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1 . 已知复数eqId256c319357a74b30ba0dc282a5dfebcbeqIdff0e455f0e0444c9b0ba479e95400f1c),且eqIdfa8617caf3274fd3a7fc8520ab7e79bb为纯虚数(eqIdd97c066590474beb8b6a5abd6461c259eqId03848a3da7554cadba483391c0c31853的共轭复数).
(1)设复数eqId3b3fa599ec2b4d9cbd9015251438d77d,求eqIdc2377f07cebf412a8a74bf38ef04f658
(2)复数eqId4638533ac56042c89c38123805d54945在复平面对应的点在第一象限,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
单选题 | 较易(0.85) | 2021·江苏高一专题练习
解题方法
3 . 已知i是虚数单位,则eqId30f1153faa8646f8bc1957b7f3016a14(   )
A.eqIdbe4df80432a144c9995f1ffe9bd222ddB.eqId53c5278156ee493fb4a12309ae1f5f83C.eqIdfec9750ad7734b6daa961f9b44d3f387D.eqIdeb67aa3e493741afbe3ad95694ccaa5a
单选题 | 较易(0.85) | 2021·江苏
解题方法
4 . 复数eqId3d9efeed517f4db38fd4bf911af074e9的共轭复数在复平面内对应点坐标为(   )
A.eqId6633b0ff356d4f1eaa1634e99cd7073fB.eqId25e3cf48a8794aaaa89c4f353bcd40dfC.eqId6833bf52643a4a2d80ae6bf6741caa46D.eqId053922fc056348f5a297466332f44e8a
单选题 | 较易(0.85) | 2021·全国高三专题练习(理)
解题方法
更新:2021/05/07组卷:396
填空题 | 较易(0.85) | 2021·天津高三
解题方法
6 . eqIdb6e15e51d29a47a7aff44f98b1aafaee是虚数单位,复数eqIdeeeb4c16f6d14c8eb8050340c6026a67,则eqIdc9b3e5fa614043148ac9df7054646997___________.
7 . 设复数eqId03848a3da7554cadba483391c0c31853满足eqId42851de9ae0e434ab56f308837925167,求满足条件的复数eqId03848a3da7554cadba483391c0c31853在复平面上对应点所构成的图形面积.
单选题 | 一般(0.65) | 2021·上海
解题方法
同步
8 . 复平面内,向量eqId393817f804dc4fe2a483f4c09853a374对应复数的共轭复数为eqId698e76e9ba084d93b85923b9a766a360,则eqId393817f804dc4fe2a483f4c09853a374对应复数的幅角主值为(   )
A.eqId91d55776d6cf437f81a902892c795b5cB.eqId1f8348e400e54ddeb2a6241242e711b1C.eqIddbc5d4daf0b34c59bd9161f744881153D.eqIdf930a7cdc1294d03a4a23e13e916ba40
单选题 | 一般(0.65) | 2021·上海
解题方法
同步
9 . 已知eqId80e928d08e3d454cb1bd49441f85de2a,则eqId65a0ef717b104f44b8586dc561ede3e3的幅角主值为(   )
A.eqIddcbaf093655d4ad9850f9791f0b28523B.eqId9e7f9209cee04cdb9a06395310730b31C.eqId8acffb82da974874a6f5ab83a1306c95D.eqId98895e963e70483bb6f6870d976d1e8d
填空题 | 一般(0.65) | 2021·全国
解题方法
10 . 复平面上点eqId59da5f60b9864fc2bea275df955c4f3f对应着复数eqIdb07b31cf409b4ba8844961b0eb25aee9以及向量eqId9e0e4c2b31cd41a6baf5fe1d02eaae80,对于复数eqId9a4be366900d42b59ce69bd4b8a1104a,下列命题都成立;①eqId051e445b4e044063908d9fc9549fc1c2;②eqId1edaabd6adb744e3ae2f8124db6b0d23;③eqIdbc0e27013ba64316bd23a3fe0524c028;④eqIda488a594803c4980845dcaa42f6a60d2;⑤若非零复数eqId9a4be366900d42b59ce69bd4b8a1104a,满足eqIdfad5217f5afa41719e53f7c76db75e11,则eqIdefe7ef4584e7444187f4ca33c2778a29.则对于非零向量eqIdf45a317ae7b346428094bfe135d40415仍然成立的命题的所有序号是___________.