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Re:证明,可能不是很简明

Posted by ip96cns at 2010-11-16 17:26:25 on Problem 1673
In Reply To:证明,可能不是很简明 Posted by:huicpc0860 at 2010-04-13 17:22:35
很好的证明.很不错

我来解释下.

以B向两边旋转重合 

即

以B为圆心旋转EBJ,先向BC边转90度,则BC,BJ重合,ABE'共线,角OBM'等于90度;
以B为圆心旋转EBJ,先向BA边转90度,则BA,BE重合,CBJ'共线,角OBM''等于90度,且M'BM''共线

注:是CBJ'不是ABJ'

然后是证明平行四边形,两边平行且相等

相等:M是中点

平行:AM''和CM'相等以及角AM''B和角CM'B互补

然后知平行四边形,

然后,你懂的.

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