January was a month of transition for the Kings and a new world for Zach Randolph. The Kings began resting veterans on predetermined nights to give younger players more time on the court. Randolph, in his 17th season, was not accustomed to sitting out games while healthy. His production dipped last month, when he shot 39.9 percent and averaged 12.5 points in 10 games. Due to injuries, the Kings’ plan to focus more on youth has been put on hold, so Randolph has again been in the starting lineup regularly. His hot start carried the Kings to a 114-109 victory over the Dallas Mavericks on Tuesday night at American Airlines Center. Randolph scored 11 of his 22 points in the first quarter as the Kings (18-38) rolled to a 29-16 lead and finished the game with a season-high 30 assists in ending a two-game skid. Randolph shot 10 of 15 and had seven rebounds and three assists before sitting out the fourth quarter. He has scored in double figures in six consecutive games, a streak that started Jan. 30 at New Orleans, when he scored 26 points in a win. Playing regularly instead of the start-and-stop pace that comes with the scheduled rests has Randolph looking like the man who was the Kings’ most consistent player on offense.