论文部分内容阅读
直线与圆锥曲线的位置关系是平面解析几何中非常重要的内容之一,笔者发现直线与网的位置关系的判定在解决函数的最值问题尤其是多元函数的条件最值问题中有着非常独到的作用.想到圆与椭圆有着密切的联系,那么直线与椭圆的位置关系是否也有着类似的判定?经过研究,笔者推证出一个关于直线与椭圆的位置关系的判定定理,而将直线与圆的位置关系的判定作为其推论.
The position relationship between the straight line and the conic curve is one of the very important contents of the plane analytical geometry. The author finds that the determination of the positional relationship between the straight line and the net is very unique in solving the problem of the maximum value of the function, especially the conditional value of the multivariate function. Effect: If there is a close connection between circle and ellipse, does the positional relationship between the straight line and the ellipse have similar judgments? After study, the author deduce a decision theorem about the positional relationship between the straight line and the ellipse. The determination of the positional relationship serves as its inference.