谁能相信,数学知识竞有助于人们玩台球游戏?给出一张长与宽之比为整数的台球桌,一个球从一个角落以45°角被击出,在桌子边缘回弹若干次后,最终必将落人角落的一个球袋.回弹的次数跟台球桌长与宽的最简整数比m:n有关,到达一个角落前的回弹次数,可由以下公式给出:m+n-2. Who can believe that mathematical knowledge can help people play billiard games? Give a billiard table in which the ratio of length to width is an integer. A ball is shot at a 45 ° angle from one corner and springs back several times at the edge of the table The final number will fall into the corner of a bag.The number of rebound with the billiard table length and width of the simplest than the number of m: n, before reaching a corner of the number of rebounds can be given by the following formula: m + n-2.