20-21高一下·浙江·期末
1 . 已知复数
,
,且
.
(1)若
且
,求x的值;
(2)设
.
①求
的最小正周期和单调递增区间;
②已知当
时,
,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639f9c08c3af4b2b71a553b16f447407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff777502c9f5ae02cbdf7cebf9177cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de59a6da1ee210ccf04651ae53275dd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558e11d700481dc414d5d073b4b88a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c87874458fabe50aff5e19d586d5d94.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a49389cacef6b5b8c536eb8c51d087.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8b1535f227e0ec975578f0200fcba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f88070c5772370fef9c16727145641d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977dda0bf9457ccb54436f1121d2e35f.png)
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20-21高一下·浙江·期末
解题方法
2 . 下列命题正确的有( )
A.复数![]() ![]() |
B.复数z的共轭复数为![]() ![]() ![]() |
C.若![]() ![]() |
D.关于x的方程![]() |
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20-21高三下·浙江·期末
解题方法
3 . 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)
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名校
4 . 下列结论正确的为( )
A.正四棱柱中是长方体的一类 |
B.四面体最多有四个钝角三角形 |
C.若复数![]() ![]() ![]() ![]() |
D.若复数![]() ![]() ![]() ![]() |
您最近一年使用:0次
2021-07-19更新
|
353次组卷
|
2卷引用:浙江省宁波市镇海中学2020-2021学年高一下学期期末数学试题
名校
解题方法
5 . 若复数
满足
,则
(
为虚数单位)的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f20b54369487406370c5940eda3e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a45d0a402e4710854d46a0af299c794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
您最近一年使用:0次
名校
6 . 已知i是虚数单位,a,
,设复数
,
,
,且
.
(1)若
为实数,求
;
(2)若复数
,
对应的向量分别是
,
(O为坐标原点),若O,A,B三点不共线,记
的面积为
,求
及其最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eadf8a54b61d7a1d665b54dc4eabc6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09089e4a9349c174afed865e46405c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82854993f716cd6eec9517e9fdbdec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2e594eccf04968ebdb3b042ac0f50a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
(2)若复数
![](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/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12cfce6bedc9e8962a4a8b9afce4d4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0511160875d61316303d53153caf6a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0511160875d61316303d53153caf6a63.png)
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2021-09-12更新
|
262次组卷
|
3卷引用:浙江省名校协作体2021-2022学年高二上学期开学考试数学试题
浙江省名校协作体2021-2022学年高二上学期开学考试数学试题浙江省温州第二高级中学2022-2023学年高二上学期10月学科素养测试数学试题(已下线)第七章 复数(选拔卷)-【单元测试】2021-2022学年高一数学尖子生选拔卷(人教A版2019必修第二册)
20-21高一下·浙江·期末
7 . 下列命题正确的是( )
A.用斜二测画法画水平放置的平面图形的直观图时,原来平行的线段仍然平行. |
B.有两个面互相平行,其余各面都是平行四边形的几何体一定是棱柱. |
C.若复数![]() ![]() ![]() ![]() ![]() ![]() |
D.若复数z的模为5,虚部为![]() ![]() |
您最近一年使用:0次
8 . 若
,则
是复数
为纯虚数的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956b26c48da7fe36d2d4b78ea434057b.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
您最近一年使用:0次
9-10高二下·吉林·期中
9 . 已知集合,
,
,
,则实数
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25696f6cc5e3b8870dbd81aad383cd95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb2b66dfc9d27feb45197bd58fd7caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f3ebc537a6ebde0f7a5dca7526220eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.4 | B.-1 | C.4或-1 | D.1或6 |
您最近一年使用:0次
2016-11-30更新
|
1235次组卷
|
5卷引用:【新东方】双师193高一下
(已下线)【新东方】双师193高一下5.1.1复数的概念同步练习-2020-2021学年高一下学期数学北师大版(2019)必修第二册(已下线)2010年吉林省实验中学高二下学期期中考试数学(文)人教A版(2019) 必修第二册 过关斩将 第七章 7.1 复数的概念 7.1.1 数系的扩充和复数的概念山东省淄博市第七中学2019-2020学年高一3月线上考试数学试题