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在解析几何问题的求解运算过程中,同学们经常会出现解题思路正确,但因运算过程繁杂而半途而废的现象.究其原因,就是同学们解题时受思维定势的束缚,不能灵活地运用所学知识合理处理问题,而是采用常规的通法解题,结果在繁杂的运算过程中陷入困境而不能自拔.因此,同学们有必要掌握降低运算量的技巧和方法,激活自己的解题思维,优化自已的解题过程,最终实现自身解题能力的提高.下面结合具体实例,谈谈在解析几何中减少运算量的一些常用策略,供大家参考.
In the process of solving the geometric problem solving and solving, the students often have the correct way to solve the problem, but the phenomenon is complicated because of the complicated process. The reason is that when the students solve the problem, they are bound by the thinking trend and can not flexibly Use the knowledge to reasonably deal with the problem, but the use of the conventional method to solve the problem, the result in complex computing difficulties and can not extricate themselves. Therefore, students need to master the skills and methods to reduce the amount of computation to activate their own solution Thinking, optimization of their own problem-solving process, and ultimately improve their ability to solve problems.Considering specific examples, to talk about some of the commonly used strategies to reduce the amount of computation in analytical geometry for your reference.