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三视图是空间几何体的重要表现形式,是观察者从不同位置观察同一个几何体画出的图形,它从细节上刻画了空间几何体的结构。从近几年的高考试题来看,主要考查几何体的三视图,以及由三视图构成的几何体,考查三视图所对应几何体的表面积与体积,考查学生的空间想象能力及运算与推理能力。下面从几个方面认识空间几何体的三视图。一、由空间几何体的直观图(三视图)画三视图例1(2013新课标Ⅱ文)一个四面体的顶点在空间直角坐标系O-xyz中的坐标分别是(1,0,1),(1,1,0),
Three views is an important manifestation of space geometry, the viewer observes the same geometry from different locations drawn graphics, which details the structure of the space geometry. In recent years, college entrance examination examination questions, mainly to examine the geometry of the three views, as well as the geometry of the three views, examining the three views corresponding to the geometry of the surface area and volume to examine students’ spatial imagination and computing and reasoning capabilities. The following three aspects of space geometry understanding of the three views. Example 1 (2013 New Course Criterion II) The vertices of a tetrahedron in the Cartesian coordinate system O-xyz are (1, 0, 1) , (1,1,0),