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关于椭圆的切线一直是许多数学爱好者们研究的热门话题,我们将从椭圆的辅助圆入手,介绍一种椭圆的切线的作图方法.首先来了解一下椭圆的辅助圆的定义.定义设椭圆的方程为x2a2+y2b2=1,则圆x2+y2=a2叫作该椭圆的辅助圆.即以椭圆的长轴为直径的圆是该椭圆的辅助圆.如图1,虚线圆即为实线椭圆的辅助圆.1.过椭圆上一点作切线结论1椭圆和辅助圆的对应弦*相交于长轴所在直线上.如图2,点F、G为椭圆长轴上的点,过点F、G分别作垂直于长轴的线交椭圆和
The ellipse tangent has always been a hot topic for many math enthusiasts. We will start with the ellipse auxiliary circle and introduce a method of drawing the ellipse tangent line. First, let’s look at the definition of the ellipse auxiliary circle. The equation is x2a2 + y2b2 = 1, the circle x2 + y2 = a2 is called the auxiliary circle of the ellipse, ie the circle whose diameter is the major axis of the ellipse is the auxiliary circle of the ellipse. Auxiliary circle of line ellipse .1. Tangential point of ellipse Previous 1 The corresponding line of ellipse and auxiliary circle * intersect on the line where the long axis is located. As shown in Figure 2, points F and G are the points on the long axis of the ellipse, F, G, respectively, for the line perpendicular to the long axis of intersection ellipses and