English

Listening: In the process of cultivating listening, the school does not attach great importance to the sense of language. The school does listening exercises at a fixed time every day. I have never done these exercises, but I listen to the tapes carefully. Personally, I think that when we do a problem, the brain will try its best to find the answer, and sometimes even guess, which will ignore the training of listening and language sense. So I don't think it's necessary to do the problem. Listen quietly. Listen to the original text the first time, follow the recording and try to understand the original text. The second time, close the original, close your eyes, try to hear every word clearly, try to keep up with the recording speed and find the English atmosphere. After all, it's called "listening" and you need to listen more. If you train like this every day, you will have a sense of language. Play listening at school every noon.

Cloze: This question mainly examines the most logical and realistic judgment of the background environment described in English. Of course, it also examines the amount of English words, but it does not involve grammar. To solve this problem, first of all, memorizing words is the premise. Only by fully understanding the content of the article can we make a correct judgment on the article. Therefore, the more words you recite, the better. The more you remember, the better. Secondly, we should be able to judge practical problems and pay attention to some very detailed problems. There is also the contact context that teachers often say, which of course requires a comprehensive understanding of the original text. This kind of question type needs long-term training to feel. Two articles a day, thinking more about the wrong options, there must be a reason.

Grammar fill in the blanks: I have studied this problem for a long time and summed up a set of methods. This method can almost ignore the requirement of grammar filling in the blanks, that is, you don't need to fully understand the article, just look for blanks and decompose the structural meaning of sentences, especially the grammatical analysis of sentences. As follows:

Grammatical fill-in-the-blank is divided into prompt blank and non-prompt blank; When prompted, grammar is the main part and sentence meaning is the auxiliary part; The space without prompt is mainly based on sentence meaning, supplemented by grammar, and it is usually difficult to be empty without prompt.

First, there are empty hints-consider whether there is a fixed collocation first-and then judge the composition of empty sentences, which are classified as follows;

1, verb

In the middle of the sentence:

(1) Predicate verb: consider passivity and passivity first, then tense. Pay special attention to the inspection upon completion.

(2) Non-predicate verbs: only consider the voice; Active in ing form, passive in ed form;

The first sentence:

(1) indicates a state: ing form.

(2) Form purpose: to make a form.

2. Nouns: deformation direction, positive and negative meanings, with special emphasis on singular and plural.

3, adverbs: positive and negative meanings, deformation methods.

4. Adjectives: deformation direction, comparative degree, positive and negative meanings.

Second, there is no hint of emptiness-consider fixed collocation first-and then judge the composition of emptiness in the sentence, which is classified as follows;

1, noun

(1) context nouns

(2) Nouns with opposite or similar meanings to the context

2. Articles

(1) definite articles: the, this, the, this, that, etc.

(2) indefinite articles: a, an, other, another, etc.

3. Conjunctions (leading words)

The first sentence: consider the meaning of clauses, such as there and how.

In the sentence:

(1) Basic components: parallel sum, turning but, choice or, progressive then, that and so on.

(2) Missing components: Considering the components of conjunctions, we can also judge the meaning of sentences by word-for-word translation, such as: what, who, how, where, that and so on.

4. Pronouns: indefinite pronouns, it, them, him, him, himself, etc.

5. Preposition: zai, zai, etc.

6. Modal verbs: there is no prompt space between the subject and the predicate, and the answers are based on the meaning and meaning of the sentence, such as can, do, should, will, etc. This question type is not easy to judge. Give priority to summary, supplemented by exercises, one article a day, 20 minutes.

Reading comprehension: From the score point of view, 30 points, answering this question well is the only way to get high marks in English. English teachers will also give many methods, and I will only say my own ideas. One: the number of words (Jin Shi); Second, reading speed (a necessary condition for getting high marks); Three: keen insight. We know that if we can fully understand a reading, the answer will be close to ten, but it must be hard work: words must be memorized repeatedly and accumulated over time. It is said that an uneducated ordinary farmer in the United States can know 8,000 words, while in China, there are only 5,000 words in high school textbooks. Therefore, the number of words is regarded as the most important part of learning English. Some people like to use the pen to navigate for themselves, and use the pen to order words one by one, which is too slow and will definitely affect the answers of the whole English paper. When reading, you should think quickly and react quickly. You should scan words with your eyes, translate them quickly with your brain, and underline unfamiliar words quickly with your pen to prevent the same unfamiliar words from appearing in the questions. This kind of question needs to spend time training every day to feel it and form a keen insight. As for the order of reading comprehension, everyone may have his own method. My thoughts are: first, quickly find and pay attention to the words with Chinese translation in the text, so as to avoid not understanding the words with Chinese translation when looking at the problem in the future; Then browse the questions. In order to save time, just look at the problem without looking at the options. You can get a general idea of the content of the article by looking at the questions. Then read the article and answer the questions. Give priority to summary, supplemented by exercises, three articles a day, 50 minutes.

