证明:连接BD∵∠ABD、∠ACD所对应圆弧都为劣弧AD∴∠ACD=∠ABD∵PD∥AC∴∠PDB=∠ACD∴∠PDB=∠ACD∵四边形ABCD风接于圆O∴∠DCP=∠DAC∴△ABD∽△CDP∴PC/CD=AD/AB∴PC*AB=AD*CD