解题方法
1 . 已知复数
为虚数单位.
(1)若
,求
的值;
(2)若
为实数,求
的值.
(3)若
在复平面上对应的点在第一象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ff41f873fe72e08da1a1a61c87a63c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1721fca487716a0b4d22b32f4aa7e2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1f7047ea1cf0262fc5edb04c51c973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 已知复数
.
(1)求
;
(2)若
,求
;
(3)若
,且
是纯虚数,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cefd2183e65b34b17596a5b47d959a3c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669eed29b31039edb9a630893a8c9606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd37af3c9b75c8d0752b33fdcb90fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26dd5edae8097274a8a4fd56bc1b4c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
为虚数单位,复数
.
(1)若
是纯虚数,求实数
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3cc459ebc0154d86f2b41fd96e698d.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/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473ce3f62c73ee02640ba611fca1bbbb.png)
您最近一年使用:0次
解题方法
4 . 已知复数
满足
,且
是纯虚数.
(1)求
及
;
(2)若
,求a和b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15928ab2347dca2ca88da76c3914c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1d272b852cbc8ff4a5abf9c3ce3fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b58b7ac7d409f383f8e304e2a469a93.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1245ed74a632317d3a0a106aa9d02eaf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5a434ef0df25d35f9657673194a9d2.png)
您最近一年使用:0次
2023-07-10更新
|
237次组卷
|
3卷引用:北京市通州区2022-2023学年高一下学期期末质量检测数学试题
北京市通州区2022-2023学年高一下学期期末质量检测数学试题(已下线)专题03 复数5种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题11复数(第二部分)-高一下学期名校期末好题汇编
名校
5 . 已知复数
,
为虚数单位.
(1)若
,求
的值;
(2)若
为实数,求
的值;
(3)若
是关于
的实系数方程
的一个复数根,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fa2d0c04a4a3ee3560a81f5e517d4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1721fca487716a0b4d22b32f4aa7e2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59125f53697dc823d2eddacefc2b54b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07e31bcc30c13193200774102eca8e2.png)
您最近一年使用:0次
2023-06-19更新
|
312次组卷
|
3卷引用:北京市大兴区2022-2023学年高一下学期期中考试数学试题
解题方法
6 . 已知
,i是虚数单位,复数
与
互为共轭复数.
(1)求a,b的值,并指出复平面内
对应的点所在的象限;
(2)计算
,
,
;
(3)当实数
取什么值时,复数
是下列数?
①实数;②虚数;③纯虚数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88847fdaec216ddd8b5e3c73991b1af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c484d60171548d3b143f4d664b1c9c1c.png)
(1)求a,b的值,并指出复平面内
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e68c6f7d541058db7d84c9b8cc46b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
(3)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02684e895179e428a12199fec9b000cf.png)
①实数;②虚数;③纯虚数.
您最近一年使用:0次
解题方法
7 . 已知复数
.
(1)求
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccfb46fd41684d36ee32e67e6fa53e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1365b24c8c9eb050e3c8b802237dfe09.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c0cde5d58c14db987fcc5401d5fc80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
您最近一年使用:0次
解题方法
8 . 在复平面内,
是坐标原点,向量
,
对应的复数分别为
,
.
(1)求
的最小值;
(2)若
,求实数
的值;
(3)若复数
对应的点在第一象限,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/28e8b708288bd3a38942055519a57708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2fe82fe32d7aa87476f95a6cbd5451.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87e8cdf5716e8c4aa29de4d4bd6d7b6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffedcc164f9acdba26046264c4456aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d52e497aa7422819d873a7333891e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-07-08更新
|
430次组卷
|
7卷引用:北京市丰台区2021-2022学年高一下学期期末练习数学试题
北京市丰台区2021-2022学年高一下学期期末练习数学试题(已下线)专题03 复数5种常考题型归类-《期末真题分类汇编》(北京专用)(已下线)模块三 专题5 大题分类练(复数)拔高能力练(人教A)(已下线)模块三 专题6(复数)拔高能力练(北师大版)(已下线)模块三 专题7大题分类练(复数)拔高能力练(苏教版)(已下线)第七章 复数(基础、典型、易错、压轴)分类专项训练(2)河南省洛阳市第四高级中学2022-2023学年高一下学期5月月考数学试题
9 . 已知复数
(
是虚数单位).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/9d19999b-71a1-4dda-97ef-d4aa556724eb.png?resizew=143)
(1)求
;
(2)如图,复数
,
在复平面上的对应点分别是
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc933d8e17ad3edfe04a3d4a2d0716d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/9d19999b-71a1-4dda-97ef-d4aa556724eb.png?resizew=143)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1949e0d7aa192287587f352d520c874e.png)
(2)如图,复数
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc86608ae70105291c38604cfd405c7.png)
您最近一年使用:0次
10 . 如图,在复平面内,复数
对应的点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/bb76ae69-8c2d-43a9-8bfb-2851ecadc2a4.png?resizew=215)
(1)写出复数
及
的值;
(2)若
,求
,并在复平面内标出
对应的点B.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/bb76ae69-8c2d-43a9-8bfb-2851ecadc2a4.png?resizew=215)
(1)写出复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed1b01b90a33e2a0e3e25ed11708610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
您最近一年使用:0次
2021-11-11更新
|
171次组卷
|
2卷引用:北京市房山区2021-2022学年高二上学期期中学业水平调研数学试题