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z=1-i,则z-i分之5
(1)
z-i分之5
=z-5/i
=z-(5xi)/(ixi)
=z-(5i)/(-1)
=z+5i
=1-i+5i
=1+4i
(2)
(z-i)分之5
=5/(z-i)
=5/(1-i-i)
=5/(1-2i)
=5(1+2i)/[(1-2i)(1+2i)]
=5(1+2i)/[1²-(2i)²]
=5(1+2i)/[1-(-4)]
=5(1+2i)/[1+4]
=5(1+2i)/5
=1+2i
(1)
z-i分之5
=z-5/i
=z-(5xi)/(ixi)
=z-(5i)/(-1)
=z+5i
=1-i+5i
=1+4i
(2)
(z-i)分之5
=5/(z-i)
=5/(1-i-i)
=5/(1-2i)
=5(1+2i)/[(1-2i)(1+2i)]
=5(1+2i)/[1²-(2i)²]
=5(1+2i)/[1-(-4)]
=5(1+2i)/[1+4]
=5(1+2i)/5
=1+2i
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