基于教育数学理念解析几何与高等代数课程教学内容的几点思考

Reflections on the Teaching Content of Analytic Geometry and Advanced Algebra Based on Educational Mathematics Concept

文章基于教育数学理念研究了平面二次曲线方程的化简,柱面、锥面、旋转曲面方程的求解,向量的共线、共面位置关系,子空间直和等知识的学习方法,给出的方法通俗易懂,便于学生学习相关知识,进而增强学习兴趣.

In this paper,starting from the concept of educational mathematics,we aim to make mathematics easier to learn and study the learning methods of the simplification of planar quadratic curve equations,the solution of cylindrical,conical,and rotational surface equations,the collinear and coplanar positional relationships of vectors,and direct sum of subspace.