The last set became a lop-sided affair for Tianjin, which went on a 12-4 run to pull away and kept the advantage until the end.
That performance has put Athletic coach Gaizka Garitano under pressure and both he and Machin need wins to assure they are still in their jobs after the international break.
Guo Zixuan, who had joined Hebei from Shanxi during the offseason, finished with a game-high 26 points. Zhang Yaqi and Chen Jinting bagged 17 and 14 points respectively.
Eibar has just one point from four games and Jose Luis Mendilibar's team travels to Real Valladolid after seven days which has seen them lose home games to Athletic Bilbao and newly-promoted Elche.
"I can't get to sleep last night because I was so excited," The 43-year-old swimming fanatic said. "And I was not the only one - every one of our online group was awake late at night, cheering each other up for today's event."
The previous best for the No.7 seed in Paris was the semifinals in 2012 when she lost to eventual champion Maria Sharapova 6-3, 6-3.
Alessandro Florenzi, the only new face at the Parc des Princes this summer, scored his first goal for the club to open the scoring seven minutes into the game before Neymar hit twice in the 36th and 47th minute to make it 3-0.
Vanderlei Luxemburgo's men are now third in the 20-team Serie A standings, just two points behind leader Atletico Mineiro, who has a game in hand.
Another 10-0 surge into the second quarter extended Beijing's advantage to over 25 points. Daqing's loose defense provided Beijing many easy baskets in the paint, and the latter also found their range, going into the break with a 57-28 lead.
Shandong built a 17-7 lead at the beginning of the second set, while Tianjin found it difficult to erase the deficit.
CHENGDU, China, Oct. 7 (Xinhua) -- Jiangsu sailed past Shaanxi 89-69 here on Wednesday, starting the 2020-21 Women's Chinese Basketball Association (WCBA) campaign with a 3-0 record.