## 1 Introduction  
Jumping is considered an essential movement in basketball skills, because it not only enhances basketball performance, but also helps to strengthen the lower-limb muscles [1]. A successful basketball athlete fundamentally possesses vertical, lateral, and horizontal (backward) jumping abilities, which are crucial for basketball performance. Vertical jumping ability is utilized in rebounding, jump balls, dunking, step-forward jump shots, and leaning jump shots (also known as leaners). Lateral jumping ability is applied in dribbling side-to-side movements and lateral jump shots. Backward jumping ability is used in step-back jump shots.  
Basketball jump shots are directly related to basic jumping movements [2], which also indicates that lower-limb strength, flexibility, and coordination can help basketball athletes to quickly jump on the court [3]. Excellent leg strength allows for higher jumps, quick changes in direction, faster sprints, and better jumping and landing, enabling athletes to maintain smooth movement during dynamic actions [4]. However, for basketball athletes to develop excellent jumping ability, they must engage in lower-limb strength training, in order to activate the muscle power of the lower limbs to counteract ground reaction forces [5]. Additionally, the knees and ankles must handle lateral movements and rotations at different angles, allowing the lower limbs to maximize power output and enhance athletic performance [6]. Research shows that lower-limb injuries are the most common injuries among male and female college basketball players [7]. The most common lower-limb injuries are ankle ligament sprains and knee injuries [8]. The cause of these injuries is the stress from constant jumping, landing, and sudden changes in direction during games and practices. Research also indicates that structural knee joint injuries among basketball athletes are significantly associated with playing time, usage rate, and prolonged competition [9]. Therefore, incorporating lower-limb exercises into training programs is indispensable, as it helps to improve basketball athletes' jumping ability and prevent sports injuries [10].  
PT is a fast and explosive exercise that can effectively enhance muscle strength and power [11]. Research indicates that jumping ability can be linked to PT [12]. Many studies have shown that PT can significantly improve muscle strength, power, jumping performance, and overall athletic performance [13; 14; 15; 16; 17]. Additionally, evidence suggests that incorporating PT into basketball training can enhance the explosive power and vertical jump ability of players' lower limbs [18]. Furthermore, other studies have indicated that strength training following these regimens indeed helps in reducing injury rates [19], as increased muscle strength can enhance skeletal stability and reduce the risk of injuries caused by sports activities.  
Thanks to training interventions, it has been possible to identify the performance of vertical and lateral jumps. However, there are currently no studies that explain the differences between vertical, lateral, and horizontal jumps. The kinematic differences among these three types of jumps have not yet been evaluated. Further research is needed to better confirm these differences. Based on an analysis of the existing literature, the purpose of this study was to examine the impact of vertical, lateral, and horizontal jumping abilities on basketball jump shot performance, and to understand how glyometric training aids in injury prevention. The hypothesis of this study was that twelve weeks of PT could significantly enhance three types of jumping abilities, thereby improving jump shot performance and aiding in injury prevention.