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一、教学内容的安排:新编初中《几何》第一册第五章“面积、勾股定理”,讲授完5.2“平行四边形、三角形、梯形的面积”后,安排“面积法的应用”这一课时的教学.由于学生对面积计算、证明面积关系等有关面积问题已有一定的基础,因此搞好这一内容的教学是有可能的.二、本课内容设计的几个特点:(1)以新的方法—面积法研究旧问题(做过的习题,例题等)既发挥课本习题的潜力作用。又使学生掌握新的方法.(2)求异思维的培养在课堂教学中能够充分体现.(3)课堂教学中渗透、猜想的创造性思维活动.三、教学过程实况(一)引出课题师:我们已经学习了面积计算、面积关系的证明、作图等问题,这一课我们将进一步研究面积法的应用——利用面积来证明几何中的相等、不等、和差倍
First, the arrangement of teaching content: the new junior high school “geometry” Volume I, Chapter 5 “area, Pythagorean Theorem”, after the completion of 5.2 “area of parallelograms, triangles, trapezoids,” arrange “area method application” Teaching in one class. Since students have a certain basis for area calculations and area-related issues, it is possible to do a good job of teaching this content. Second, several features of the content design of this lesson: (1 ) Using the new method-area method to study old problems (actual problems, examples, etc.) has played the potential role of textbook exercises. It also enables students to master new methods. (2) The cultivation of divergent thinking can be fully reflected in classroom teaching. (3) Creative thinking activities that permeate and conjecture in classroom teaching. Third, the actuality of the teaching process (1) Lead the problem-solving teacher: We have studied the problems of area calculation, area relations, and drawing. In this lesson we will further study the application of the area method—using the area to prove the equality, inequality, and difference in geometry.