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计算:12-22+32-42+52-62+…-1002+1012=______.
人气:136 ℃ 时间:2019-10-19 23:30:24
解答
12-22+32-42+52-62+…-1002+1012=,
=1+(32-22)+(52-42)+(1012-1002),
=1+(3+2)+(5+4)+(7+6)+…+(101+100),
=1+5+9+13+…+201,
=(1+201)×51÷2,
=5151;
故答案为:5151.
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