不等式的证明中,很多学生在用作差或作商法时不注重变形过程,急于往结论上靠拢,针对这一现象,我采用了下面这道习题,目的是想强调变形过程的重要性,不想事与愿违,课堂教学的全过程和我设计的相去甚远.题目:已知函数f(x) =1 +x2 (x∈R) ,当a≠b时,比较|f(a) -f(b) |与|a -b|的大 In the proof of inequality, many students do not pay much attention to the deformation process and are eager to move closer to the conclusion when they are used as bad or as a business method. In response to this phenomenon, I used the following exercise to emphasize the importance of the deformation process. The whole process of classroom teaching is far from my design. Title: Known function f(x) =1 +x2 (x∈R), when a≠b, compare |f(a) -f(b) ) | and |a -b|