几何最值具有其宏观性的特征,而几何最小值更具典型性,现借用几个示例探讨说明.一、常规最小值常见问题:在直线l上求作一点P到直线l外A、B两点距离的和有最小值.分两种情况:A、B两点分别在直线l的异侧和同侧.当A、B在l异侧时,如图1①中,由两点之间线段最短且连接两点的线段必过l,所以连接AB交l于点P, Geometry has its own macroscopic characteristics, and geometric minimums are more typical. Now, a few examples are used to explore the explanations. I. Conventional minimums Frequently asked questions: Find a point P on the straight line l to the straight line A, B The sum of two points has a minimum value. There are two cases: A and B are respectively on the opposite side and the same side of the straight line l. When A and B are on the opposite side of l, as shown in Figure 11, there are two points between The line segment that has the shortest segment and connects two points must pass through l, so the connection AB intersects at point P.