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我们常会遇到一类二次函数与三角形相关联的综合问题.解决这类问题需要用到数形结合思想,把数与形结合起来,互相渗透.此类问题常涉及运用待定系数法求二次函数、一次函数的解析式,相似三角形的判定和性质,直角三角形、等腰三角形的判定.要注意的是,当相似三角形的对应边和对应角不明确,或者三角形的顶点不确定时,要分类讨论,以免漏解.本文通过梳理知识点,理清解题思路,从以下几个方面来分类例说这类问题的解题方法.
We often encounter a class of quadratic functions and triangles associated with the comprehensive problem.To solve this type of problem requires the use of numerical combination of ideology, the number and shape combine to penetrate each other.This type of problem often involves the use of undetermined coefficient method for two It is important to note that when the corresponding edges and corresponding angles of similar triangles are not clear or if the vertices of the triangles are not known, To classify the discussion, so as to avoid leakage.This paper sorts out the knowledge points to sort out the problem-solving ideas, from the following aspects to classify examples of such problem-solving methods.