画出下列复数对应的向量,并把这些复数表示成三角形式:
(1)6; (2)1+i; (3)
; (4)
;
(1)6; (2)1+i; (3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5be9816bf41b7f029aaf77d204d9b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b42d8f2cfdff5b71651799c6ac5d17.png)
19-20高一下·全国·课后作业 查看更多[4]
人教A版(2019) 必修第二册 逆袭之路 第七章 7.3 复数的三角表示2(已下线)7.3 复数的三角表示(精练)-2020-2021学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)7.3 复数的三角表示人教A版(2019)必修第二册课本习题 习题7.3
更新时间:2020-02-01 12:54:36
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解答题-问答题
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解题方法
【推荐1】设复数
,试求
取何值时,
(1)
是实数;
(2)
是纯虚数;
(3)
对应的点位于复平面的第一象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e93b832f85786a5cff70f693090f6c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解答题-问答题
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(0.85)
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【推荐2】已知复数
,i为虚数单位,
.
(1)若
为纯虚数,求
的值;
(2)若在复平面上表示复数
的点位于第二象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122626f0b2b8b87413cc8209c2d770a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若在复平面上表示复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】计算下列各式,并作出几何解释:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6823081a3427ca838b427df79fe68260.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec51fa5ce6c9660321e0e3ff652c790.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1f9563d3b2b39f8054ca31eb9640f4.png)
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6823081a3427ca838b427df79fe68260.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec51fa5ce6c9660321e0e3ff652c790.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1f9563d3b2b39f8054ca31eb9640f4.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50306eab160231a5a9b08cfbfaa1a90b.png)
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