This year's college entrance examination paper structure has inherited the proposition that Tianjin college entrance examination should focus on stability, and the distribution of questions and the setting of test sites have not changed much. Strictly follow the test contents specified in the test instructions, accurately grasp the test requirements, and pay attention to both comprehensiveness and focus in the examination of basic knowledge.
Each type of test paper has a large number of basic questions, many of which are set at the intersection of a single knowledge point or the most basic knowledge. For example, the multiple-choice questions 1, 2, 3, 4, fill-in-the-blank questions 9, 10,1and 12 in the test paper are all.
The examination paper also pays attention to ensure that the main contents supporting the mathematical knowledge system (such as trigonometric function and plane vector, probability statistics, solid geometry, analytic geometry, sequence and function and derivative) occupy a high proportion.
The following table is the score statistics of the main modules of Tianjin College Entrance Examination in recent four years:
As can be seen from the above table, we will find that trigonometric functions are the absolute focus of high school learning, and the overall weight change is not particularly obvious in recent years. This also shows that candidates should prepare for the exam according to the outline, put more energy into the key basic knowledge in the outline, and conduct targeted review.
This year's college entrance examination paper still highlights the principle of consistency between examination and teaching. Many questions in the test paper come from the textbook, and some questions can be seen in the textbook as examples, exercises and exercises. This practice is conducive to the return of middle school teaching to teaching materials,
To truly realize what to teach and what to test, it also requires future students to pay attention to the important role of teaching materials and think comprehensively about the knowledge of teaching materials when studying or preparing for exams.
One is to reduce the number of medium-sized topics and emphasize general methods.
Another notable feature of the 20 14 Tianjin college entrance examination is that the proportion of equal questions in the examination paper is declining, and it gradually returns to the foundation on the premise of ensuring good discrimination and selection functions. In the test proposition, we pay attention to the low starting point and wide entrance of solving problems, emphasize the application of "general methods" in solving problems, and require the use of basic concepts to analyze problems, use basic formulas to solve problems, and use basic theorems to reason and demonstrate. These requirements are reflected in each problem, but each has its own emphasis. At the same time, candidates are also required to use basic mathematical thinking methods to find solutions. For example, the seventh question in the test paper needs to be classified, discussed and analyzed according to the absolute value in the question, while the 14 question needs to be considered by transforming the zero point problem of the function into the intersection point problem of the function image. The examination paper emphasizes universality and generality, which is conducive to guiding middle school mathematics teaching to return to the foundation.
Second, focus on ability and conception, and pay more attention to innovation.
Tianjin mathematics test questions reflect various ability requirements stipulated in the test instructions. The ability of calculation and solution runs through the test paper, and the ability of spatial imagination reaches a certain depth. Reasoning ability and abstract generalization ability are still the focus of examination, which plays an important role in distinguishing candidates. The test paper still pays attention to the examination of application consciousness and innovation consciousness, such as 16, and examines the simple application of probability knowledge in practical problems with the background of practical problems; 7, 14, 20 questions are relatively novel, to examine students' innovative consciousness.
In addition to the above points, the biggest highlight of this year's Tianjin volume is the introduction of innovative questions. After years of trying and exploring in other provinces and cities such as Beijing, this type of question has been initially formed and gradually formed a proposition trend. This kind of question type is characterized by abstract stem, which requires candidates to have strong understanding, and at the same time, on the basis of accurate understanding of the meaning of the question, comprehensively use the corresponding knowledge to solve the problem. For example, 19, the setting environment is introduced into the series of questions, and the questions are asked from a brand-new angle, focusing on the examinee's understanding of the questions. The enumeration of the question 1 is helpful for candidates to understand the meaning of the question, while the novelty of the second question is to ask candidates to construct the differences between them, which is the basis for substantive analysis of the inequality relationship between them, and the extreme treatment of this difference is to prove the basic skills of inequality by scaling. This question requires candidates to have strong information translation ability and rigorous argumentation ability, and it is a good innovative test question. In the past college entrance examination in Tianjin, the finale questions were basically routine questions, and such innovative questions were rarely involved.
From the above changes, it is not difficult to see that the future Tianjin college entrance examination will insist on and further improve the examination of application consciousness and innovation consciousness, which also requires local candidates to broaden their horizons in the process of preparing for the exam, and take into account the cultivation of innovation consciousness while based on teaching materials and basic questions. As the trend of the national college entrance examination, innovative questions are expected to occupy a place in the Tianjin college entrance examination in the future, and local candidates are also expected to prepare in advance.
Third, the difficulty is reasonable, which is conducive to the selection of the college entrance examination.
The distribution of mathematics test questions in Tianjin college entrance examination is from easy to difficult, step by step. Choosing fill-in-the-blank questions focuses on basic knowledge and basic operation, answering the first four questions focuses on the ability to comprehensively apply basic knowledge and basic methods, and the last two questions focus on students' thinking ability and inquiry ability. The overall difficulty distribution of the test paper is relatively gentle, the calculation amount is moderate, and all kinds of test questions are from easy to difficult, with a good gradient, which has achieved the fundamental purpose of selecting the college entrance examination.
By reasonably setting the difficulty of choosing fill-in-the-blank questions in the test paper, the purpose of examining the ability of candidates is achieved; Moreover, the function of distinguishing candidates at different levels is also strengthened through the setting of answers from shallow to deep, such as 18 and 20 questions, which are relatively easy to get started, but difficult to go deep. For example, the 20 th question is concise and the questions are atmospheric, so students will not have any difficulty in reviewing the questions. 1 requires candidates to understand the relationship between monotonicity of functions and the existence of zeros, so as to establish inequalities to determine the range of parameters; However, in order to explore the changing law of the ratio of two roots and the sum of two roots in the last two questions, candidates need to consider the range of parameters in the conclusion of the previous question and link it with the function value domain, so as to construct a function according to the equivalence relationship of parameters at zero. On the whole, the second question depends on the conclusion of 1, and the third question depends on the conclusion of the second question. The propositions are interlocking and the logic is clear. Candidates are required to have strong abstract generalization, reasoning, argumentation and problem-solving skills. At the same time, students' intuitive consciousness is examined, which has good discrimination and selectivity.
The above is the author's analysis of this year's college entrance examination mathematics paper. It can be seen that the paper itself is very successful, which shows that the proposer considers the problem thoroughly when doing the problem. For candidates, as long as they review well before the exam and have a peaceful mind, I believe they can all achieve good results. At the same time, many characteristics and changes reflected in the examination paper are also worthy of more attention and consideration by future candidates.
Finally, the author sincerely wishes the majority of students can achieve excellent results and be admitted to an ideal university. At the same time, I hope that the new senior three students who are about to fight for the 20 15 college entrance examination can redouble their efforts, make steady progress and achieve excellent results in the college entrance examination.