Wycombe stay fifth thanks to first half goals from Leon Knight and Scott McGleish.
Yet Wrexham had Wycombe hanging on at the end after Mike Proctor pulled a goal back and then came within inches of grabbing a last minute equaliser.
Paul Hall's shot looked to be going in before a deflection off man of the match Dave McCracken saw the ball go inches over the Chairboys' crossbar.
Wrexham were their own worse enemies in the first half and Wycombe could have had a bigger lead going into the break.
As it was they had to settle for Knight's 14th minute strike – a spectacular effort from 25 yards after a poor clearance by Gavin Ward.
Six minutes later and a poor headed back pass attempt by Carl Tremarco gifted McGleish his 22nd goal of the season.
Wrexham finally worked an attack on goal approaching the half hour mark but it was a brief rest before McGleish hit the crossbar, a chance which should have produced Wycombe's third.
It was all change after the break as Wrexham made some swift substitutions and Proctor deservedly pulled a goal back eight minutes into the second half following poor defending from a free-kick.
Tommy Doherty had been booked for a foul just a minute earlier and should have had no complaints when he was shown a second yellow and sent off for a clumsy trip on Chris Llewellyn with 11 minutes to go.
There were four minutes of added time played as Wrexham tried again to find an equaliser but Wycombe keeper Frank Fielding proved to be unbeatable.