中一的數學問題

2008-02-22 3:29 am
ABCD是一個長方形,E是BC上的一點,若BE:EC=1:1,AB:DC=1:1,AB:DC=1:1,求三角形CDE和長方形ABCD的面積之比       
更新1:

A在長方形的右上 B在長方形的右下  C在長方形的左下 D在長方形的左上

回答 (4)

2008-02-22 3:55 am
✔ 最佳答案
Let 10 and 7 cm be the length and the width of rectangle ABCD respectively.
Because BE:EC=1:1,
therefore EC = 10/2 = 5

Area of triangle CDE = (7 x 5 )/2 = 17.5
Area of rectangle ABCD = 10 x 7 = 70

Area of triangle CDE / Area of rectangle ABCD = 17.5 / 70

Area of triangle CDE : Area of rectangle ABCD = 1 : 4

2008-02-21 20:06:52 補充:
SOR...triangle : rectangle = 4:1

2008-02-21 20:59:30 補充:
我也亂了...我計出黎就 1:4 諗幅圖就 4:1 唔知點好...你自己決定吧
參考: F.1
2008-02-23 12:01 am
Let 2x be the length of BC, then BE=x, EC=x,
Let y be the length of AB, then AB=DC=y,

Area of ABCD=2xy,
Area of CDE=1/2xy

So,
Area of CDE: Area of ABCD = 1/2xy : 2xy
= 1/2 : 2
= 1 : 4
參考: me
2008-02-22 3:37 am
why you mentioned AB:DC=1:1 twice , is any problems?
2008-02-22 3:35 am
BE:EC=1:1
AB:DC=1:1
AB:DC=1:1,
CDE:ABCD=1:1


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