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专题精讲猜想验证是一种重要的数学思想方法.猜想验证问题给出的背景或条件是特定的,这些特定的背景或条件包括以下几个方面:有规律的数与式、等式,具有某种特征的图形、图表或流程图,特定的生活情景、数学问题等.一种情况是要求同学们从已知的个例中,通过观察、分析和比较,归纳出探究对象所具有一般规律或不变的结论,它能够揭示数学的本质,这些规律或结论可进一步指导我们解决相关的实际问题,它体现了“特殊→一般→特殊”的数学思想;另一种情况是要求同学们从一个问题的解题策
Speculation Proof of conjecture is an important mathematical method of conjecture. The background or conditions given by the conjecture verification problem are specific. These specific backgrounds or conditions include the following: regular numbers and equations, equations, A graph of a certain characteristic, a chart or flow chart, a specific life situation, a mathematical problem, etc. One situation requires the students to summarize the general law of the object of inquiry from the known examples through observation, analysis and comparison Or invariable conclusion, it can reveal the essence of mathematics, these rules or conclusions can further guide us to solve practical problems, it reflects the “special → general → special” mathematical ideas; the other is asking students They solve the problem from a problem