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对一个问题能从多方面考虑;对一个对象能从多种角度观察;对一个题目能想出多种不同的解法,即一题多解.在一题多解的训练中,我们要密切注意每种解法的特点,善于发现解题规律,从中发现最有意义的简捷解法,同时拓展思维,达到触类旁通的目的.本文旨在通过易懂的实例说明一题多解在培养思维方面的积极意义.中学数学的一题多解主要体现在:(1)一题的多种解法例如,已知复数z满足|z|=1,求|z-i|的最大值.我们
A problem can be considered in many ways; an object can be viewed from a variety of perspectives; a variety of solutions can be conceived for a problem, ie multiple solutions to a problem. In the multi-solution training, we must pay close attention to The characteristics of each solution are good at discovering the law of solving problems, discovering the most meaningful simple and quick solutions, and at the same time expanding the thinking to achieve the purpose of analogical bypass. This article aims to illustrate the positive significance of multi-explanations in training thinking through easy-to-understand examples. The secondary school mathematics solution is mainly reflected in: (1) multiple solutions to a problem. For example, knowing that the complex number z satisfies |z|=1, find the maximum value of |zi|.