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若复数eqId2cd9e2fe3d6540df9399dbefe49ada54满足eqId7678a7592799419584dda242ceebc27d,则复数eqId2cd9e2fe3d6540df9399dbefe49ada54在复平面上所对应的图形是(   )
A.椭圆B.双曲线C.直线D.线段
更新:2019/12/6难度系数:0.65题型:填空题组卷:0次
已知eqIdea238897620d42bc85653b382c7535caeqId7678a7592799419584dda242ceebc27d,则eqId2cd9e2fe3d6540df9399dbefe49ada54对应的点eqId7fc4561966aa4ea2924541be8d21ddae的轨迹为(   )
A.椭圆B.双曲线C.抛物线D.线段
更新:2019/12/5难度系数:0.65题型:单选题组卷:31次
已知复数eqIde2a1a8bc6cd94a338a3da8bc09601076eqId05ea3c05e20345b1b1c06fd1ddb78be3,其中eqIdb6e15e51d29a47a7aff44f98b1aafaee为虚数单位,对于任意复数eqId2cd9e2fe3d6540df9399dbefe49ada54,有eqId98f14f5c114d414a8b9352a6c336a8cbeqId22f27f40ce1a46cd935df706587ad37b
(1)求eqId3a4208e0040c42ed8b09de2cae9d562e的值;
(2)若复数eqId2cd9e2fe3d6540df9399dbefe49ada54满足eqId13844348bf08438cbc64f4be6fd756c9,求eqIdc2377f07cebf412a8a74bf38ef04f658的取值范围;
(3)我们把上述关系式看作复平面上表示复数eqId2cd9e2fe3d6540df9399dbefe49ada54的点eqIdd7be5abad1e34f6db17a56660de8d54f和表示复数eqId4f3b088061b74b91800ceb300f29522b的点eqId75a143b898e14ccdb032561fba9da811之间的一个变换,问是否存在一条直线eqId417e80f1349244878d01fe90e0891f5f,若点eqIdd7be5abad1e34f6db17a56660de8d54f在直线eqId417e80f1349244878d01fe90e0891f5f上,则点eqId75a143b898e14ccdb032561fba9da811仍然在直线eqId417e80f1349244878d01fe90e0891f5f上?如果存在,求出直线eqId417e80f1349244878d01fe90e0891f5f的方程,否则,说明理由.
更新:2019/11/26难度系数:0.65题型:解答题组卷:20次
设非零复数eqId3efe335e8c5c42adb344ec9fcd2e10b4为复平面上一定点,eqId2c5e235d8a884c6aaf42671328640799为复平面上的动点,其轨迹方程eqId5018245841a34537a6504ea2dd95f1adeqId7fc4561966aa4ea2924541be8d21ddae为复平面上另一个动点满足eqIdcc5081fafcf44cb3982fbbc42c89eafb,则eqId7fc4561966aa4ea2924541be8d21ddae在复平面上的轨迹形状是(   )
A.焦距为eqId5091b007ee514ababadfa2d69a6c6992的双曲线B.以eqIdf3eb55a2e72b457c82c3c5cfc6bb2244为圆心,eqIde964d94c6d8145e1b578e1536b6580f7为半径的圆
C.一条直线D.以上都不对
更新:2019/11/26难度系数:0.85题型:单选题组卷:15次
对于给定的复数eqId56c40d29b45b4c1bb2e096285285e398,若满足eqId4fcee0e4222245eab9130fa4d7773ed6的复数eqId2cd9e2fe3d6540df9399dbefe49ada54对应的点的轨迹是椭圆,则eqIde00ee50f4bae49cf8f4fc253512dc832的取值范围是________
更新:2019/11/20难度系数:0.65题型:填空题组卷:46次
已知复数eqId79b7662fcc7f4f24bd12d53eb65e16e5eqId6f8cda271770473d97b20355722d03f1eqId30bb87c3252146748b8c61e7205511b8是虚数单位)的对应点eqId2cd9e2fe3d6540df9399dbefe49ada54在第四象限,且eqId3bd1cf0818ec4ac0ac5295b8a8b7e8b6,那么点eqIda733cd9df1394d929d03733bfeda55f8在平面上形成的区域面积等于____
更新:2019/11/19难度系数:0.65题型:填空题组卷:45次
已知实数eqId8e15963708e9415da25069fea5906e24eqId072d7d6b911b42bc89207e72515ebf5f满足条件eqId45c8f2be224b4f49ab8e55e54596d806,复数eqIdd98a93f3bb7c4e8fb93d45fe5769e65aeqIdb6e15e51d29a47a7aff44f98b1aafaee为虚数单位),则eqId2cfcb21d4a4e48fcbe31d55e582a863a的最小值是_______.
更新:2019/11/18难度系数:0.94题型:填空题组卷:28次
已知复数eqId2cd9e2fe3d6540df9399dbefe49ada54的模为1,则eqIdd742f1a48f9e4e5da320742f2e03106c的最大值为__________.
更新:2019/11/17难度系数:0.65题型:填空题组卷:69次
已知复数eqIdc006920ad3e94e2a9080b19afb4b8e89eqId6f8cda271770473d97b20355722d03f1)的模为eqIda2a0ce3781fa4c26b624f5966b7dee44,则eqIdc180d4d5cd20420e8319cd8a11d56c96的取值范围是________
更新:2019/11/15难度系数:0.85题型:填空题组卷:66次
下列关于复数eqId2cd9e2fe3d6540df9399dbefe49ada54的四个命题中,正确的个数是(   )
(1)若eqIddb152ac4a98d4698b09630f9b173d1ac,则复数eqId2cd9e2fe3d6540df9399dbefe49ada54对应的动点的轨迹是椭圆;
(2)若eqIdcd162f7b288745fdaf5e9d68d918feb2,则复数eqId2cd9e2fe3d6540df9399dbefe49ada54对应的动点的轨迹是双曲线;
(3)若eqIdbb912684c76d49f48c06f3f1b1fb7d6d,则复数eqId2cd9e2fe3d6540df9399dbefe49ada54对应的动点的轨迹是抛物线;
(4)若eqId37d168093dd7462f88523a76949124e8,则eqId0df13435d60b43c598782b0422a17d8c的取值范围是eqId2326546a2b964ad4a2d6814ff66da78b
A.4B.1C.2D.3
更新:2019/11/14难度系数:0.65题型:单选题组卷:40次
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