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本刊刊发的关于解法自然的文章,大多数是以具体试题来阐释问题解决过程中思维策略与思想方法的运用之道,对教师的解题教学颇具参考价值。然而.笔者在研读文献[1]后认为,原作者对试题及其“自然解法”的认识偏离了“自然解法”这一提法的本原意义,值得商榷。题目:如图1,已知一条直线过点(0,4),且与抛物线y=1/4x~2交于A、B两点,其中点A的横坐标是-2。(1)求这条直线的函数关系式及点B的坐标;(2)在x轴上是否存在点C,
Articles published in this issue on the natural solution to the problem, most of them are based on specific questions to explain the problem solving process of thinking strategies and ways of thinking, the teaching of the teachers quite reference value. However, after studying the literature [1], the author thinks that the original author’s understanding of the test questions and his “natural solution ” deviates from the original meaning of “natural solution ” is debatable. Title: As shown in Figure 1, it is known that a straight line passes through point (0, 4) and intersects with parabola y = 1 / 4x ~ 2 at points A and B, where the abscissa of point A is -2. (1) find the function of this straight line and the coordinates of point B; (2) whether there is a point C on the x axis,