By studying the notes of Tianjin paper of the 20 1 1 national unified entrance examination for colleges and universities, we can find that the change of mathematics in the college entrance examination this year lies in the structure of the test paper. The whole volume includes volume one and volume two, volume one is multiple-choice and volume two is non-multiple-choice The test paper adopts multiple-choice questions, fill-in-the-blank questions and solutions. The number of multiple-choice questions was changed from 10 in previous years to 8, and the score of each question was still 5 points, and * * * was 40 points; The number of fill-in-the-blank questions is still 6, and the score of each question has changed from 4 points in previous years to 5 points, and * * * counts as 30 points; The number of problem-solving is still six, and the score of each of the first four small questions has changed from 12 in previous years to 13, while the score of the last two small questions is still 14, accounting for 30 points, and the total score of the whole volume is 150. To put it simply, this year's college entrance examination math paper has two fewer multiple-choice questions than in previous years, and more 10 points, six fill-in-the-blank questions each 1 point, and the first four answers each 1 point. So what changes will this change in the test paper structure bring to the test paper? Look at the multiple-choice questions first. According to the statistics of previous years, in the multiple-choice questions of 10, the proportion of simple questions, medium questions and difficult questions is generally 6:3: 1, and the overall score rate should be around 0.75. This year will be changed to eight multiple-choice questions. It is estimated that the proportion of simple questions, medium questions and difficult questions is 5: 2: 65,438+0, and the overall score rate remains unchanged. Looking at the fill-in-the-blank questions again, among the six fill-in-the-blank questions in previous years, the ratio of short answers, medium questions and difficult questions is generally 3:2: 1, and the overall score rate should be between 0.5 and 0.6. Therefore, 5 of the 6 points added to the fill-in-the-blank questions were added to the short answer questions and the medium difficulty questions. Finally, look at the solution. Generally, the first three questions in solving problems should be trigonometric function, probability and solid geometry. The difficulty coefficients of these three questions are all above 0.7, which belongs to simple questions. The fourth question is generally about analytic geometry or derivative, and the difficulty coefficient is generally above 0.4, which is a medium difficulty question. As can be seen from the above analysis, among the 10 points assigned to fill-in-the-blank questions and solutions, the simple questions are added with 6 points, the moderately difficult questions are added with 3 points, and the difficult questions are added with 1 point. How should college entrance examination review deal with this change? Give the students the following suggestions: 1. Strengthen the implementation of basic knowledge and methods of mathematics. As can be seen from the previous analysis, of the 10 points allocated to fill-in-the-blank questions and solutions, 9 points are added to simple questions and moderately difficult questions. These scores are used to examine the basic knowledge and methods, so we should pay attention to the implementation of double bases in the review process. 2. Review key knowledge. The college entrance examination attaches great importance to the review of main knowledge: algebra focuses on functions, sequences, inequalities, triangles and other main contents; Solid geometry focuses on the relationship between line and surface, the calculation of space angle, area and volume, and science focuses on the application of coordinate method (that is, vector); Analytic geometry focuses on the positional relationship between straight lines and conic curves; The investigation of new contents such as vector, probability, statistics and derivative has not only maintained a high proportion, but also reached the necessary depth. These backbone knowledge has become the main body of the college entrance examination proposition. According to the characteristics of mathematical propositions in previous years' college entrance examination, although we don't deliberately pursue the percentage of knowledge points, we should ensure that the main knowledge supporting the mathematical knowledge system has a high proportion, that is, we should focus on mastering key knowledge. Therefore, it can be predicted that the mathematics proposition of 20 1 1 is still to strengthen the main knowledge and highlight the new content. 3. Grasp the basics and the direction (1) Pay attention to the study of the exam outline and exam instructions (subject to 20 1 1 year). These two books are the basis of the college entrance examination proposition, and they are the specific provisions and explanations for answering three questions: what to test, how much to test and how to test. (2) Attach importance to the exemplary role of teaching materials. Senior three review time is tight, the task is heavy, and there are many contents, but it must not be separated from the teaching materials. On the contrary, we should stick to the outline, grasp the teaching materials, grasp the teaching materials as a whole, and make clear the position and role of each chapter in the whole. Looking at the college entrance examination questions in recent years, every year's questions are closely related to the teaching materials. Some are slightly modified and deformed as college entrance examination questions, and some are reasonably pieced together to form college entrance examination questions. The textbook also contains a lot of mathematical thinking methods and problem-solving skills. Take the sequence of numbers as an example, in which arithmetic progression's first n terms and formulas are derived by "inverse addition", and geometric progression's first n terms and formulas are derived by "dislocation subtraction" and mathematical ideas of classification discussion. 4. Pay attention to the training of exam-taking skills. Although we can't be slaves to exams, proper exam training is essential. In the usual review exam, we should: (1) change the questions, and strive not to lose points-standardize the expression and skip fewer questions; (2) strive for less points for medium-sized questions-write clearly at the score point; (3) Strive for more than difficult problems-know a little and write a little; (4) Overcome the problem of "meeting but not right, right but not complete"; 5. Correctly handle the relationship between difficult questions and easy questions; Learn to allocate examination time. Zhang Guangtags, Hexi Education Center: Interpretation of College Entrance Examination Guidance 20 1 1 Tianjin College Entrance Examination