数学(理)试题(已下线)7.1.2复数的几何意义-【师说智慧课堂】课后作业(人教A版2019)(已下线)复数专题:复数几何意义求模的最值范围问题-【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)(已下线)高一下学期期中复习解答题压轴题十八大题型专练(2)-举一反三系列(人教A版2019必修第二册)(已下线)高一下学期期末复习解答题压轴题二十四大题型专练(1)-举一反三系列(人教A版2019必修第二册)