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数学探究规律题是指发现数学对象所具有的规律性与不变性的问题.探究规律性问题的特点是问题的结论或条件不直接给出,而是给出一列数、一列等式、一列图形的前几个,然后通过我们去观察、分析、类比、归纳、猜想,找出其中的变化规律,从而猜想出一般性的结论.它体现了由特殊到一般的数学思想方法.解决探究规律题是让学生经历观察、分析、类比、归纳、猜想的过程,把潜在规律挖掘出来.它可以培养学生的探究和创新能力,也为高中学习数列打下一定的基础.
The law of mathematical inquiry refers to the problem of discovering the regularity and invariance of mathematical objects.The characteristic of the inquiry into the law of regularity is that the conclusion or condition of the question is not directly given but a series of numbers and a list of equations, , And then through our observation, analysis, analogy, induction, conjecture, to find out the law of variation, so as to guess the general conclusion.It embodies the special to the general method of mathematical thinking. Is to let students experience observation, analysis, analogy, induction, guess the process of digging out the potential law.It can cultivate students ability of inquiry and innovation, but also lay a solid foundation for high school learning sequence.