Chapter 1: Axisymmetry and Translation
This part mainly investigates the concept and properties of axial symmetry, and how to judge whether two figures are symmetrical about a straight line. At the same time, we will also discuss the concept and essence of translation, and the relationship between translated graphics and original graphics.
Chapter 2: Right triangle
This part mainly investigates the basic knowledge such as the nature of right triangle, Pythagorean theorem and its inverse theorem, and the complementarity of two acute angles of right triangle. At the same time, the application of right triangle, such as height measurement and slope, will be investigated.
Chapter III: Quadrilateral.
This part mainly studies the concept and properties of quadrilateral, and the relationship between the sides, angles and diagonals of quadrilateral. At the same time, the properties and judgment methods of special quadrangles such as parallelogram, rectangle, diamond and square will be investigated.
Chapter 4: Linear Function
This part mainly investigates the concept of function, the expression method of function, the concept, nature and application of linear function. At the same time, we will also examine the basic knowledge of proportional function and inverse proportional function.
Chapter 5: Solving linear equations.
This part mainly investigates the solutions of binary linear equations and ternary linear equations, including substitution elimination method and addition and subtraction elimination method. At the same time, the application of the equation will be investigated, such as engineering problems and travel problems.
Chapter 6: Data sorting and preliminary processing.
This part mainly investigates the basic methods of data collection, collation, description and analysis, including tables, histograms, line charts and fan charts. At the same time, the calculation methods of statistics such as mean, median, mode, range and variance will also be investigated.
Expand knowledge:
In the exam, in addition to the above basic knowledge, there may be some expanding topics involved. These topics may include some investigations on mathematical ideas and methods, such as mathematical modeling, combination of numbers and shapes, and reduction. It may also involve the application of mathematics in practical problems, such as the application of mathematical modeling in physics, economics and other fields.
When preparing for the monthly exam, it is suggested to master the basic concepts and knowledge points first, and then deepen the understanding and application by doing some exercises. For some complex problems, we need to deeply analyze and understand the essence of the problems, and then use mathematical knowledge to solve them. At the same time, we should pay attention to the allocation and management of time to ensure that all the topics are completed in a limited time.