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發表 J+W 於 星期四 五月 04, 2006 5:37 pm

有兩位朋友先解了#ed_op#BR#ed_cl##ed_op#BR#ed_cl##ed_op#A href="http://www.mathland.idv.tw/talkover/memo.asp?srcid=19327&bname=ASP"#ed_cl#http://www.mathland.idv.tw/#ed_op#FONT color=#000000#ed_cl#talkover#ed_op#/FONT#ed_cl#/memo.asp?srcid=19327&bname=ASP#ed_op#/A#ed_cl# #ed_op#BR#ed_cl##ed_op#BR#ed_cl#整理如下:#ed_op#BR#ed_cl#∵∠BDE=19°,∠DBE=45°-19°=26°,#ed_op#BR#ed_cl#∴∠BED=180°-19°-26°=135°#ed_op#BR#ed_cl#而反角∠BCD=270°,所以B、E、D共圓,圓心在C#ed_op#BR#ed_cl#∴ 線段DC=線段EC=線段BC#ed_op#BR#ed_cl#△DCE及△ECB 為等腰三角形#ed_op#BR#ed_cl##ed_op#BR#ed_cl#又∠EDC=∠EDB+∠BDC#ed_op#BR#ed_cl#=19° +45°=64°#ed_op#BR#ed_cl##ed_op#BR#ed_cl#∠EDC=∠DEC=64° #ed_op#BR#ed_cl#∠DCE=180°-2(64°)=52° #ed_op#BR#ed_cl#左鍵: 點擊縮放; 右鍵: 觀看原圖 #ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#

發表 kai 於 星期四 五月 04, 2006 4:44 pm

#ed_op#DIV#ed_cl#顯然C為BED外心(用同一法)#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#180-19-45-19-45=52度#ed_op#/DIV#ed_cl#

[數學][轉貼]求角度---難題

發表 100 於 星期三 五月 03, 2006 10:11 pm

#ed_op#DIV#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#在正方形#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#ABCD#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#中,連#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#BD#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#E#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#為Δ#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#ABD#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#內一點,連#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#EB#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#、#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#EC#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#、#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#ED#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#,若∠#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#ABE#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#=∠#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#BDE#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#=#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#19#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#度,試求∠#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#DCE#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 新細明體; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'"#ed_cl#的度數。#ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#/DIV#ed_cl#