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經驗証明,引起在高等学校中学習數学的困難原因之一,是缺乏解帶有絕对值符号的不等式的技能与熟練技巧,直到現在,中等学校仍然不注重这样的不等式,就是在拉里切夫(■)的習題課本第二卷中,也僅(在第1396題內)引進兩个这類不等式的題目: 1) |x-2|<5, 2) |x+9|>9。但是,解这样的兩个不等式,並不能保証学生具有必要的準备,去克服未來的“高等”數学開始時的困难。因此,我們建議,对於十年級不等式的学習,要作一定的補充。首先,除不等式的一般性質外,应補充学習一些兩边都是正數的不等式的性質。
Experience has shown that one of the causes of difficulties in learning mathematics in institutions of higher learning is the lack of skills and proficiency in solving inequalities with absolute signs. Until now, secondary schools still do not pay attention to such inequalities, that is, in Larry. In the second volume of Chev (())’s exercise class, only two (1) questions of inequality were introduced (1396): 1) |x-2|<5, 2) |x+9|>9 . However, solving these two inequalities does not guarantee that students have the necessary preparations to overcome the difficulties of the future of “higher” mathematics. Therefore, we suggest that we must make certain additions to the learning of the tenth grade inequality. First of all, in addition to the general properties of inequality, we should supplement the study of some properties of inequalities with positive numbers on both sides.