Problem-solving skills of mathematics fill-in-the-blank questions in senior high school entrance examination
I. Direct method
This is the basic method to solve the fill-in-the-blank problem, starting directly from the problem setting conditions, using the knowledge of definition, theorem, nature, formula, etc., and directly obtaining the result through the processes of deformation, reasoning and operation. It is the most basic and commonly used method to solve fill-in-the-blank problems. To solve the fill-in-the-blank problem by direct method, we should be good at seeing the essence through phenomena, skillfully use the methods of solving equations and inequalities, and consciously adopt flexible and simple solutions.
Second, professional methods.
When the conclusion of the fill-in-the-blank question is unique or the information provided in the question setting conditions implies that the answer is a fixed value, and the known conditions contain some uncertain quantities, we can select some appropriate special values (or special functions, or special angles, special positions, special points, special equations, special models, etc. ) that is, meet the conditions to deal with the uncertainty in the problem, so as to draw the conclusion of exploration. This can greatly simplify the process of reasoning and argumentation.
Third, the combination of numbers and shapes.
"It is not intuitive to count the missing shapes, and it is difficult to be nuanced when counting the missing shapes." The problem of large numbers in mathematics implies the information of shapes, and the characteristics of figures also reflect the relationship between numbers. It is necessary to reveal the abstract and complex quantitative relationship through the intuitive image of form, so as to achieve the purpose of "form helps number"; At the same time, we should use the law of numbers and numerical calculation to find ways to deal with shapes and achieve the goal of "promoting shapes by numbers" For some fill-in-the-blank questions with geometric background, if we can think of the shape in the number and help the number with the shape, we can often solve the problem simply and get the correct result.
Fourthly, equivalent transformation method.
By "simplifying complexity and turning strangeness into familiarity", the problem is equivalently transformed into an easy-to-solve problem and the correct result is obtained.
Keep in mind three elements in math review for senior high school entrance examination.
First, pay attention to textbook knowledge: the study of any subject is the same, and mathematics is no exception. This "sect" in mathematics is the textbook, because all the learning knowledge comes from the textbook, and the content of the exam is higher than that of the textbook, but the basic knowledge points will not change. Examination questions are derivatives of textbook knowledge. We should dig out the things behind the test questions bit by bit and find out which part is the focus of the test. So don't lose your textbooks, and don't blindly do some test questions, ignoring the fundamentals of textbooks. Especially when learning new knowledge, we must make sure to understand the knowledge points and examples in the textbook and do every exercise after the book carefully, so that we can say that we have basically mastered this part of knowledge.
In the summer vacation, I believe many students will preview what they want to learn. Many students have a misunderstanding when previewing mathematics, that is, they think they have previewed the book. I think only when reading a book can we solve the supporting exercises in each section of the textbook be considered as a real preview, because now the mastery of mathematical knowledge is finally appropriate.
Second, learn to correct mistakes: in the process of learning mathematics, everyone will make mistakes. Making mistakes is normal, not terrible. The terrible thing is that many students make mistakes again and again, which involves the problem of correct correction. Summer vacation is abundant, which is a good opportunity for us to correct our mistakes. However, correcting mistakes in mathematics is definitely not simply correcting numbers with a red pen. Correct error correction must first find out where you are wrong, whether you have a problem with the analysis of the topic or an error in the operation process. Secondly, everyone should keep his mistakes in mind, strengthen his memory from time to time and correct the wrong ideas in his mind. If possible, parents can copy the mistakes made by their children every day in a separate notebook and let them do it again regularly, which will be better.
Third, do a good summary: summary after learning is an important part of learning, and summary is the process of knowledge sublimation. Many students also know the summary, but many people don't know what to summarize. Here, I suggest that students use the summer vacation time to sum up the following points:
1. summarize the old knowledge structure. Every chapter of mathematics has a knowledge system, and everyone should sum up this knowledge system and use it to memorize and master various theorems and knowledge points of mathematics.
2. Summarize your mistakes. You can recall your mistakes again and see where you have recurring problems. Often recurring problems are their own learning loopholes. If there is something wrong with the operation, strengthen your computing ability. If there are loopholes in the knowledge, review the knowledge again and do some exercises with it appropriately.
Standardized skills of mathematics answering questions in senior high school entrance examination
First, the answering tool
When answering multiple-choice questions, be sure to fill in with a qualified 2B pencil. If you need to modify the answer, clean it with a drawing board, and be careful not to scratch the answer sheet. It is forbidden to use correction fluid, correction tape or transparent tape to correct mistakes. Must be answered with 0.5 mm black ink pen. Drawing questions can be drawn with a pencil first, and then clearly drawn with 0.5 mm black ink after confirmation.
Second, the answering rules and procedures
First choose multiple-choice questions, fill in the blanks, and then answer them.
(2) Fill in first and then answer.
(3) Easy first, then difficult.
Third, the answer position
Answer in the designated answer area according to the question number. If you need to modify the answer, you can cross out the content to be modified and write a new answer directly above or below. The modified part, like the text, cannot exceed the black rectangular border of the answer area, otherwise the modified answer is invalid.
Fourth, the problem-solving process and writing format requirements
The requirement for choosing fill-in-the-blank questions in the exam instructions is "correct, reasonable and fast". Therefore, the basic strategies for solving problems are: operate quickly and avoid making a mountain out of a molehill;
Stability-deformation should be stable to prevent impact;
Complete-the answer should be complete, avoiding being right and incomplete;
Live-live to solve problems, don't copy them mechanically;
Careful-careful examination of the questions, not sloppy.
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