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函数几何综合问题是近年来各地中考试题中引人注目的新题型.这类试题,将几何问题与函数知识有机地结合起来,重在考查学生的创新思维及灵活运用函数、几何的有关知识,通过分析、综合、概括和逻辑推理来解决数学综合问题的能力.下面以中考试题为例,对此作一归类解析,供参考. 一、几何元素间的函数关系问题 这类问题以几何图形为依托,研究几何元素间的函数关系问题.它的求解步骤一般是:
The problem of function geometry synthesis is a new topic type that has attracted attention in recent years. This kind of questions combines the geometric problems and function knowledge organically, focusing on students’ innovative thinking and flexible use of knowledge about functions and geometry. , Through analysis, synthesis, generalization and logical reasoning to solve the ability of mathematics synthesis problems. The following take the exam questions as an example, for this classification analysis, for reference. First, the relationship between geometric elements of the function of the problem of this type of geometry Relies on graphics to study the functional relationships between geometric elements. Its solution steps are generally: