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1*3/1+2*4/1+3*5/1+4*6/1.+18*20/1怎么算?

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/12 11:44:04
1*3/1+2*4/1+3*5/1+4*6/1.+18*20/1怎么算?
1*3/1+2*4/1+3*5/1+4*6/1.+18*20/1怎么算?
1/1×3+1/3×5+1/5×7+……+1/17×19+1/2×4+1/4×6+1/6×8+……+1/18×20
=1/2×﹙1-1/3+1/3+1/5+……+11/17-1/19﹚+1/2×﹙1/2-1/4+1/4-1/6+……+1/18-1/20﹚
=1/2×﹙1-1/19﹚+1/2×﹙1/2-1/20﹚
=1/2×18/19+1/2×9/20
=1/2×﹙18/19+9/20﹚
=531/760.