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异面直线所成角的问题,是空间“三大角”问 题之一,历来是考试的重点内容．传统的方法是 按定义平移,然后再通过解三角形的方法来求出 角的,如何平移,有一定的难度和技巧．如果是使 用向量,求异面直线所成角便不再困难了．a与b 是两异面直线,设它们所成的角是θ,任取一个 与a共线的已知非零向量a,一个与b共线的非 零向量b,则a与b的夹角(?)便是θ或π-θ,所
The problem of the angle formed by the different straight lines is one of the “three major angles” of the space. It has always been the focus of examinations. The traditional method is to translate according to the definition, and then by solving the triangle method to find the angle, how to translate, there is a certain degree of difficulty and skill. If you use a vector, it is no longer difficult to find the angle formed by a different straight line. a and b are two different straight lines. Let their angles be θ. Take any known non-zero vector a collinear with a, and a non-zero vector b collinear with b, then a and b clips. The angle (?) is θ or π-θ.