The first is the scope of knowledge. Both use the same textbooks, but liberal arts mathematics needs less knowledge than science mathematics. The general requirement of liberal arts mathematics college entrance examination is 1-5, and choose 1- 1, 1-2, 4-4 or 4-5; However, for science and mathematics in the college entrance examination, generally take 1-5, and choose 2- 1, 2-2, 2-3, 4-4 or 4-5.

The specific test sites are different, depending on the exam outline of the college entrance examination that year. However, the mathematics topics in arts and sciences are similar, and more than 60% of the questions are the same; Generally the first question is different. The first question is that science generally examines imaginary numbers, while liberal arts does not. Fill-in-the-blank science may have statistical problems, which are relatively difficult; The arrangement and combination of general science may raise more questions; The last question will be asked differently. Science is more difficult.

Differences in liberal arts and mathematics in the college entrance examination 2: different degrees of difficulty

The difficulty of liberal arts mathematics is very different even if it is aimed at the same inspection point. For basic topics, liberal arts, science and mathematics are basically the same. The main difference lies in some high-end topics.

The known conditions of liberal arts topics are often more direct than those of science topics, so it is easy to answer. In addition, science also has some knowledge points that liberal arts do not have, but this is less. Moreover, the mathematics requirements of science are higher, and some knowledge learned is deeper than that of liberal arts. Therefore, from the difficulty point of view, college entrance examination science mathematics is more difficult than college entrance examination liberal arts mathematics.

What has science, mathematics and arts achieved? 1. Conic curves and equations

Curves and equations

Standard equation and geometric properties of parabola with vertex at coordinate origin

2. Space vector and solid geometry

The concept of space vector

Necessary and Sufficient Conditions of Space Vector * * * Straight Line and * * * Plane

Addition, subtraction and multiplication of space vectors

Coordinate representation of space vector

Quantity product of space vector

The * * * line of the space vector is perpendicular to.

3. Derivative and its application

Derivative of simple compound function

definite integral

4. Reasoning and proof

Principle of mathematical induction

Simple application of mathematical induction

5. Counting principle

Addition principle sum multiplication principle

Arrangement and combination

binomial theorem

6. Probability statistics

Discrete random variables and their distribution tables

Hypergeometric distribution

Conditional Probability and Independent Events

Model and binomial distribution of n independent repeated tests

Mean and variance of discrete random variables

7. Special lecture on geometric proof

Similar triangles's Judgment and Property Theorem

Height theorem of right triangle

Judgment and property theorem of tangent line of circle

the circumferential angle theorem

Intersecting chord theorem, secant theorem, secant theorem

Determination and property theorem of quadrilateral inscribed in circle

8. Matrix and transformation

The concept of matrix

Second-order matrix and plane vector

Common plane transformation

Matrix synthesis and matrix multiplication

Second-order inverse matrix

Eigenvalues and eigenvectors of second-order matrices

Simple application of second-order matrix

9. Coordinate system and parameter equation

Related concepts of coordinate system

Polar coordinate equation of simple figure

Mutual transformation between polar coordinate equation and rectangular coordinate equation

parameter equation

Parametric equations of lines, circles and ellipses

Mutual transformation between parametric equation and ordinary equation

Simple application of parametric equation

10. Seminar on inequality

Basic properties of inequality

Solving inequality with absolute value

Proof of inequality (comparison method, synthesis method, analysis method)

Cauchy inequality, arithmetic-geometric mean inequality

Find the maximum (minimum) value with inequality

Prove inequality by mathematical induction