开放性问题作为培养学生探究能力和创新精神的载体,在新课程改革中有着充分的体现,在高考中所处的地位也越来越突出.开放性问题常常发人深思,让人欲罢不休,有利于培养学生分析、判断、推理和开拓创新的能力.特别是立体几何中的一类开放性问题,更富有深刻性、灵活性和挑战性.笔 Open questions, as a carrier for cultivating students’ exploration and innovation spirits, are fully reflected in the new curriculum reforms, and their status in the college entrance examination is becoming more and more prominent. Open questions are often thought-provoking, and people are persevering. Is conducive to cultivating the students’ ability to analyze, judge, reason and develop new ideas. In particular, an open question in stereo geometry is more profound, flexible and challenging.