阿Q吧 > 图中梯形ABCD的面积是90平方厘米，AC=3AO，那么阴影部分的面积是多少平方厘米?

图中梯形ABCD的面积是90平方厘米，AC=3AO，那么阴影部分的面积是多少平方厘米?

2025-02-14 22:02:23

推荐回答（4个）

回答1：

由同高，底的比值为1：2可知
四个三角形的面积关系如下
BOC=2DOC=2AOB=4AOD
所以梯形的面积是三角形AOD面积的9倍
AOD面积是10平方厘米

回答2：

等于10 易证三角形ADO相似于三角形CBO 则AD/BC=AO/CO AC=3AO所以OC=2AO 所以AO/OC=1/2=AD/BC 根据相似三角形的高比等于相似比，得 h三角形AOD=-2h三角形COB 设AD=X BC=2X h三角形AOD=Y h三角形COB=2Y 梯形的面积为 3X*3Y*1/2=90 则 1/2XY= 10 S三角形AOD=1/2XY=10

回答3：

10平方厘米

回答4：

相关的主题文章：

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An advanced copy of the book arrived in our mailbox today. At 294

pages, and filled with postcard-like black-and-white photos, Bicycle

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York. (It's worth noting,UGG Slippers, as the ledes of both the book and his Times

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Here's what the accompanying press release has to say:

As Byrne pedals through metropolises from Berlin to Buenos Aires ... he

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