对于某些数学问题,我们若能从不同的角度去思考、分析,多方面展开联想,不仅能帮助我们掌握知识之间的联系,得到多种巧妙的解法,更重要的是能培养我们思维的灵活性和勇于探索的创新精神.下面通过对一道分式求值题的多种思路的探讨,意在训练同学们的发散思维能力和不断探索的创新意识. For some mathematical problems, if we can think and analyze from different perspectives and expand associations in many ways, we can not only help us grasp the connections between knowledge, but also obtain many kinds of clever solutions, and more importantly, we can cultivate our thinking. Flexibility and the courage to explore the innovative spirit. The following through the discussion of a variety of ideas for a fractional evaluation questions, intended to train students’ divergent thinking ability and continuous exploration of innovative awareness.