□ Examination Research Center of National Learning Research Association 1. In recent years, the center of mathematics proposition in college entrance examination is mathematical thinking method, and the examination proposition has four basic points: 1. In the basic test ability, this is mainly reflected in multiple-choice questions and fill-in-the-blank questions. 2。 The comprehensive ability of the senior high school entrance examination is mainly reflected in the last three questions. 3。 In the application of the ability of the senior high school entrance examination, there will be one or two questions about popular mathematics in the fill-in-the-blank multiple-choice questions, and there will be an application question in the big questions. 4。 Test ability in new questions. The center of this "four-test ability" is to examine mathematical thinking methods. Second, the characteristics of the question type 1. Multiple choice questions (1) are conceptually strong: every term, symbol and even idiom in mathematics often has a clear and specific meaning. This feature is reflected in the multiple-choice question, which shows that the concept of the question type is very strong. The presentation of test questions and the transmission of information are based on the discipline rules and habits of mathematics, and will never be unconventional. (2) Outstanding quantity: The study of quantity relation is an important part of mathematics, and it is also a major content of mathematics examination. Quantitative questions account for a large proportion of multiple-choice mathematics questions in the college entrance examination. Moreover, many multiple-choice questions are quantitative in form, but in fact they are not simple or mechanical calculation questions, and often contain an examination of concepts, principles, properties and laws. This examination is closely combined with quantitative calculation, forming the characteristics of quantitative outstanding questions. (3) Full of speculation: This feature stems from the high abstraction, systematicness and logicality of mathematics. As a multiple-choice math problem, especially for selecting exams, there are not many questions that can be answered correctly only by simple calculation or intuitive perception, which can almost be said to be non-existent. In most multiple-choice questions, in order to answer correctly, candidates are always required to have certain ability of observation, analysis and logical reasoning, and speculative requirements are filled between the lines of the questions. (4) Both form and number: the research object of mathematics is not only number, but also figure. The discussion and research of logarithm and figure are not carried out in isolation, but combined and dialectical. This feature has been fully demonstrated in senior high school mathematics. Therefore, in the mathematics multiple-choice questions of the college entrance examination, it embodies the characteristics of both shape and number, which shows that algebra questions are often hidden in geometry multiple-choice questions, and geometry questions are often contained in algebra multiple-choice questions. Therefore, the combination of numbers and shapes and the separation of numbers and shapes are important and effective thinking methods and problem-solving methods for multiple-choice questions in mathematics in college entrance examination. (5) Diversification of solutions: Compared with other disciplines, the phenomenon of "multiple solutions to one problem" in mathematics is outstanding. In particular, the multiple-choice questions in mathematics, because of their options, provide rich and useful information for the answers to test questions, which is quite enlightening, showing a broad world for problem-solving activities and greatly increasing the ways and methods of answering questions. Very clever solutions are often hidden among them, which is conducive to examining the depth of thinking of candidates. 2。 Fill-in-the-blank questions and multiple-choice questions belong to objective questions, and they have many common characteristics: short and pithy forms, focused examination objectives, short and clear answers, no need to fill in the problem-solving process, and objective, fair and accurate grading. But there is a qualitative difference between fill-in-the-blank questions and multiple-choice questions. First of all, there is no substitute for filling in the blanks. Therefore, the answer has the advantage of not being disturbed by induced errors, and it also lacks the help of hints. Candidates' ability to think and solve problems independently will be higher. For a long time, the correct answer rate of fill-in-the-blank questions has been lower than that of multiple-choice questions, which may be an important reason Secondly, the structure of fill-in-the-blank questions is often in a correct proposition or judgment, in which some contents (both conditions and conclusions) are removed, leaving room for candidates to fill in independently and the examination method is more flexible. In reading comprehension of topics, it sometimes seems more difficult than multiple-choice questions. Of course, this is not always the case, it will depend on the design intention of the proponent. There are few test sites and concentrated goals in the fill-in-the-blank questions, otherwise the discrimination of the questions is poor, and its test reliability and validity are difficult to be guaranteed. This is because: if there are many test sites, the answering process is long, and there are many factors that affect the conclusion, then it is difficult for candidates who answer wrong to know the real reason for their mistakes. Some of them may be ignorant and make mistakes at the beginning, and some may just make mistakes at the last step, but they show the same situation on the answer sheet and get the same result, although the level is very different. 3。 Compared with fill-in-the-blank questions, answering questions is to provide questions, but there are also essential differences. First of all, when answering questions, candidates should not only provide the final conclusion, but also write or tell the main steps of the answering process and provide reasonable and legal explanations. There is no such requirement for fill-in-the-blank questions. Just fill in the results and omit the process. The results should be concise, general and accurate. Secondly, the content and answers of the test questions are much richer than the fill-in-the-blank questions. There are relatively many test sites for solving problems, which are comprehensive and difficult. The evaluation of the result of solving problems depends not only on the final conclusion, but also on the process of deduction and demonstration. Scores are evaluated according to the situation to reflect their differences, so the freedom of solving problems is much greater than that of filling in the blanks. Third, the deep structure of the college entrance examination papers According to the characteristics of the questions, the structure of the college entrance examination papers is very clear, and we are divided into three sections: Fourth, how to break through 120 points. Because the basic ability of the senior high school entrance examination is strong, we should pay attention to quick and ingenious problem-solving methods and complete all the selected fill-in-the-blank questions in about 30 minutes, which is the key to winning high marks. The second paragraph is the first three questions, and the score is less than 40 points. So the total score of the first two stages is about 1 10. The third paragraph is the final "three difficulties" question, with a score of less than 40 points. The "three difficulties" are not all difficult. The score of difficulty questions is only 12 to 18, and the average score of each question is only 4 to 6. First of all, we should get 12 to 20 points in the "three difficulties" problem, and the most difficult step is to fight for it. This is the best problem-solving strategy based on the deep structure of the test paper. So just making choices, filling in the blanks and the first three big questions are not comprehensive enough. Because the easy part of the "three difficulties" problem behind is easier than the basic part in front, you must be determined to win. When reviewing, according to your own situation, if you have a good foundation, try to choose first, and fill in the first three big questions to get full marks. Then, improve the ability to answer the "three difficult" questions and strive for 20 to 30 points for the "three difficult" questions. In this way, your total score can exceed 130 and sprint to 145. So the ideal scoring scheme is: 5. From now on, you must ask yourself to fill in the blanks for one minute. Solving the problem of filling in the blanks at high speed by mathematical thinking. Be careful not to do stupid things, and learn to be smart. Choosing to fill in the blanks and the first three solutions are the basic points of mathematics. The last three questions are not just the first question. We should guess the grading standard from front to back according to the steps and strive for high scores. We should use the spirit of "pig eight quit" to overcome the difficult problem. Arch from front to back, you can often arch to 4 points first, then arch forward to 8 points until 10 points, and finally forget the remaining 2 points and 4 points. Because the scores at the back are difficult, you need a genius. In this study of college entrance examination, 8 sets of multiple-choice questions and 4 sets of middle-answer questions were selected, and the time limit was made (suggested). The difficulty is progressive, please complete it according to your actual situation.