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圆锥曲线问题的解题方法具有灵活多变、计算过程烦琐等特征,能有效考查学生的综合能力。在高考命题中常把此类题以压轴题的形式出现,考生在历年高考中得分率普遍较低。笔者认为,只要把握相应的解题策略,此类问题的解答并不是高不可攀。下面,笔者结合引例进行说明,与读者交流。引例(2015年高考数学山东卷)在平面直角坐标系xOy中,已知椭圆C:(x~2)/(a~2)+(y~2)/(b~2)=1(a>b>0)的离心率为3~(1/2)/2,左、右焦点分别是F_1、F_2,以F_1为圆心,以
The problem solving method of the conic curve problem is characterized by flexibility and tedious calculation process, which can effectively examine students’ comprehensive ability. In the college entrance examination propositions, such questions often appear in the form of finale questions. Candidates generally have lower scores in college entrance examinations over the years. The author believes that as long as the corresponding problem-solving strategies are grasped, the answers to such questions are not unattainable. Below, the author describes the introduction of examples and communicates with readers. The cited example (2015 college entrance examination mathematics Shandong volume) In the plane rectangular coordinate system xOy, the known ellipse C: (x~2)/(a~2)+(y~2)/(b~2)=1(a> The eccentricity of b>0) is 3~(1/2)/2, the left and right focus are F_1 and F_2, respectively, with F_1 as the center.