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tuo yuan jiao dian san jiao xing de ruo gan xing zhi
Author(s): 
Pages: 38-39
Year: Issue:  6
Journal: qing hai jiao yu

Keyword:  椭圆焦点 焦点三角形 余弦定理 离心率 长轴;
Abstract: 如图,设/%、/*是椭圆-*"*+.*0*&%("1012)的焦点,3是椭圆上的任意一点(异于长轴的端点),则称!/%3/*为椭圆的焦点三角形。设"/%3/*&!,"3/%/*&","3/*/%&#,椭圆的离心率为4,则!/%3/*具有如下的性质。定理%53/%5·53/*5&0*678*!*证明:在!/%3/*中,由余弦定理得:53/%5*+53/*5*$*·53/%5·53/*5678!&,6*(%)又因为53/%5+53/*5&*"所以53/%5*+53/*5*+*53/%5·53/*5&,"*(*)(*)$(%)得:*53/%5·53/*5(%+678!)&,("*$6*)&,0*所以
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