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一题多解,函数思想解决立体几何的距离问题;等积思想解决立体几何中体积转换求距离问题,立体几何基本思想方法解决异面直线间距离问题,向量几何形式,运用“向量加法、实数积”基本原理求异面直线间的距离;空间直角坐标系中运用平面的法向量思想方法,解决立体几何中异面直线间的距离问题.通过一题多解,培养和发展学生的思维能力,结合大学里面的学习基础所需,拓展学生视野,提高学生的综合素质,培养学生的开拓创新能力.
More than one solution, functional thinking solves the problem of distance in three-dimensional geometry; equal-volume thinking solves the problem of volume transformation in three-dimensional geometry, three-dimensional geometry basic thinking method solves the problem of distance between lines in different planes, vector geometric forms, and applies “vector addition, Real number product "basic principle to find the distance between different surface straight lines; the use of plane’s normal vector thought method in spatial rectangular coordinate system to solve the problem of the distance between lines of different sides in solid geometry. Through the multiple solutions of one problem, to cultivate and develop students’ Thinking ability, combined with the needs of the university’s internal learning, expands students’ horizons, improves students’ overall quality, and cultivates students’ pioneering and innovative abilities.