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高考对圆锥曲线的考查,侧重于圆锥曲线的定义与几何性质,特别是圆锥曲线定义的运用、曲线性质的进一步探究(离心率、定点、定值等),都是高考的热点。从学生反馈的情况看,运算量大、过程复杂是解答圆锥曲线问题的最大困难。的确,解析几何的特点就是用代数方法研究几何问题,代数运算不可避免。但是也不能否认,我们的解答过程,可能存在无效的或者重复的运算,给自己造成了更大的解题困难,概括地讲,体现在以下几个方面:一是忽视运用圆锥曲线的定义解题,以致找不到
The examination of the conic curve of the college entrance examination focuses on the definition and geometric properties of the conic curve, especially the application of the definition of the conic curve. The further exploration of the nature of the curve (eccentricity, fixed point, fixed value, etc.) is the hot spot of the entrance examination. From the feedback of students, the computational complexity and complexity of the process are the biggest difficulties in solving the conic curve problem. Indeed, the characteristic of analytic geometry is the use of algebraic methods to study geometry, and algebraic operations are inevitable. However, we can not deny that there may be invalid or repetitive operations on our solution process, posing a greater problem solving difficulty to ourselves. In a nutshell, the solution lies in the following aspects: First, we ignore the definition of the solution using the conic Question, so that can not find