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定义是数学知识的出发点,是求解数学问题的重要依据。在解答数学问题时,当运用常规求解方法难以使问题获解时,同学们不妨尝试以退为进、追本溯源,利用数学定义,化难为易,找到解题的突破口,从而轻松解题。下面结合具体例题,就定义法在圆锥曲线问题中的有效应用进行分析。一、回归定义,巧求圆锥曲线轨迹方程问题利用回归定义求解圆锥曲线轨迹方程问题,不仅可以使问题化难为易,使解答方便快捷,而且可以简化运算过程,提高解题效率。
The definition is the starting point of mathematical knowledge and an important basis for solving mathematical problems. When solving the mathematical problems, when using the conventional solving method is difficult to get the problem solved, the students may wish to try to retreat, trace the source, the use of mathematical definitions, the difficulty is easy, to find a breakthrough in solving problems, and thus easy to solve the problem. The following combination of specific examples, the definition of the law in the conical problem analysis of the effective application. First, the definition of regression, the truncated conic trajectory equation problem Using regression definition to solve the conic trajectory equation problem, not only can make the problem difficult, easy and quick solution, and can simplify the computing process and improve the problem-solving efficiency.