The mathematical difficulty ratio of NMET is 7: 2: 1, which means that 80% of them are basic questions. However, the college entrance examination scored the highest in mathematics. 90% students lack a set of scientific and efficient methods and steps to solve problems, especially in the sprint stage! Then I will share with you some steps to solve the multiple-choice questions in mathematics in the college entrance examination, hoping to help you. Step 1. Breakthrough operation is the cornerstone of solving problems in the examination room. The operation ability is not enough, and the problem can't be solved to the end. It is estimated that most senior three students have some operational problems, but they are trying to improve, because it is recognized as the "foundation" and no one has any information to explain it. If so, many questions are put together. This is the main reason why many students have been unable to improve their operation. 2. Breakthrough concept formula diagram has been summarized in detail in textbooks or materials, but the content summarized in the general formula book for solving problems in senior one and senior two is basically ok, but when entering senior three, with the complexity of the topic, you will find that the content in the textbook or formula book is far from enough. I will give some simple examples from senior one textbooks, such as the parity and periodicity of functions, which may involve many books or general conclusions. This needs to be summed up by yourself. Another example is the zero theorem of functions, which is only a sufficient condition but not a necessary condition. What needs to be added to become a necessary and sufficient condition? Another example is space geometry, which often needs to be captured inside and outside. You may calculate it. However, if we don't sum up the calculation formula of the catch radius inside and outside the examination room, we may eventually make mistakes because of time and tension. At the same time, the graphics involved in the exam may not be completely familiar with the textbook, but the extension of the basic graphics in the textbook. What is an extended graph? Let me give you a simple example. If everyone can draw a straight line, add an absolute value to X or Y, or add an absolute value to X and Y at the same time. Can you still draw its graphics? Another example is the inverse proportional function y= 1/x, the extended graph y = 2x+ 1/x, y =-2x+ 1/x, y = (-2x+ 1)/(x+3) and so on. Do you know that?/You know what? 3. Breaking through the choice of multiple-choice questions occupies half of the country in the exam. The solution of multiple-choice questions will directly affect the planning of the whole test paper, so how to improve the efficiency of solving multiple-choice questions in a short time is an unavoidable practical problem. So how to break through multiple-choice questions? Breakthrough multiple-choice questions mainly include: option characteristics, quick calculation skills of multiple-choice questions, characteristics and solutions of multiple-choice questions, and special conclusions of some common multiple-choice questions. 4. Breakthrough problem solving is another kind of problem we encountered in the exam, but its solution is different from multiple-choice questions. Because of the particularity of solving problems in college entrance examination, we can get satisfactory scores through some strategies. Generally speaking, the problem-solving type of NMET is basically fixed, so we can solve it quickly through some conclusions, special formulas, general problem-solving ideas and templates combined with four-step problem-solving ideas. Methods and skills of multiple-choice mathematics questions in college entrance examination 1: direct election method-simple and intuitive. This method is generally suitable for simple problems that basically do not need "transformation" or reasoning. These questions mainly examine candidates' memory and understanding of physical recitation content, and belong to common sense topics. Level 1 requirements in the unified examination syllabus. Two: Comparative exclusion method-exclusion of dissidents This method should exclude obviously wrong or unreasonable alternative answers one by one according to the requirements of the topic on the basis of reading the meaning of the topic, and finally leave only the correct answer. If the option is completely positive or negative, it can be excluded by giving a counterexample; If there are contradictory or mutually exclusive options between the options, one of the two options may be correct, and of course both options may be wrong, but they can never be both correct. 3. Special value method and extreme value method-opportunistic, it is difficult to directly judge whether the number of options is right or wrong, so that some physical quantities can skillfully take special values or extreme values that meet the conditions of the topic and bring them into each option for investigation one by one. Any option that is proved to be incorrect by special value or extreme value test must be wrong and can be excluded. This method can often save strict logical reasoning or complicated mathematical proof. Four: extreme thinking methods-the common methods of extreme thinking embodied in universal physics are extreme thinking method and differential element method. When the physical quantities involved in the topic change monotonously with the conditions, the available limit method is to push a physical quantity to the limit, that is, extreme value or minimum, extreme left or extreme right, and make scientific reasoning and analysis accordingly, so as to give a judgment or derive a general conclusion. Infinitesimal method is to decompose the physical process or research object into many tiny infinitesimal elements, and only through necessary mathematical methods or physical thinking can the problem be solved. Five: Substitution method-get twice the result with half the effort For some computational multiple-choice questions, the answers given in the topic options can be directly substituted into the test, or substituted into the test at a certain stage of the calculation process, which can often effectively reduce the amount of mathematical operations. Six: Contrastive reduction to absurdity-removing the false and retaining the true For some multiple-choice questions in the college entrance examination, if option A is correct, sometimes there may be cases where option B is correct or option C is correct. For multiple-choice questions with single or double choices, you can use this method to eliminate the wrong options. Seven: the whole and isolation method-when there are multiple research objects, we should first think of using the whole and isolation method to solve it. The common way of thinking is to find the external force as a whole, the internal force in isolation, the whole first and then the isolation, and the two methods are used together. Eight. Symmetry analysis method-opening the bow left and right For symmetrical physical problems, we can make full use of its characteristics and solve problem 9 quickly and simply. Image graphic method-draw an image or schematic diagram immediately according to the content of the topic, such as the moving image of the object, the force schematic diagram, the light path diagram, etc. And then use image analysis to find the answer. When solving problems with images or schematic diagrams, it has the characteristics of image and intuition, which is easy to understand the relationship between physical quantities and can be avoided. Ten: reverse thinking method-find another way Many physical processes are reversible, such as the reversibility of motion and the reversibility of light path. When analyzing the obstacles from cause to effect, we can "do the opposite" and think along the reverse "from effect to cause" process, which will often get the effect of making things easier and winning by surprise. Eleven: Example verification method-avoid reality and be empty. Some multiple-choice questions contain uncertain words such as "possible" and "energy". As long as you can cite a special case to prove that it is correct, you can be sure that this option is correct; Some multiple-choice questions contain affirmative words such as "certain" and "impossible". As long as you can give a counterexample to refute this option, you can rule out this option. 