最大角问题是实际生活中最常见的问题,也是高考和竞赛的热点.为此,本文介绍求解这类问题的一种方法,即首先给出一个定理,然后举例说明,供读者参考.定理设直线l1与直线l2相交于一点O,M,N是l2上的两点,P是直线l1上的点,∠MPN=α,∠MOP=β(定值),|OM||ON|=q(q0),|OM|+|ON|=p(p0) The largest angle problem is the most common problem in real life, and it is also a hot spot for the college entrance examination and competition. Therefore, this paper introduces a method for solving such problems, that is, first give a theorem, and then provide an example for the reader reference. Theorem Design The line l1 intersects the line l2 at a point O, M, N is two points on l2, P is a point on the line l1, ∠MPN=α, ∠MOP=β (setpoint), |OM||ON|=q (q0),|OM|+|ON|=p(p0)