数学解题教学中寻求隐含条件的规律探索

中学数学教学中,解数学难题的过程就是从题设中不断地挖掘并利用隐含条件进行推理和变形的过程。数学题中的隐含条件形形色色,花样繁多,但从对解题过程的影响看,又可以分为制约解题方向的隐含条件、制约解题思路的隐含条件、制约解题准确性的隐含条件等三类隐含条件。只要我们把握了难题中隐含条件的规律特征,运用我们获得的数学知识,结合适当的数学思想和数学方法,就可以轻松解决难题了。

Exploring Laws of Seeking Implied Conditions in Solving Math Problems

In middle school math teaching,the process of solving math problems is a process of finding in the hypotheses implied conditions and using them to carry out reasoning and deforming.The hypothses in mathematics are various and varied,but seen from the process of problem solving,they can be divided into implied conditions restricting the dierction of problem solving,those restricting problem solving thread of thought,those restricting problem solving accuracy.As long as we grasp the laws of implied conditions in problem solving,use the mathematical knowledge we have,and combining them with proper mathematical thoughts and mathematical methods,we can easily solve difficult problems.