七种构造辅助函数的方法及应用

Seven Methods for Constructing the Auxiliary Function and their Applications

在对数学命题的观察和分析基础上给出了构造辅助函数的方法,举例说明了寻求辅助函数的七种方法(逆向思维法、原函数法、几何直观法、微分方程法、设置变量法、常数K值法、弧弦差法)及应用.

On the basis of studying and analyzing mathematical,some methods about construction of auxiliary are proposed.Using the property of the function's graph and mean-value theorem of integrals, combined with the example,Seven methods(such as reverse thinking method,original function method,geometrical visual representation,differential equation method,set up variable method,constant K value method) for constructing the auxiliary function and their application are illustrated.