空间两点间的距离公式是解析几何中的一个重要内容,它的应用较为广泛,灵活巧妙地应用它,可以使一些较为困难的数学问题得以比较简捷地解决.本文灵活应用空间两点间的距离公式进行求解,与读者共赏.例1(2012年高考数学湖北卷理科第6题)设a,b,c,x,y,z是正数,且a2+b2+c2=10,x2+y2+z2=40,ax+by+cz=20,则a+b+c/ x+y+z=().(A)3/4(B)1/2(C)1/3(D)1/4解在空间直角坐标系中,设O为坐标原点,点A(a,b,c),B(x,y,z)为空间的两点,由 The formula of the distance between two points in space is an important part of analytic geometry, its application is more extensive and flexible and ingeniously applied to it, which can make some more difficult mathematical problems be solved relatively easily.This paper flexibly applies space between two points Example 1 (Hubei University of Science and Technology Volume 6 in the entrance examination in 2012) Let a, b, c, x, y, z be a positive number and a2 + b2 + c2 = 10, x2 + a + b + c / x + y + z = (A) 3/4 (B) 1/2 (C) 1/3 ) 1/4 Solution In the space Cartesian coordinate system, let O be the coordinate origin, point A (a, b, c), B