定积分引入新课标教材,为我们解决初等数学问题提供了新视角、新思维、新方法,应该说定积分既是一块重要的知识更是一种功能强大的工具.借助定积分的观点高屋建瓴审视问题,揭示定积分的本质居高临下解决一些利用初等方法难以解决的问题显得特别有效.然而,由于时下极端功利化的社会环境及高考的重压下片面追求升学率,导致定积分概念教学中普遍存在“一个定义、二项注意、三个例题、n个强化训练题”的怪现象.教师没有向学生充分展示,更没有让 Definite integral introduces the new curriculum teaching material, has provided the new perspective, the new thinking, the new method for us to solve the elementary mathematics question, should say that the integral is not only an important knowledge but also is a kind of formidable tool. Problems Reveal the Essence of Definite Integral It is particularly effective to solve some problems which are difficult to be solved by the elementary methods.However, due to the extreme utilitarian social environment and the unilateral pursuance of the entrance rate under the pressure of college entrance examination, the concept of definite integral education is ubiquitous “A definition, two attention, three examples, n intensive training questions ” teachers do not fully demonstrate to the students, but did not let