中文摘要：

在台球比赛中,如何提高目标球的落袋概率是一个最基本的问题.事实上,该问题等价于计算主球的最佳进攻路线问题,为此,给出了三点一线碰撞模型.由该模型衍生出的虚拟球训练法简单易行,同时适用于短距离和长距离进攻,能够快速提升初级台球选手的击球水平.

英文摘要：

In the competition of billiards,how to improve the pocketing probability of object ball is a basic issue which in fact,is equivalent to the problem about computing the optimal attack direction of the cue ball.To make it,we design the threepoints-one-line impact model.The virtual ball based training method,derived from the impact model,is simple and easy to be operated.This method is adaptive for both short and long distance attacks,can fast improve the technology of primary billiards players.