f(z)=2z+z的共轭-3i,f(z的共轭+i)=6-3i,试求f(-z)

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/07 03:40:19
f(z)=2z+z的共轭-3i,f(z的共轭+i)=6-3i,试求f(-z)
xN@_wm:#5­q.tcBR RAo*܊.x^739IL.r:OD]ୋ% ˹r^&v"u&f_#l_zP&YP4HqMsG`^$VZrNbADN}VDb8^ێyl qÄ$4(R,kX4LDԏO0N87>3 G0z >VIsEZO=5FaZ` tNJoAD1

f(z)=2z+z的共轭-3i,f(z的共轭+i)=6-3i,试求f(-z)
f(z)=2z+z的共轭-3i,f(z的共轭+i)=6-3i,试求f(-z)

f(z)=2z+z的共轭-3i,f(z的共轭+i)=6-3i,试求f(-z)
令 z=a+bi,(a,b∈R),则
f(z)=2(a+bi)+(a-bi)-3i=3a+(b-3)i
f(z的共轭+i)=f[a+(1-b)i]
=3a+(-b-2)i
=6-3i
∴ 3a=6,-b-2=-3
解得,a=2,b=1
∴ f(-z)=f(-2-i)=-6-4i
二十年教学经验,专业值得信赖!
敬请及时采纳,在右上角点击“评价”,然后就可以选择“满意,问题已经完美解决”了.