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有一类数学综合题,它以抛物线为背景,求三角形面积最大或周长最小值.此类问题由于综合性较强,对能力的要求也较高,着重考察学生综合应用数学的能力.细细分析,这类综合性强的题目经常是由一些常见的几何图形——基本图形构成的.如果平时能够注意积累,并对它们有所总结的话,解决此类问题并不困难.基本图形一如图1,直线l同侧有两点A、B,在直线l上找点P,使得PA+PB最短.解作点关于直线l的对称点A’,连A’B
There is a class of mathematical synthesis problems, which parabolic background, seeking the largest triangular area or the minimum circumference.These problems due to the comprehensive, the ability to higher requirements, focusing on students’ ability to apply mathematics. Analysis, such comprehensive topics are often composed of a number of common geometry - the basic graphics form.If you can usually pay attention to accumulation, and summarize them, to solve such problems is not difficult.As basic as Figure 1, the same line l has two points on the same side A, B, find a point in the straight line l P, PA + PB is the shortest point solution for the symmetry point on the line l A ’, with A’B