论文部分内容阅读
一、对“包含”一词使用的看法全日制十年制高中《数学》第一册P10在介绍全集定义后补述了这样一句话:“也就是说,全集包含了我们所要研究的各个集合的全部元素”。同样的话也见中师《代数与初等函数》第一册P18。愚见以为此处用“包含”一词似有不妥。我们如将上句话省去定语变为“全集包含元素”。而书中介绍元素与集合关系时规定为“属于”与“不属于”,集与集的关系才是“包含”与“不包含”。倘若此处用“包含”一词,则使学生误为集与元素的关系也为“包含”或“不包含”
First, the use of the word “contains” The full-time ten-year high school “mathematics” Volume I P10 after the introduction of the complete set of definitions added such a sentence: “In other words, the complete set contains all the sets we want to study All elements of the”. See also the first volume P18 of Algebra and Elementary Functions in the division of the same teacher. It’s wrong to think that using the word “contains” here. For example, if we change the sentence from the last sentence, we will turn it into “the complete set contains elements.” In the book, the relationship between elements and collections is defined as “belonging to” and “not belonging to”, and the relationship between sets and sets is “contains” and “does not include.” If the word “contains” is used here, then the student mistakes that the relationship between the set and the element is also “included” or “not included.”