百度出来的,答案相等,,,有点看不懂,还有在问一下,复数的莫的平方和复数平方相等吗?
|(a+bi)^2|
=|a^2-b^2+2abi|
=[(a^2-b^2)^2+(2ab)^2]^(1/2)
=[(a^4+b^4-2a^2b^2)+4a^2b^2]^(1/2)
=[(a^2+b^2)^(2)]^(1/2)
=a^2+b^2
=|a+bi|^2
|(a+bi)^2|
=|a^2-b^2+2abi|
=[(a^2-b^2)^2+(2ab)^2]^(1/2)
=[(a^4+b^4-2a^2b^2)+4a^2b^2]^(1/2)
=[(a^2+b^2)^(2)]^(1/2)
=a^2+b^2
=|a+bi|^2