maths 趕!幫忙!10點!

2007-04-18 12:42 pm
1.Use a vector proof to show that the sum of the squares of diagonal lengths of a quadrilateral is equal to twice the sum of the squares of the lengths of the line segments joining the midpoints of opposite sides.

2. In the diagram (http://hk.geocities.com/sinyeeangela/DSCN5797_1.jpg) ABCD, is a square. M is the midpoint of DC, and AN 垂直 MB. Prove that DN=DA

thank you very much!幫幫忙!

回答 (1)

2007-04-18 6:34 pm
✔ 最佳答案
1.(1)

圖片參考:http://i117.photobucket.com/albums/o61/billy_hywung/April07/Crazyvector1.jpg

which is the required result.
(Note: Those quantities marked in bold are vector quantities.)
(2)

圖片參考:http://i117.photobucket.com/albums/o61/billy_hywung/April07/Crazyvector2.jpg
參考: My Maths knowledge


收錄日期: 2021-04-23 21:35:10
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070418000051KK00469

檢視 Wayback Machine 備份