Unary equation is a very important chapter in the first volume of the seventh grade of junior high school mathematics, and the content of the final exam includes: solving unary equations, unary equations with parameters, application problems of unary equations, moving point problems, etc. In order to better grasp this chapter, we need to have an in-depth understanding and mastery of the concept, solution, and application of unary equations.
First of all, the concept of a univariate equation is an equation that contains only one unknown and the unknown number has an exponent of 1. The basic steps to solve a univariate equation are: denominating, parentheses, shifting, merging homogeneous terms, and reducing coefficients to 1. When solving equations, it is necessary to pay attention to the test of the solution of the equation to ensure the correctness of the solution.
Secondly, the unary equation with parameters is an extension of the solution of the unary equation. This type of equation has one or more parameters, and the value of the parameter needs to be determined by the conditions in the problem. The key to solving this kind of problem is to eliminate the parameter or find the value of the parameter through the idea of elimination, substitution or whole.
Finally, the application of unary equations is a test of our ability to solve practical problems. This kind of topic usually involves various problems in life, such as distance, time, speed, engineering, **, etc. The key to solving this kind of problem is to establish a one-dimensional equation according to the actual situation of the problem, and then get the answer by solving the equation.
In addition, the moving point problem is also one of the important applications of unary equations. Moving point problems usually involve the motion and change of geometric figures, and we need to list and solve the equations by observing and analyzing the relationship between various quantities in the process of motion. The key to solving the problem of moving point is to grasp the invariants and variables in the process of motion and establish a mathematical model.
Unary equation is a very important chapter in the first volume of the seventh grade of junior high school mathematics, and the content of the final exam includes: solving unary equations, unary equations with parameters, application problems of unary equations, moving point problems, etc.