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许多高考导数试题,从内容看,是大学数学分析在中学的下放,因此具有高等数学背景;从位置看,导数问题往往是高考的压轴题,所以难度比较大.一些导数问题如果利用高等数学知识会比较容易解决,而利用初等教学的知识解决往往比较烦琐而且思维要求也较高,许多学生觉得高不可攀.一些优秀学生,尤其是自学了高等数学的学生常常会用自学过的知识解决,而教师在考试时往往不给满分.笔者以2013年辽宁省理科卷压轴题为例,谈谈对这种教学现象的认
Many entrance exam questions, from the content of view, is the university mathematics analysis in high school decentralization, and therefore has an advanced mathematical background; from the position, the derivative problem is often the finale of college entrance examination questions, so more difficult. Some derivative problems If the use of advanced mathematical knowledge Will be relatively easy to solve, and the use of elementary teaching knowledge to solve often more cumbersome and thinking requirements are also higher, many students find it impossible to climb.Some outstanding students, especially self-taught higher mathematics students often use self-learned knowledge to solve, While teachers often do not give full marks in the exam.I author in 2013 in Liaoning province science curling axis as an example, to talk about the recognition of this teaching phenomenon