数学题:三角形的左、右两条边分别被六等分、五等分
- 时间:2020-05-09 14:38:58
- 分类:数学世界
- 阅读:152 次
数学题:如图,三角形的左、右两条边分别被六等分、五等分 ,求上、下两个阴影三角形面积的比。(由“弘树”同学提问)

数学题解答:可以做一条辅助线帮助解题,连接CD。
此时三角形BFC和ADC的面积是相等的,因为它们是等底同高的三角形,它们的底BF和AD相等,高都是从C点到AB的垂线段。
所以三角形ADE和BFC的比,就变成了三角形ADE和三角形ADC的比。

三角形ADE和三角形ADC又是同一条高的三角形,它们的底AE和AC的比是1:5。所以它们的面积比也是1:5,问题解决。
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