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《全日制普通高级中学数学教学大纲》在立体几何的教学目标一节中说:“通过空间图形的各种位置关系间的教学,培养空间想象能力,发展逻辑思维能力,并培养辩证唯物主义观点……”.实际上,对学生的空间想象能力的考查一直是高考的重点,其中也不乏有对多面体各个面延伸的考查,如:例1(2013年高考数学江西卷理科第8题)如图1,正方体的底面与正四面体的底面在同一平面α上,且AB∥CD,正方体的六个面所在的平面与直线CE,
The “Part-time Mathematics Teaching Syllabus for General Senior High School” states in the Teaching Objectives of Stereoscopic Geometry that: "Teaching through various spatial relationships of positional relationships, training spatial imagination, developing logical thinking skills, and developing dialectical materialism In fact, the examination of students’ spatial imagination has always been the focus of the college entrance examination, among them there is also no lack of tests on all aspects of polyhedron extension, such as: Example 1 (2013 college entrance examination mathematics Jiangxi Curriculum Section 8 ) As shown in Figure 1, the bottom surface of the cube and the bottom surface of the tetrahedron are on the same plane α, and AB∥CD, the plane where the six surfaces of the cube are located is perpendicular to the line CE,