How to review mathematics in senior three?

First, a round of review: Grasp the rhythm

1 Present situation

2 Grasp the rhythm

Exclusive cheats: Small pieces of paper method!

1 current situation, students, what was your round of review? Before the third year of high school, I was full of ambition and made up my mind to work hard for a year, and turned over against the wind-Gan Kun was undecided, and you and I were both dark horses! So, you make a plan to complete the school task in a round of review, and at the same time, check and fill in the gaps according to your own situation, and summarize the questions. But the reality has given you a hard blow-obviously there are only three and a half hours of evening self-study, but teachers in all subjects feel that each subject has an hour, and they are crazy about assigning homework; Obviously, the recess is already very short, and the teacher still likes to procrastinate and arrive at class just after ringing the preparatory bell; I clearly feel that I have worked hard, but I am still "dragged" by time ... In desperation, staying up late to do homework has become the norm, but my study plan is still difficult. It happened that some students around you practice a set of comprehensive questions every two days, some practice multiple-choice questions every day, and some brush comprehensive questions regularly every week ... You are very flustered, confused and desperate when you look at your grades that are not improving or even declining. You know it's important to master your own rhythm, but watching yourself lose control of your study a little bit is like watching yourself drown a little bit. This is the third year of high school that I really experienced. What was the beginning of my round of review? There is still time to sum up after finishing homework, and it can also promote the synchronous practice of the classification training of the college entrance examination for mathematics students. After officially entering the third year of senior high school, with more and more difficult homework, the courses and homework tasks in the northern Qing class have affected the completion of homework, so that it has basically become homework at ordinary times, homework at weekends+math class+sleep, and there is almost no time to sum up, and there is no time walk practice. But I never brush the topic flow. In my learning strategy system, the test paper is used for "physical examination". What is the purpose of "physical examination"? It's time to take medicine! "Taking medicine" refers to targeted review training. My main problem is that I can't give consideration to school homework, studying in the clear north class with double subjects of mathematics and chemistry (two classes for self-study in the evening every week and about one hour's homework every day) and self-study-I can't even finish taking medicine after the physical examination every week, let alone practicing, and I'm not physically able to stay up all night to fight for time-I will be very sleepy the next day and my brain will be in a paste. For me, not being able to complete the step of "taking medicine" is far more fatal than not having time to brush the questions: I know that I am sick, but there is no way to solve it, so I can only wait for it to deteriorate or heal itself. So I quit Qingbei class and wrote a thousand-word application to the teachers of mathematics and chemistry Qingbei class. I hesitated and hesitated, but I finally chose to give myself more room for self-struggle, be responsible for myself, and fight hard on my own, because only I know my weaknesses best and study is the most targeted. 2 Grasp the rhythm The secret I use to grasp the rhythm is to grab the fragmented time, so as to set aside my own time for the prime time of evening self-study. How to grab the fragmentation time? Using the idea of "whole process optimization", four links are optimized: classroom, review between classes, after-class inspection and after-class review. To understand the whole process optimization idea, please read the article by Zhihu strategist @ Ye Xiu. Exclusive cheats-small pieces of paper method! The principle is: make full use of fragmented time, steal time from class, repeat memory many times, and use question-based learning method to help us forcibly "extract" information during memory, so as to deepen memory, which is in line with the physiological process of brain building long-term memory. 1. Classroom: ① Take class notes by Cornell note-taking method and grid paper. The knowledge points are recorded in the text of the class notes, and the key words are written in the sidebar and the bottom column summary part, and the textbooks and teaching AIDS are added to the class notes. If the bottom column summary part can't be written, post a post-it note. (2) take out a few pieces of paper in class, while taking notes, while writing questions about important test sites on the paper, you can use symbols to write them down briefly. If it is too late in class, try to get it done in 1 minutes between classes. For example: aluminothermic reaction: phenomenon? Thermite? Ignition agent? Combustion improver? Pay attention to Mg, okay Pay attention to iron oxide powder? Pay attention to aluminum powder, okay The ratio of iron oxide to magnesium and its function? What are the attention points and functions of funnel overlap? What are the points and functions of fine sand? What should the device stay away from? There are three applications of the principle. What is the trigger action? Electron transfer in the reaction of aluminum with water? There are two uses of aluminum. There are two purposes of alumina. Substances that can react with both hydrogen ions and hydroxyl groups, 6 points. Three schemes for preparing Al from Al, HCl and NaOH. Which is the best? Why? There are 4 categories and 6 species of ions that cannot exist with aluminum ions. There are four kinds of ions that cannot exist with metaaluminate. When barium hydroxide is added to alum, when the sediment mass is the maximum, when the sediment mass is the maximum? (3) when commenting on papers and exercises, the notes that can be sorted out in class are sorted out in class. It is recommended to use a palm-sized tearable notebook-this is another form of small paper. Take chemistry as an example, there are many fine knowledge points in chemistry, which need to be accumulated: the answering system (structured answering routine) and the expression of big questions (copy the same questions when you can't extract the template at first, and put them together, and you will see the difference when you see more. If you don't understand, you can ask the teacher: "Why don't you write this question?" Why did you write this question again? " ), error-prone points, small knowledge points (don't be afraid to copy it again. If you copied it before, you even copied it repeatedly, which means that this knowledge point has been tested a lot and you forgot it. It is worthwhile to review it in a small notebook). Manually divide the areas in the notebook-you can fold the corners and label them, as long as you can separate them yourself-and record the answer system, the big question expression, the error-prone points and the small knowledge points separately.

