解答:解:如图,在Rt△ABC中,∠ACB=90°,AC=3,BC=4,根据勾股定理有:AB= AC2+BC2 = 32+42 =5,∵S△ABC= 1 2 AC?BC= 1 2 AB?CD,∴CD= AC?BC AB = 12 5 ,∴AB:CD=5: 12 5 =25:12.