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思维与方法的创新是数学进步的源泉,没有创新就没有数学.我们作为学生,日常解题过程中应不仅注重解题的规范准确,更应注重思维与方法的创新,在解题之余提高自我的水平与创新能力.最近在做竞赛试题时遇到如下一道数学题,久久不能攻克,便看了参考答案,但参考答案过于繁琐,我觉得并不是最优解法,因此继续探寻是否存在更为简洁的思路.经过思考想出了一种解题思路:设O是正三棱锥P-ABC底面三角形ABC的中心,过点O的动平面与PC交于S,与PA、PB的延长线
The innovation of thinking and method is the source of mathematics progress, there is no mathematics without innovation.As students, we should pay attention not only to the standardization of problem solving, but also to the innovation of thinking and method, Self level and ability to innovate recently encountered in the competition test questions encountered a math, a long time can not overcome, they read the reference answer, but the reference answer is too complicated, I think it is not the optimal solution, so continue to explore whether there is more For the sake of concise. After thinking came up with a solution to the problem: Let O be the center of the triangular pyramid P-ABC bottom triangle ABC, the point of the moving plane and the intersection of O and PC at S, PA and PB extension line