1 . 下列命题:①若
,且
,则
为纯虚数;②
,则
且
;③
,则
或
;④
,则
;其中正确的命题有( )
![](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/4527f734987e0e00d5b8adca42b969de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cb45531be54c6d7f02de0c19e6f775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2695835f92683ba5df97d630362d9323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afae33365a8ae1103215ce5c15f0bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fb4f555f276487d6b5161432a267ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2695835f92683ba5df97d630362d9323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18b82d238c80bec3bd5996df66711e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e29a3e6d968622d192af63ae2f1fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7977d7239c13e044382d3bdc9ab015.png)
A.0个 | B.1个 | C.2个 | D.3个 |
您最近一年使用:0次
2 . 设
,若
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea77b7c1c49d58da6fbaf2890c65634a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2f9fbd4c335cac78f1d1bcfc8e1590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94be7c01c6b1654497eddd82c3b2314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a40e2b6c49f849119ad4a3f2e79530.png)
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3 . 若
,则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcf1476a549b276851eca53e10ebad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
您最近一年使用:0次
4 . 复平面上,
,
对应的点分别为
,
,已知
,且
,
是坐标原点,则在复平面内
是________ (锐角三角形、直角三角形、钝角三角形).
![](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/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7dd17f004c36fd824dea2c4ed8e401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093613ea9152eb78b80f82a05f169735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5927f1967a8f72e8fb887edb5023a921.png)
您最近一年使用:0次
2020-06-26更新
|
248次组卷
|
3卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第13章 复数 13.3(2) 复数的减法
5 . 在复平面上,如果
,
对应的复数分别是
,
,那么
对应的复数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64d59ac6538a0f4d79fb825e082081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e4b151e42177c22e74cb36f9988d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c267e2135e714e898767018a0327775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
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6 . 设复数
,
满足
,
,
,求
.
![](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/1e2f9fbd4c335cac78f1d1bcfc8e1590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc53efa0c7df310140f3b45071817507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9a9276dd89deb42570ffe692e4a12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a40e2b6c49f849119ad4a3f2e79530.png)
您最近一年使用:0次
解题方法
7 . 方程
有实数根,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9780942d576893d067daace48a49ec9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 设
,
,
,若
为纯虚数,则实数
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89cc3675177f45ee067b87fafecea00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd4ce204a0a55aa2f40f8008614412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.0 | C.1 | D.1或![]() |
您最近一年使用:0次
2020-06-25更新
|
719次组卷
|
7卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第13章 复数 13.3(1) 复数的加法
沪教版(上海) 高二第二学期 新高考辅导与训练 第13章 复数 13.3(1) 复数的加法(已下线)第18讲 复数全章复习(练习)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)(已下线)第3课时 课后 复数的加法、减法运算人教A版(2019) 必修第二册 实战演练 第七章 课时练习17 复数的加、减运算及其几何意义(已下线)专题61:复数-2023届高考数学一轮复习精讲精练(新高考专用)(已下线)7.2.1复数的加、减运算及其几何意义(精练)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)第七章 复数(知识通关)1
解题方法
9 . 对
个复数
,
,…,
,如果存在不全为零的实数
,
,…,
,使得等式
,则称复数
,
,…,
线性相关;反之,称为线性无关.那么复数
,
,
的关系为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](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/d9dc4e868a310c371ff88075d8a966a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbbf4d763f3cbe5a71707bc19c78191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9403c9a5066ddf8f0e975da9771eb3a.png)
![](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/d9dc4e868a310c371ff88075d8a966a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c190cb407ef962c1a9436cadb3ac8682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e315b2561e1f6a044f84dc33882fb7c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948bf8b7109972d89b5843a9224732ea.png)
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10 . 在复平面内,复数
,
分别对应点
,
的坐标,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe82a3f7f76832113ecf0e00803a589.png)
________ .
![](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/1362c0809439106817fa2572994bb8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ae286ae8a209bc659ace6354b79abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe82a3f7f76832113ecf0e00803a589.png)
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