∵ABCD是正方形,AC是对角线∴∠BCA=45°作EF垂直AC ∵AE 是∠BAC角平分线∴∠BAE=∠FAE∵AB⊥BC,ET⊥AC,AE=AE∴△ABE全等于△AFE∴BE=EF,AB=AF∵∠EFC=90°∠ACB=45°∴∠FEC=45°∴EF=FC∴BE=FC∵AF+FC=AC且AB=AFBE=FC∴AC=AB+BE
如图,在正方形ABCD中,AC是对角线,AE平分∠BAC
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