对于直线和平面所成的角 ,现行几何教材仅给出了定义 ,而未提供公式算法 .本文以向量为工具 ,找到了一个线面所成角的普适公式 ,从而有效解决了其在实际应用中的计算问题 .定理　设平面α的斜线OP与α所成的角为 φ ,向量 p∥斜线OP ,向量a ,b是平行于α的不共线向量 .令θ =a For the angle formed by the straight line and the plane, the current geometry textbook only gives the definition, and no formula algorithm is provided. This paper uses the vector as a tool to find a universal formula for the angle formed by the line surface, thus effectively solving the problem. The computational problem in the application. Theorem Let the angle formed by the slashes OP and α of the plane α be φ, the vector p ∥ the sloping line OP, and the vector a, b be non-collinear parallel to α. Let θ = a