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数学概念是逻辑思维的起点,因而也是一切数学知识的起点。从这个意义上讲,解任何数学题都需要正确地运用概念。事实上,也不存在与概念无关的数学题。即便是进行“3+2”这样简单的计算,也还要用到“自然数”和“加法运算”等概念。本文所举各例无非是在运用概念上更为明显并且作用更为关键一些而已。一、运用概念解判断题这类题有的几乎不必计算,概念清晰则立即可看出正、误,概念模糊则真、伪莫辨。例1 求几个加数的和的简便运算叫做乘法。这一说法貌似正确,实则谬误:在“加数”前掉
The concept of mathematics is the starting point of logical thinking, and therefore the starting point of all mathematical knowledge. In this sense, solving any math problem requires the proper use of concepts. In fact, there are no math problems that have nothing to do with concepts. Even for simple calculations such as “3 + 2,” concepts such as “natural number” and “addition” are also used. The examples in this article are nothing more than the more obvious concept of the use and the role of more critical only. First, the use of concepts to solve problems such questions almost do not have to calculate, clear concept can immediately see the positive and false, the concept of fuzzy is true, pseudo-Mo discrimination. Example 1 A simple operation to find the sum of a few numbers is called multiplication. This statement looks like the right, but in fact fallacy: “plus” before