由z=(1+i)k 2 -(3+5i)k-2(2+3i)=(k 2 -3k-4)+(k 2 -5k-6)i,
(1)当k 2 -5k-6=0时,z∈R,即k=6或k=-1;
(2)当k 2 -5k-6≠0时,z是虚数,即k≠6且k≠-1;
(3)当
时,z是纯虚数,解得k=4;
(4)当
时,z=0,解得k=-1.
由z=(1+i)k 2 -(3+5i)k-2(2+3i)=(k 2 -3k-4)+(k 2 -5k-6)i,
(1)当k 2 -5k-6=0时,z∈R,即k=6或k=-1;
(2)当k 2 -5k-6≠0时,z是虚数,即k≠6且k≠-1;
(3)当
时,z是纯虚数,解得k=4;
(4)当
时,z=0,解得k=-1.