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平移涉及两个方面的问题,一是移图,二是移轴.传统教材历来都是介绍移轴,而试验教材是介绍移图,其目的是为了减轻学生负担,且与函数图像的平移变换联系起来.为了帮助同学们更深刻地理解平移公式与函数图像平移的一致性,本文就课本及参考书上的用平移公式解决的问题,不用平移公式而直接用图像平移变换的结论加以解决,显得自然而简捷,望能给同学们一些帮助与启迪. 我们知道,函数y=f(x-a)+h(a>0,h
Translation involves two aspects, one is shifting the map, and the other is shifting the axis. Traditional textbooks have historically introduced shifting axes, while experimental textbooks have introduced shifting diagrams. Their purpose is to reduce the burden on students and translate the functional image with translation. In order to help the students understand the translation of the translation formula and the function image more consistently, this paper solves the problem solved by the translation formula in the textbook and the reference book, and directly solves the problem with the translation of the image without translation formula. It looks natural and simple, and hopes to give the students some help and inspiration. We know that the function y=f(xa)+h(a>0,h