12. Changing objects-turning customers into the main problem. In some questions, for example, it may be very complicated or unanswerable to analyze the problem with the object given in the title as the research object. At this time, we can change the research object, turn it into a familiar problem, make the analysis of the problem simple and easy, and finally find out the quantity to be solved. 13. quadratic conclusion method-fast and accurate "quadratic conclusion" refers to the conclusion derived from basic laws and formulas, which can be memorized and skillfully used. Some "quadratic conclusions" can simplify thinking, save time in solving problems, and often let us "know the answer when we see the questions" to achieve the goal of being quick and accurate. Fourteen: Proportional analysis method-Simplify the complex when the mathematical relationship between two physical quantities is clear, the mathematical calculation can be simplified by using their proportional laws. Applying this method, it is necessary to clarify the relationship between the physical quantities involved in the physical problems studied, which are the same and which are different. 15. control variable method-it exceeds many variables in quantity, sometimes only one variable is changed at a time and the others remain unchanged, making it a simple univariate problem, which greatly reduces the complexity of problem analysis. This method is an important thinking method in scientific inquiry, and it is also one of the scientific methods commonly used in physics to explore and analyze problems. Sixteenth: dimensional analysis-outline overview For the letter-form computational multiple-choice questions, the physical formula expresses the dual relationship between the quantity and the unit of physical quantity, so the unit of physical quantity can be used to measure and test whether the operation result of physical quantity is correct. This method is often used to judge the correctness of the calculation results and to exclude some wrong options in multiple-choice questions. Seventeen: Equivalent substitution method-achieving the same goal by different routes can also be called equivalent treatment method and analogy analysis method. It is a way of thinking that changes unfamiliar and complex physical phenomena and processes into simple and familiar ones to study on the premise of keeping the effect, characteristics or relationship unchanged, so as to clearly understand the nature and laws of the research object. Commonly used such as equivalent gravity field, quasi-plane motion, equivalent power source, synthesis and decomposition equivalence of force or motion, analogy between gravity and coulomb force, etc. 18. Critical analysis method-The range problem of physical quantities can be solved by using critical analysis method, and the critical conditions can be fully utilized to solve it quickly. The common critical conditions are: the object "just detached": contact but elastic force is part, and the object "just wants to slide relatively": subjected to the maximum static friction; The particle "just flew out of the magnetic field": the trajectory is tangent to the magnetic field, and so on. XIX: Modeling method-that is, the physical model of material knowledge is an idealized physical form and an intuitive expression of physical knowledge. By analogy, abstraction, simplification and idealization, the model thinking method highlights the main factors of the physical process, ignores the secondary factors, and abstracts the physical essential characteristics of the research object. Therefore, it is an analytical and reasoning way of thinking. When we encounter a topic with novel background, unfamiliar materials and advanced knowledge, which is related to industrial and agricultural production, high technology or related physical theories, how to abstract the familiar physical model from the stem according to the meaning of the topic is the key to solve the problem. Twentieth, computational reasoning-give conditions reasonably and truthfully, use relevant physical laws, formulas or principles, and get the correct answer through logical reasoning or calculation, and then. Math problem-solving skills in college entrance examination 1. Easy first, then difficult, and gradually increase the difficulty of practice. The process of people's understanding of things is from simple to complex. There are many simple problems to be solved, so as to have a clear concept and be familiar with formulas, theorems and solving steps. When you solve problems, you will form jumping thinking, and the speed of solving problems will be greatly improved. When learning, we should first solve those seemingly simple but important exercises according to our own ability, so as to continuously improve the speed and ability of solving problems. With the improvement of speed and ability, and gradually increase the difficulty, you will get twice the result with half the effort. 2. The middle and low-grade questions with good quality and quantity usually account for more than 80% of the whole paper, which is the main part of the test questions and the main source of candidates' scores. Whoever can win these problems with good quality and quantity is already a victory. With the winning mentality in hand, it will be more open to overcome high problems. 3. Face-point-line to solve application problems, first of all, we must comprehensively examine the meaning of the problem and accept the concept quickly, which is called "face"; Through lengthy narration, grasping key words and putting forward key data, this is the "point"; Synthesize the connection, refine the relationship, and establish a mathematical model by mathematical method, which is called "line", thus transforming the application problem into a pure mathematical problem. Of course, the solution process and results are inseparable from the actual background. 4. Answer questions in a limited time, speed up first and then correct them. An important reason why many students are slow in doing problems is that they are used to delaying time when doing homework, which leads to a bad habit of doing problems. Therefore, to improve the speed of solving problems, we must first solve the "procrastination". A more effective way is to answer questions in a limited time. For example, when doing math homework, you should give yourself a limited time. Regardless of the correct rate, you should first ensure that the math homework is completed within the specified time, and then correct the mistakes. This process has a good effect on improving writing speed and thinking efficiency. When you get used to thinking and writing faster, the speed of solving problems will naturally increase, procrastination will be corrected and your grades will improve.

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