Linear function and inverse proportional function are sophomore students, and they are new knowledge points for students. Different from the previous knowledge, I was a little confused when I first accepted it, and many students lost points here. Quadratic function is learned in grade three, and it is based on linear function and inverse proportional function, so it is required that linear function must be mastered well. Quadratic function is the key and difficult point of senior high school entrance examination. It will appear in filling in the blanks, selecting topics and solving problems, with many knowledge points and changeable questions. If students do not master this link well, it will directly affect the foundation of algebra and have a great impact on the results of the senior high school entrance examination.

Second, the circle:

Including position relation, central angle and circumferential angle, tangent, sector arc length and area, this chapter is also learned in the third grade, which is the key and difficult point of junior high school geometry. The same function constitutes two important and difficult points of junior high school mathematics. Circle occupies a large proportion in the senior high school entrance examination, interspersed in various questions. If you don't learn the knowledge of circle well, you will lose a lot in the senior high school entrance examination.

Three, triangle (congruent, similar, angle bisector, vertical line, high line, right triangle)

Triangle is the basis of learning geometry well. I learned it in the first grade. If I learn triangles well, I can easily understand and master the proof of quadrilateral, even the circle behind it. Otherwise, all the later geometric proofs are impossible.

Fourth, the application problems:

Including fractional equations, binary linear equations and unary linear inequalities. Application problems are based on the understanding of application problems in primary schools, which requires students to have strong understanding and discrimination. At the same time, there are great requirements for solving fractional equations, binary linear equations and unary linear inequalities. These three equations are the key points of solving equations in junior high school. If you can't solve the equation, you won't get points, and the application problem can't be completely solved.

5. Factorial decomposition, quadratic root, scientific counting and fractional simplification are the key points of junior high school learning. The senior high school entrance examination will not appear in the form of big questions, but it is the basis for solving complete answers. If you don't master these basic knowledge well, you can't carry out the important and difficult points behind.

Six, solve the trigonometric function problem:

This knowledge point is learned in the first chapter of the first volume of the third grade, based on the right triangle. There will be a big question about the ship hitting the rocks, the height of the building and the shadow in the senior high school entrance examination. Therefore, it is also a key point in junior high school mathematics learning, and this knowledge point will be deepened and broadened in senior high school mathematics learning in the future. It has become a key point of the college entrance examination, and junior high school students should master this knowledge point skillfully.

Key points of each grade in mathematics

primary school

Grade 7 (1)

A, rational number and its operation

1. axis

2. Absolute value

3. Addition of rational numbers

4. Rational number subtraction

5. Mixed operation of rational number addition and subtraction

6. Rational number multiplication

7. Division of rational numbers

8. Power of rational number

9. Mixed operation of rational numbers

Second, the plane figure and its positional relationship

1. Line segments, rays and lines

2. Compare the lengths of line segments

3. Angle measurement and representation

4. Angle comparison

parallel

6. vertical

Third, one-dimensional linear equation

1. Solve the equation

Seventh grade (below)

The operation of algebraic expressions.

1. algebraic expression

2. Addition and subtraction of algebraic expressions

3. Same base power multiplication

4. Power and product power

5. Division of the same radix power

6. Multiplication of algebraic expressions

7. Variance formula

8. Complete square formula

9. Division in algebraic expressions

Second, the triangle

1. Do you know triangles?

2. Graphic consistency

3. congruent triangles

4. Explore the conditions of triangle congruence

Make a triangle

6. Measure the distance by triangle congruence method

7. Explore the important conditions of congruence of right triangle.

Grade 8 (1)

I. Pythagorean Theorem

1. Explore Pythagorean Theorem

2. Can you get a right triangle?

Second, real numbers.

1. square root

2. Cubic root

3. Real numbers

Third, the exploration of quadrilateral properties

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2. Determination of parallelogram

diamond

4. Rectangles and squares

5. trapezoidal

6. Intensive shops with flat graphics

7. Centrally symmetric figure

Fourth, linear function.

1. function

2. Linear function

3. Linear function image

4. Determine the expression of linear function

Verb (abbreviation of verb) binary linear equation

1. Solving binary linear equations

2. Binary linear equations and linear functions

Level 8 (below)

One-dimensional linear inequalities and one-dimensional linear inequalities

1. inequality relation

2. Basic properties of inequality

3. Solution set of inequality

4. One-dimensional linear inequality

5. Unary linear inequalities and linear functions

6. One-dimensional linear inequality system

Second, decomposition factors.

1. decomposition factor

2. Common factor method

3. Use the formula method

Third, the score.

1. score

2. Multiplication and division of fractions

3. Addition and subtraction of fractions

4. Fractional equation

Four. Proof (1)

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2. Why are they parallel?

3. If two straight lines are parallel

4. Proof of triangle interior angle sum theorem

5. Pay attention to the outer corner of the triangle

6.

Grade 9 (1)

One-dimensional quadratic equation

1. matching method

2. Formula method

3. Factorization method

Second, the inverse proportional function

1. Inverse proportional function

2. Images and properties of inverse proportional function

3. The application of inverse proportional function

Ninth grade (below)

First-order and second-order functions

1. Relationship described by quadratic function

Understand parabola

3. Braking distance and quadratic function

4. The image of

5. Express quadratic function in three ways.

6. Quadratic function and linear quadratic equation

Second, the circle

Symmetry of 1. circle

2. The relationship between fillet and central angle.

3. Determine the conditions of the circle

4. The positional relationship between a straight line and a circle

5. The positional relationship between circles.

6. Arc length and sector area

7. Transverse area of cone

Summary of mathematics test sites for senior high school entrance examination:

1, rational number, algebraic expression, unary linear equation.

2. Algebraic expressions, straight lines and triangles.

3. Real number, quadrilateral, plane rectangular coordinate system, linear function and binary linear equations.

4. Inequality, fraction, factorization and proof (1).

5. Proof (2), unary quadratic equation, proof (3), inverse proportional function and probability

6. Quadratic functions and circles.