英文四邊形數學題15(10分)

2009-02-05 1:39 am
請依下圖列出所有步驟及理據(如:int. angles, PQ//SR)等
題目可能包含mid-point theorem或intercept theorem

圖:http://i246.photobucket.com/albums/gg119/FFS12/ABC1-1.jpg

回答 (1)

2009-02-05 2:13 am
✔ 最佳答案
According to the Mid-point theorem:
PQ/PR = PT/PS = QT/RS = 1/2
k/10 = 1/2
2k = 10
k = 5
Also, from the Mid-point theorem:
** triangle PQT ~ triangle PRS
** QT // RS
So: <m = <PTQ ( alt angles, QT//RS )
<PTQ = 180 - 105 - 40 ( angles sum of triangle PQT )
<PTQ = 35
So: <m = 35
參考: myself.. 嚴禁抄襲!!


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