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高考立体几何题一般是以一小一大的形式呈现,其中以选择题、填空题的形式考查空间点、线、面的基本概念及相互关系、简单几何体的三视图的表面积与体积;以解答题的形式考查空间点、线、面位置关系的判断与证明,以及空间角与距离的计算,其中文科中几何体的体积与理科中二面角的计算是重中之重。一、空间几何体的三视图还原为直观图及应用简单多面体与旋转体及其组合体的三视图是每年高考中的必考内容,其中将三视图还原为直观图,求其表面积与体积是命题的热点,题型多以选择题、填空题为主,偶尔也会在解答题中出现。例1(2013年湖南卷理)已知棱长为1的正方体的俯视图是一个面积为1的正方形,则该正方体的正视图的
Three-dimensional geometry of college entrance examination is generally presented in the form of a small one, in which the choice of questions, fill in the blank space to examine the spatial point, line, surface basic concepts and interrelationships, simple geometry of the three views of the surface area and volume; In the form of examining the relationship between spatial point, line and plane, and judging and verifying the position relation, as well as the calculation of spatial angle and distance, the calculation of the volume of geometry and the calculation of dihedral angle in science is the most important. First, the three-dimensional view of the spatial geometry is reduced to a visual map and the application of simple Three-dimensional view of the polyhedron and the rotating body and its combination is the compulsory content in the annual college entrance examination, which will restore the three views Into a visual map, and its surface area and volume proposition The hot spots, multiple choice questions, fill in the blank questions mainly, and occasionally appear in the answer questions. Example 1 (Hunan Province, 2013) It is known that the top view of a cube with an edge length of 1 is a square with an area of 1, and the front view of the cube