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数学是一门严谨的科学,数学用语中的字和词,不仅要意义明确,不容混淆,而且要用得准确。否则,就会给学习数学和解答问题带来很多困难,不是思路混乱,就是分析不全或解题错误。例如,“将某线段伸长原来的2倍”和“将某线段伸长到原来的2倍”,虽仅一字之差,但所表达的意义却截然不同,前者伸长后的线段是原来的3倍,而后者是2倍。又如,“a、b、c都不为零”和“a、b、c不都为零”,虽仅两字的次序不同,但表达的意义却相差甚远,前
Mathematics is a rigorous science. Words and words in mathematical terms must not only be clear in meaning, not to be confused, but also used accurately. Otherwise, it will bring a lot of difficulties to learning mathematics and answering questions. It is not the confusion of ideas, that is, incomplete analysis or problem solving. For example, “stretching a line segment twice as long” and “extending a line segment twice as long” are only a single word difference, but the expressed meaning is quite different. The former stretched line segment is The original 3 times, while the latter is 2 times. In another example, “a, b, and c are all nonzero” and “a, b, and c are not all zero”. Although the order of the two words is different, the meaning of the expression is very different.