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近年来,各地各类考试中有关最值问题频频出现,此类问题形式多样,解题方法灵活多变,许多同学在遇到此类问题时,感到无从下手,找不到适当的切入点,导致思维受阻.笔者基于自己的教学实践,谈谈如何活用图形变换,巧解最值问题,以期对同学们有所帮助.一、巧用轴对称例1(1)观察发现如图1,若点A、B在直线m同侧,在直线m上找一点P,使AP+BP的值最小.做法如下:
In recent years, various examinations in different places have frequently appeared the most valuable questions. Various forms of such questions are diverse and the methods for solving problems are flexible. Many students feel that they are unable to get started when they encounter such problems and can not find suitable entry points. Resulting in disrupted thinking.The author based on his own teaching practice, talk about how to make use of graphic transformation, clever solution of the most value problems, in the hope that it will be helpful to the students.First, the use of axisymmetric 1 (1) observed that as shown in Figure 1, if Point A, B in the same side of the straight line m, find a point in the straight line m, so that AP + BP minimum value.