【摘要】 培养学生的创新意识与能力有多种手段与途径，一题多解是其中特色有效方式之一.本文针对几何概型的典型概率题目，分别运用概率加法定理、密度积分法、递归法和离散逼近等方法进行解析讨论，丰富几何概型的教学思路，有效提升学生对知识和方法的理解掌握.最后，通过教学实践的问卷调查，验证了一题多解激发创新意识、提高创新能力的有效性.更多还原

【Abstract】 Multiple solutions to a problem is one of the methed that can effectively incentive and improve the students’ innovative thinking ability. We take a a typical geometric probability problem, and proposed multiple angles to solve it, including the additivity of probability, density function, recursive method and the discrete approximation method. The multiple solution method can broad the teaching methods and mprove the students’ learning effect. The quaestionnaire results indicates that it incentives students’ their innovative thinking as well.更多还原