论文部分内容阅读
数学的严谨性在于选用少数几个不加定义的概念和不加逻辑证明的命题为基础,推出一系列定理,使之成为数学体系,从而具有很强的逻辑性和较高的精确性.这就要求我们在平常的学习中要注重思维逻辑的严密性的训练,然而时常出现这样的一种现象——许多中学生为了答题或学习的简便在平常的做题练习中很不注重数学的严谨性.如,在一些证明题中跨越过大甚至有些结论不知从何而来,进而较易形成松散而不严谨的逻辑思
The rigor of mathematics consists in introducing a series of theorems based on a few definitions without definition and logically proven propositions to make them mathematical systems with a high degree of logic and accuracy. We need to pay attention to the rigor of the rigor of thinking logic in normal learning, but often there is such a phenomenon - many middle school students do not pay attention to the rigor of mathematics in the usual practice of doing exercises for the sake of answering questions or learning For example, in some of the proof questions, crossing too large or even some conclusions do not know where they come from, and then they are more likely to form loose but not rigorous logic