On January 21st, Beijing time, two matches of the women's singles quarter-finals at the Australian Open were concluded first. Sabalenka defeated Pavlyuchenkova 2-1, and Badosa eliminated Gauff 2-0. As a result, Sabalenka and Badosa met in the semi-finals, while the No. 3 seed Gauff was eliminated early, ending her 11-match winning streak across seasons. Gauff, the No. 3 seed, faced Badosa, the No. 11 seed. They had previously played six times, with each winning three matches. Before the match, Gauff was more favored to advance, having won nine consecutive matches at the start of the year and 13 consecutive matches across seasons. However, Badosa proved her strength in the match. In the first set, both players held serve for the first ten games, reaching a 5-5 tie. Then, in the eleventh game, Badosa achieved a crucial break, followed by holding serve in the twelfth game, winning the set 7-5. In the second set, there was a battle of breaks, with Badosa breaking three times and Gauff twice. The key break in the eighth game gave Badosa a 5-3 lead, which she maintained by holding serve in the tenth game, winning the set 6-4 and the match 2-0, surprisingly eliminating Gauff. Thus, Badosa became the first player to advance to the women's singles semi-finals at this year's Australian Open. She is also the fourth Spanish player in the Open Era to reach the semi-finals of a Grand Slam event and the first Spanish female player to do so in the last five years. Sabalenka, the No. 1 seed, faced Pavlyuchenkova, the…