由 Errfree 於 星期五 四月 28, 2006 3:03 pm
#ed_op#DIV#ed_cl#証明的方式很多種, 據下網頁, 多達 370 幾種.#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#形詭而量均•體殊而數齊- 隱藏了千餘年的勾股定理證明#ed_op#BR#ed_cl##ed_op#A href="http://book.tngs.tn.edu.tw/database/scientieic/content/1983/00090165/0012.htm"#ed_cl#http://book.tngs.tn.edu.tw/database/scientieic/content/1983/00090165/0012.htm#ed_op#/A#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#但我個人大多用這一種.#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#IMG alt="image file name: 2kd1a37ba915.png" src="http://yll.loxa.edu.tw/phpBB2/richedit/upload/2kd1a37ba915.png" border=0#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#"外圍正方形" 面積 = (a+b)#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl##ed_op#BR#ed_cl#"中間正方形" 面積 = c#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl##ed_op#BR#ed_cl#周邊的 4 個三角形面積 = 4 * ab/2 = 2ab#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#c#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# = (a+b)#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# - 2ab#ed_op#BR#ed_cl#c#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# = a#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# + 2ab + b#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# - 2ab#ed_op#BR#ed_cl#c#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# = a#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# + b#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl# #ed_op#/DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#