Interpretation of "Examination Instructions"
Examine five abilities and two consciousnesses.
Looking at the examination papers of college entrance examination in recent years, it mainly focuses on the main knowledge such as series, trigonometric function, statistics and probability, solid geometry, analytic geometry, function and derivative, covering set, complex number, program block diagram, three views, binomial theorem, linear programming, vector, common logic application, definite integral and so on. The inspection content is comprehensive.
According to the teacher, the five abilities include: spatial imagination ability, abstract generalization ability, reasoning ability, operation solving ability and data processing ability; Two kinds of consciousness include: application consciousness and innovation consciousness.
Looking back on the math test questions of 20 14, we can examine students' math ability from multiple angles and levels, such as science 1, 2, 8, 9, 13, 20, and liberal arts 1, 2, 5, 9,1. Questions 6 and 18 of science (literature) examine students' spatial imagination ability; Science 3, 4, 7, 10, 14, 15, 17, liberal arts 3, 4, 7, 8, 1 1. Science (literature) 19 questions examine data processing ability.
Mathematical knowledge needs to be combined with practice.
In recent years, the college entrance examination pays attention to the quality of mathematics, downplays the specialty and emphasizes the general method. For example, in recent years, the objective problem of series no longer examines the nature, but examines the operation of basic quantities. Every year's examination paper embodies the idea of combining numbers with shapes, the idea of functional equation and the idea of classification and integration.
Mathematics comes from life and practice, and mathematical knowledge is a powerful tool to solve practical problems. It examines students' ability to use mathematical tools and methods to solve practical problems. The description also requires attention to the candidate's personality quality. It mainly means that candidates have a certain mathematical vision, advocate the rational spirit of mathematics, form prudent thinking habits, and apply them in the examination room, requiring candidates to overcome their nervousness, take the examination with a peaceful mind, reasonably control the examination time, and answer questions with a realistic and scientific attitude.
Review guide
First: review ideas as a whole.
Review the basic definition theorem of textbook understanding against the syllabus
To review in senior three, we must first plunge into the textbook and sweep away the blind spots of knowledge. Secondly, we should get out of the textbook and avoid seeing the forest for the trees. Textbooks are the basis of review. Without this review, nothing can be obtained, such as soilless culture. Knowledge points are in textbooks, and the college entrance examination only integrates textbook knowledge and designs exam situations through new exam materials. Some test questions are also drawn directly from textbooks. In fact, many students' wrong questions are caused by inaccurate understanding of knowledge.
Therefore, students should review the textbooks according to the syllabus, and each test center should break through one by one, focusing on reviewing the basic concepts, basic formulas and basic methods in the textbooks. The key point is to thoroughly understand definitions and theorems, memorize formulas, deduce important formulas and form memories.
Constructing knowledge system according to "knowledge-question type-method-thinking"
According to different needs, according to certain themes or clues, all chapters of knowledge are summarized and integrated to form special knowledge or special materials, so that the knowledge in textbooks can not exist in one's mind in the original ecology.
According to "knowledge-question type-method-thought", it is constructed in the mind. For example, sequence and triangle belong to regular knowledge. Take the sequence as an example, let the students understand the definition of arithmetic geometric progression, and memorize the general formula and summation formula (knowledge). Summarize the method of finding the general term and the method of summation (questions and methods), then the method of finding the general term focuses on the idea of construction. The contents of this chapter are imprinted on my mind.
Desalination skills Keep in mind four commonly used mathematical thinking methods
When reviewing, we should downplay the training of special skills and attach importance to the role of mathematical thinking methods. The commonly used mathematical thinking methods are: (1) function thinking method: construct a function according to the characteristics of the problem, and transform the problem to be studied into the study of the properties of the constructor, such as definition domain, range, monotonicity, parity, periodicity, maximum, symmetry, range, intersection points of images, etc. (2) Equation thinking method: the relationship between the known number and the unknown number in the problem is established by listing equations (groups), and the unknown is transformed into the known by solving equations (groups), so as to achieve the purpose of solving the problem; (3) The idea of combining numbers with shapes: abstract mathematical language can be corresponding to intuitive shapes, and complex problems can be simplified and abstract problems can be concretized; (4) The idea of classified discussion: This way of thinking is becoming more and more important in solving problems. When solving problems, we should make clear the principle of classification: the standards should be unified and no duplication should be missed.
