探索性命题是高考数学中的热点、难点问题,由于具有较强的趣味性,较大的灵活性和较深的隐秘性,加之其问题背景新,解法灵活多变,故能很好地考查考生的各种思维能力,特别是运用知识、方法分析和解决问题的能力.纵览2005年数学高考试题,不难发现,今年高考探索性问题主要类型有:条 Exploratory proposition is a hot and difficult problem in college entrance examination mathematics. Due to its strong interest, greater flexibility and deeper privacy, coupled with its new background and flexible solution, it can be well examined. Candidates’ various thinking skills, especially the ability to use knowledge, methods of analysis and problem solving. Looking through the 2005 mathematics test questions, it is not difficult to find that the main types of exploratory questions for this year’s college entrance examination are: