论文部分内容阅读
在高中数学的教与学中,处理图象变换与方程(或函数)变形之间的关系是一个重要而基本的问题,笔者在教学中归纳了“图进标退”几个字以领导部分形数之间的关系,在对多届学生的教学尝试中,他们接受良好,感到原理简明,准确好用,适用面广,本人认为它在图象变换中理顺了庞杂的关系,有化难为易的作用;此提法是否妥当,希望和同志们共同研讨。一、“图进标退”的原理引理1 对于函数y=f(x),若将其图象沿x轴正方向平移h个单位,所得图象与函数y=f(x-h)对应;若将其图象沿y轴正方向平移k个单位,所得图象与函数y=f(x)+k对
In the teaching and learning of high school mathematics, dealing with the relationship between image transformation and equation (or function) transformation is an important and fundamental issue. The author summarized the words “advancement of the figure into the standard” as the leader in teaching. The relationship between the number of shapes, in the teaching trials of many students, they accept well, feel the principle is concise, accurate and easy to use, apply to a wide range, I think it in the image transformation to straighten out the complex relationship, there is The role of hardship is easy; this formulation is appropriate and hopes to discuss it with comrades. First, the “chart into the standard” principle Lemma 1 For the function y = f (x), if its image is translated along the x-axis positive direction h units, the resulting image and the function y = f (xh) corresponding; If the image is translated by k units in the positive direction of the y-axis, the resulting image is related to the function y=f(x)+k