本文所谈的三方面问题,是初学极限的人容易问到或容易搞错的。现用课本没有予以明确地指出,同时在一些习题解答集中也出现过类似的错误。因此,笔者认为有必要提出这些问题并分析产生错误的原因。这对于培养学生的正确、合理的解题能力,提高数学教学质量是有好处的。 (一) 忽视算术根概念造成的错误 The three issues discussed in this article are those that are easy to learn and are easy to mistake. The current textbook does not explicitly indicate that similar mistakes have also occurred in some of the exercises. Therefore, the author believes that it is necessary to raise these issues and analyze the causes of the errors. This is good for developing students’ correct and reasonable problem-solving abilities and improving the quality of mathematics teaching. (I) Ignoring errors caused by the concept of arithmetic roots