若复数
满足:
(
为虚数单位),复数
的虚部为
.
(1)求
的模长;
(2)求
的最小值及此时的复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be577c72f03ed36786161a6f0579089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a40e2b6c49f849119ad4a3f2e79530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
更新时间:2021-08-13 17:28:28
|
相似题推荐
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】已知复数z满足
,
的虚部是2,z对应的点A在第一象限,
(1)求z的值;
(2)若
在复平面上对应点分别为A,B,C,求cos∠ABC.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f32c241a1b97713333e7e8f0962503f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ea3cc01ce7266cdf0fd73fd50d23c8.png)
(1)求z的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4beff4026851b31aaeda0dde94f1a4da.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐2】已知复数
,(
为虚数单位,
)
(1)若复数
在复平面内对应的点位于第一、三象限的角平分线上,求实数
的值;
(2)当实数
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00bbe723971c032a36dc1163b6507ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af1a9118e3590fe13175abd494abac2.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐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
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐2】已知非零复数
;若
满足
.
(1)求
的值:
(2)若
所对应点
在圆
上,求
所对应的点的轨迹.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baae59c2bff974e09d6b2ebaab5836fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf807e1893eb4470dc776efd1136f8f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6db75cc3c2648070a988aecb18c9b3d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f143ca890a2e92f28a942cbad62781.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
|
适中
(0.65)
名校
解题方法
【推荐1】已知复数
,若存在实数
,使
成立.
(1)求
的值;
(2)求
的最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9403ef2d2466072a6a627812923e5026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7514395ad71f574a75870cb733a4805.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d974bddf56c9159bfc1116cc9a898b65.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】已知复数
,
为虚数单位.
(1)求
;
(2)若复数
的实部为1,
为实数.求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262bbc01093731afabbf8bdd8de015eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d861f3e91317a6d2098a5d9b7a97d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐3】已知复数
,其中a是实数.
(1)若在复平面内表示复数
的点位于第二象限,求a的取值范围;
(2)若
是纯虚数,a是正实数.
① 求a;
② 求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cb681468e47ca10c10269e930aedcc.png)
(1)若在复平面内表示复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
① 求a;
② 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ff8e93a460ff7ae892741f9a855620.png)
您最近一年使用:0次