A maths competition question3

2010-11-09 8:35 am

回答 (1)

2010-11-09 11:01 am
✔ 最佳答案
(如下圖)設坐標,B(0,0), D(2,0), C(0,2)
因AB=AD, 則A(1,y)
AC中點M, 則M(1/2, (y+2)/2 )
BM=1, 則 (1/2)^2+[(y+2)/2]^2=1, (y+2)^2=3
MD^2=(2- 1/2)^2+[(y+2)/2]^2= 9/4 + 3/4 = 3
故MD=√3
圖片參考:http://imgcld.yimg.com/8/n/AC06565267/o/701011090006013873410020.jpg


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