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一、分析教材对于数学知识而言,函数单调性是新教材中重要内容之一。在学习该内容之前学生已经学习了函数概念、值域、定义域以及表示法,这些知识都是学习函数单调性做铺垫之用。函数单调性是研究初等函数性质基础。学习了函数单调性不仅仅为学生学习函数打下基础,还有效培养了学生抽象思维能力、分析问题及解决问题能力。二、学习目标1.知识和技能;通过该内容学习让学生能够通过对函数图像的理解与研究,明确函数单调性及几何意义。2.过程和方法;经过对该内容的探究与活动,学生就能够细致的去考虑问
First, the analysis of textbooks For mathematical knowledge, the monotonic function is one of the important content of the new textbook. Before learning the content, students have learned the concept of function, the range of values, the definition of domain and the notation, which are all used to study the monotonicity of functions. Monotonicity is the basis for studying the elementary functions. Learning monotonicity not only lays the foundation for student learning function, but also effectively cultivates students’ abilities to abstract thinking, analyze problems and solve problems. Second, the learning objectives 1. Knowledge and skills; through the content of learning so that students can understand and study the function of the image, a clear monotonicity and geometric meaning. 2. The process and methods; after exploring the content and activities, students can carefully consider asking