12-13高二·全国·课后作业
1 . 设
,
为复数,则下列四个结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
A.若![]() ![]() |
B.![]() |
C.![]() |
D.![]() |
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2016-12-02更新
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5卷引用:陕西省西安市鄠邑区2021-2022学年高二下学期期中理科数学试题
2 .
为复数
的共轭复数,
为虚数单位,且
,则复数
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0426fedfb5128da090b06cf3361d67fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-04更新
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3卷引用:陕西省2017-2018学年高三教学质量检测数学(文)试题(一)
3 . 复数z满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd5fb98cccd73e9c0fbec889a3d5fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
A.i | B.![]() | C.![]() | D.![]() |
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4 . 设复数
(
为虚数单位),
的共轭复数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a727c7f7f739f9b85a6b2b88c178f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 设
是虚数单位,若复数
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2410a333493d17f18bacb498a68b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知
为虚数单位,若复数
的共轭复数在复平面内对应的点在第三象限,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ef036e81cda78b7a1a29a4ac63d1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知
,则复数
在复平面对应的点位于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6365611c717ff5ea1bd3bd1fcd9220e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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2017-12-26更新
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11-12高二下·安徽宿州·期中
8 . 下列命题中正确的是
(1)已知
,则
是
为纯虚数的充要条件;
(2)当
是非零实数时,
恒成立;
(3)复数
的实部和虚部都是
;
(4)设
的共轭复数为
,若
,则
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ccf432c34997f12e40f9a4af413075.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e756b3a02933a135991d61f07d77ad7.png)
(3)复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5995592e43162a41cf2ee6197673511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(4)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77697bd67c05edd399e296994c1d4b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d53aa3e4572de74b3f69cc05b3919d.png)
A.(1)(2) | B.(1)(3) | C.(2)(3) | D.(2)(4) |
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名校
9 . 若复数z=
的共轭复数是
=a+bi(a,b∈R),其中i为虚数单位,则点(a,b)为
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572464722821120/1572464728653824/STEM/e7bb297c7ed14eefbf73ae7c3686f297.png)
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572464722821120/1572464728653824/STEM/252da43e45e549d6952a079e144c2e1d.png)
A.(﹣1.2) | B.(﹣2,1) | C.(1,﹣2) | D.(2,﹣1) |
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名校
10 . 设复数z=-2+i (i是虚数单位),z的共轭复数为
,则|(1+z)·
|等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
A.![]() | B.2![]() | C.5![]() | D.![]() |
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