YLL討論網

由 **J+W** 於星期五十月 06, 2006 8:13 pm

#ed_op#DIV#ed_cl##ed_op#SPAN id=mainbody#ed_cl# #ed_op#P#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#今天我的一個學生居然拿射鵰英雄傳來問我數學！他問了我兩題，#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#(1)√55525=? (2)34012224得正立方根=?　第１題我很快就想到了，第２題就花了點時間才想到速算法。後來我在網路上找到了小說內容。#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl# #ed_op#SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl# #ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#HR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#只見當前一張長桌，上面放著七盞油燈，排成天罡北斗之形。地下蹲著一個頭髮花白的#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#女子，身披麻衫，凝目瞧著地下一根根的無數竹片，顯然正自潛心思索，雖聽得有人進來，#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#卻不擡頭。郭靖輕輕將黃蓉放在一張椅上，燈光下見她臉色憔悴，全無血色，心中甚是憐#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#惜，欲待開口討碗湯水，但見那老婦全神貫注，生怕打斷了她的思路，一時不敢開口。黃蓉#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#坐了片刻，精神稍複，見地下那些竹片都是長約四寸，闊約二分，知是計數用的運算元。再看#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl# #ed_op#P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#那些運算元排成商、實、法、借算四行，暗點運算元數目，知她正在計算#ed_op#SPAN style="COLOR: red"#ed_cl#五萬五千二百二十五的#ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="COLOR: red; FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#平方根#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#，這時“商”位上已記算到二百三十，但見那老婦撥弄運算元，正待算那第三位元數位。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl# #ed_op#P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#黃蓉脫口道：“五！#ed_op#SPAN style="COLOR: blue"#ed_cl#二百三十五#ed_op#/SPAN#ed_cl#！”那老婦吃了一驚，擡起頭來，一雙眸子精光閃閃，向黃#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#蓉怒目而視，隨即又低頭撥弄運算元。這一擡頭，郭、黃二人見她容色清麗，不過四十左右年#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#紀，想是思慮過度，是以鬢邊早見華髮。那女子搬弄了一會，果然算出是“五”，擡頭又向#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#黃蓉望了一眼，臉上驚訝的神色迅即消去，又見怒容，似乎是說：“原來是個小姑娘。你不#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#過湊巧猜中，何足爲奇？別在這裏打擾我的正事。”順手將“二百三十五”五字記在紙上，#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#又計下一道算題。這次是求#ed_op#SPAN style="COLOR: red"#ed_cl#三千四百零一萬二千二百二十四的立方根#ed_op#/SPAN#ed_cl#，她剛將運算元排爲商、#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#實、方法、廉法、隅、下法六行，算到一個“三”，黃蓉輕輕道：“#ed_op#SPAN style="COLOR: blue"#ed_cl#三百二十四#ed_op#/SPAN#ed_cl#。”那女子#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New mso-font-kerning: 1.0pt; mso-bidi-font-family: mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA?#ed_cl#“哼”了一聲，哪里肯信？布算良久，約一盞茶時分，方始算出，果然是#ed_op#SPAN style="COLOR: blue"#ed_cl#三百二十四#ed_op#/SPAN#ed_cl#。#ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#HR#ed_cl##ed_op#P#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl#上面的文章是射鵰英雄傳裡的一個段子，關於小說裡面的瑛姑的籌算方法，台大數學系教授黃敏晃先生已有詳細的文章說明。#ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#A href="http://www.ytlee.org.tw/publish/find/menu_show.asp?period=33#4"#ed_cl#http://www.ytlee.org.tw/publish/find/menu_show.asp?period=33#4#ed_op#/A#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl#我相信更多人想知道的應該是黃蓉到底是怎麼樣算的，為何會那麼快吧！其實這裡面是有訣竅的。#ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl# #ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#IMG hspace=0 src="http://img.photobucket.com/albums/v411/tiw/yll-061005-01.gif" align=baseline border=0#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#/DIV#ed_cl#

