福建省石狮市八年级数学上册第13章全等三角形13.2三角形全等的判定13.2.1全等三角形导学案(无答案)(新版)华东师大版.doc

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1、113.2.1 全等三角形【学习目标】 1.了解全等三角形的概念。2.掌握并理解全等三角形的判定条件。3.了解“数形结合”的数学思想,培养推理能力。【重点】探索三角形全等的判定条件。【难点】理解并运用三角形全等的判定条件。【使用说明与学法指导】1、认真阅读课本,初步了解全等三角形的概念;再针对预习案二次阅读教材,理解全等三角形的判定条件,解答预习案中的问题;疑惑随时记录在“我的疑惑”栏内,准备课上讨论质疑;2、通过探索能够掌握三角形全等的判定,并能拓展和尝试总结规律。预 习 案一、预习自学1. 说说你对全等三角形的理解。2. 做一做。如图,以直线 l 为对称轴,画出ABC 的对称图形,并指出他

2、们的对应定点、对应边和对应角。导 学 案 装 订 线 ABCl2二、我的疑惑_探 究 案探究一: 如果两个三角形只有一组对应相等的元素,那么会出现几种情 况?这两个三角形会全等吗?探究二:如果两个三角形有两组对应相等的元素,那么会出现几种可能的情况呢?这时,这两个三角形会全等吗?探究三:试一试 。分别按照下面的条件,用刻度尺或量角器画出三角形,并比较一下,所画的图形是否全等。(1)三角形的两个内角分别为 300和 700。 (2)三角形的两条边分别 为 3cm 和 7cm。(3)三角形的一个内角为 600,一条边为 3cm。 (注:这条长 3cm 的边分别是 600角的邻边和对边。)3【拓展提升】思考:如果两个三角形有三组对应相等的元素(边或角) ,又会如何呢?

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