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在《空间解析几何》的“平面束方程”一节中,为使计算简单,常把平面束方程的公式:l(A_1x+B_1y+C_1z+D_1)+m(A_2x+B_2y+C_2z+D_2)=0…(1)(其中l,m为不全为零的任意实数)改写成A_1x+B_1y+C_1z+D_1+λ(A_2x+B_2y+C_2z+D_2)=0…(2)(其中λ为任意实数,π_1:A_1x+B_1y+C_1z+D_1=0和π_2:A_2x+B_2y+C_2z+D_2=0为系数不成比例的二个相交平面的方程)。(2) 式表示过π_1与π_2交线l的除π_2的所有平面,当λ=0时为π_1。若求满足某种条件且过L的平面方程,只要在(2)式中确定参数λ即可。但是由于(2)式中不包含平面π_2,所以
In the “Planar Beam Equations” section of “Spatial Analytic Geometry,” the formula for a plane beam equation is often used to make the calculations simple: 1 (A_1x + B_1y + C_1z + D_1) + m (A_2x + B_2y + C_2z + D_2) = 0 ... (1) (where l, m is any real number that is not zero) is rewritten as A_1x + B_1y + C_1z + D_1 + λ (A_2x + B_2y + C_2z + D_2) = 0 Real numbers, π_1: A_1x + B_1y + C_1z + D_1 = 0 and π_2: A_2x + B_2y + C_2z + D_2 = 0 are equations of two intersecting planes with a disproportionate coefficient. (2) Express all the planes of π_2 other than the intersection of π_1 and π_2, π_1 when λ = 0. If you want to meet certain conditions and over the L of the plane equation, as long as (2) to determine the parameter λ can be. However, since (2) does not include the plane π_2, so