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一、教学内容和教学要求 (一)本章主要内容本章是“相似三角形”。内容共分两节,第一大节为比例线段(包括比例线段的概念、平行线分线段成比例定理);第二节为相似三角形(包括相似三角形的概念、三角形相似的判定、相似三角形的性质、射影定理、相似多边形)。按九年义务教育《全日制初级中学数学教学大纲(初审稿)》的要求,与现在教材相比,删去了“三角形平分线的性质”、“位似形”、“用小平板仪绘制平面图形”、“黄金分割”等内容。另外,“比例”移到了代数教科书中讲授。 (二)本章教学要求 1.理解线段的比和成比例线段的概念,会用比例的性质对成比例线段进行简单的比例变形,会判断线
First, the teaching content and teaching requirements (A) The main content of this chapter This chapter is “similar triangles.” The content is divided into two sections. The first major section is the proportional line segment (including the concept of the proportional line segment and the proportional theorem of the parallel line segment). The second section is similar to the triangle (including the concept of similar triangles, similarity of triangles, similar triangles Nature, projective theorem, similar polygons). According to the requirements of the nine-year compulsory education “majory syllabus for junior high school mathematics (first-approved draft)”, compared with current textbooks, the “nature of the triangle bisector,” “form of shape,” and “use of a small tablet” were deleted. Draw flat graphics, golden section, etc. In addition, “proportions” have been moved to algebra textbooks. (B) Teaching requirements in this chapter 1. Understand the concept of line segments and proportioned segments, and use proportionality to simply scale proportional segments to determine the line.