YLL討論網

#ed_op#DIV#ed_cl#同樣用梯形的方式, AB = √[(a+b)#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl#- (a-b)#ed_op#SUP#ed_cl#2#ed_op#/SUP#ed_cl#] = 2√ab#ed_op#/DIV#ed_cl#

設兩圓直徑為2a及2b
可得AB長2√ab
又2a:2√ab=2√ab:2b
証畢

#ed_op#DIV#ed_cl##ed_op#IMG alt="image file name: 2k132ada9cdf.gif" src="http://yll.loxa.edu.tw/phpBB2/richedit/upload/2k132ada9cdf.gif" border=0#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#半徑為#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#R#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#的☉#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#O#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#與半徑為#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#r#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#的☉#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#O1#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#外切於#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#P#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#點，一條直線切☉#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#O#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#於#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#A#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#，切☉#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#O1#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#於#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#B，#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#求證:#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 新細明體; mso-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#AB#ed_op#/SPAN#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-bidi-font-family: 新細明體; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#是兩圓直徑的比例中項。#ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#