Function Type: Find analytic function. The common methods to solve the resolution function are undetermined coefficient method, method of substitution method, collocation method and equation group method.
In ancient China, the word "Xin" and the word "Han" were universal and both had the meaning of "Han". Li's definition is: "every formula contains heaven, which is a function of heaven." In ancient China, four words were used to represent four different unknowns or variables: heaven, earth, people and things. The meaning of this definition is: "Whenever a formula contains a variable X, the formula is called a function of X", so "function" means that the formula contains a variable.
1, monotonicity method
Monotonicity is a common and efficient method to solve functions. Monotonicity of function is a particularly important property of function, and it is also the focus of college entrance examination every year. However, due to the lack of understanding of basic concepts and unclear examination questions, many students are prone to make wrong solutions when answering such questions. The following are the matters needing attention in doing this kind of problems, so as to attract the attention of students.
2, undetermined coefficient method
The key to solve the problem by undetermined coefficient method is to list the equality or equation correctly according to the functional relationship between known variables. Using the undetermined coefficient method is to determine these unknown coefficients according to the given conditions. Judging whether a problem is solved by the method of undetermined coefficient mainly depends on whether the solved mathematical problem has a certain mathematical expression, and if so, it can be solved by the method of undetermined coefficient.
The basic steps to solve the function problem by using the undetermined coefficient method are as follows:
1 First, we must determine the analytical formula of the undetermined coefficient problem;
2. According to the condition of identity in the topic, list a group of equations with undetermined coefficients; 3. Solve the equation or eliminate the undetermined coefficient by using the basic properties of the function, thus solving the problem.