F3 maths question!!!

2011-02-04 12:29 am

圖片參考:http://imgcld.yimg.com/8/n/HA05329604/o/701102030042013873376772.jpg

In the figure,ABCD is a parallelogram,E is ap point lying on AB.If EC and BD intercept at F,find the ratio of the area of DEF to the area of CBF(HKCEE2007MC)

回答 (3)

2011-02-04 12:40 am
✔ 最佳答案
△DCE : △DCB = 1 : 1 (with the same height since AB//DC)Let △DCE = △DCB = kSo△DEF : △CBF= (△DCE - △BCF) : (△DCB - △BCF)= (k - △BCF) : (k - △BCF)= 1 : 1


2011-02-03 16:44:35 補充:
Typing error :

△DEF : △CBF
= (△DCE - △DCF) : (△DCB - △DCF)

(Not △BCF)

Sorry!

2011-02-03 16:50:17 補充:
You ' re welcome.Happy new lunar year!
2011-02-04 4:15 am
003You are correct!!
2011-02-04 12:30 am
3 pictures are same

2011-02-03 16:45:24 補充:
To ☂雨後陽光☀:
You are correct!!


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