Redick scored a season-high 22 points and hit six 3s, and freshman Luol Deng added 18 points to lead the Blue Devils past Davidson 88-54.
Shelden Williams added 14 points and six blocked shots for the Blue Devils (9-1), who pushed their home winning streak to a national-best 33 games. Duke was 11-of-27 from behind the 3-point arc, including 9-for-16 in the second half, and shot 51 percent for the game.
The 11 3s were a season-high for the Blue Devils, who have won six straight games since a 78-68 loss to Purdue in the Great Alaska Shootout on Nov. 29.
"I think this whole month since we got back from Alaska, we've just been a better offensive team," coach Mike Krzyzewski said. "... When we do have a break, we're not going nuts on the break trying to get (the score) on the first pass. We're showing more maturity. As a result, we have better shots."
Ian Johnson scored 14 points to lead the Wildcats (4-7), who have lost 17 straight games against Duke. Davidson shot 34 percent and had 22 turnovers, leading to 37 points for the Blue Devils.
The win improved Krzyzewski's record at Duke to 599-176, putting him one away from becoming the 13th coach in Division I history with 600 victories at one school.
Last season, Davidson played well against Duke, trailing by just six points with 1:06 to play before falling 95-80. The Blue Devils allowed no repeat Monday, scoring 19 straight points to open the second half in their final tuneup before opening Atlantic Coast Conference play at Clemson on Saturday.
Duke led 22-17 late in the first half before going on a 36-5 run. The Blue Devils put on one of their best shooting displays of the season, going 15-of-20 during the run.
Luol Deng (2) shoots over Davidson's Nick Booker for two of his 18 points.
Davidson, meanwhile, missed 12 of 13 shots as the game turned one-sided.
"They hit you with every aspect of the game, offensively and defensively," Davidson coach Bob McKillop said. "Every pass, every catch, every dribble is contested, challenged and made very difficult. That's why they're as good as they are."
Redick was shooting just 33 percent from behind the arc this year, down from 40 percent last season, but the sophomore went 6-for-10 from 3-point range Monday.
In his last two games, he has scored 42 points and hit 10 of 16 3-pointers.
"I've been getting good shots all year, it seems like," Redick said. "Just for a few weeks there, they didn't seem to be going in. But the last two games, they've been going in."
At one point early in the second half, he hit a 3 from the left wing off a feed from Chris Duhon , stole a pass at midcourt, then pulled up on the break and hit a straightaway 3 for a 49-22 lead. His 3-pointer from the right wing pushed the lead to 58-22 with 15:46 to play.
"His 3-point shots are momentum shots for us," said Duhon, who had 12 points, seven assists and four steals. "When he continues to knock down his shot, we go to a new level."
Deng fueled a first-half run that gave the Blue Devils some breathing room. With Duke leading by five, Deng took a feed from Duhon on the break and slammed it over Brendan Winters, knocking the guard to the ground.
Deng made a free throw to complete the three-point play that sparked a 12-2 spurt. Deng had eight points in the run, ending with his slam off an alley-oop pass from Duhon for a 34-19 lead with 3:13 left. His layup off a turnover near midcourt gave the Blue Devils a 39-22 halftime lead.