做AG垂直BC,AGB为3-4-5直角三角形,AG= 4,
FEC-BDE-AGB为相似直角三角形
设BD= x,则BE=5x/3,DE = 4x/3,CE = 6 - 5x/3,FE = 4/3 CE = 4/3 (6-5x/3) = 8 - 20x/9
FE = DE,4x/3 = 8 - 20x/9,x = 9/4
CE = 6 - 5/3 * 9/4 = 6 - 15/4 = 9/4
做AG垂直BC,AGB为3-4-5直角三角形,AG= 4,
FEC-BDE-AGB为相似直角三角形
设BD= x,则BE=5x/3,DE = 4x/3,CE = 6 - 5x/3,FE = 4/3 CE = 4/3 (6-5x/3) = 8 - 20x/9
FE = DE,4x/3 = 8 - 20x/9,x = 9/4
CE = 6 - 5/3 * 9/4 = 6 - 15/4 = 9/4