已知点C是线段AB的黄金分割点,AC／AB＝根号5-1／2,求BC／AC,BC／AB的值

AC/AB=(√5-1)/2,BC=AB-AC
∴BC/AB=(AB-AC)/AB=1-AC/AB=1-[(√5-1)/2]=(3-√5)/2
BC/AC=(BC/AB)/(AC/AB)=[(3-√5)/2]/[(√5-1)/2]=(3-√5)/(√5-1)=(√5-1)/2