Ionescu, a sophomore, is just one away from the Pac-12 career record of six, set by Nicole Powell (Stanford, 2001-04) and two shy of the NCAA mark of seven by Suzie McConnell (Penn State, 1985-88) and Louella Tomlinson (St. Mary's, California, 2008-11).
The Ducks (2-0) had three double-doubles in the game.
Oregon made 16 of 29 3-pointers (55 percent) and had 31 assists on 40 field goals.
Sara Rhine led Drake (1-1) with 14 points and Katie Van Scyoc added 11 points with three 3-pointers. The Bulldogs were outrebounded 49-20.