It is more important to find the reason for the wrong question. The keywords in the test paper can be marked.
Many people have wrong questions, but the teacher stressed that it is more important to analyze the reasons for the wrong questions in each set of exercises and organize them into wrong questions for rolling review. The reasons for the wrong questions are as follows: first, we must read books in time to understand knowledge. Second, the problem of methods and ideas, we must pay attention to the accumulation of typical solutions to some typical examples in our usual study. For example, in analytic geometry, we can consider the elimination of parameters, sequential construction, transfer in functions and so on. These are all good methods. By mastering this method, we can successfully do a class of problems and draw inferences from others. Third, miscalculation and exam mistakes. In preparing for the college entrance examination, you must finish every exam and do the questions, and you can accurately calculate the questions step by step every time, so as to improve the accuracy of your calculation and avoid calculation errors! In order to avoid mistakes in the exam, you must read the questions carefully first, and you can mark keywords on the test paper to remind yourself to make full and accurate use of the known conditions.
In addition, there are many mock exams during senior three, one is to check students' review, and the other is to simulate the college entrance examination to exercise candidates' psychological quality. Some students are difficult to take the exam, but they are easy to take the exam or not, which is a manifestation of poor psychological quality. In fact, we should think that I am difficult, I am easy to change, I am calm, and I can generally achieve the desired results.
Second: review ideas in different time periods.
During the winter vacation: grab notes and a round of practice papers.
Now the students are all on winter vacation. Because the round of review in schools before the holiday is coming to an end, many students find that the previous sets, functions, trigonometric functions and series have all been forgotten. In fact, it is mainly because the students did not review the previous knowledge repeatedly when reviewing new knowledge.
The teacher suggested that we should pay attention to two things when reviewing during the holiday, notes and a round of exercise paper. Every time you review a new chapter, you should review all the previous chapters in a rolling way to avoid forgetting the old knowledge.
After the start of school: the combination of comprehensive review and special review
After the start of school, candidates enter the second round of special review. The college entrance examination generally has the following topics: function and derivative function; Special topics on plane vectors and trigonometric functions; Special topics on plane vectors and analytic geometry; Special topics on space vectors and solid geometry; Special topics on probability and statistics; Sequence and inequality problems, etc. Through the review of these sections, the goal is to improve students' ability to answer questions in the college entrance examination.
At this stage, students should not indulge in the practice of examination papers, but should take typical examples as the carrier, take the flexible use of mathematical thinking methods as the clue, highlight the problem-solving strategies, and improve their mathematical quality obviously on the basis of the first round of review. It is worth noting that students should carefully read the "Examination Outline" and check for leaks.
The final sprint: thoroughly understand the real questions of the college entrance examination and review the textbook definition theorem.
While reviewing special topics, we should combine comprehensive exercises. To do the problem, you must first choose a topic. The college entrance examination questions must be the best exercises! Therefore, it is suggested that we must do a good job in the college entrance examination papers in the last ten years, including national papers and local papers. Secondly, it is best to find the simulated test questions in the last five years and consolidate the test sites reviewed before in the process of doing the questions.
At the same time, don't forget the textbook in the final review, especially before the exam. Open the textbook again to see the formulas and theorems in it, and do the typical examples again, because the examples in the book are relatively simple after all. Doing examples before the exam is to prevent students from being unfamiliar and facilitate the normal play of the college entrance examination. First of all, it helps to improve our self-confidence.
Wish you success!