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在立体几何中,确定垂线及其垂足的位置是求点到平面的距离,两条异面直线的距离,直线和平面所成的角,平面和平面所成的二面角,棱锥和棱台的体积等一系列问题的关键。笔者在涉及“二面角的平面角”的单元复习中,抓住“平面的垂线”这一关键,采取“变式”教学,使“平面的垂线”贯串多题,帮助学生掌握关键,提高了对空间问题的应变能力。
In solid geometry, determining the position of the perpendicular and its foot is the distance from the point to the plane, the distance between two straight lines, the angle between the straight line and the plane, the dihedral angle between the plane and the plane, the pyramid and The size of the edge of a series of issues such as the key. In the unit review involving the “planar angle of dihedral angle”, the author grasps the key of “vertical plane of plane” and adopts the teaching of “variant” to make the “vertical plane of the plane” run through multiple questions to help students master the key , Raising the resilience of space issues.