Jake Taylor opened the scoring in the 29th minute with the first goal of his loan spell from Reading, crashing a shot inside Jordan Archer's near post after receiving a headed pass from right-back Sido Jombati.
Jeff Goulding nodded in a second just three minutes later after a fine Jombati cross from the right, before Darryl Duffy clipped the top of the crossbar with a delicate chip and forced Archer into a smart save before half-time.
Taylor set up Duffy for the third in the 54th minute and only a fine reaction stop from Archer kept out a powerful volley from Darren Carter, with Cheltenham in complete control.
Wycombe had been on a five-match unbeaten streak but Carter had time to tee up Jermaine McGlashan for number four in the 69th minute, the winger touching in from almost on the goalline to round off third-placed Cheltenham's biggest win of the season so far.
