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最近在高三的一本数学复习资料中,有一道关于空间角的求解问题.题目:过空间任一点O的四条直线OA,OB,OC,OD两两所成的角相等,则所成角的余弦值为——(答案-1/3),调查结果表明绝大部分同学对此题束手无策,甚至认为此题有误.原因在于不会联想,没有掌握好数学建模的思想,以至于无从下手. 如果将上题以甲烷的空间模型为例建模,则便迎刃而解,所以说上题不失为一道跨学科
In the recent mathematics review materials for the third year, there is a problem about the solution of the space angle. Title: The four lines OA, OB, OC, and OD formed at any point O of the space are equal in angle, and the angles formed are equal. The cosine value is - (answer - 1/3). The survey results show that most of the students are helpless in this issue, and even think that this question is wrong. The reason is that it does not associate, not grasp the idea of mathematical modeling, so that there is no way To start with, if you use the spatial model of methane as an example to model the problem, you can solve it, so the problem is an interdisciplinary one.