八年级数学上册第十四章勾股定理14.2勾股定理的应用(2)课件(新版)华东师大版.ppt

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1、14.2 勾股定理的应用(2),复习提问:1、勾股定理的内容是什么?2、勾股定理的逆定理是什么?3、三角形的面积公式是什么?4、如何解决不规则图形的问题? 我们利用图形的割或补得方法来解决此类问题。,(2)画出所有的以(1)中所画线段为腰的等腰三角形.,学习新知,例2:如图,已知CD6m, AD8m, ADC90, BC24m, AB26m求图中阴影部分的面积,解:在RtADC中,由勾股定理得,ACADCD68100,, AC10m, ACBC1024676AB,, ACB为直角三角形(如果三角形的三边长a、b、c有关系:abc,那么这个三角形是直角三角形),, S阴影部分SACBSACD,9

2、6(平方米),评析: 这题应总结出两种思想方法:一是求不规则图形的面积方法“将不规则图化成规则”,二是求面积中,要注意其特殊性.,1.如图,学校为美化校园,将形状是直角三角形的园地ABC,分别以三边AB、BC、CA为直径向外作半圆,开辟为三个花坛甲、乙、丙,现分给201班同学种花 班长准备让人数相等的两个小组同学负责为了公平分配任务,她安排一个小组负责花坛甲,另一个小组负责花坛乙和丙你认为班长的安排合理吗?请说明理由,巩固练习,2如图,铁路上A、B两点相距为25km,C、D为两村庄,DAAB于A,CBAB于B,已知DA=15km,CB=10km,现在要在铁路AB上建一个货运站E,使得C、D两村到E站距离相等,问E站应建在离A多少千米处?,课堂小结,谈谈你这节课的收获有哪些?,会用勾股定理解决简单应用题; 学会构造直角三角形,1.从教材习题中选取, 2.完成练习册本课时的习题.,课后作业,

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