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将一般三角形中的结论向焦点三角形中类比,能够斩获若干惊喜的结果。学数学、教数学,我们都要依靠类比的力量来启迪自己的创造性思维!我们称以椭圆上任意一点P与椭圆两个焦点F_1,F_2为顶点组成的三角形为椭圆焦点三角形。显而易见,在三角形中的所有结论,在椭圆焦点三角形中肯定是成立的。但由于椭圆焦点三角形是一种特殊的三角形,因此必有某些特殊的结论。本文从三角形中某些熟知的结论出发,类比得出椭圆焦点三角形的若干新结论,旨在抛砖引玉。(需要说明的是,根据习惯,我们在△ABC中叙述问题
The conclusion of the general triangle to the focus of the triangle analogy, be able to gain a number of surprise results. Mathematics, teaching mathematics, we have to rely on the power of analogy to inspire their creative thinking! We call any point on the ellipse P and elliptic two focal points F_1, F_2 as the vertex triangle is the elliptical focal point triangle. Obviously, all the conclusions in the triangle, in the oval focus triangle is certainly true. However, since the oval focus triangle is a special triangle, there must be some special conclusions. Based on some well-known conclusions in the triangle, this article draws a number of new conclusions about the triangle of oval focus by analogy, aiming to start anew. (It should be noted that, according to the habit, we describe the problem in △ ABC