MELBOURNE — Serena Williams matched one of Margaret Court’s records at the Australian Open Wednesday as she advanced to the third round with a 6-1, 6-2 win over Vesna Dolonc.
Williams improved her record to 60-8 at Melbourne Park, equaling Court’s 60 match wins in the Open era at the Australian championship.
Court, who won seven of her 11 Australian titles before the Open era began in 1968, has a show court named in her honor adjacent to Rod Laver Arena.
Two fans held up a sign on Wednesday saying center court was ‘‘Serena’s Arena.’’
She walked into the stadium wearing a fitted pink blazer, despite the heat which topped 104 degrees during the 63-minute match.
Williams fended off the only break point she faced against the No. 104-ranked Dolonc with an ace in the sixth game of the second set.
Despite having trouble at times on her ball toss when she was looking into the sun, the 17-time major winner fired 10 aces, won 85 percent of points when she got her first serve in and hit 24 winners, sticking to the strategy for a hot day as she extended her winning streak to 24 matches.
‘‘I just try to hit a bunch of aces and a bunch of winners — that’s all you can do because it’s too hot to get into long rallies,’’ she said.
Li Na completed back-to-back wins over the two youngest players in the draw to reach the third round.
The 2011 French Open champion, a two-time finalist at Melbourne Park, raced through the first set against 16-year-old Belinda Bencic in 22 minutes, conceding just 10 points. She had to work harder in the second before winning, 6-0, 7-6 (5).
Li, from Wuhan, one of the three ‘‘Stove Cities’’ in central China renowned for hot temperatures, turns 32 next month. In the first round, she dropped just two games as she accounted for 16-year-old Ana Konjuh, the youngest player in the tournament. Bencic and Konjuh each won two of the four junior majors in 2013.
‘‘It’s warm, but it’s OK,’’ Li said.
She'll next meet No. 26 Lucie Safarova, who beat Czech qualifier Lucie Hradecka, 6-7 (4), 6-3, 6-0.
Temperatures topped 108 degrees Tuesday, and there were a total of nine retirements in the first round, equaling a Grand Slam record. The forecast is for the heat wave to continue until Friday, with daily maximums above 104.
The players are finding ways to cope, using ice vests and wet towels in the changeovers. In Wednesday’s first match on Margaret Court Arena, the heat rule went into effect allowing No. 15-seeded Sabine Lisicki and Monica Niculescu a 10-minute break after the second set.
Niculescu returned to win, 2-6, 6-2, 6-2, and will next play No. 22 Ekaterina Makarova, who followed up her first-round win over Venus Williams with a 6-2, 7-5 victory over American Irina Falconi.
Mona Barthel had a 4-6, 6-3, 6-4 win over Luksika Kumkhum, who upset 2011 Wimbledon champion Petra Kvitova in the first round.
Seventh-seeded Tomas Berdych became the first man into the third round with a 6-4, 6-1, 6-3 win Wednesday over Kenny de Schepper of France.
Berdych took advantage of five of his eight break-point opportunities while maintaining a 13-0 record on his serve. He set up his first match point with a deft half-volley at the net, then clinched it on the next when de Schepper hit a forehand long.
Novak Djokovic stayed on track for a fourth consecutive Aussie title with a 6-0, 6-4, 6-4 win Wednesday over Leonardo Mayer of Argentina.
Advancing to the third round with his 26th consecutive match win, Djokovic had a brief scare while serving at 3-0 in the first set when he turned over on his left ankle, tumbling to the court.
But it wasn’t serious enough for him to warrant medical attention during the next break in play and he took the opening set in just 22 minutes, conceding just eight points.