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2001年高考数学试题(理)第14题,紧扣定义,难易适中,重视数学思想的应用及能力的培养,对中学数学教学具有很好的指导作用.笔者在此给出几种解法,并结合本题给出两个结论,供同学们参考. 题目双曲线x2/9-y2/16=1的两个焦点为F1、F2,点P在双曲线上,若PF1⊥PF2,则点P到x轴的距离为_. 解法一设P(x0,y0),由PF1⊥PF2得
In the mathematics test of the college entrance examination (division) in 2001, the 14th problem, closely related to the definition, the difficulty is moderate, emphasis on the application of mathematical thinking and ability training, has a good guiding role in mathematics teaching in middle school. The author gives several solutions, In combination with this question, two conclusions are given for students’ reference. The two focuses of the topic hyperbole x2/9-y2/16=1 are F1, F2, and the point P is on the hyperbola. If PF1⊥PF2, then the point P The distance to the x-axis is _. The solution is set to P(x0,y0), which is obtained by PF1⊥PF2.