初一数学题,谢谢各位帮忙解答!

1.1\2-[-(+1\6)-(+1\12)]+[-(-1\20)+1\30]-[(-1\42)+1\56]
本人只知道这么写:
=1×1\2+1\2×1\3+1\3×1\4+1\4×1\5+1\5×1\6-1\7×1\8
然后就不知道了。。。本人水平有限那~~~~~~~初学生呀!!!!~~~~

2.在1、2、3、……、50前添加“+”或“-”,并求它们的和,所得结果的最小非负数是多少?请列式解答。

谢谢各位大侠啦!!!!~~~本人感激不尽的说!~

1.原式=1×1\2+1\2×1\3+1\3×1\4+1\4×1\5+1\5×1\6-1\7×1\8
=1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7-1/7+1/8
=1/2+1/2-1/7-1/7+1/8
=1-2/7+1/8
=5/7+1/8
=47/56=7/8

2.-1+2+(3-4-5+6)+(7-8-9-10)+...+(47-48-49-50)=1

绝对正确的,放心吧!如果有什么不懂的还可以问我O(∩_∩)O哈!
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第1个回答  2010-07-28
我很想帮你算算看,可我对着屏幕发了半天呆也没看懂你写了些什么,茫然ing~~
第2个回答  2010-07-28
原式=1×1\2+1\2×1\3+1\3×1\4+1\4×1\5+1\5×1\6-1\7×1\8
=1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7-1/7+1/8
=1/2+1/2-1/7-1/7+1/8
=1-2/7+1/8
=5/7+1/8
=47/56=7/8

2.-1+2+(3-4-5+6)+(7-8-9-10)+...+(47-48-49-50)=1
第3个回答  2010-07-28
解原式=1×1\2+1\2×1\3+1\3×1\4+1\4×1\5+1\5×1\6-1\7×1\8
=1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7-1/7+1/8
=1/2+1/2-1/7-1/7+1/8
=1-2/7+1/8
=5/7+1/8
=7/8

-1+2+(3-4-5+6)+(7-8-9-10)+...+(47-48-49-50)=1
就是这个样子,我也是初一的,呵呵,这题做过!~