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