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内容概述 具有某种性质的直线(圆)的集合叫直线(圆)系.通常方程中含有一个或几个参变数. 1.直线系常见类型 (1)过定点(a,b)的直线系为:λ1(y-b)+λ2(x-a)=0,其中λ1、λ2为参数 (2)与直线Ax+By+C=0平行的直线系为:Ax+By+λ=0,(λ≠C,λ为参数) (3)与直线Ax + By + C=0垂直的直线系为:Bx-Ay+λ=0(其中λ为参数) (4)若直线l1与l2的一般式分别为f1(x,y)=0,f2(x,y)=0,则曲线系:λ1f1(x,y)+λf2(x,y)=0(λi为参数)
Content Overview A collection of straight lines (circles) with certain properties is called a line (circle) system. Usually the equation contains one or several parameter variables. 1. Linear system common types (1) Lines that cross the fixed point (a, b) It is: λ1(yb)+λ2(xa)=0, where λ1 and λ2 are the straight lines of the parameter (2) and the straight line Ax+By+C=0: Ax+By+λ=0, (λ≠C λ is a parameter. (3) The straight line perpendicular to the straight line Ax + By + C = 0 is: Bx-Ay + λ = 0 (where λ is a parameter) (4) If the general formulas of the lines l1 and l2 are f1, respectively (x, y) = 0, f2 (x, y) = 0, then the curve is: λ1f1 (x, y) + λf2 (x, y) = 0 (λi is a parameter)