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“最值问题中动点的确定”是初中数学中一类综合性很强的问题,在整个初中数学的学习中都存在最值问题,这类试题也是近几年中考的热点问题之一,它主要考查学生的探究能力和创新意识和运用所学数学知识解决实际问题的能力,对学生思维能力的要求很高.本文结合实例谈谈“最值问题中动点确定”的若干求解策略.一、利用轴对称确定动点通过轴对称,画出一个定点关于对称轴的对称点,把折线段变成直线段,由“两点之间线段最短”得线段和的最小值,从而确定此时的动点位置.
“Determination of the most value of the moving point ” is a comprehensive high school mathematics problem, there is the most value in the entire junior high school mathematics learning problems, such questions are also the hot issues in recent years First, it mainly examines students ’abilities to explore and innovate, as well as their ability to apply practical math to solve practical problems, and has a high demand on students’ thinking ability.This article talks about the problem of “determining the most value of moving points” A number of solution strategies.One, the use of axisymmetric to determine the moving point through the axisymmetric, draw a point on the symmetry axis symmetry point, the broken line into a straight line segment, by the Minimum, so as to determine the moving point position at this time.