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在近几年各地的数学中考中,常常出现这样一类问题:某些代数式、函数式、方程、坐标或几何问题等,无论其中的字母或待定系数如何取值、图形位置如何变化、动点如何运动等,问题始终保持原有的性质、结论不变(即问题的性质、结论与字母或待定系数的取值、图形位置变化无关),不妨称之为“定论问题”.本文以中考试题为例,对其类型与求解策略作一阐述.
In recent mathematics examinations in various places, there have been such problems: some algebraic equations, functional equations, equations, coordinates or geometric problems, regardless of the letter or undetermined coefficient value, how the position of the graph changes, How to exercise and so on, the problem always maintains the original nature, the conclusion remains unchanged (ie, the nature of the problem, the conclusion and the value of the letter or undetermined coefficient, irrespective of changes in the position of the figure), may wish to call it “conclusive problem ”. As an example, the middle exam questions explain their types and solutions.