∵茄塌EF⊥AB∴∠EFB=90°在△ABC和△EBF中∵∠ACB=∠EFB=90°,∠ABC=∠EBF∴∠A=∠BEF∵∠CGB=∠A∴圆纳逗∠CGB=∠BEF在△BCG和△BGE中∵∠CGB=∠BEF,∠GBE=∠橘卖CBG∴△BCG∽△BGE∴CG/EG=BG/BE∴CG*BE=EG*BG 得证