Second, a round of review of correct thinking

1 General Introduction

2 Thinking

3 Practice brush questions and wrong questions 1 General Introduction, four points: First, lay a good foundation and form a knowledge system (good summary habits); Second, check for missing parts and practice reflection (good habit of reflection); Third, rational planning and stable comprehensive management (good examination strategy); Fourth: long-term persistence and stable strategy (good learning mentality). Take physics as an example. The first point: The knowledge system is the commonly said framework. You should link all formulas, their uses with applicable conditions, their derivation process, their inference, secondary conclusions, etc., and establish a clear framework by blocks. This seems complicated and numerous, but in fact, the knowledge of physics is the least among the six subjects. The second point: it is most important to lay a good (solid) foundation in a round of review, and we must avoid blindly brushing the questions. A round of review needs to check for leaks and fill gaps. Every time you face your weak plate, you should invest time in thinking, make directional breakthroughs, accurately brush questions and summarize reflections. Blind sea tactics consume physical strength and destroy confidence. After the exam, it is even more necessary to re-set! The third point: in the comprehensive volume, my order of doing the questions is: biology elective+multiple choice questions all+physics single subject+biology big question+chemistry big question. No matter how you arrange it yourself, you'd better do physics before doing the big questions of biology and chemistry-never put physics in the last subject unless you are very confident in your physics. Why do you say that? First of all, physics subjects are placed in this order in the examination paper, so it is easy to miss the questions, read the wrong questions and create panic mood invisibly if you turn over the papers frequently. Secondly, we must leave enough time for physics. What do you mean, leave enough? At least you won't have to read the last big question. Most physics questions are systematic. Generally speaking, the first question can't be done, the second question can be done, and the third question is very annoying, because it requires you to have a coherent idea. It is a truth that the big questions of chemistry often need to be read coherently. However, if you really have no ideas in physics, it's hard to distinguish. Chemistry can also be guessed, fill in a few blanks. Physics wants to have ideas, except for the usual accumulation, the examination time can not be enough. The time planning of comprehensive management needs to be weighed and considered by yourself. At first, don't worry. It is normal not to grasp the time at first. As long as you constantly sum up your experience, you can always find a strategy that suits you. The fourth point: after choosing a more suitable long-term strategy, you should not start to doubt yourself, explode your mentality and make big changes to the strategy because of one or two fluctuations in your performance (fine-tuning is ok). If you want to find the most suitable way to start, you will never start. It is normal to be in a bad mood, but the time you can allow yourself to be influenced by emotions should decrease gradually. In terms of emotional control, it is good to make progress compared with yourself. 2 thinking builds a knowledge system? No, you need to establish an answering system. First of all, I need to point out a problem: in fact, what you really need to establish is not a knowledge system, but an answering system. Taking chemistry as an example, knowledge points certainly need to be memorized, but it is not like memorizing a mind map. After seeing an element, all the test sites of this element, including all commonly used equations and their various forms of physicochemical properties, mutual transformation, etc., are memorized, and none of them are bad. After sorting out such a mind map, we should try to review it according to the forgetting curve to ensure that we remember it. Excuse me, can you do it? Even those around me who made diplomatic relations with Zhejiang in the north of Qing Dynasty did this. What is the difference between establishing an answering system and establishing a knowledge system? Establishing an answering system means that after you see the question, you can immediately think of the possible answering direction of this question and the possible pit of this question. For example: industrial process: the advantages of high temperature are: ① accelerating the reaction rate; ② increasing the equilibrium movement of endothermic reaction; ③ increasing the equilibrium movement of pressure under constant volume conditions; ④ promoting hydrolysis and precipitation; ⑤ increasing the solubility of colloid (hot water during washing/boiling during dissolution); the advantages of low temperature are: inhibiting hydrolysis (especially metal); ② preventing decomposition (NH4HCO3, H2O2, etc.); ③ preventing volatilization/increasing the solubility of gas (NH3, CO2, Br2). HBr does not need to be used) ④ Reduce solid solubility, separate impurities/precipitated products (cold water washing, crystallization precipitation) ⑤ Liquefy easily liquefied products such as SO3, NO2 and NH3 ... All these things need to be accumulated in your usual study exams. Take a small notebook and record the answer system in the order of the questions in the chemistry test paper. Remember to leave enough blank for each question. Use a small notebook, which is convenient for you to recite during the fragment time, and also convenient for you to take notes in class. 