从来没有post过。。。如果Post错了 请帮我转一转?
I came across this question...
how many sets of two points in 3-dimensional space can have a distance of 5sqrt3?
A. 0
B. 1
C. 5
D. 8
E. more than 8 (A-D 具体数字不清楚。。。E应该是对的)
思路(不知道对不对): 5sqrt3 = sqrt of 75, distance between two points in 3D = sqrt [(x2-x1)^2+(y2-y1)^2+(z2-z1)^2] this means that 75 should be made up of three squares, which would be 49, 25, and 1. to get 49, 25, and 1, (x2-x1) or (y2-y1) or (z2-z1) could be either 9/-9, 5/-5, or 1/-1...given all these possibilities, there should be more than 8 sets???
--------kimchilan
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谢谢亲,狗狗主人主页链接:
http://forum.chasedream.com/space/732245.html-- by 会员 泾渭不凡 (2012/5/24 15:09:16)