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数学探索型问题,是高考数学试题中能力要求高,综合性、发散性以及开放性强,难度大、深度深的创新题型,常以压轴题的形式出现,具有条件不完整、结论不明确、策略灵活多样、解法不拘泥于常态等特点,对于开拓思路,提高思维品质,培养创新意识和实践探索能力大有裨益。一、存在探索型——假设存在,导出矛盾存在探索型问题主要是判断某一数学研究对象在一定条件下的存在性,并对其进行证明,其常见提问形式是“是否存在”“是否有”。在解答这一类数学问题时,
Mathematical exploration of mathematics, mathematics test questions in the ability to ask high, comprehensive, divergent and open, difficult, deep deep innovative problems, often in the form of finale questions, with the conditions are not complete, the conclusion is not clear , Flexible and diversified strategies, solutions are not rigidly adhere to the normal characteristics, for the development of ideas, improve the quality of thinking, develop innovative awareness and practical exploration of great benefit. First, the existence of exploration type - hypothesis exists, derive the existence of contradictions Exploration type problem is mainly to determine the existence of a mathematical research object under certain conditions, and to prove it, the common question form is “Whether there is ”. In solving this type of mathematical problem,