AB是直径,∠ACB=90°,∠BAC=30° ,BC=ABsin30°=5√3,AC=ABcos30=5, S△ABC=25√3/2。DE=8,设备:EB=y,BC=CD=x,Rt△ABC∽Rt△DBE ,x/AB=y/2x,4x^2+y^2=DE^2=64,x=2√5,y=4,作CH∥AB,CH=1/2*EB=2,交DE于H。△FCH∽△FAE CH/AE=HF/FE,FE=3。
解: