H是EF和AB的交点吗?
设CF于AE相交于G
∵CG⊥AE,∠ACE =90°
∴∠FCB = ∠CAE
∵FB//AC
∴∠ACE = ∠CBF
∵AC = BC
∴△ACE△CBF
∴CE = FB
∵E是CB的中点
∴EB =CE
∴EB = FB
∵FB⊥CB,∠ABC = 45°
∴AB是∠EBF的角平分线
∴AB⊥平分EF
∴EH = FH
H是EF和AB的交点吗?
设CF于AE相交于G
∵CG⊥AE,∠ACE =90°
∴∠FCB = ∠CAE
∵FB//AC
∴∠ACE = ∠CBF
∵AC = BC
∴△ACE△CBF
∴CE = FB
∵E是CB的中点
∴EB =CE
∴EB = FB
∵FB⊥CB,∠ABC = 45°
∴AB是∠EBF的角平分线
∴AB⊥平分EF
∴EH = FH