[數學]幾何證明
由 skywalker 於 星期六 十二月 16, 2006 11:47 pm
#ed_op#DIV#ed_cl#1.#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#H為三角形ABC之垂心,AD垂直BC交圓ABC於D',M為BC中#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#點,HM交圓ABC於M',試用同一法證明DH=DD',HM=MM'#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#2.#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#試用同一法證明如果梯形兩底的和等於一腰長,那麼這腰同#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#兩底所夾的兩角的角平分線必過另一腰的中點#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#3.#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#O為銳角三角形ABC外心,AO,BO,CO分別交對邊、外接圓於#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#D、D'、E、E'、F、F',求證DD'/AD+EE'/BE+FF'/CF=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#