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平面向量问题对学生的平面几何推理能力和逻辑思维能力要求较高,在处理向量的一些难题时,需要对题目的条件重新分解,分解不当就会陷入复杂的运算和死循环中,而坐标的运算可以让向量问题代数化,进而建立清晰的数学模型,利用数形结合解决本来复杂的问题。本文通过两个例子展示坐标法对向量问题解决的巧妙之处。
The plane vector problem has a high requirement on the plane geometry reasoning ability and logical thinking ability of the students. When dealing with some difficult problems of the vector, the condition of the topic needs to be re-decomposed. If it is improperly decomposed, it will fall into the complicated operation and death cycle. Arithmetic allows algebraic vector problems, and then establish a clear mathematical model, using the combination of numbers to solve the original complex problems. This article demonstrates the ingenuity of the coordinate method in solving vector problems through two examples.