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方程思想方法是指用已知和未知来看待和分析问题中的各种量及其数值,用列方程为手段反映问题中已知和未知间的制约和联系,通过解方程实现未知向已知的转化.下面阐述方程思想方法的四要点及其在解几中的应用.一、未知数个数和方程个数一致方程思想方法的要点之一就是设置未知数的个数和所列方程组中独立的方程个数相等.例1 (97高考)已知圆满足(1)截 y 轴所得弦长为2,(2)被 x 轴分成两段圆弧,其孤长的比为3:1,(3)
Equation thinking method refers to the use of known and unknown to view and analyze the various quantities and their values in the problem. The column equations are used as a means to reflect the constraints and relations between the known and unknown in the problem. The unknown equation is solved by solving equations. The following are the four main points of the equation method and its application in the solution. First, the number of unknowns and the number of equations. One of the main points of the idea of the consensus equation is to set the number of unknowns and the listed equations. The number of independent equations is equal. Example 1 (97) The known circle satisfies (1) the y-axis resulting in a chord of length 2, (2) divided by the x-axis into two arcs with a ratio of 3:1 for the lone length. ,(3)