若复数z满足,z*z拔+(1-2i)*z+(1+2i)z拔
问题描述:
若复数z满足,z*z拔+(1-2i)*z+(1+2i)z拔
答
设z=a+bi,则:z拔=a-bi.则:z*z拔=(a+bi)(a-bi)=a²+b²(1-2i)z+(1+2i)z拔=(z+z拔)+2i(z拔-z)=2a+4b则:a²+b²+2a+4b≤3(a+1)²+(b+2)²≤8这个就说明点(a,b)是以(-1,...