名校
1 . 已知复数
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
A.若![]() ![]() | B.![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知
,
,若复数
,则z的实部是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041544f35c9dd31e0441a33f9e944144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
A.1 | B.-2 | C.2 | D.i |
您最近一年使用:0次
名校
解题方法
3 . 已知复数
,
(1)求证:
;
(2)化简:
;
(3)若
是方程
的一个根,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed3a7e1ea06b2eb0061ad24605eb7fdd.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0377e5c91846b3a0e71f4cc03ca1c9c4.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf5260cb65d60c90a2b833bee113589.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa02320487aa599298f13c2cab97879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
您最近一年使用:0次
名校
4 . 已知在复平面内,复数
,
对应的点为
,
,若
对应的点位于第一象限,
的取值范围为( )
![](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/a20ae98eeea33ede70fb4769eb7f1f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8cef0b95df099a964237d6aa75a8966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dff9388eee5c812d183b254d13f461b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 复数
,i是虚数单位,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0180da76975d8a19f26649b13ba4529.png)
A.![]() | B.![]() |
C.z的虚部为2 | D.z在复平面内对应的点位于第一象限 |
您最近一年使用:0次
6 . 已知
为虚数单位若复数
,则
的虚部是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f112a2ea5742ebb91aa756e81490ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.1 | B.![]() | C.i | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知复数
满足
,
为虚单位,则复数
在复平面内对应的点在![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bbbe4f864e71126f995b460803762f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2638500ed689efadfcb7b61b7b54b717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bbbe4f864e71126f995b460803762f.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
您最近一年使用:0次
8 . 复数
的模长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f112c1f4ab01cfd429ec9e37eb0b29ac.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 已知复数z满足
,以下说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e2cf210f192dacdf302b7f3a30f7c6.png)
A.![]() |
B.![]() |
C.![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
10 . 已知复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c766c135a54c7ce3621180ce37d2dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71be989bdb57790472ed7f727c64702c.png)
A.2 | B.![]() | C.1 | D.0 |
您最近一年使用:0次