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探索性问题是指没有给出明确的结论,要我们去探索、研究的问题.由于方向不明,自由度大,能提高数学思维能力,其已成为近几年高考的热点.2003年全国高考数学(理)第21题,就是一个解析几何探索性问题. 解决探索性问题的方法是先假设研究的对象存在,然后执果索因,寻求结论成立的依据,或者找出结论不成立的理由.下面对解析几何探索性问题作粗浅的探讨.
The exploratory problem refers to the problem that we do not give a definite conclusion and we need to explore and study. Because the direction is not clear, the degree of freedom is large, and the ability of mathematics thinking can be improved. It has become a hot spot in the college entrance examination in recent years. The National College Entrance Examination Mathematics in 2003 (Theoretically) Question 21 is an analytical exploratory problem. The solution to the exploratory problem is to first hypothesize that the object of study exists, then implement the results, find the basis for the conclusion of the conclusion, or find out why the conclusion is not true. Faced with the analytical exploration of analytical geometry to make a shallow discussion.