2. 外语
  3. AD=AB/3；AF=AC/3；BE=BC/3 The sum of the areas of the shaded region is what fraction of the area of triangle ABC above?

AD=AB/3；AF=AC/3；BE=BC/3 The sum of the areas of the shaded region is what fraction of the area of triangle ABC above?

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问题
AD=AB/3；AF=AC/3；BE=BC/3
The sum of the areas of the shaded region is what fraction of the area of triangle ABC above?
选项
答案5/9
解析 用相似三角形原理答题。△ADF与△ABC相似比1：3，则面积比为1：9。同理，EFC与ABC面积比为4：9，所以阴影部分面积之和与△ABC的面积的比例为5/9，故答案为5/9。
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