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探求以空间图形为背景的轨迹问题,要充分应用降维思想,把空间问题转化到某一平面上,利用平几、解几、空间向量等知识将其蕴含的度量关系、位置关系表示出来求解,体现出从学科的整体高度和思维价值的高度考虑问题的能力要求,折射出新课程高考“以能力立意”的命题新理念．本文拟通过具体的例子来解析这类问题．
In order to explore the trajectory problem with spatial graphics as the background, we must fully apply the idea of dimensionality reduction, transform the spatial problem into a certain plane, and use the knowledge of flat number, solution number, space vector, etc. to express the metric relationship and position relationship contained in it. , reflects the ability to consider the problem from the height of the overall height of the discipline and the value of thinking, reflecting the new concept of the proposition of the new curriculum of the college entrance examination “with ability and purpose”. This article intends to solve such problems through specific examples.