13-14高二下·山东济宁·期中
1 . 已知复数
与
都是纯虚数,求复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d89ff7b6e713835337923fd326476e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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14-15高二上·山东威海·期末
名校
2 . 已知命题
:复数
,复数
,
是虚数;命题
:关于
的方程
的两根之差的绝对值小于
;若
为真命题,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571542211371008/1571542216613888/STEM/105277de66c84b0a8035fac7347bf31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a46bd26f75e61b5413ebf0d4055bfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c045384af4b4c848658ba7a7878487f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571542211371008/1571542216613888/STEM/d3081e8785c945fbb8d70885f3ce6688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1202a0f3e2ffe982317a918029ca67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff8b7cd9cc0254768c35d2a23f631ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 设复数
,若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6865500350386478eeeff598f51461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd618074fd591591e4604b14bc9e2b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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2016-12-01更新
|
1812次组卷
|
9卷引用:2010-2011年浙江省嘉兴一中高二下学期期中考试数学理卷
(已下线)2010-2011年浙江省嘉兴一中高二下学期期中考试数学理卷(已下线)2011-2012学年山东省冠县一中高二下学期期中学分认定文科数学试卷(已下线)2011-2012学年广东省罗定市高二下学期期中质量检测理科数学试卷2016-2017学年安徽省池州市第一中学高二下学期期中考试数学(理)试卷安徽省太和中学2016-2017学年高二下学期期中考试数学(文)试题广东省揭阳市第三中学2016-2017学年高二数学理科复习检测试题高中数学人教A版选修2-2 综合复习与测试(6)高中数学人教A版选修2-2 综合复习与测试(3)河南省南阳市第一中学2017-2018学年高二下学期第二次月考数学(理)试题
11-12高二下·江苏扬州·期中
4 . 已知复数
是纯虚数.
(1)求
的值;
(2)若复数
,满足
,求
的最大值.
![](https://img.xkw.com/dksih/QBM/2013/5/17/1571215449235456/1571215454748672/STEM/867c8f6402984b738693cf5105815ce7.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2013/5/17/1571215449235456/1571215454748672/STEM/fe6785645b894dd7a027180f00b6ac10.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47da6e0c5bcf9f838b574ae4212312f4.png)
![](https://img.xkw.com/dksih/QBM/2013/5/17/1571215449235456/1571215454748672/STEM/d7ae960e38224b5a81f979c4c5c3e6e2.png)
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5 . .已知
是复数,
,
均为实数(
为虚数单位)且复数
在复平面上对应的点在第一象限,求复数
及实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/7/16/1570925734969344/1570925740630016/STEM/cd7071b96d76456ea1854c9b59fcacf2.png)
![](https://img.xkw.com/dksih/QBM/2012/7/16/1570925734969344/1570925740630016/STEM/fbf96f421f1049b3a3d71c540359132c.png)
![](https://img.xkw.com/dksih/QBM/2012/7/16/1570925734969344/1570925740630016/STEM/d7abfaaef344465e8163062003246088.png)
![](https://img.xkw.com/dksih/QBM/2012/7/16/1570925734969344/1570925740630016/STEM/5cecf9b443224071b7ee829f6245df0e.png)
![](https://img.xkw.com/dksih/QBM/2012/7/16/1570925734969344/1570925740630016/STEM/448778dae1ea4ea4a2d03a1bdcb0a260.png)
![](https://img.xkw.com/dksih/QBM/2012/7/16/1570925734969344/1570925740630016/STEM/cd7071b96d76456ea1854c9b59fcacf2.png)
![](https://img.xkw.com/dksih/QBM/2012/7/16/1570925734969344/1570925740630016/STEM/aa6199ee89714f61a2dad91a40dd509b.png)
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6 . 复平面内有A、B、C三点,点A对应复数是3+i,向量
对应复数是-2-4i,向量
表示的复数是-4-i,求B点对应复数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01adf0d0159e98cb1046f5aef71798fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431c8b143595051d9465017a26060b61.png)
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7 . 已知复数
,当实数
取什么值时,复数
是:
(1)零;
(2)虚数;
(3)纯虚数.
![](https://img.xkw.com/dksih/QBM/2012/6/12/1570883904446464/1570883909754880/STEM/9318c87e8fd04409896b585cd15ca0e0.png)
![](https://img.xkw.com/dksih/QBM/2012/6/12/1570883904446464/1570883909754880/STEM/2759f15b9cf64c1c872812fbf6c469a9.png)
![](https://img.xkw.com/dksih/QBM/2012/6/12/1570883904446464/1570883909754880/STEM/7bb29f14bc1249a985779fa052dae94e.png)
(1)零;
(2)虚数;
(3)纯虚数.
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8 . (1)实数
取何值时,复数
是纯虚数.
(2)已知复数z满足:
,求复数z.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe13f498b7aa2834c940c775613f1f7.png)
(2)已知复数z满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab4c0cebb6fcd64e3497047d4cfeff64.png)
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