What are the knowledge points that need to be paid attention to in high school mathematics?

There are 3002 knowledge points in high school mathematics.

Qiu Chong, a senior from the Qingbei student assistance team, studied the real questions of the college entrance examination and found that there are 3,002 high school mathematics knowledge points, but there are 259 common test points for the college entrance examination, including 84 core test points. Among them, there are more than 20 methods that can be learned within 1 point by those who don't even have any foundation.

The compulsory course consists of 5 modules: Compulsory 1: Sets, Functional Concepts and Basic Elementary Functions (Fingers, Pairs, Power Functions) Compulsory 2:

Preliminary stereo geometry and plane analytic geometry. Compulsory 3: Preliminary Algorithms, Statistics, Probability.

Core 4: Basic Elementary Functions (Trigonometric Functions), Plane Vectors, Trigonometric Identity Transformations. Compulsory 5:

Solve triangles, sequences, inequalities.

Difficulties and test points: Focus: functions, sequences, trigonometric functions, plane vectors, conic curves, solid geometry, derivatives difficulties:

Functions, Conic Curve Sets and Simple Logic: Concepts and Operations of Sets, Simple Logic, Sufficient and Necessary Conditions; Functions: Mappings and Functions, Analytic Expressions and Definition Domains, Value Ranges and Maximums, Inverse Functions, Three Properties, Function Images, Exponents and Exponential Functions, Logarithmic and Logarithmic Functions, Applications of Functions; Series:

Related concepts of number series, equal difference number series, proportional number series, number series summation, number series application.

Trigonometric functions: related concepts, co-angular relations and induction formulas, sum, difference, times, semi-formulas, evaluation, simplification, proof, images and properties of trigonometric functions, application of trigonometric functions; Plane Vectors: Related Concepts and Elementary Operations, Coordinate Operations, Quantity Products and Their Applications; Inequalities:

Concepts and Properties, Mean Inequalities, Proof of Inequalities, Solutions of Inequalities, Absolute Inequalities, Application of Inequalities;

Equations of Straight Lines and Circles: Equations of Straight Lines, Positional Relations of Two Straight Lines, Linear Programming, Circles, Positional Relations of Straight Lines and Circles; Conic curve equations: ellipse, hyperbola, parabola, position relationship between straight lines and conic curves, trajectory problems, application of conic curves; Straight lines, planes, simple geometry:

Spatial Straight Lines, Straight Lines and Planes, Planes and Planes, Prisms, Pyramids, Spheres, Space Vectors;

Permutations, Combinatorials, and Probabilities: Permutations, Combinatorial Applications, Binomial Theorems and Their Applications; Probability & Statistics: Probability, Distribution Columns, Expectations, Variance, Sampling, Normal Distribution; Derivatives: the concept of derivatives, finding derivatives, and the application of derivatives; Complex numbers: The concepts and operations of complex numbers.

The most important knowledge points are: function sequence, analytic geometry, algebraic equations, trigonometric functions, solid geometry, vectors, probability and statistics, permutations and combinations, derivatives, complex numbers, limits, etc.

1. Develop good learning math habits.

Establishing good math habits will make you feel orderly and relaxed in your learning. Good habits in high school mathematics should be: questioning, thinking diligently, being hands-on, resuming, and paying attention to application.

In the process of learning mathematics, students should translate the knowledge imparted by the teacher into their own special language and remember it in their minds forever. Good learning mathematics habits include self-study before class, concentration in class, timely review, independent homework, problem solving, systematic summary and extracurricular learning.

2. Understand and master commonly used mathematical ideas and methods in a timely manner.

To learn high school mathematics well, we need to master it from the height of mathematical ideas and methods. The mathematical ideas to be mastered in middle school mathematics learning are as follows: set and correspondence ideas, classification and discussion ideas, number and form combination ideas, movement ideas, transformation ideas, and transformation ideas.

After having mathematical ideas, it is necessary to master specific methods, such as: commutation, undetermined coefficients, mathematical induction, analysis, synthesis, counterproof, and so on. Among the specific methods, the commonly used are:

Observation and Experimentation, Association and Analogy, Comparison and Classification, Analysis and Synthesis, Induction and Deduction, General and Particular, Finite and Infinite, Abstraction and Generalization, etc.

When solving math problems, we should also pay attention to the problem of problem-solving thinking strategies, and often think about what angle to choose to enter and what principles should be followed. Mathematical thinking strategies that are often used in high school math are:

Simplicity and complexity, combination of numbers and shapes, mutual use of advance and retreat, transformation into cooking, positive and difficult are reversed, reverse and backward, dynamic and static conversion, division and combination complement each other, etc.

The compulsory three are these, as LS said, the compulsory three is also very simple, and it is the simplest of the acres awarded. I just finished my freshman year of high school and will soon be my sophomore year of high school. After completing the compulsory three non-digging Nakamori Jiupeihong.

What are the knowledge points of high school mathematics:

First, there are nine chapters in mathematics for the college entrance examination, including functions, sequences, trigonometric functions, plane vectors, inequalities, and solid geometry.

It is mainly a test of functions and derivatives, which is the core section of our entire high school stage, in this section, we focus on two aspects: the properties of the first function, including the monotonicity and parity of functions; The second is the solution of functions, focusing on quadratic functions and higher-order functions, sub-functions and some of its distribution problems, but this distribution focus also includes two analysis problems that are the distribution of quadratic equations, which is the first section.

Second: Flat Zen rotten face quants and trigonometric functions.

Focus on three aspects: one is subtraction and evaluation, first, focus on mastering formulas, and focus on mastering five groups of basic formulas. The second is the image and properties of trigonometric functions, which focuses on mastering the properties of sine and cosine functions, and third, the sine theorem and cosine theorem to solve triangles.

The difficulty is relatively small.

Third: the numbers are raging.

In this section, the number series focuses on two aspects: a general item; is the sum.

Fourth: Space vectors and solid geometry.

It focuses on two aspects: one is proof; — is a calculation.

Fifth: Analytic geometry.

This is a headache for us, it is the most difficult and computational question in the whole test paper, of course, this is a type of question, I summarize the following five types of common test question types, including the position relationship between straight lines and curves in the first category, which is the most important content of the exam.

The high school math knowledge points are as follows:

1. If the odd function has monotonicity in the interval of symmetry with respect to the origin, its monotonicity is exactly the same; If an even function has monotonicity in the interval of symmetry with respect to the origin, its monotonicity is the opposite.

2. The part between any two points on the circle is called an arc, referred to as an arc. Arcs larger than semicircles are called superior arcs, and arcs smaller than semicircles are called inferior arcs. A line segment that connects any two points on a circle is called a string. The string that passes through the center of the circle is called the diameter.

3. On a circle, the figure enclosed by two radii and a section of arc is called a fan. The side view of the conic is a fan. The radius of this sector becomes the busbar of the cone.

4. In the planar Cartesian coordinate system, the standard equation for a circle with the point o(a,b) as the center and r as the radius is: (x-a) 2+(y-b) 2=r 2.

5. Perpendicular diameter theorem: bisect the string perpendicular to the diameter of the string and bisect the two arcs of the chord.