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近年来,全国各省市中考数学题中,探索性问题越来越受到重视.在2007年河南省中考题中,第13、20、23题均为此类题,共占23分.探索性问题可分为三类:结论探索型、存在探索型和条件探索型.结论探索型是根据所给条件通过类比、归纳、猜想、推理等方法得到结论,常执因索果;存在探索型是根据条件通过假设、推导得出结论或图形是否存在,常综合分析;条件探索型是根据结论经过计算、推理得出条件,常执果索因.
In recent years, among the mathematics examinations of various provinces and cities across the country, the exploratory issues have received more and more attention. In the 2007 Henan provincial examination questions, the 13th, 20th, and 23rd questions are all such questions, which together account for 23 points. Exploratory questions It can be divided into three categories: conclusion exploration type, existence exploration type, and conditional exploration type. The conclusion exploration type is based on the conditions given by analogy, induction, conjecture, reasoning and other methods to reach conclusions; Conditions through the assumptions, derivation of the conclusions or the existence of graphics, often comprehensive analysis; conditional exploration is based on the conclusions of the calculations, inferences to obtain the conditions, often with fruiting.