The specific examination objectives are:
First, the basic knowledge and skills of mathematics
I. 1 Understand or master the basic knowledge about numbers and operations, equations and algebra, functions and analysis, data arrangement and probability statistics, graphics and geometry in elementary mathematics.
I.2 Understand basic mathematical ideas such as set, correspondence, function, algorithm, mathematical modeling, probability, statistics, reduction, combination of numbers and shapes, classified discussion, decomposition and combination, and master basic mathematical methods such as coordinate method, parameter method, logical division and equivalent transformation.
I.3 Be able to calculate, draw and reason according to certain rules and steps; Master the basic skills of mathematics reading, expression and conversion between written language, graphic language and symbolic language; Can use the function calculator to do relevant calculations.
Two. Logical thinking ability
II.4 Be able to think systematically from a mathematical point of view.
II.5 Ability to observe, analyze, synthesize, compare, abstract, generalize, judge and demonstrate mathematical problems or data.
II.6 Be able to perform deduction, induction and analogical reasoning, and be able to logically and accurately explain one's thoughts and viewpoints.
II.7 Can correctly and concisely express the reasoning process, and can reasonably and logically explain the correctness of deductive reasoning.
Three. Computing power
III.8 understand the related arithmetic of numbers and formulas.
III.9 can accurately calculate and deform according to the law.
Third, 10 can find and design a reasonable and simple operation mode according to the conditions.
1 1 can reason and explore problems through operation.
Four. Spatial imagination
12 can draw the correct graph according to the conditions.
13 can imagine an intuitive image according to the graphics.
4. 14 can correctly analyze the basic elements in the graph and their relationships.
IV. 15 can decompose, combine and deform graphics.
IV. 16 will choose a suitable method to study the properties of graphics.
Verb (abbreviation for verb) is the ability to analyze and solve problems.
V. 17 can learn some new mathematical knowledge (concepts, theorems, properties and methods, etc. ) independently completed, and can be initially applied.
V18 can comprehensively apply basic knowledge, basic skills, mathematical thinking methods and appropriate problem-solving strategies to solve related mathematical problems.
V19 can solve problems related to social life, production practice or other disciplines by establishing mathematical models, and can explain its practical significance.
Mathematical inquiry and innovation ability of intransitive verbs
VI.20 will use the existing knowledge and experience to find and raise some valuable questions.
VI.2 1 be able to use relevant mathematical thinking methods and scientific research methods to explore problems and find the laws and relationships of mathematical objects; Can correctly express the inquiry process and results and prove it.
VI.22 Under the new situation, we can correctly express the quantitative relationship and spatial form, and draw some novel results from simple problems on the basis of creative thinking (for senior high school students).
Test questions are divided into easy questions, medium questions and difficult questions according to their relative difficulty. These three kinds of problems are distributed in the test questions, and their scores account for about 40%, 40% and 20% of the total score respectively in principle.
Therefore, in senior high school, students can learn mathematics and solve mathematical problems according to the inspection objectives.