On May 13, Zhang Tiande, the leader of the marking group of the college entrance examination in Shandong Province and a professor at the School of Mathematics of Shandong University, gave a special report to the candidates of the college entrance examination in the academic lecture hall of Rizhao Experimental High School. Professor Zhang, combined with his many years' experience in tutoring and marking papers, provides suggestions for teachers and students to prepare for the exam from the aspects of the overall analysis of the college entrance examination mathematics papers, the principles of the college entrance examination proposition, the trend of the proposition and the prediction of the examination questions. At the same time, Professor Zhang also stressed that all candidates should strengthen psychological quality training and meet the college entrance examination with a normal heart.
Test analysis
All kinds of questions in the college entrance examination are basically fixed
Professor Zhang Tiande said that for the mathematics college entrance examination, students should first be familiar with the basic questions, and grasp all kinds of knowledge points while grasping the key points. At the same time, we should pay attention to mastering the basic knowledge and mastering the exercises and their deformation after class.
All kinds of questions in the college entrance examination papers are basically fixed. Professor Zhang Tiande said that in the mathematics college entrance examination papers, multiple-choice questions and fill-in-the-blank questions are often used to examine various basic knowledge points, and the difficulty is not too great. According to the experience over the years, there will be many problems mainly in the nature of functions. In addition, knowledge points such as complex number operation, solid geometry, trigonometric function and conic curve will also have scattered questions. It will also examine the filling, probability and arrangement of program design and flow chart.
In multiple-choice questions and fill-in-the-blank questions, there are generally conic curves, solid geometry, trigonometric functions and inequalities. The solutions are basically trigonometric functions, probability, solid geometric series, conic curves, derivatives and other knowledge points. Professor Zhang Tiande emphasized to the candidates that the questions and knowledge points of these compulsory and routine exams must be well mastered, and the corresponding questions must be proficient and firmly grasp these basic knowledge points.
Professor Zhang Tiande said that this year's college entrance examination questions may have one or two questions related to reality. But in the final analysis, this kind of questions are still the knowledge and methods learned in the exam, which only turn the actual problems into mathematical models, that is, the questions that have been done and seen at ordinary times. Candidates don't have to be nervous, as long as they firmly grasp the knowledge points and use them flexibly.
Answering skills
Learn to choose and allocate the answer time reasonably.
Generally speaking, if you want to do well in the college entrance examination, you must have solid basic knowledge and a certain amount of practice, supplemented by some problem-solving methods and examination skills. Professor Zhang said that in previous years, many students complained that the exam time was not enough, which led to the lack of time to do all the questions they could do, and they felt very lost. He said that the college entrance examination is about personal ability, requiring candidates not only to do questions, but also to answer accurately and quickly. Only in this way can they finish within the specified time and get higher scores. Therefore, it is very necessary for most college entrance examination students to develop fast and accurate problem-solving habits and master problem-solving skills skillfully.
Professor Zhang said that the college entrance examination is only less than a month away. In this last period of review, students should return to basic questions, sum up past experience, and try not to lose points in basic tests such as fill-in-the-blank questions and multiple-choice questions. We should go all out for each big question, grasp the first few difficult problems, solve the problems in detail, standardize the details of the answer, and ensure that the points that should not be lost must not be lost. At the same time, we should be good at analyzing the starting point and scoring point of the questioner and get as many points as possible.
Willing to throw big questions that you can't do. Zhang Tiande said, first of all, grasp the low-level problems, and one point is one point for the difficult problems, but don't blindly fall into it and waste a lot of time. If you only want to get about 135, just ask the first two big questions. One month before the college entrance examination, we should be prepared, study more and pay more attention to its deformation test. Mastering skills is very important. In addition, in the usual practice, candidates should not be measured by the amount of questions, but by the effect of answering questions, so as to truly master themselves. The key to doing the problem is to be precise. Doing one thing is one thing, and it is important to be able to draw inferences.
solid geometry
Memorize the conclusion and solve the fill-in-the-blank questions skillfully.
For solid geometry, we should do some routine things thoroughly and master the knowledge points skillfully. In the report, Professor Zhang Tiande explained the problem-solving method of solid geometry in detail. He said that in solid geometry problems, many conditions given by the problem often have some fixed or commonly used usages, and with these, the correct problem-solving ideas can be found quickly.
A common problem in solid geometry is to find dihedral angle. The first step is how to make or find this dihedral angle. If the dihedral angle in the figure is known, it is relatively simple; If you want to make it, you need to use the three perpendicular theorems or its inverse theorems, and isosceles triangles are often skillfully used to make dihedral angles because of the coincidence of the middle line and the high line. Professor Zhang Tiande said that after a lot of practice, candidates can sum up the common and possible methods to find dihedral angles. When they encounter such problems in the exam, common methods can immediately come to mind, and then they will quickly find a solution to the problem.
In addition, in the practice of solid geometry before the exam, it is also necessary to summarize and study some common and frequently-tested graphics problem-solving ideas. Such as cubes, cuboids, vertebral bodies, prisms, etc. Because they contain many parallel and vertical relationships between lines and surfaces, it is convenient to do problems. Therefore, remembering and mastering some conclusions is also very helpful for doing some solid geometry problems, especially multiple-choice questions and fill-in-the-blank questions. Remember some conclusions, sometimes you can get the correct answer after reading the questions, which is very important in the college entrance examination scene where time is tight.
Test preparation sprint
Write an analysis report after the simulation test.
