论文部分内容阅读
近几年来,高考中的解析几何试题突出了对其基本思想(用代数方法研究几何问题)的考查.通过建立合适的坐标系,设出点的坐标,得到曲线的方程,构建代数与几何的对应关系;通过引入合适的变量,刻画运动变化的过程,用代数工具研究曲线性质(轨迹、定点、定值、平行、垂直等),揭示运动变化中的规律,揭示不变量、不变性.于是对曲线性质的考查成为解析几何中的热点问题,需要同学们在复习中给与特别关注.此外,既然是用代数方法研究几何问题,那么就不可避免有一定量的运算.本文以曲线性质方面的题目为载体,和同学们谈谈如何优化运算过程.
In recent years, the analytic geometry test in the college entrance examination highlights the basic idea of using algebraic methods to study the geometry problem. By establishing the appropriate coordinate system, setting the coordinates of the point, getting the equation of the curve, building the algebra and geometry Corresponding relations; By introducing the appropriate variables, the process of characterizing the changes of the movement, the use of algebraic tools to study the nature of the curve (trajectory, fixed point, fixed value, parallel, vertical, etc.), reveals the laws of motion changes, revealing invariance, invariance. Examination of the nature of the curve becomes a hot issue in analytic geometry and requires special attention from the students in the review.In addition, since it is an algebraic method to study geometric problems, it is inevitable to have a certain amount of computation.In this paper, Topic for the carrier, and classmates talk about how to optimize the operation process.