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计算:(1-2i)-(2-3i)十(3-4i)-(4-5i)+…+(2011-2012i)-(2012-2013i).
题目详情
计算:(1-2i)-(2-3i)十(3-4i)-(4-5i)+…+(2011-2012i)-(2012-2013i).
▼优质解答
答案和解析
(1-2i)-(2-3i)十(3-4i)-(4-5i)+…+(2011-2012i)-(2012-2013i).
=(1-2+3-4+…+2011-2012)-(2-3+4-5+…-2013)i
=-1006+1006i
=(1-2+3-4+…+2011-2012)-(2-3+4-5+…-2013)i
=-1006+1006i
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