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xuan yong gou gu ding li ji qi ni ding li de tu jing
Author(s): 
Pages: 48-50
Year: Issue:  Z2
Journal: Required Reading for Junior Middle School Students

Keyword:  勾股定理逆定理已知条件平面几何勾股数组折叠矩形规律折痕直角三角形;
Abstract: <正>勾股定理及其逆定理是平面几何中的重要定理之一,其应用极其广泛.如何根据已知条件选用勾股定理及其逆定理呢?下面总结几条规律供同学们参考.一、已知条件中有直角时,可考虑选用勾股定理例1如图1,矩形ABCD中,AB=8,BC=10,沿AF折叠矩形ABCD,使点D刚好落在BC边上的E点处,求CF及折痕AF的长.解由折叠关系可知△AEF≌△ADF,故AE=AD=10,EF=DF.
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