1 . 下列四个命题:
①复数
在复平面中对应的点在第二象限
②已知幂函数
为偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba24ca9648a13438daa6da7a10073163.png)
③若函数
定义域为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9105339cc1da9c8e712a0afc4747515e.png)
④
,
恒成立
其中真命题的序号是______ .(把真命题的序号都填上)
①复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac81f6bc59de6ce74ee249bcbbe29dd.png)
②已知幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb7ed9690c65a9fbfe0441af5f0b26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba24ca9648a13438daa6da7a10073163.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04baf30346c2980f1c9627e1f86f60b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9105339cc1da9c8e712a0afc4747515e.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e57d1396a1ed81be204e6e1863d0c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fcb77b3bdf39c6c3b6081c8663a6aa.png)
其中真命题的序号是
您最近一年使用:0次
名校
2 . 已知复数列
满足:
,
,设复数
在复平面中对应点
.当
无限增大时,点
越来越趋近于一个确定的点
,点
的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078c417ea54a5065c1f72941b9e4b0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c916fd7ddb4e800d98b15ce54c4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2103a934a70ceb3f67525a1bfe9200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9dc4e868a310c371ff88075d8a966a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176f249595624605402d8cb1bcb4eae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176f249595624605402d8cb1bcb4eae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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3 . 设复数
,
,其中
,且复数
所对应的点都在复平面第一象限内
(1)若
,求实数
的值;
(2)设
所对应的向量为
,若
共线,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809611fd121b81127a63e28464d6cb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28298199ad2d9cdd9611aae07608a82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10613217fd433805b48ee695d9f0af49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a98c177bd8ccdbb5a7e956e5b81798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2eb65eca846b2bbe431cd456bc29dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fc838e1477179b36ca7481ee2cc1e8.png)
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2022-06-20更新
|
380次组卷
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4卷引用:吉林省长春市长春外国语学校2021-2022学年高一下学期期中数学试题
21-22高一·全国·课后作业
解题方法
4 . 设复数z=log2(m2-3m-3)+ilog2(m-2)(m∈R),对应的向量为
.
(1)若
的终点Z在虚轴上,求实数m的值及|
|;
(2)若
的终点Z在第二象限内,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
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解题方法
5 . 已知复数
在复平面内对应的点分别为
,
,
为坐标原点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.满足![]() ![]() |
D.满足![]() ![]() |
您最近一年使用:0次
2021-12-28更新
|
1110次组卷
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3卷引用:广东省2022届高三上学期一轮复习联考(四)数学试题
名校
6 . 定义:设非零复数z对应的点为M,角(0≤≤2)的顶点在原点,始边为x轴的正半轴,终边为射线OM,则称角为复数的幅角,记作=argz如图所示的阴影区域(含边界)所对应的集合是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/46172312-8af1-407d-a2f6-87b5c2b44c2e.png?resizew=170)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/46172312-8af1-407d-a2f6-87b5c2b44c2e.png?resizew=170)
A.{z||z|=1,![]() ![]() | B.{z||z|=1,Imz≥![]() |
C.{z||z|≤1,![]() ![]() | D.{z||z|≤1,Imz≥![]() |
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解题方法
7 . (1)计算
;
(2)设复数
.(其中
),若
是纯虚数,且
在复平面内对应的点在直线
上,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ea41a55f3efd976b38b297863f0287.png)
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829afd18b5b7de57ef9b49e0265a0cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f08fb0fd529af5bf8dc288f00702c5.png)
您最近一年使用:0次
2021-07-21更新
|
303次组卷
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2卷引用:江苏省镇江市扬中市第二高级中学2020-2021学年高一下学期期末模拟数学试题
20-21高三下·浙江·期末
解题方法
8 . 在复平面中原点为O,已知A对应的复数为
,点B对应的复数为
,
,点C对应的复数为
,且
,且B,C均在实轴上方,
(1)求
的取值范围;
(2)当
时,P是线段
上的动点,求
的取值范围;
(3)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f48d2b68f7480f35f9f2632564d1dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52bb069b71ff58af8b36823d1af6a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d2d17663db4e87a6bc187a43700924.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87e8cdf5716e8c4aa29de4d4bd6d7b6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223b6f16e1cdb3ab3d10905d7fa0a7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73de3a47976a9e064dd7e3091894acc0.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18c66c4e24d0475b2cd9ddc5e53540f.png)
您最近一年使用:0次
9 . 设复数
(
为虚数单位),则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4f5aa90390177a30d4d26886c62ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.“![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2021-05-06更新
|
752次组卷
|
3卷引用:江苏省淮安市2021届高三下学期4月第二次适应性考试数学试题
江苏省淮安市2021届高三下学期4月第二次适应性考试数学试题(已下线)考点39 章末检测六-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】江苏省泰州市泰兴市第一高级中学2022届高三下学期阶段测试二数学试题