论文部分内容阅读
如果问学生:抛物线y~2=2px(p>0)的参数方程是什么?那么,学到这一内容的高中学生一般都能回答是(t为参数)如果进一步问:这个参数方程是怎样推导出来的?参数t的几何意义是什么?学生就可能回答不出来了。究其原因,主要是因为(1)在教材中对这个参数方程的推导未加更多的叙述,而是做为消参数的例题出观的;(2)教材也没有进一步对参数t的几何意义
If students are asked: what is the parametric equation of the parabola y~2=2px(p>0)? Then, high school students who learn this content can generally answer yes (t is a parameter) if they ask further: What is the parameter equation? What is the derived geometrical meaning of the parameter t? Students may not be able to answer it. The reason is mainly because (1) the derivation of this parametric equation in the textbook has not been described in more detail, but has been used as an example of parametric elimination; (2) the textbook has not further studied the geometry of the parameter t. significance