复数代数形式的加减运算及其几何意义1已知复数z134i,z234i,则z1z2等于()A8i B6C68i D68i解析:z1z2(34i)(34i)(33)(44)i6,故选B.答案:B2若复数z满足zi33i,则z等于()A0 B2iC6 D62i解析:zi33i,z(33)(ii)62i,故选D.答案:D3设O是原点,向量,对应的复数分别为23i,32i,那么向量对应的复数是_解析:(23i)(32i)55i,即对应的复数为55i.答案:55i4A,B分别是复数z1,z2在复平面上对应的两点,O为原点,若|z1z2|z1z2|,则AOB为_解析:由复数的加、减法的几何意义可知,当|z1z2|z1z2|时,AOB90.答案:直角三角形5计算:(1)(1i)(1i);(2)2i(32i)(13i)解:(1)(1i)(1i)(11)()i0;(2)2i(32i)(13i)2i(4i)43i.