∵点D为AC中点,∴DC= 1 2 AC,∵点E为BC中点,∴CE= 1 2 CB,∴DE=DC+CE= 1 2 AC+ 1 2 BC= 1 2 AB;(1)当线段AB=4cm时,DE= 1 2 ×4cm=2cm;(2)线段AB=6cm时,DE= 1 2 ×6cm=3cm;(3)线段AB=acm时,DE= 1 2 acm.