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历年高考中,函数问题是数学重要考点之一,试题从概念、性质、图象、方程和不等式等各个方面进行考察.学生在实际问题解决中,由于对基础知识理解不够扎实,造成数学思维不缜密,不能准确地挖掘题目中隐含的信息,以致出现这样或那样的问题.因此,教师在教学中积极引导学生深度挖掘题目中的隐含信息具有积极重要的意义.一、概念、性质中的信息挖掘案例1已知:当x∈(-∞,0)时,f(x)
In the college entrance examinations over the years, the function problem is one of the important test points for mathematics. The questions are examined in terms of concepts, nature, images, equations and inequalities. Students in the practical problem solving, due to lack of solid understanding of the basic knowledge, resulting in mathematical thinking is not Careful, can not accurately mine the hidden information in the title, resulting in such or that kind of problem. Therefore, teachers actively guide students in the teaching of the depth of the hidden information in the topic of positive and important significance. First, the concept, the nature of Information mining case 1 is known: when x ∈ (-∞, 0), f(x)