The streak was the third-longest in the country, and Delaware State had not lost at home since a setback to Rhode Island on Jan. 2, 2003.
Coppin is 4-0 in the Mid-Eastern Athletic Conference for the first time since the 1995-96 season and only the second time in 20 years in the league.
Tucker was 7-for-17 from the field and had four rebounds.
The Lady Eagles took the largest lead of the game by either team, 28-18, on a jumper by Strickland late in the first half. They led 34-25 at halftime.
Delaware State (4-6, 0-2) cut the lead to one on Endea Mathis' two free throws midway through the second half, but never could pull ahead.
Strickland also had five assists, and Talia Sutton added nine points, nine rebounds and four assists. LaKesha Wills had nine rebounds.
Raquel Collier came off the bench to score a game-high 22 points for Delaware State, going 10 of 12, but her teammates were 10 of 38.
Navy 59, Lafayette 46: The Midshipmen (5-8) used a late 8-0 run to break open a one-point game, then converted five of six free throws down the stretch to beat the visiting Leopards (2-10) in the Patriot League opener for both.
Navy's Carly Meyer had 14 points and 10 rebounds, and Abi Campbell added 11 points and 10 rebounds.
Hartford 56, UMBC 39: Sharri Rohde finished as the only player in double figures for the visiting Retrievers (5-6, 0-2 America East), with team highs of 14 points and five rebounds in their loss to the Hawks (8-3, 2-0).
Frostburg 75, La Roche 49: Tracey Little and Amanda Hernandez each scored 15 points for the Bobcats (7-3, 4-0 Allegheny Mountain Collegiate Conference) in their victory over the visiting Redhawks (2-7, 2-2).
UMES 71, Florida A&M; 68: Kristi Veltkamp scored 16 points and Toni Kennedy and Ashley Chase each scored 14 to lead the Lady Hawks (3-8, 2-1 MEAC) over the host Lady Rattlers (4-8, 2-2).
Johns Hopkins 59, Bryn Mawr 28: Freshman Andrea Dodrill posted career highs of 12 points and eight rebounds for the host Blue Jays (9-2, 5-0 Centennial Conference) in their victory over the Owls (0-11, 0-6).
Goucher 64, Neumann 55: Emily Ramsay, who missed the season's first eight games with an injury, had 12 points and 14 rebounds in her first start for the Gophers (1-9), who avoided their first 0-10 start since the 1988-89 season by beating the host Knights (1-8).
Villa Julie 55, Brooklyn 42: Tanisha Foster had 14 points and 10 rebounds to lead the host Mustangs (4-5) over the Bridges (6-4) in the first round of the Legg Mason Winter Classic.
McDaniel 96, Haverford 47: The Green Terror (9-2) won its 16th straight at home with the victory over the Fords (3-6). Katy Powell finished with a career-high seven assists, plus nine points and two steals. Kristy Costa led the way with 15 points in 15 minutes.
King's 75, Salisbury 51: Kat Kordal had 14 points and eight rebounds as the Sea Gulls (8-2) lost to to the Lady Monarchs (11-1) in the championship game of the Lady Monarch Classic.