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通过对教学案例的分析,经历探索角的轴对称的过程,进一步体验轴对称的特征。在探索角的平分线性质的过程中,让学生经历动手作角并折叠角的平分线,观察、总结并解析其过程。通过分析角平分线的性质定理,使学生用文字语言叙述和数学符号语言,形成数形结合的数学思想方法,以及建模能力、创新意识和创新精神。在探究活动中,让学生获得亲自参与研究的情感体验,从而增强学生学习数学的热情和团结合作、勇于探索、锲而不舍的精神。
Through the analysis of teaching cases, experience the process of exploring the axis of symmetry, and further experience the characteristics of axisymmetric. In exploring the nature of the bisector of the corner, let the students experience the bisector of the corner and fold the corner, observe, summarize, and analyze the process. By analyzing the theorem of the nature of angle bisector, students can use mathematical linguistic description and mathematical notation language to form mathematics and mathematical methods combining mathematical form, as well as modeling ability, innovative consciousness and innovative spirit. In the inquiry activities, students are allowed to gain the emotional experience of participating in the research in person, so as to enhance students’ enthusiasm for learning mathematics and the spirit of unity and cooperation, courage to explore and perseverance.