几个基本几何不等式如下 :(1)两点间距离最短 ;(2 )三角形两边之和大于第三边 ,两边之差小于第三边 ;(3)点到直线的距离最短 .把这几个基本几何不等式运用到数学中的一些最值问题中 ,将使整个解题过程令人耳目一新 .例 1　如图 1,若 A(3,2 ) ,F为抛物线y2 =2 x的焦点 ,P为抛物 Several basic geometric inequalities are as follows: (1) The shortest distance between two points; (2) The sum of two sides of the triangle is greater than the third side, the difference between the two sides is smaller than the third side; (3) The distance from the point to the straight line is the shortest. Basic geometric inequalities applied to some of the most valued problems in mathematics will make the whole problem solving process refreshing. Example 1 If A(3,2) F is the focus of the parabola y2 = 2 x, P is Parabolic