The Wildcats (13-7, 8-1) shot 51.9 percent from the field (27 of 52), surpassing 50 percent for the second straight contest, to win their fourth consecutive game.
In the first half, Davidson shot a blistering 61.5 percent (16 of 26) compared to 21.4 percent for the Mountaineers (6 of 28) en route to a 45-23 lead at the break.
Tevin Baskin scored 12 of his 18 points from the free-throw line to lead Appalachian State (8-11, 4-4), which shot 30.2 percent from the field (16 of 53). The Mountaineers have dropped three of their past four contests.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.