纵观第十二届“希望杯”赛题,发现其中不少题目如若采用整体的观点加以审视,便可快捷获解.以下以高一年级第1试中的试题为例说明. 1.借助整体变换进行求解例1 函数y=f(a+x)与函数y=f(a-x)的图象关于( ) (A)直线x=a对称. (B)点(a,0)对称. (C)原点对称. (D)y轴对称. 分析视a+x为一整体,显见,对于a-x,只 Throughout the 12th “Hope Cup” title, it was discovered that many of these topics could be quickly resolved if they were viewed in a holistic view. The following is an example of the examinations in the first year of the first grade. Integral Transformations for Solving Example 1 The image of the function y=f(a+x) and the function y=f(ax) is symmetrical about the ()(A) straight line x=a. (B) The point (a, 0) symmetry. C) origin symmetry. (D) y-axis symmetry. The analysis view a+x as a whole, obviously, for ax, only