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一、内容与要求 1.理解向量的概念,掌握空间向量的加法、减法和数乘运算。 2.了解空间向量的基本定理,理解空间向量的坐标概念,掌握空间向量的坐标运算。 3.掌握空间向量的数量积的定义及其性质,掌握用直角坐标计算空间向量数量积的公式,掌握空间两点间的距离公式。 4.掌握直线的方向向量、平面的法向量、向量在
I. Contents and Requirements 1. Understand the concept of vectors and master the addition, subtraction, and multiplication of spatial vectors. 2. Understand the basic theorem of the space vector, understand the concept of the coordinates of the space vector, master the coordinate calculation of the space vector. 3. Master the definition and properties of the scalar product of the space vector, grasp the formula for calculating the quantity product of the space vector using Cartesian coordinates, and grasp the distance formula between two points in space. 4. Grasp the direction vector of the line, the normal vector of the plane, and the vector