Composition: I believe everyone will encounter such a situation when writing a composition: the words they want to write can't be remembered or remembered, and the sentences they want to express can't be constructed. English composition is actually translating Chinese into English. The difficulty lies in the word "translation". So the two key points of the composition are: memorizing words, understanding grammar and making sentences. Of course, practice is: write often. Finish the homework assigned by the teacher, recite sentence patterns and sentences, recite 5000 words in the textbook between classes, and always pay attention to keeping the English words you write tilted 30 degrees to the right.

There are two points in learning English: "vocabulary" and "sense of language".

mathematics

Multiple-choice question: As the first major question in the college entrance examination mathematics, it has three characteristics: first, it stabilizes the morale of the army; We all have an idea in our hearts: except for the probability that the eighth question may be a difficult problem, the other seven questions must be successfully won. If this idea is satisfied, I am confident to answer the following questions; Second, buy time; There are more than 600 thousand candidates in the province, and almost no candidate can have enough time to solve the whole math paper. Then, the multiple-choice questions that are not difficult should be completed quickly to gain more time for the subjective questions behind. Third, there are various solutions; Different from subjective questions, it only needs a correct option without any process, which provides us with a huge thinking space. I personally have many opinions on how to deal with the big problem of 40 points in the college entrance examination. One word: live. I think of all my math exams, and there is basically no formal way to solve this big problem. Recall the methods used: combination of numbers and shapes, method of substitution, conditional restriction, taking special circumstances, drawing according to conditions in proportion (this method was once used to do a fill-in-the-blank problem), exclusion, drawing triangles, speculating reality, exaggeration (that is, limit method), associative mathematical conclusions, disproof, and so on. My idea is: when you don't know where to start, think about the side door. In the daily plan, do exercises for 20 minutes to learn the side door; Every time you do a wrong question, you should reflect on the mastery of knowledge points, focusing on knowledge points rather than topics.

Fill-in-the-blank question: This big question is 30 points, which is called "half of the country" of mathematics together with multiple-choice questions. Its score is more serious, mainly because there are no options, wrong questions, no attention to traps and wrong answers. It has a great feature: the question type is single, and the tendency of single knowledge point is very strong. That is, a fill-in-the-blank problem usually involves only one knowledge point. Therefore, to complete the answer to the fill-in-the-blank question, you must pass every important test center. I don't pursue the process, and the solution is similar to the method mentioned in the multiple-choice question above. In the daily plan, do exercises for 20 minutes to learn the side door; Every time you do a wrong question, you should reflect on the mastery of knowledge points, focusing on knowledge points rather than topics.

Trigonometric function: it is a major question in the college entrance examination, especially in Guangdong, which is required almost every year. Involving many test sites, you need to master the following abilities: thoroughly understand the drawing method of trigonometric function images; Grasp the change of function image caused by the size change of any letter in y= Asin(wx+2kπ)+b; Fully understand the translation principle of trigonometric function image and the change of drawing method of function image caused by the change of abscissa of two-dimensional coordinate axis; Know the significance of periodicity, monotonicity and parity of trigonometric functions; Will find the maximum value and range of the function (the transformation process from range to definition and from definition to range); Mastering and memorizing the sum, difference, multiplication, semi-induction, sum-difference product of trigonometric functions, formulas of trigonometric functions with the same angle (odd change is constant, the sign depends on the quadrant), triangle interior angle theorem, sine theorem, cosine theorem and its application. When solving a problem, you may encounter a situation where you can't start. In fact, there must be some relationship between conditions and problems. Therefore, we can start with conditions, find more other conditions derived from conditions, and consider the relationship between other conditions and problems; Or start from the problem, turn the problem into other problems, and then contact the conditions to find some relationships. Need to be reminded: calculate carefully. As long as one letter is missing, or a plus sign is written as a minus sign, a mistake will become a permanent regret. In the daily plan, do exercises for 30 minutes to master various abilities, and stop learning trigonometric functions independently after one and a half months; Every time you do a wrong question, you should reflect on the mastery of knowledge points, focusing on knowledge points rather than topics.

Probability: essentially distinguish the difference between geometric probability and classical probability; Understand and memorize binomial distribution and permutation and combination formulas; Understand and use the idea of opposing events; Understand the principle of normal distribution curve and regression linear equation. My understanding of geometry and classicism is that geometric probability does not involve the smallest unit of data, such as; The data involved in classical probability has the smallest unit, such as {1, 2,3,4,5,6}, and the smallest unit is 1. When solving problems, binomial distribution is generally used if the problem conditions have a specific probability; If a specific number appears in the subject condition, it is generally a permutation and combination. The probability questions in the college entrance examination are all based on living materials, and students' understanding of many principles is examined. Generally speaking, there will be no problems, but there may be some digressions, such as testing normal distribution curve or regression linear equation (question 16 of Guangdong college entrance examination in 2007). Therefore, it is particularly important to know all the knowledge points of probability. In the daily plan, do 30 minutes of practice to master various abilities, and after one and a half months, no longer learn probability independently; Every time you do a wrong question, you should reflect on the mastery of knowledge points, focusing on knowledge points rather than topics.

