题目内容
已知ω=-
+
i,则1+ω+ω2=______.
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∵ω=-
+
i,
∴1+ω+ω2=1+(-
+
i)+(-
+
i)2
=
+
i-(
+
i)=0
故答案为:0
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∴1+ω+ω2=1+(-
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=
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故答案为:0
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