论文部分内容阅读
列方程(组)解应用题是中学数学教学的 一个重点和难点,之所以难是由于有些问题 的数量关系比较复杂或是有些问题条件较少, 数量间的关系比较隐蔽不易被发现等. 在列方程(组)解应用题时,有的问题如 果仅按所求的量直接或间接设未知数,很难 列出方程(组),有的甚至列不出.如果充分考 虑实际问题中各元素及它们之间的关系,设 辅助未知数列方程(组)就可以清晰地给出数 学表示.
The application of equations (groups) is an important and difficult point in mathematics teaching in middle schools. The reason why it is difficult is that the quantitative relationship between some problems is relatively complex or there are few problem conditions, and the relationship between numbers is not easy to be discovered. When the equations (groups) of the equations are solved, some problems can only be listed in the equations (groups) if they are only directly or indirectly set by the required quantities, and some may not even be listed. If we fully consider the elements of the actual problem and the relationship between them, setting up the auxiliary unknown sequence equations (groups) can give a clear mathematical representation.