Poor basic computing ability, poor drawing and spatial imagination ability, insufficient transformation ability and poor purpose of solving problems. When talking about the shortage of students in the current college entrance examination, Professor Zhang said. In view of this phenomenon, he suggested that in the final sprint stage of the exam, candidates should take the test questions as the standard and choose the simulated test questions according to the nature, content, structure and type of the college entrance examination papers. Write an analysis report after each exam. The analysis report includes four aspects: the number of points lost, the knowledge points lost, how to remedy them, and the time allocation. Through such a report, I can understand my mastery of the skills and thinking methods of the college entrance examination mathematics, and make a targeted final remedy.
As the college entrance examination approaches, it is normal for students to feel restless. Professor Zhang Tiande said that it is normal for most candidates to feel nervous on the eve of the college entrance examination. But at the same time, candidates should consciously strengthen psychological quality training and test-taking skills training, reduce the mystery of test papers, and meet the college entrance examination with a normal heart. Through the continuous training of the simulated test questions before the exam and the detailed answers of the analysis report, most candidates can face the college entrance examination papers with confidence. Good psychological quality is based on usual accumulation and study. One week before the exam, students can repeatedly study their own analysis reports, know their own shortcomings, and try to avoid losing points in the familiar questions in the college entrance examination.
Mathematics review: how to get high marks in the face of difficult problems in the examination room
After you get the test questions, don't rush for success, but solve the problems immediately. Instead, we should browse the whole set of questions, understand them thoroughly, and then firmly grasp one or two simple and easy-to-learn questions, so as to have a good start, stimulate spirit and confidence, and quickly enter the best thinking state.
First, adjust the brain thinking and enter the mathematical situation in advance.
Before the exam, we should abandon distracting thoughts, eliminate distracting thoughts, leave the brain in a blank state, create mathematical situations, then brew mathematical thinking, enter the role ahead of time, remind important knowledge and methods by counting utensils, remind common misunderstandings and mistakes in solving problems, and carry out targeted self-comfort, so as to reduce stress, go into battle lightly, stabilize emotions, enhance confidence, simplify thinking and make math, and prepare for the exam with a stable, confident and positive attitude.
Second, tight inside and loose outside, concentrate on eliminating anxiety and stage fright.
Concentration is the guarantee of success in the exam. A certain degree of nervousness and nervousness can accelerate the nerve connection, which is conducive to positive thinking. It is called internal tension, but if you are too nervous, you will go to the opposite side, forming stage fright, causing anxiety and inhibiting thinking. So be sober, happy and open-minded, which is called external relaxation.
Third, calmly facing the battle and ensuring victory will help to cheer up the spirit.
A good beginning is half the battle. From the psychological point of view of examination, this is indeed very reasonable. After getting the test questions, don't rush for success, solve the problem immediately. Instead, we should browse the whole set of questions, get to know the situation of the questions, and then firmly grasp one or two simple and easy-to-learn questions, so as to have a good start, thus inspiring the spirit, inspiring confidence, and quickly entering the best mental state, that is, exerting psychology.
Four, six before six, because people are suitable for rolling.
After reviewing the whole volume and successfully completing the simple questions, the mood tends to be stable, the situation tends to be single, the brain tends to be excited, and the thinking tends to be positive. Then there is the golden season of exerting the ability to solve problems on the spot. At this time, candidates can choose to implement six first and six second tactical principles according to their own problem-solving habits and basic skills, combined with the structure of the whole set of questions.
1. Easy first, then difficult. Is to do simple questions first, and then do comprehensive questions, should be based on their own reality, decisively skip the topics that can't be chewed, from easy to difficult, but also pay attention to take every question seriously, strive for practical results, and can't just skim through it and retreat when it's difficult, which hurts the mood of solving problems.
2. Mature first and then grow. Looking at the whole volume, we can get many favorable positive factors and some unfavorable factors. For the latter, there is no need to panic. We should think that the test questions are difficult for all candidates. Through this hint, you can ensure emotional stability. After grasping the whole volume as a whole, you can implement the strategy of pre-ripening, that is, you can do those questions with familiar content, familiar question structure and clear solution ideas. In this way, while winning familiar questions, you can make your thinking fluent and extraordinary, and achieve the goal of winning advanced questions.
3. Similarity before difference. Doing the same topic in the same subject first, thinking more deeply, exchanging knowledge and methods easier, is conducive to improving the efficiency of unit time. The college entrance examination (forum) questions generally require that the focus of excitement be shifted quickly, the first one is the same, and the second one is different, which can avoid the focus of excitement jumping too fast and too frequently, thus reducing the burden on the brain and maintaining effective energy.
4. Be small first and then big. Small problems are generally small in information and calculation, easy to grasp and should not be easily let go. We should strive to solve major problems as soon as possible before they appear, gain time for solving major problems, and create a relaxed psychological foundation.
5. order the back one first. In recent years, most of the math problems in the college entrance examination are gradient problems with multiple problems. When you answer, you don't have to do it in one go, but you have to solve it step by step. The solution of the previous problem prepares the thinking foundation and problem-solving conditions for the later problem, so you should step by step, from point to surface.
6. First high, then low. That is, the second half of the exam, we should pay attention to time efficiency. If it is estimated that you can do both questions, then do the high score questions first. It is not easy to estimate the two questions, so the high-scoring questions are graded in sections first, and the scores are increased on the premise of insufficient time.
Five, a slow and fast, complement each other.
Some candidates only know that the examination room should be fast, and as a result, the meaning of the question is unclear and the conditions are incomplete, so they are eager to answer. Don't you know that haste makes waste, and as a result, their thinking is blocked or they walk into a dead end, leading to failure. It should be said that the questions should be slow and the answers should be quick. Examination of questions is the basic project of the whole problem-solving process, and the questions themselves are the source of information on how to solve problems. We should fully understand the meaning of the question, synthesize all the conditions, extract all the clues, form an overall understanding, and provide a comprehensive and reliable basis for the formation of problem-solving ideas. Once an idea is formed, it can be completed as quickly as possible.