如图,已知△DEO与△ABO是位似图形,△OEF与△OBC是位似图形.求证:OD•OC=OF•OA.

问题描述:

如图,已知△DEO与△ABO是位似图形,△OEF与△OBC是位似图形.求证:OD•OC=OF•OA.

∵△DEO与△ABO是位似图形,△OEF与△OBC是位似图形,

OD
OA
=
OF
OC

∴OD•OC=OF•OA.