Solid geometry: Although I study science, I have taught liberal arts students and have some views on liberal arts mathematics. From the whole paper, it is difficult to choose and fill in the blanks, but it is easy to solve by using the side door, because it only makes the knowledge points "live" rather than complicated; The forms of trigonometric function, probability and solid geometry are vivid, and the process is not too complicated. It tests the analytical ability. As long as the knowledge points are thoroughly studied, these three questions should be successfully won. There are some differences in the difficulty of geometry problems between science mathematics and liberal arts mathematics, and the solutions are also different. Rational numbers can use coordinate method and geometric method, and literary numbers can only use geometric method (coordinates are not involved in the textbook of literary numbers), but rational numbers and geometric methods of literary numbers are consistent in question types and answering logic. Personally, compared with geometric methods, algebraic methods are more risky: first, there are a lot of problems in which the process of using algebraic methods is complicated or it is impossible to use algebraic methods at all, such as proving the existence of problems or irregular figures; Second, the algebraic method does not need to be proved, but only needs to be calculated, so there is a great possibility of misjudgment. As for the geometric method, I can solve almost all problems. I used geometric methods in the math exam of senior three, and I made no mistakes. Give priority to with proof, strong logic; As long as you can fully understand geometric ideas, almost everyone can try. Geometric problems are divided into several categories: line-line parallelism, line-plane parallelism, plane-plane parallelism (translation method), line-line verticality, line-plane verticality, plane-plane verticality (translation method), dihedral angle size (transfer method, side projection method, the important step is to find the normal), volume size (transformation method, cutting method, completion method, indirect method. Theorems or formulas that can be used: isosceles triangle theorem, midline theorem, similarity theorem, pythagorean theorem, cosine theorem, projective theorem, triple vertical theorem, etc. Problem-solving process: Combining with the graphics, expand the conditions of the topic, analyze the given conditions to the maximum extent, so as to obtain more other conditions, so that you will often know how to answer the questions at first reading. In the daily plan, do 40 minutes of exercises to master various abilities. After a month and a half, I will no longer study solid geometry independently. Every time you do a wrong question, you should reflect on the mastery of knowledge points, focusing on knowledge points rather than topics.

Function: It is the key and difficult point in senior high school, which lies in the complicated process and calculation. There are two kinds of questions: one is an applied question, which has a long topic and a large amount of calculation, and combines practical problems with mathematical principles, which is also the perfection of the college entrance examination reform; Usually involves the maximum problem, the domain problem; The other is a pure mathematical problem, which mainly examines students' understanding of the image of the function, the deformation of the corresponding relationship, the definition range and the value range. The most difficult part of this kind of problem should be the investigation of the idea of classified discussion. I'm ashamed. I only remember one way to extract parameters. I don't have any idea about the function problem, because I think it's too difficult, and it's probably the finale of the college entrance examination math paper, even our math teacher is afraid. If you want to break through this type of problem, you can only ask for expert advice. In the daily plan, do 40 minutes of practice to master various abilities, and after one and a half months, no longer learn functions independently; Every time you do a wrong question, you should reflect on the mastery of knowledge points, focusing on knowledge points rather than topics.

Conic curve: it is also the key and difficult point of the college entrance examination. I have spent a lot of time training it, which can be described as desperate, but unfortunately I still didn't get this big question right in the college entrance examination. If you encounter a conic curve in multiple-choice questions or fill-in-the-blank questions, you should actually try your best to solve the triangle problem, and combined with the definition of conic curve, there should be no problem. There are too many methods to solve conic curves, which are difficult to master. It involves many knowledge points and is comprehensive, such as direct method, definition method, geometry method, point difference method, correlation point method, intersection method and parameter method. To master these methods, time is a big problem and very logical. This question is quite difficult for me. In the daily plan, do 40 minutes of exercises to master various abilities. After two months, I will no longer study conic independently. Every time you do a wrong question, you should reflect on the mastery of knowledge points, focusing on knowledge points rather than topics.

Sequence: It's quite difficult. I gave up the college entrance examination and avoided talking about it. However, both multiple-choice questions and fill-in-the-blank questions have simple questions, so it is not difficult to solve them as long as you master the properties and formulas of arithmetic and geometric series. Give up autonomous learning

{Turn what you have learned in the textbook into your own, and answer unfamiliar questions through your own logical thinking ability analysis}