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1.试题呈现.如图1,AD是△ABC的角平分线,DE⊥AB,DF⊥AC,垂足分别是E,F,连接EF,EF与AD相交于点G.试判断AD与EF的关系并说明理由.2.一题多解,发散思维.2.1学生解答情况.考试后,通过检查学生的试卷发现很多答案不够完整.首先,AD与EF的关系包含位置和数量两个方面,AD是EF的垂直平分线,很多学生只关注到一个方面.其二,说明理由有多种方法,但是学生局限于多次证明全等的方法,且思路不清,知识点混乱.因此,教师需要引导学生理清垂直平
1. Test questions presented in Figure 1, AD is △ ABC angle bisector, DE⊥AB, DF⊥AC, foot is E, F, EF, EF and AD intersect at point G. Judgment AD and EF And explain the reasons .2 .A multi-solution, divergent thinking.2.1The students answer the situation.After the exam, by examining student papers found that many of the answers are not complete enough.First, the relationship between AD and EF includes the location and the number of two aspects, AD is the vertical bisector of EF, many students only focus on one aspect.Second, there are many ways to explain the reasons, but the students are limited to multiple methods of proof of congruent, and the thinking is not clear, the knowledge point is chaotic.Therefore, the teacher Need to guide students to clear the vertical flat