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《课标》中三角函数的内容突出了描述周期变化的数学模型,削减了利用三角恒等变换化简函数解析式的问题,而把三角变换定位在通过从一些基本公式出发推导其它公式,让学生体会演绎推理的作用以及逻辑体系。在教学要求上,强调结合学生的生活经验,认识周期变化,重视借助单位圆进行几何直观教学,强调应用和知识间的联系。三角函数内容的教育价值主要体现在发展学生的应用意识,培养学生的逻辑推理能力,使学生深刻理解数学的本质。
The content of the trigonometric function in “Course Standard” highlights the mathematical model that describes the periodic variation, reduces the problem of using the triangular equivalent transformation to simplify the analytical function of the function, and locates the triangular transformation by deriving the other formulas starting from some basic formulas Students understand the role of deductive reasoning and the logical system. In teaching requirements, emphasizing the combination of students’ life experience, understanding of cyclical changes, emphasizing the use of unit circle geometry and intuitive teaching, emphasizing the link between application and knowledge. The educational value of trigonometric functions is mainly reflected in the development of students ’sense of application and students’ logical reasoning ability so that students can understand deeply the essence of mathematics.