名校
解题方法
1 . 已知
,
是方程
的两个根
(1)证明
;
(2)若复数
满足
,求
最小值.
![](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/48fc19c302085de8a90e2827c32f15e7.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4aeb9a1df0e6ead9059a333db2fa29.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c531f403adf796fe8350e2f419c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43e1543d6a2d6324ba2bcb51e79740f.png)
您最近一年使用:0次
名校
解题方法
2 . 在英语中,实数是Real Quantity,一般取Real的前两个字母“Re”表示一个复数的实部;虚数是Imaginary Quantity,一般取Imaginary的前两个字母“Im”表示一个复数的虚部.如:
.已知复数
是方程
的解.
(1)若
,求证
;
(2)若
,复数
且满足
,在复平面内
对应的点为
,当
取得最大值时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485391d2213215f1b645d77cb12e1651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8646eaa05bfde39d27813c301a076420.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b0e1c4446de1a064b9c11e96b288d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be05f2449cfe1fb871512e40199b151.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b34d58c444d285fe7ac7f6ca8d8bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db95214c54cc0785b910bcf465159555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e23f7a3a11395e3b7fc4c41f9d71e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6447fb3ff7619b7c9e77e728bb14d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
您最近一年使用:0次
3 . 求证:复平面内分别与复数
,
,
,
对应的四点
、
、
、
共圆.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976c188b072c749662aedf482193dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ea21aa74ff283755bc1bd8776e4c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21a888acc85d597e9d48ebd567a323d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97617d593b6560bf6d4295622af666bb.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/276bdeecec8e10c149c9653fa5f5facb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21182b66ef690257b06685aa16b42d42.png)
您最近一年使用:0次
2023-01-09更新
|
123次组卷
|
6卷引用:第15讲 复数的几何意义
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