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数学
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巧算:1x2+2x3+3x4+4x5+5x6+6x7...+8x9
人气:226 ℃ 时间:2020-01-27 17:39:18
解答
1×2+2×3+...+8×9 太长了,就不抄全了.=1×(1+1)+2×(2+1)+...+8×(8+1)=1²+2²+...+8²+1+2+...+8=8×9×17/6 +8×9/2=204+36=240利用公式:1+2+...+n=n(n+1)/21²+2²+...+n²=n(n+1)(2...
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