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解数学问题的过程,就如骑车一样先是学会基本方法步骤,然后就能做到熟能生巧,从而感受到骑行的乐趣。近年,一线教师及教研人员对平面向量问题的研究不断深入。查阅各类文献,极化恒等式在解决平面向量问题上虽取得了一些进展,但在一些具体复杂问题的解决过程中又遇到了“动点”“多动点”“曲线”“普通状态”等四类困惑,下面笔者就如何运用四“化”突破极化恒等式应用的困惑阐述自己的思考,并举例分析。
The process of solving mathematical problems, like riding a bike, is like learning the basic method steps, and then you can do it so that you can feel the fun of riding. In recent years, front-line teachers and researchers have studied the problem of plane vectors continuously. While consulting various documents, some progress has been made in solving the problem of plane vectors by the polarization identities. However, in the process of solving some complex problems, they encounter “moving point”, “moving point”, “ ”“ Ordinary state ”and other four types of confusion, the author on how to use the following four “ ”breakthrough polarization consistent application of confusion about their own thinking, and for example analysis.