3 Practice Brush Questions and Wrong Questions 1. Brush Questions For brush questions, it needs to be clear: Do you need to brush questions now? What questions to brush? How to brush the questions? Q1: Do you need to brush the questions? The purpose of test paper or multiple choice/experiment/subjective exercise is to detect what you can't do, practice the pace of examination and improve proficiency. The purpose of special training is: directional practice and fixed-point breakthrough. Do you need to use them to brush the questions? Is it better to spend this time reviewing wrong questions, summarizing problem-solving skills or mistakes, and reviewing problem-solving skills or mistakes? Q2: What questions should I brush? The first is the real question of the college entrance examination. Unless you can really understand every real question completely-not only do it correctly, but also dig up test sites and make your own questions in the background of this question. The second is the simulation questions carefully selected by teachers, the simulation questions of top 1 famous schools, and the simulation questions of large-scale examinations in provinces and cities. These simulation questions are of high quality. If you buy a teaching aid casually and do simulation questions without discrimination, it is easy to be misled by low-quality simulation questions. Q3: How to brush the questions? Train regularly, and less regularly than during the exam. For example, in the exam, it takes 4 minutes for you to complete the comprehensive multiple-choice question, so you should finish it in 35 minutes regularly. Summarize after brushing the questions. Refine the question type+problem solving skills+typical characteristics of the topic+examples. Examples don't need to be memorized, just written in a loose-leaf notebook for deliberate practice and review. You can't copy the teaching AIDS. What others have summed up can't leave a very deep impression on your little brain. When you go to the college entrance examination, you may be so nervous that you forget everything and rely on instinct. You don't even need to be confined to the form of "mind map". Making a list is also a good way. The key point is that you need to repeat and practice the college entrance examination questions deliberately, so that the "question type+problem-solving skills+typical characteristics of the questions" you summarized can form an instinct, so that you no longer need to deliberately recall the framework you summarized, but can directly identify the problem-solving skills you need to use and solve the problems through the typical characteristics of the questions. Take mathematics as an example to restore three views: two or more views are the vertebral body (generally, it is enough to restore the bottom surface that is not a triangle), three triangles: triangular pyramid (just find four points), two triangles, one circle: cone, one square+two triangles: quadrangular pyramid (five points), and two or more rectangular columns (as long as the outline outside is like rows, the figure of eight is generally a cutting body) And all subjects need to accumulate. After brushing the questions, it is necessary to accumulate the answering system of the whole subject (big question expression, error-prone points, frequent test sites, structured thinking answering). 2. Wrong question ① Step 1: Analyze the reason for the wrong question. If it really won't, go to the next step. If the process is not rigorous, practice writing the standard process. (You can skip the following steps. ) If there are many mistakes, use a small notebook to record your own mistakes, including but not limited to: misunderstandings in thinking, omissions in thinking process, calculation errors, careless examination of specific questions, misreading or copying of a certain number (such as "3 and 5" and "2 and 7"), and the formula is written so long that it is written on the draft paper that even if it is missed, symbols are copied incorrectly ... If it is easy to copy wrong numbers, just modify the writing of a number and practice it for dozens of times to form a habit to make them easier to distinguish. There are also some, you need to use the fragmentation time and the last time before the exam to review the mistakes in this small notebook. When taking the exam, remind yourself appropriately on the draft paper-for example, every time I take the comprehensive exam, I will write two big words on the draft paper at the beginning of the exam, and add an exclamation point: "Vector! ! !” (You can skip the following steps. (2) Step 2: Analyze the difficulty of the topic. The proportion of a normal college entrance examination paper is 7:2:1 (simple: medium: difficult). You think the question is simple. In addition to the real simple question, there is another possibility: it is actually an intermediate question or a difficult problem, and you think it is simple only because you read the standard answer/listened to the teacher's or classmates' explanation/saw that many students did it right. If it is a really simple question, you can't learn it, not because your IQ is flawed, but because you have important omissions in one or even several knowledge blocks. You can analyze the answer first (you can ask your classmates and teachers for help), find all the knowledge points of this question, learn the knowledge points through textbooks, notes, teaching AIDS, explanations by classmates or teachers, and then do this question, and consolidate the practice through the real questions of the college entrance examination. (Mathematics recommendation Zhu Haokun's "2 questions on the whole brush of the real questions", with a selection of college entrance examination questions to explain and train in different sections. If it is actually a mid-range problem or a difficult problem, I have two suggestions. The first suggestion is that you can put aside the problem-solving until you have the ability to solve the intermediate problem stably (ten ways to know eight ways). The second suggestion is that the process of learning it is divided into five steps: dissecting the answer, restoring the answer, redoing it the same day, deliberately practicing, and reviewing it later. The first step, dissecting the answer, means that you need to find out the answer (you can't