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函数是初中数学的核心内容之一,也是每年中考的热点,每年的中考试题中都出现求函数关系类压轴题.这类题一般以几何图形为背景的图形上动点和其他定点构成特殊图形,或以图形运动为背景,动点、图形运动为媒介,把几何知识、代数知识紧密的联系成为一体,数形结合,题目灵活多变,动中有静,静中有动,技巧性和综合性较强,涉及的知识面广.解答此类题目对学生分析问题和解决问题的能力要求比较高,学生要综合运用初中阶段所学习的主要知识,如三角形、四边形以及全等、相似、方程、函数、解直角三角形等知识,此外还要运用数形结合、转化、方程、函数、分类讨论、数学建模等思想方法.
Function is one of the core content of junior high school mathematics, is also a hot spot in the annual test, the middle school exam questions appear each year in the function relation type finale problem.This kind of problem generally geometric motifs on the background and other fixed points on the graphics fixed point special graphics , Or to the graphic movement as the background, moving point, graphic movement as a medium, the geometric knowledge, algebraic knowledge of the close links into one, the combination of numbers, the subject is flexible, dynamic and static, static and dynamic, skill and Comprehensive, involving a wide range of knowledge. Answer to such questions on the students’ ability to analyze and solve problems is relatively high, students should comprehensively use the main knowledge learned in junior high school phase, such as triangles, quadrilaterals and congruent, similar, Equations, functions, trigonometric triangles and other knowledge, in addition to the use of digital form combination, transformation, equations, functions, classification discussion, mathematical modeling and other thinking methods.