(1)证明:角B=角C, 角BAP+角APB = 120度, 角EPC+角APB=120度,所以角BAP=角EPC,则角APB = 角PEC三角形ABP相似于PCE(2)AB/PC = BP/CE4/PC = (7-PC)/3PC = 3 或 4BP = 4 或 3