1, solid foundation
Students must remember clearly what they should recite and remember. Many students have such a misunderstanding that learning junior high school mathematics does not require memory. In fact, this is a very big misunderstanding. Mathematics is also in great need of memorization, and it must be memorized clearly, without any carelessness or mistakes.
For example, when we were in primary school, we had to recite the formulas of addition, subtraction and multiplication within ten. Perhaps history probably knows the meaning, but mathematics, as a rigorous discipline, must be clearly remembered.
Step 2 be diligent
What makes people speechless in the junior high school math exam is that it is easy to pass as long as you study hard according to the teacher's requirements, but it is far from enough to get 145 by the teacher's practice. Even poor students still have simple and easy learning methods. Only by mastering the correct methods can we gain something through diligence.
3. Breakthrough at different levels
Especially the students with poor math foundation in junior high school, don't rush to break through the problem. Start with the most basic topics, be familiar with the definitions of various formulas, understand the collective steps of different types of topics, and skillfully do the simplest topics first.
It was not until all the simple basic problems were gone that I tried to solve the problems with moderate difficulty, and gradually transitioned from simple to difficult, so that I could have a sense of accomplishment in solving math problems that I couldn't solve, thus enhancing my confidence in math learning.
2 matters needing attention in junior high school mathematics answering questions
Three ways to answer multiple-choice questions
There are three ways to answer multiple-choice questions in junior high school mathematics. Exclusion method: according to the question type and related knowledge, exclude obviously incorrect options. Special value method: according to the conditions in the topic, select special values that meet the conditions or make special graphs for calculation and reasoning.
When solving problems with special value method, we should pay attention to the selected values to meet the conditions. Guess: directly observe or get the result. This method is often used to explore the regularity in the senior high school entrance examination questions in recent years.
Discrimination and Vieta Theorem
The method for judging the roots of unary quadratic equation ax2bxc=0(a, B, C belongs to R, a≠0) and△ = B2-4ac is not only used to judge the properties of roots, but also widely used as a method for algebraic deformation, solving equations (groups), solving inequalities, studying functions and even solving problems in geometric and trigonometric operations.
Vieta's theorem not only knows one root of a quadratic equation, but also finds another root. Knowing the sum and product of two numbers, we can find the symmetric function of the root, discuss the sign of the root of quadratic equation, solve the symmetric equation and solve some problems about quadratic curve.