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發表 mycartoon 於 星期三 二月 14, 2007 12:02 am

#ed_op#DIV#ed_cl##ed_op#IMG alt="image file name: 2k03093414b0.png" src="http://yll.loxa.edu.tw/phpBB2/richedit/upload/2k03093414b0.png" border=0#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#IMG alt="image file name: 2k22f520037c.png" src="http://yll.loxa.edu.tw/phpBB2/richedit/upload/2k22f520037c.png" border=0#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#嗚~~~我...太...慢...了...#ed_op#IMG src="http://yll.loxa.edu.tw/phpBB2/richedit/smileys/yy01.gif"#ed_cl##ed_op#/DIV#ed_cl#

發表 qeypour 於 星期二 二月 13, 2007 9:58 am

#ed_op#DIV#ed_cl#求1,2,3,...,9876之所有數字之各位數字和?#ed_op#/DIV#ed_cl#

發表 piny 於 星期一 二月 12, 2007 11:16 pm

#ed_op#DIV#ed_cl#45*60萬+1#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#STRONG#ed_cl##ed_op#FONT color=#c00000#ed_cl#yll:以上三人都是高手啊#ed_op#IMG src="http://yll.loxa.edu.tw/phpBB2/richedit/smileys//yy45.gif"#ed_cl##ed_op#/FONT#ed_cl##ed_op#/STRONG#ed_cl##ed_op#/DIV#ed_cl#

發表 qeypour 於 星期一 二月 12, 2007 10:55 pm

#ed_op#DIV#ed_cl#6萬*45+1=2700001#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#

發表 hammer 於 星期一 二月 12, 2007 10:49 pm

45*10^5+45*10^5+45*10^5+45*10^5+45*10^5+45*10^5+1就是答案啦
恩...算出來是27*10^6+1

[頭腦體操]從1到1000000這100萬個數的數字之和

發表 yll 於 星期一 二月 12, 2007 8:49 pm

#ed_op#DIV#ed_cl##ed_op#SPAN class=ArticleContent#ed_cl# 大家對德國大數學家高斯小時候的一個故事可能很熟悉了。 #ed_op#P#ed_cl##ed_op#FONT lang=ZH-CN face=細明體#ed_cl#  傳說他在十歲的時候,老師出了一個題目:#ed_op#/FONT#ed_cl#1+2+3+#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#……#ed_op#/FONT#ed_cl#+99+100#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#的和是多少?#ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#FONT lang=ZH-CN face=細明體#ed_cl#  老師剛把題目說完,小高斯就算出了答案:這#ed_op#/FONT#ed_cl#100#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#個數的和是#ed_op#/FONT#ed_cl#5050#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#。#ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#FONT lang=ZH-CN face=細明體#ed_cl#  原來,小高斯是這樣算的:依次把這#ed_op#/FONT#ed_cl#100#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#個數的頭和尾都加起來,即#ed_op#/FONT#ed_cl#1+100#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#,#ed_op#/FONT#ed_cl#2+99#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#,#ed_op#/FONT#ed_cl#3+98#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#,……,#ed_op#/FONT#ed_cl#50+51#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#,共#ed_op#/FONT#ed_cl#50#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#對,每對都是#ed_op#/FONT#ed_cl#101#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#,總和就是#ed_op#/FONT#ed_cl#101#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#×#ed_op#/FONT#ed_cl#50=5050#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#。#ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#FONT lang=ZH-CN face=細明體#ed_cl#  現在請你算一道題:從#ed_op#/FONT#ed_cl#1#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#到#ed_op#/FONT#ed_cl#1000000#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#這#ed_op#/FONT#ed_cl#100#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#萬個數的數字之和是多少?#ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#FONT lang=ZH-CN face=細明體#ed_cl#  #ed_op#STRONG#ed_cl##ed_op#FONT color=#bf5f00#ed_cl#注意:這裡說的「#ed_op#/FONT#ed_cl##ed_op#/STRONG#ed_cl##ed_op#/FONT#ed_cl##ed_op#STRONG#ed_cl##ed_op#FONT color=#bf5f00#ed_cl#100#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#萬個數的數字之和」,不是「這#ed_op#/FONT#ed_cl#100#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#萬個數之和」。例如,#ed_op#/FONT#ed_cl#1#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#2#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#3#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#4#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#5#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#6#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#7#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#8#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#9#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#10#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#11#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#、#ed_op#/FONT#ed_cl#12#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#這#ed_op#/FONT#ed_cl#12#ed_op#FONT lang=ZH-CN face=細明體#ed_cl#個數的數字之和就是#ed_op#/FONT#ed_cl#1+2+3+4+5+6+7+8+9+1+0+1+1+1+2=51#ed_op#/FONT#ed_cl##ed_op#/STRONG#ed_cl##ed_op#FONT lang=ZH-CN face=細明體#ed_cl#。#ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#FONT lang=ZH-CN face=細明體#ed_cl##ed_op#P#ed_cl#  請你先仔細想想小高斯用的方法,會對你算這道題有啟發。#ed_op#IMG src="http://yll.loxa.edu.tw/phpBB2/richedit/smileys//yy55.gif"#ed_cl##ed_op#B#ed_cl##ed_op#/B#ed_cl##ed_op#/P#ed_cl##ed_op#/FONT#ed_cl##ed_op#P#ed_cl##ed_op#/P#ed_cl##ed_op#/SPAN#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#