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[數學]其妙的數142857
由 mycartoon 於 星期二 七月 31, 2007 12:11 am
#ed_op#DIV#ed_cl#142857×1=142857#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#142857×2=285714#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#142857×3=428571#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#142857×4=571428#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#142857×5=714285#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#142857×6=857142#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#DIV#ed_cl#142857×7=999999#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#這是在書上看到的#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#有什麼辦法可以解釋或證明這種現象呢??#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#FONT color=#407f00#ed_cl#書上的提示是：#ed_op#STRONG#ed_cl#1/7=0.#ed_op#U#ed_cl#142857#ed_op#/U#ed_cl##ed_op#/STRONG#ed_cl#循環#ed_op#/FONT#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl#