△ADE∽△ABC,△AEF∽△ACD,求证AD²=AF×AB

问题描述:

△ADE∽△ABC,△AEF∽△ACD,求证AD²=AF×AB

∵△ADE∽△ABC
∴AD/AB=AE/AC
∵△AEF∽△ACD
∴AE/AC=AF/AD=AD/AB
∴AD²=AF×AB