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立体几何是高中数学的重要内容,是高考的热点,每年的高考试卷中都有立体几何试题,试题为一小一大或两小一大,分值在17与22分之间,中低难度,考查学生的空间想象能力、运算能力、逻辑思维能力.求解立体几何问题主要有两种方法:一种是传统几何法,它对空间想象能力和运算能力要求较高,不易掌握,是一个难点;另一种是空间向量法,它直接根据题目条件,建立空间直角坐标系,求出点的坐标、直线的方向向量、平面的法向量,再按照有关公式运算即可求解.空间向量法把求解立体几何问题
Three-dimensional geometry is an important part of high school mathematics, college entrance examination is hot, the annual college entrance examination papers have three-dimensional geometry questions, questions for a small one big or two small one big, score between 17 and 22 points, low difficulty , To examine students’ spatial imagination ability, computing ability and logical thinking ability.There are mainly two ways to solve the three-dimensional geometric problems: one is the traditional geometric method, which has high requirements for space imagination ability and computing power, is not easy to grasp, is a difficult point ; The other is the space vector method, which directly under the conditions of the subject, the establishment of rectangular Cartesian coordinate system, find the coordinates of the point, the direction vector of the line, the plane normal vector, and then calculated in accordance with the formula can be solved. Solve three-dimensional geometric problems