在数学教学中 ,深入挖掘题目的条件 ,发现已知、未知间的关系 ,多方位、多角度的进行思考 ,寻求多种不同的解题思路和方法 ,是培养学生发散思维能力、拓宽思路、综合运用各种知识能力的有效途径 .本文举一例说明 .看下面的问题 :已知 :实数a、b满足 14 (b -c) 2 =(a-b) (c -a) In mathematics teaching, in-depth excavation of the conditions of the subject, the discovery of the relationship between known and unknown, multi-faceted, multi-angle thinking, seeking a variety of different ideas and methods of problem-solving, is to develop students divergent thinking ability, broaden their ideas, An effective way to comprehensively use various knowledge capabilities. This article gives an example. See the following question: Known: real numbers a, b satisfy 14 (b -c) 2 = (ab) (c -a)