文[1]对2012年北京大学保送生考试数学试题第5题进行了探究,得到了一些有趣结论,在该文的基础上,笔者进一步进行了探究,得到以下结论.定理1 l_1,l_2是双曲线C:x~2/a~2-y~2/b~2=1(a>0,b>0)的两条渐近线,在双曲线C上任取一点M,过点M的直线交l_1,l_2分别于P,Q两点,且M是线段PQ上靠近点P的n(n≥2,n∈N~*)等分点,则S_(△POQ)为定值n~2ab/4(n-1). The article [1] explores the fifth question of Peking University’s Pegasus math test questions in 2012, and draws some interesting conclusions. On the basis of the article, the author further explores and obtains the following conclusions: Theorem 1 l_1, l_2 is Hyperbolic C: two asymptote of x ~ 2 / a ~ 2 ~ y ~ 2 / b ~ 2 = 1 (a> 0, b> 0) Straight line intersection l_1, l_2, respectively, at P, Q two points, and M is the segment PQ close to the point P n (n≥2, n∈N ~ *) equal points, then S △ PQQ is fixed value n ~ 2ab / 4 (n-1).