What are the main knowledge points and formulas in mathematics in the third year of junior high scho

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The knowledge points of the third year of mathematics are as follows:1. An integer equation that contains two unknowns and the highest number of unknowns is 1 is called a binary one-time Qi sell-a program. 2. The circumferential angle of the same arc or equal arc is equal; In the same circle or equal circle, the arcs opposite the circumferential angles of the same circle are also equal.

3. The values of two unknowns that make the values of the two equations on the left and right sides of the binary linear equations equal are called the solutions of the binary linear equations.

4. If the coordinates of the two intersection points of the function image and the x-axis are known, they can be set to the intersection type.

5. The selection order of the solution method of the one-element quadratic equation is: special first and then general, if there is no requirement, there is generally no need to match the method.

Sorting out the error-prone knowledge points of mathematics in the third year of junior high school.

1. The relevant concepts of rational numbers, irrational numbers and real numbers are misunderstood, and the meaning concepts of opposite numbers, reciprocal numbers and absolute values are confused. I can't figure out the classification of absolute values and numbers. There are more multiple-choice questions.

2. Regarding the operation of real numbers, it is necessary to grasp the relevant concepts and properties of real numbers, and flexibly use various operation laws, the key is to control the symbols; In more complex operations, the order of operations is not paid attention to or the laws of operation are not used reasonably, resulting in errors in operations.

3. The difference between square root, arithmetic square root, and cubic root.

4. When the fractional value is zero, it is easy to ignore that the denominator cannot be zero.

5. Pay attention to the changes in the algorithm and symbols in fractional operations. When the numerator and denominator of the fraction is a polynomial, the factorization should be factored first, and the factorization should be decomposed until it can no longer be decomposed. Fill-in-the-blank questions are easy to test.

Common test points with similar triangles.

Test points: the concept of similar triangles, the meaning of similarity ratios, and the enlargement and reduction of drawing figures.

Assessment requirements: (1) understand the concept of similarity; (2) Master the characteristics of similar graphics and the significance of similar ratios, and be able to enlarge and reduce known graphics according to requirements.

Test points: The theorem of proportionality of parallel lines and segments, and the theorem of parallel lines on one side of a triangle.

Assessment requirements: Understand and use the proportionality theorem of parallel lines and line segments to solve some geometric proofs and geometric calculations.

Note: The side that is judged to be parallel cannot be used proportionally as the corresponding line segment in the condition.

Test point: The concept of similar triangles.

Assessment requirements: Based on the concept of similar triangles, grasp the characteristics of similar triangles, and understand the definition of similar triangles.

Test Points: Determination and properties of similar triangles and their applications.

Assessment requirements: Proficient in the determination theorems (including the preparatory theorem, the three decision theorems, and the similar decision theorems of right triangles) and properties of similar three-confessional halls, and be able to apply them well.

Knowledge of functions and equations.

Error-prone point 1: The relevant concepts of rational numbers, irrational numbers and real numbers are misunderstood, and the meaning concepts of opposite numbers, reciprocal numbers and absolute values are confused. and the classification of absolute values and numbers. It is compulsory to choose every year.

Error-prone point 2: The key to mastering the concepts and properties related to real numbers and flexibly using various arithmetic laws is to control the symbols; In more complex operations, the order of operations is not paid attention to or the laws of operation are not used reasonably, resulting in errors in operations.

Error-prone point 3: the difference between square root, arithmetic square root, and cubic root. Fill-in-the-blank questions are mandatory.

Error 4: When the fraction value is zero, students tend to ignore that the denominator cannot be zero.

Error-prone point 5: Pay attention to the changes in the algorithm and symbols when operating fractional operations. When the numerator and denominator of the fraction is a polynomial, it should be factored first, and the factorization should be decomposed until it can no longer be decomposed.

Fill-in-the-blank questions are mandatory.

Error-prone point 6: The nature of non-negative numbers: the sum of several non-negative numbers is 0, and each formula is 0; overall substitution method; Completely flat.

The above is what is the key summary of the knowledge points of the junior high school mathematics common test that I have compiled for you.