若z=根号2/1-i,则z^100+z^50+1的值是A.1 B.-1C.-iD.i

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若z=根号2/1-i,则z^100+z^50+1的值是A.1B.-1C.-iD.i若z=根号2/1-i,则z^100+z^50+1的值是A.1B.-1C.-iD.i若z=根号2/1-i,则z^100+

若z=根号2/1-i,则z^100+z^50+1的值是A.1 B.-1C.-iD.i
若z=根号2/1-i,则z^100+z^50+1的值是
A.1
B.-1
C.-i
D.i

若z=根号2/1-i,则z^100+z^50+1的值是A.1 B.-1C.-iD.i
z²=i
z^100+z^50+1= i^50 + i^25 +1 = (-1)^25 + i^24 *i +1 = -1+ i +1=i
选D