点P(x0,y0)在椭圆x2/α2+y2/b2=1内(外)部的充要条件是x0/α2+y0/b2(>1).利用这一结论解决有关椭圆的范围问题,往往简捷迅速. 例1 设直线l的方程为y=mx+b,椭圆E的参数方程为{x=1+αcosθ,y=sinθ (α≠0.θ为参数)问α、b满足什么条件时,使得对任意m值来 The necessary and sufficient condition for the point P(x0, y0) within the (external) part of the ellipse x2/α2+y2/b2=1 is x0/α2+y0/b2 (>1). This problem is used to solve the problem of the range of the ellipse. , Often simple and rapid. Example 1 Let the equation of the straight line l be y=mx+b, and the parameter equation of the ellipse E is {x=1+αcosθ, y=sinθ (α≠0.θ is the parameter). What does α, b satisfy? When conditions make it to any m value