已知复数
,且
在复平面内对应的点在函数
的图象上.
(1)证明:
.
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffa78b3020bec9733b6f4d1c1171885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e235d7dd12f948f5ffb2e5afddc95612.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d8d7663d8c6f32639c8b5ad34a329.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
更新时间:2023-06-09 09:07:57
|
相似题推荐
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐1】已知
为虚数单位,复数
,且
为纯虚数.
(1)求
及
;
(2)若
,求
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e523ab335ea4592ef38a9819c88de9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601509ab8bab6d438ef4a165da89ba4b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4aa60684c76ac941f21afb2776c65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
解题方法
【推荐2】已知复数
的实部和虚部相等,其中
为虚数单位.
(1)求复数z的模;
(2)若复数
是纯虚数,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2734fe0224e31a78166b9e0c9be084fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)求复数z的模;
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f84f0e713c3468e8be3a0d3e1ca672.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐2】设
,
是
的共轭复数,若
和
均为实数,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b54286fe72b8305272c36c0a3a8d2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005f6a19fe7b2709a8447830ea0a024a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c32849bfd957f6f3bba6f29dfefc388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a12bc3883cec9c1513befb8f4ce4fc9.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐1】实数
分别取什么数值时,复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db318d49893af7f7ae56cfc60059d4ac.png)
(1)为纯虚数;
(2)对应点在第四象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db318d49893af7f7ae56cfc60059d4ac.png)
(1)为纯虚数;
(2)对应点在第四象限.
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐2】在复平面内,复数
对应的点的坐标为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f62004f00ae1e4b9f77df9e5bfc4e7.png)
,且
为纯虚数(
是z的共轭复数).
(1)求m的值;
(2)复数
在复平面对应的点在第一象限,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f62004f00ae1e4b9f77df9e5bfc4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce271fca2cfe209bc311fbe3080bafc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160b0638cf392d3073a89580e992a20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
(1)求m的值;
(2)复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4dd95efd7f87c60490d7874ac8e9ae.png)
您最近一年使用:0次