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圆锥曲线是解析几何的精华所在,圆锥曲线的最值问题就成了高考的重要内容之一,它融合了解析几何、不等式、函数于一体.对解题者来说,能力要求也比较高,因此这类问题成了高考中数学的难关,但其解法还是有章可循、有法可依的.本文来谈谈笔者遇到的一道求圆锥曲线最值的题目:已知椭圆x225+y29=1的左、右焦点为F1,F2,A(2,1)是椭圆内一点,P为椭圆上任意一点,求PA+54PF2的最
The conic curve is the essence of analytical geometry. The question of the maximum value of the conic curve becomes one of the important contents of the college entrance examination. It combines analytical geometry, inequality, and function as a whole. For the problem solver, the ability requirement is also high. Therefore, this type of problem has become a difficult task for mathematics in the college entrance examination, but its solution still has rules to follow, and there are laws to follow. This article talks about the problem that the author encountered in seeking the most value of the conic curve: the known ellipse x225+y29 The left and right focus of =1 is F1, F2, A(2,1) is a point inside the ellipse, and P is any point on the ellipse. Find the most of PA+54PF2.