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外语
在下面的图中,AB=BC=CD。如果△CDE的面积是30,那么△ADG的面积是多少?
在下面的图中,AB=BC=CD。如果△CDE的面积是30,那么△ADG的面积是多少?
admin
2020-10-11
57
问题
在下面的图中,AB=BC=CD。如果△CDE的面积是30,那么△ADG的面积是多少?
选项
答案
270
解析
在△CDE和△ADG中,∠D为公共角,∠CED和∠AGD=90°,有两个角相等,于是△CDE∽△ADG。又因为AB=BC=CD,所以相似比是CD/AD=1/3,所以S
CDE
/S
ADG
=(1/3)
2
=1/9。所以S
ADG
=9×30=270。
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