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1问题的提出与研究具有某种共同性质的所有曲线的集合,称为一个曲线系,并用含有一个参数的方程来表示。对于x、y的二元方程,如果在方程中除x、y外,还至少含有一个暂不确定的常数,这样的方程叫曲线系方程。曲线系方程性质:如果两条曲线方程f_1(x,y)=0和f_2(x,y)=0,它们的交点是P(x_0,y_0),则方程f_1(x,y)+λf_2(x,y)=0的曲线也经过P(x_0,y_0)(λ是任意常数)。我们知道曲线系是具有某种性质的曲线集合,利用曲线系解题体现了参数变换的数学思想,整体处理
1 PROBLEM PROPAGATION AND RESEARCH A collection of all the curves that have some common property, called a curve system, and represented by an equation with one parameter. For x, y binary equation, if in the equation except x, y, but also contains at least a temporary indefinite constant, such equation is called the equation. If the two curve equations f_1 (x, y) = 0 and f_2 (x, y) = 0 and their intersection point is P (x_0, y_0), the equation f_1 (x, y) + λf_2 x, y) = 0 also passes P (x_0, y_0) (λ is an arbitrary constant). We know that the curve system is a collection of curves with certain properties. Using the solution to the problem of the curve system embodies the mathematical thinking of parameter transformation and the overall processing