已知
,
,方程
的一个根为
,复数
,满足
.
(1)求复数
;
(2)若
,求复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1146110d4382c714c10de00dd1273b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19ed90fa07e523db60031ab8d53e171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0bf9b2a7378e73e9fd06c693bfda07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fbf7104d754f64b30299b555a83b3f.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ffa08ed6ed096422af6ff471c569c2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f43d54608de610fcce86da7103d852a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
21-22高三上·湖北·阶段练习 查看更多[6]
湖北省九师联盟2021-2022学年高三上学期10月质量检测数学试题(已下线)考点56 数系的扩充与复数的引入-备战2022年高考数学典型试题解读与变式(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)新疆乌鲁木齐市第一中学2021-2022学年高一下学期期中考试数学试题专题5.1 复数的四则运算-2021-2022学年高一数学北师大版2019必修第二册湖南省永州市第一中学2022-2023学年高一下学期6月月考数学试题
更新时间:2021-10-10 20:01:34
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解题方法
【推荐1】已知
,设
:复数
(
是虚数单位)在复平面内对应的点在第二象限,
:复数
的模不超过
.
(1)当
为真命题时,求
的取值范围;
(2)若命题“
且
”为假命题,“
或
”为真命题,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4636d9e0e466b74f8365e5d8d69897ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e644900be14ffbc264cb4a23a3a76d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知
且
,
:复数
,
;
:不等式
对任意实数
恒成立.
(1)若
为真命题,求实数
的取值范围;
(2)如果“
”为真命题,且“
”为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db76e6c5783dc0f09bcbd2e766e0da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3eacd6f343b9784304449fe4fb25ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6cf0c51d6f6df04da18f448eb65faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)如果“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐3】实数m取什么值时,复数
是
(1)实数;
(2)模长等于2;
(3)在复平面对应的点落在直线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea53942fa126ed88b7ada278d463c98.png)
(1)实数;
(2)模长等于2;
(3)在复平面对应的点落在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
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【推荐1】已知复数z满足
,且z的虚部为-1,z在复平面内所对应的点在第四象限.
(1)求z;
(2)若z,
在复平面上对应的点分别为A,B,O为坐标原点,求∠OAB.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a689a27dc68879cdf7afb602d40bef.png)
(1)求z;
(2)若z,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ea3cc01ce7266cdf0fd73fd50d23c8.png)
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【推荐1】已知复数
是关于x的方程
的一个解.
(1)求a的值;
(2)若复数
满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95423c449f5d44dd949bf3b0130946f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb47b1d0c5d8a4abb6d10010345fddaf.png)
(1)求a的值;
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b869625f1c56e7ab3c270fa0a8abeb.png)
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【推荐2】已知
是复数,
(
为虚数单位)为实数,且
.
(1)求复数
;
(2)若复数
在复平面上对应的点在第四象限,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005f6a19fe7b2709a8447830ea0a024a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aad7e4f39a6f25229a2741c367094fb.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33071f35da5a319581f89355f68149bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】已知复数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc860fb964134138ab7b6419a04f6c.png)
(1)求
;
(2)若复数
的虚部为2,且
在复平面内对应的点位于第四象限,求复数
实部a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc860fb964134138ab7b6419a04f6c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d52e497aa7422819d873a7333891e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
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解题方法
【推荐2】已知复数
.
(1)求
及
;
(2)若
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,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b22a83e3ed80af561988e12b44ef62a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725d9a48b16d58ec12f8ba8ab345d77b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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