△ADE∽△ABC,△AEF∽△ACD,求证AD²=AF×AB
问题描述:
△ADE∽△ABC,△AEF∽△ACD,求证AD²=AF×AB
答
∵△ADE∽△ABC
∴AD/AB=AE/AC
∵△AEF∽△ACD
∴AE/AC=AF/AD=AD/AB
∴AD²=AF×AB