YLL討論網

發表回覆

+ / -檢視主題

[數學]金庸數學算題（１）

(請將產生的程式碼，剪貼至上方文章區！)
[quote="J+W"]#ed_op#DIV#ed_cl##ed_op#SPAN id=mainbody#ed_cl# #ed_op#P#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#今天我的一個學生居然拿射鵰英雄傳來問我數學！他問了我兩題，#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#(1)√55525=? (2)34012224得正立方根=?　第１題我很快就想到了，第２題就花了點時間才想到速算法。後來我在網路上找到了小說內容。#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl# #ed_op#SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl# #ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#HR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#只見當前一張長桌，上面放著七盞油燈，排成天罡北斗之形。地下蹲著一個頭髮花白的#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#女子，身披麻衫，凝目瞧著地下一根根的無數竹片，顯然正自潛心思索，雖聽得有人進來，#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#卻不擡頭。郭靖輕輕將黃蓉放在一張椅上，燈光下見她臉色憔悴，全無血色，心中甚是憐#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#惜，欲待開口討碗湯水，但見那老婦全神貫注，生怕打斷了她的思路，一時不敢開口。黃蓉#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#坐了片刻，精神稍複，見地下那些竹片都是長約四寸，闊約二分，知是計數用的運算元。再看#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl# #ed_op#P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#那些運算元排成商、實、法、借算四行，暗點運算元數目，知她正在計算#ed_op#SPAN style="COLOR: red"#ed_cl#五萬五千二百二十五的#ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="COLOR: red; FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#平方根#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#，這時“商”位上已記算到二百三十，但見那老婦撥弄運算元，正待算那第三位元數位。#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl# #ed_op#P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#黃蓉脫口道：“五！#ed_op#SPAN style="COLOR: blue"#ed_cl#二百三十五#ed_op#/SPAN#ed_cl#！”那老婦吃了一驚，擡起頭來，一雙眸子精光閃閃，向黃#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#蓉怒目而視，隨即又低頭撥弄運算元。這一擡頭，郭、黃二人見她容色清麗，不過四十左右年#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#紀，想是思慮過度，是以鬢邊早見華髮。那女子搬弄了一會，果然算出是“五”，擡頭又向#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#黃蓉望了一眼，臉上驚訝的神色迅即消去，又見怒容，似乎是說：“原來是個小姑娘。你不#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#過湊巧猜中，何足爲奇？別在這裏打擾我的正事。”順手將“二百三十五”五字記在紙上，#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#又計下一道算題。這次是求#ed_op#SPAN style="COLOR: red"#ed_cl#三千四百零一萬二千二百二十四的立方根#ed_op#/SPAN#ed_cl#，她剛將運算元排爲商、#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New Roman??#ed_cl#實、方法、廉法、隅、下法六行，算到一個“三”，黃蓉輕輕道：“#ed_op#SPAN style="COLOR: blue"#ed_cl#三百二十四#ed_op#/SPAN#ed_cl#。”那女子#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: " Times Roman?; mso-hansi-font-family: ?Times New mso-font-kerning: 1.0pt; mso-bidi-font-family: mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA?#ed_cl#“哼”了一聲，哪里肯信？布算良久，約一盞茶時分，方始算出，果然是#ed_op#SPAN style="COLOR: blue"#ed_cl#三百二十四#ed_op#/SPAN#ed_cl#。#ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#HR#ed_cl##ed_op#P#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl#上面的文章是射鵰英雄傳裡的一個段子，關於小說裡面的瑛姑的籌算方法，台大數學系教授黃敏晃先生已有詳細的文章說明。#ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#A href="http://www.ytlee.org.tw/publish/find/menu_show.asp?period=33#4"#ed_cl#http://www.ytlee.org.tw/publish/find/menu_show.asp?period=33#4#ed_op#/A#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl#我相信更多人想知道的應該是黃蓉到底是怎麼樣算的，為何會那麼快吧！其實這裡面是有訣竅的。#ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl# #ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#IMG hspace=0 src="http://img.photobucket.com/albums/v411/tiw/yll-061005-01.gif" align=baseline border=0#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#/DIV#ed_cl# [/quote]