2021年勾股定理教学设计教案.pdf
勾股定理【教学目标】一、知识目标1.在探索基础上掌握勾股定理。2.掌握直角三角形中的边边关系和三角之间的关系。二、能力目标1.已知两边，运用勾股定理列式求第三边。2.应用勾股定理解决实际问题（探索性问题和应用性问题）。3.学会简单的合情推理与数学说理，能写出简单的推理格式。三、情感态度目标学生通过适当训练，养成数学说理的习惯，培养学生参与的积极性，逐步体验数学说理的重要性。【重点难点】重点：在直角三角形中，知道两边，可以求第三边。难点：应用勾股定理时斜边的平方等于两直角边的平方和。疑点：灵活运用勾股定理。【教学设想】课型：新授课教学思路：探索结论-验证结论-初步应用结论-应用结论解决实际问题。【课时安排】2 课时。【教学设计】第一课时【本课目标】1在探索基础上掌握勾股定理。2.掌握直角三角形中的边边关系和三角之间的关系。【教学过程】1.情境导入从观察课本中图和图入手引入勾股定理。2、课前热身观看图和图，数一数三块面积之间的关系，体验勾股定理的内涵。3、合作探究（1）整体感知由观察课本中图和图入手得出勾股定理；通过在图中动手操作证实勾股定理；通过对本课本第50 页例 1 的探索求解巩固勾股定理。（2）四边互动互动 1：师：你们能数出图中三块面积P、Q、R的数值吗数数看.生：根据图形进行操作由此得出：以直角三角形两直角边为边长的两个正方形的面积和等于以斜边为边长的正方形的面积。师生共同归纳：RQPSSS,即两直角边的平方和等于斜边的平方.互动 2：师：你们能数出图中三块面积P、Q、R的数值吗数数看生：根据图形进行操作由此得出：以直角三角形两直角边为边长的两个正方形的面积和等于以斜边为边长的正方形的面积师生共同归纳,RQPSSS,即两直角边的平方和等于斜边的平方互动 3：师：由上述操作你发现了一般规律了吗生：略明确：在一个直角三角形中：两直角边的平方和等于斜边的平方。互动 4：师：展示课本中图师：在上图中画出直角三角形ABC，用直尺量量斜边是多长好吗生：每人画出一个三角形，并动手测量后在小组中交流讨论，然后举手回答问题。明确：师生合作通过操作证明勾股定理：222cba.例题教学：例 1：如图，将长为米的梯子AC斜靠在墙上，BC长为米，求梯子上端 A到墙的底端 B的距离 AB.（精确到米）师：你会用勾股定理解这道题吗试试看生：操作后相互交流。明确：在一个直角三角形中:两直角边的平方和等于斜边的平方。注：在实际问题中往往需要求取近似值。解：略。4、达标反馈（1）在直角 ABC 中，C=090，a=3，b=4，则 c 值是，理由是（2）在直角 ABC 中，B=090，a=3，b=4，则 c 值是，理由是文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9（3）在 ABC 中，a=3，b=4，c=5，则 ABC是5、学习小结（1）内容总结直角三角形三边满足勾股定理：两直角边的平方和等于斜边的平方。注意：应用勾股定理时应特别注意哪个角是直角。（2）方法归纳让学生经历观察、操作、交流合作、合理猜想等体验吸取知识。6、实践活动：利用勾股数确定直角的方法在测量中的应用，如测量河宽时可用勾股数确定直角，再利用直角三角形知识解决实际问题。7、巩固练习：课本第中第1、2 题。【板书设计】勾股定理1.以直角三角形两直角边为边长的两个正方形的面积之和等于以斜边为边长的正方形的面积。2.直角三角形两直角边的平方和等于斜边的平方。投影幕文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9第二课时【本课目标】1.通过拼图，用面积的方法说明勾股定理的正确性。2.通过实例应用勾股定理，培养学生的知识应用技能。【教学过程】1.情境导入多媒体播放如何制作相同的直角三角形纸板。2、课前热身让学生分组练习用四块相同的直角三角形板拼成正方形。3、合作探究（1）整体感知通过相同直角三角形的拼图体验，让学生找出多种不同的方法来说明勾股定理的正确性，通过运用勾股定理解题，训练培养学生应用知识的技能，通过阅读材料让学生体验勾股定理的妙用。（2）四边互动：出示课本中图和。文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9互动 1：师：你会拼出如图所示的图形吗生：讨论交流，举手回答问题。师：你能运用面积列出等式说明勾股定理吗生：讨论交流，举手回答问题，并尝试说理。明确：大正方形面积减去小正方形面积等于四个直角三角形面积。大正方形面积减去四个直角三角形面积等于小正方形面积。大正方形面积等于四个直角三角形面积加上小正方形面积。结论是222cba。互动2：出示课本中图和师：你会拼出图吗生：动用操作师：你会用面积等式说明勾股定理吗生：讨论交流，举手回答并说理。明确：大正方形面积减去小正方形面积等于四个直角三角形面积。大正方形面积减去四个直角三角形面积等于小正方形面积。大正方形面积等于四个直角三角形面积加上小正方形面积。文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9结论是222cba。互动 3：师：出示如右图所示的图形你会拼成如图所示的图形吗它需要几块三角板生：独立尝试后，在小组之间交流，并举手回答问题师：你会列出面积等式说明勾股定理吗生：讨论交流，举手回答问题，并尝试说理明确：梯形面积减去等腰直角三角形面积等于两直角三角形面积。梯形面积减去两个直角三角形面积等于等腰直角三角形。梯形面积等于两个直角三角形面积加上等腰直角三角形的面积。结论是222cba。例题教学：例2 如图，为了求出湖两岸的A、B 两点之间的距离，一个观测者在点 C设桩，使三角形 ABC 恰好为直角三角形.通过测量，得到 AC长 160 米，BC长 128 米.问从点 A穿过湖到点 B有多远解在直角三角形 ABC中，AC 160，BC 128，根据勾股定理可得22BCACAB22128160=96（米）答：从点 A穿过湖到点 B有 96 米.明确：在直角三角形中，两直角边的平方和等于斜边的平方：222ABBCAC4、达标反馈配套练习。5、学习小结（1）内容总结可以通过拼图，得到正方形，再根据面积相等列出等式，从而验证勾股定理；运用勾股定理可以解决许多实际问题；运用三角形相似或全等知识能证明直角三角形中的勾股定理。（2）方法归纳通过动手操作、合作交流和亲身体验培养学生食好的学习方法，逐步养成优良的学习。文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 ZY9Q9H1H9X9文档编码:CX7Z3J7O4P1 HX3P7W6N10P7 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