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笔者阅读了《中小学数学》(初中版)2010年1-2期潘纯平老师(以下简称潘老师)的文章《串联点与函数图像的平移规律》.潘老师的方法是利用函数解析式取值的变化与函数平移口诀对比,将点的平移规律转化为函数图像的平移规律.归纳如下:把直线y=kx+b向左(或向右)平移m个单位,则x变为x+m(或x-m).向上(或向下)平移n个单位,则y变为y-n(或y+n).并用直线y=-3x+2与y=-3x+5对比说明平移特点,如:y=-3x+2先向右平移2个单位,再向下平移3个单位后解析式为y+3=-3(x-2)+2,即为y=-3x+5,同时就对于二次函数y=ax~2
The author read the “primary and secondary mathematics” (2010) 1-2 Pan Panping teacher (hereinafter referred to as Pan teacher) article “serial point and the function of image translation law.” Pan’s method is to use the function analytic value Is compared with the function translation nouns and the translation rule of the point is transformed into the translational law of the function image, which is summarized as follows: When the straight line y = kx + b is translated to the left (or right) by m units, x becomes x + m (Or xm). Translate n units upwards (or downwards), then y becomes yn (or y + n) and the translational features are described by comparing y = -3x + 2 with y = -3x + y = -3x + 2 to the right by two units of translation, and then down 3 units after the resolution of the solution y +3 = -3 (x-2) +2, that is y = -3x +5, at the same time For the quadratic function y = ax ~ 2