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MATHS F.4 Circle

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Please solve the question below! 圖片參考：http://i192.photobucket.com/albums/z285/gogoalgreenhope/DSC00002.jpg 圖片參考：http://i192.photobucket.com/albums/z285/gogoalgreenhope/DSC00007.jpg

最佳解答:

a)angle DBF= angleDBC (common angle) angle BDF= angleBCD( angle in alt. segment) 最後一隻就自己用angle sum of triangle 就係AAA(proved) b)let angleDCB be n n = angleABC(alt.angles AB //CD) n = angleFED(angle in the same segment) therefore angleAEF = 180-n therefore angelAEF+angle ABC=180 therfore A,B,F,E are concylic(opp.angles supp.) c)let angleBDC be m and angleACE be k angleECD=m (angle in alt.segment) angleADC=k (angle in alt.segment) angleADC=angleBAD=k (alt.angles AB//CD) angleACD=180-2k-m(angle sum of triangle) angleBAC=180-k-m angleBAC+angleBDC =180-k-m+k+m =180 therforeABDC are concylic(opp.angles supp.) 你想清楚d可跟住我既step 自己畫d angles落張紙 希望你睇得明=]

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