一、条件开放探索例1如图,在△ABC中,点D在AB上,点E在BC上,BD=BE,请你再添加一个条件,使得△BEA≌△BDC,并给予证明.你添加的条件是:.解:添加条件:BA=BC或∠AEB=∠COB或∠BAC=∠BCA或∠BCD=BAE等.证明:(以添加条件∠AEB=COB为例): First, the conditions for open exploration Example 1 As shown in the figure, in ABC, the point D in AB, the point E in BC, BD = BE, you add a condition, so △ BEA≌ △ BDC, and to prove that you The conditions of addition are: Solution: Adding conditions: BA = BC or ∠AEB = ∠COB or ∠BAC = ∠BCA or ∠BCD = BAE etc. Proof: (with the addition condition ∠AEB = COB as an example):