f.3 四邊形(2)(急)!

2009-02-10 3:21 am

圖片參考:http://i41.photobucket.com/albums/e288/s0malia_0v0/af77d0de-1.jpg?t=1234178346

第二條都係諗唔到
又係截線+中線定理

回答 (2)

2009-02-10 7:53 am
✔ 最佳答案
因為CD:CB=1:1 & CE//BG
所以CE:BG=1:2 (mid-point therom)

因為AB:BC=1:1 & BG//CF
所以BG:CF=1:2 (mid-point therom)

因為CE:BG=1:2 & BG:CF=1:2
所以CE:CF=1:4

CE:EF
=CE:(CF-CE)
=1:(4-1)
=1:3
2009-02-10 3:38 am
令CE=x﹐則由中點定理(考慮三角形BDG)BG=2x﹐再由中點定理(考慮三角形ACF)CF=4x﹐故EF=CF-CE=3x﹐CE:EF=1:3


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