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20 10 Huanggang mathematics middle school exam questions answer quickly!
The length of DE is 1/2.

Extending AC, let QF pass Q and be perpendicular to AC, and let congruent triangles's judgment theorem be from angle A= angle QCF, angle PEA= angle QFC=90 degrees, and PA=QC. It is concluded that all triangles PEA are equal to triangle QFC, so AE = CFQF=PE, so all triangles PED are equal to triangle QFD, and ED = FD = ED+DC+CF = ED+DC+AE =1,so the length of DE is 1/2.