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立体几何一直是高考考查的核心内容之一,通过它可以有效地考查学生的空间想象能力和逻辑思维能力。《2015年普通高等学校招生全国统一考试大纲(理科·课程标准试验版)》(以下简称“考试大纲”)对“空间向量与立体几何”的考查要求为:掌握空间向量的正交分解及其坐标表示;掌握空间向量的线性运算及其坐标表示;掌握空间向量的数量积及其坐标表示,能用向量的数量积判断向量的共线与垂直;理解
Three-dimensional geometry has been one of the core content of college entrance examination exam, through which students can effectively examine the spatial imagination and logical thinking ability. The examination requirements for “Space Vector and Stereo Geometry” in the “2015 National Unification Examination Outline for Enrolling Colleges and Universities (Science and Curriculum Standard Test Version)” (hereinafter referred to as “Syllabus”) are as follows: Cross-decomposition and coordinate representation; master space vector linear computing and coordinate representation; grasp the number of space vector and its coordinate representation, can use the vector number of products to determine the collinear vector and vertical; understanding