f(z)=2z+z'-3i f(z'+i)=6-3i,则f(-z)=?z',z是复数!

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/14 08:21:05
f(z)=2z+z'-3i f(z'+i)=6-3i,则f(-z)=?z',z是复数!

f(z)=2z+z'-3i f(z'+i)=6-3i,则f(-z)=?z',z是复数!
f(z)=2z+z'-3i f(z'+i)=6-3i,则f(-z)=?
z',z是复数!

f(z)=2z+z'-3i f(z'+i)=6-3i,则f(-z)=?z',z是复数!
因为f(z)=2z+z'-3i,把z'+i代入有:f(z'+i)=2(z'+i)+z'-3i=3z'-i
又因为:f(z'+i)=6-3i.令z'=x+yi.x,y是实数,代入上式有:
3x+(3y-1)i=6-3i,所以x=2,y=-2/3,z'=2-(2/3)i
所以f(z)=2z+2-(2/3)i-3i=2z+2-(11/3)i
所以f(-z)=-2z+2-(11/3i)