两个平行直线的距离怎么求?答:空间两平行直线的距离:L1:(x-x1)/m=(y-y1)/n=(z-z1)/p,L2:(x-x2)/m=(y-y2)/n=(z-z2)/p 记 M1(x1,y1,z1),M2(x2,y2,z2),直线方向向量 s = {m,n,p} 则 记向量 M1M2 = {x2-x1,y2-y1,z2-z1} = {a,b,c} 故得平行线间的距离 d = | M1M2×s | /...
空间平行线距离公式答:记 M1(x1, y1, z1), M2(x2, y2, z2), 直线方向向量 s = {m,n,p} 则 记向量 M1M2 = {x2-x1, y2-y1, z2-z1} = {a, b, c} 故得平行线间的距离 d = | M1M2×s | / |s| =√[(bp-cn)^2+(cm-ap)^2+(an-bm)^2]/√(m^2+n^2+p^2)...
空间中两平行直线的距离怎么求答:有通用公式。无论是平行还是异面。d=||[(x1-x2)*|(m1,n1)(m2,n2)|+(y1-y2)*|(n1,l1)(n2,l2)|+ +(z1-z2)*|(l1,m1)(l2,m2)|]/√∑ || ||...||:取绝对值;|...| :计算行列式;∑=|(m1,n1)(m2n2)|^2+|(n1,l1)(n2,l2)|^2+|(l1,m1)(l2m2)|^2 ...