High School Mathematics 139 Knowledge Points 30

There are 3002 knowledge points in high school mathematics.

Senior Qiu Chong of 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 test points for the college entrance examination compulsory questions, 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.

Compulsory 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 Defined 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: concepts, co-angular relations and induction formulas, sums, differences, multiples, semi-formulas, evaluation, simplification, proofs, images and properties of trigonometric functions, application of trigonometric functions;Plane Vectors: Concepts and Elementary Operations, Coordinate Operations, Quantity Products and Their ApplicationsInequalities:

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 Equations: Ellipses, hyperbolas, parabolas, positional relationships between straight lines and conic curves, trajectory problems, applications 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 Problems, 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.

Fundamentals of High School Mathematics (Math Peter Pan).

High School Mathematics Knowledge Points:

1. Trigonometric functions:

There are two ways to test trigonometric functions. They are the solution triangle and the trigonometric function itself. About 10 to 20 percent probability of solving triangles, and 80 to 90 percent probability of proficiency in the use of trigonometric functions themselves.

2. Probability and Statistics:

Taking science mathematics as an example, the test center covers the content of all chapters of probability and statistics, including sampling method, statistical charts, numerical characteristics of data, estimating the whole with samples, regression analysis, independence test, classical generalization, geometric generalization, conditional probability, probability of independent events, probability of independent repeated experiments, distribution columns of discrete random variables, mathematical expectation and variance, hypergeometric distribution, binomial distribution, normal distribution and other basic knowledge and basic methods.

3. Three-dimensional geometry

There are two or three questions in this question, the first question is about the size of a line or proving that a line or surface is parallel or perpendicular to another line or surface, and the last question is to find the dihedral angle.

4. Number series: The number series is mainly to solve the general term formula and the sum of the first n terms. The first is the general formula, depending on the conditional form given in the problem, different forms correspond to different solution methods, which mainly include formula method, accumulation method, cumulative multiplication method, undetermined coefficient method, mathematical induction method, reciprocal change method, etc., proficient in the application of these methods and accumulation of example problems to achieve a degree of proficiency.

5. Conic curve:

The general pattern is that the first half is an investigation of basic properties, the second half of the investigation intersects with a straight line, and the steps of the second half are almost the same.

In the new century, more attention has been paid to quality education, and in basic education, the implementation of high school mathematics quality education has become more prominent. MathematicsNext, I have sorted out the basic knowledge points of high school mathematics for you, let's take a look.

1.Subset: In general, for two sets A and B, if any one element of Set A is an element of Set B, we say that Set A is contained in Set B, or set B contains Set A, denoted as:

ab (or ba), which is pronounced as "a contains b" (or "b contains a"), we say that the set is a subset of the set.

When set A is not included in set B, or set B does not contain set A, it is denoted as a b (or B a) and reads: A is not contained in B (or B does not contain A).

2.From the definition of subsets, we can see that subsets have the following three main properties:

a.Provisions: An empty set (a set without any elements is called an empty set, denoted as f) is a subset of any set, that is, the basic relationship between f sets a

b.Any one set is a subset of itself. i.e. a

the basic relationship between setsa;

c.The subset is transitive, for the sets a, b, c, a

The basic relationship between sets b, b

The basic relationship between sets c, then a

The basic relationship between sets c