在某版本高中数学《选修2-1》第1章“全称量词与存在量词”中,有一个“线面垂直定义”的例题:如果直线l垂直于平面α内的任意一条直线,那么直线l垂直于平面α.教材在“任意一条”4字下面加了着重号,认为其中的“任意一条”是全称量词.对此,笔者请教了不少同行,概括起来有如下观点.1)认为“任意一条”是全称量词,因为全称量词就是“在指定范围内(平面α内),表示整体或全部(任意一条)”的含义,况且教材都用了多年,应该无误.2)认为判断“任意一条”是否为全称量词,可以用命题的否定来检验.该命题的否定是“如果直线l仅 In the version of senior high school mathematics ”Elective 2-1“ Chapter 1 ”Full quantifier and existing quantifier“, there is an example of ”vertical line definition “: If the line l is perpendicular to any line in the plane α Then, the straight line l is perpendicular to the plane α. The textbook adds a heavy number below the “any one” word, and considers any one of them as a full-scale quantifier. In response, the author consulted a lot of peers and summed it up. The following views. 1) think that ”any one“ is a full-scale quantifier, because the full-scale quantifier is ”in the specified range (in the plane α), the meaning of the whole or all (any)“, and teaching materials are used For many years, it should be correct. 2) Think of the judgment as ”any one“ as a full-scale quantifier. You can test it with the negation of the proposition. The negation of the proposition is ” if the line l is only