解析如下:设有向线段为OM,O为原点,M的坐标为(x,y,z),长度为r则OM与3个坐标轴的夹角为(a(x),b(y),c(z)),则cosa(x)=x/r,cosb(y)=y/r,cosc(z)=z/r,a^2+b^2+c^2=r^2,所以[cosa(x)]^2+[cosb(y)]^2+[cosc(z)]^2=1把A,B,C,D分别代入上式,即可知道A=3/2,B=3/2,C=1,D=3/4.所以答案选:C