正方形ABCD(上面邊長是AD,下麵邊長是BC)的邊長為40cm,F,G分別為BC,DC的中點,AE:EG=2:3,求(三角形)DEF的面積。?

2016-12-07 11:37 am

回答 (1)

2016-12-07 11:04 pm
✔ 最佳答案
△DEF
= 四邊形DEFG - △DGF
= (3/5)四邊形ADGF - △DGF
= (3/5)(正方形ABCD - △ABF - △CFG) - △DGF
= (3/5)(40² - 20×40/2 - 20×20/2) - 20×20/2
= (3/5)(1600 - 400 - 200) - 200
= 600 - 200
= 400 cm²


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