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[img]2022m10s/ct_ve01203002j_egreqjs_0191_221011[/img]AD=AB/3;AF=AC/3;BE=BC/3T
[img]2022m10s/ct_ve01203002j_egreqjs_0191_221011[/img]AD=AB/3;AF=AC/3;BE=BC/3T
游客
2025-02-23
9
管理
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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