z是虚数,设z=a+bi,（a,b∈R,且b≠0）∴z+1/z=1∴a+bi+1/(a+bi)=1∴a+bi+(a-bi)/(a²+b²)=1∴a+a/(a²+b²)=1且b-b/(a²+b²)=0∴a²+b²=1,∴a=1/2∴b=±√3/2∴(z-1)/(z+...