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一、内容和内容解析在人教A版必修②教材中“解析几何初步”由第三章“直线与方程”和第四章“圆与方程”组成.前者建立直线与相应方程的关系,后者建立圆与相应方程的关系,两章建立的对象不同,所得方程的数量也不等,但是,建立的方法却是一致的,都是在平面直角坐标系中,运用解析法建立.建立图形与方程关系后,两章研究的几何性质、具体内容不同,但研究所用的方法却是一样的,都是运用了坐标法.因此,解析几何初步的学习过程,是知识增长的过程,是方法延用的过程,始终在树立一种观点——代数与几何结合;形成一种思想——数形结合;不离一种方法——坐标法.
First, the content and content analysis taught in the A version of the required teaching ② textbook “analytic geometry preliminary” by the third chapter “line and equation ” and the fourth chapter “circle and equation ” the former to establish a straight line and The latter establishes the relationship between the circle and the corresponding equation. The objects established in the two chapters are different, and the number of the equations obtained is not equal. However, the established methods are the same, all in the Cartesian coordinate system Analytic method is established.After establishing the relationship between the graph and the equation, the geometric properties and the specific contents of the two chapters are different, but the methods used in the study are the same, all using the coordinate method.Therefore, the analytic geometry initial learning process is the knowledge The process of growth, the process of extension of the method, has always been to establish a point of view - algebra and geometry combination; the formation of a combination of ideas - number; not separated from a method - coordinate method.