The problem of moving point is a hot issue in mathematics examination in recent years. To solve this kind of problem, we should "use static braking", that is, turn dynamic problems into static problems. The general method is to grasp the "invariants" of change in order to cope with various changes. First, according to the meaning of the topic, sort out the changes of two variables, X and Y, and find the relevant constants. Secondly, according to the geometric properties and relationships in the graph, a basic relationship is found, and an independent variable is used to represent the related quantity. Then according to the requirements of the topic, according to the knowledge of geometry and algebra to solve. Third, determine the range of independent variables and draw the corresponding image.
Sorry, I accidentally sent you the main points of mathematics. Since there is no satisfactory answer here, I will answer it again to make up for my mistake. Summarize the main idea of the article. Summarize the writing materials: You must read the materials carefully several times before answering, and then you can answer with such key words: "Through the story of …, you praise (praise) the author's thoughts and feelings, revealing the profound truth of …". We can also learn from the materials. In every paragraph of the material, especially the first or last sentence of the first or last paragraph, the philosophical sentences in the article are often the theme that the author wants to express.
2. Ask the composition topic "-for example-". Fill in a blank in front, similar to breaking off diplomatic relations. Some people say friendship is as sweet as candy. Friendship, like a clear spring, makes people cool in the summer; Friendship, like coffee, is memorable. But now, my friendship is broken.
Yiyi and I are inseparable friends, but yesterday's incident ruined our friendship.
One hot summer day, cicadas were barking in the tree. The whole world is as hot as a big stove, drying up all the water in the world. At that time, I was doing a math problem in class, and suddenly I met a problem that I couldn't solve, so I planned to ask Yiyi. I said in a voice the size of a mosquito, "Yiyi, can you solve this problem?" Yiyi didn't respond. I asked again, but she still didn't respond, so I ignored her. After class, I said to Yiyi, "Yiyi, why didn't you tell me when I asked you questions?" Yi glared at me and roared, "don't you know I'm doing the problem?" I was very angry and determined to get back at her.
When I was doing a problem in English class, she asked me a question and I ignored her. She asked me again and I asked what it was. She said, "Let me ask you a question. Why don't you talk to me? " I deliberately said loudly, "Oh, you have a question that you can't?" The students in the first few rows heard this and laughed at her after class. What about her? The angry face turned black and blue.
This morning, I received a dear John letter from Yiyi, and my heart was very sour. When I get home at night, the moonlight shines on the earth, which makes me feel so sad.
My friendship broke up.
3. How to summarize the article in concise language? I want some summary methods, mainly about people and things 1. If the event is too long, only the center of the event (what event, time, place, central figure, brief course and result of the event) can be said, and only the core things in the event can be extracted. The stupidest way is to underline a few key keywords, and then use the simplest and most concise one. The keywords are concatenated. 2. Interpolation is generally used to supplement or explain an original event or viewpoint, but it is generally not needed when summarizing. Of course, if it is to supplement an event or viewpoint in the article, it will be used in the summary. Flashback is the result of events in many cases, which is very important. Sometimes, if you refine the flashback part, you will know the result of the whole event. Moreover, you should understand. 3. The part discussed by the author is generally not the focus of generalization. If there is something that highlights the theme in the discussion, you can use it. 4. When writing about people, we must grasp the characteristics of people. Everyone has his own characteristics, which requires grasping the unique things and the most attractive things of this person; When writing and summarizing things, we should grasp the influence of the event and the inspiration it brings.
4. How to summarize the central idea of the composition in short language? Three sentences, nine words, quick and simple composition method The first part of the original article 1. What's the ingredient? Composition is a kind of thinking activity of asking and answering questions.
How to write a composition? Use questions to deduce and write. 1. Starting from children's paintings: Only by careful observation and careful inquiry can you write vividly.
2. The reporter can't interview without "nine words" to ask questions: only by asking questions seriously can we write concretely. 3. The elements of watching news: five elements, namely, 5W, time, place, people, things and reasons. 4. How do famous teachers guide writing? The method is to ask questions and deduce. This method is called "quick composition method with questions and deduction".
5. Write if you can speak: writing means speaking with a pen, and speaking is an oral composition. Export is writing, and writing is writing.
Or time sequence, or spatial clue, or logical relationship, around a center, follow a logical clue, so as to make the discourse center prominent and clear. To sum up, we know what a composition is and how to write it.
In short, writing is talking with a pen; How to speak, ask questions around the topic with "nine words". Second, how to write a composition 1, the relationship between thinking and language: the development of thinking content (concept, judgment and reasoning) needs language forms (words, simple sentences, complex sentences and sentence groups) to adapt to it.
Thinking is the core of writing, unfolding is the basic method of writing, and questioning deduction is unfolding. This expansion is a kind of thinking activity, and its genes are nine words. The composition combines the content of the article by clicking on people's thinking activities through nine main thinking words: who, what, what, how, why, when, how much and if.
2. The basic format of Chinese sentences consists of subject and predicate. The subject is the object of the statement: "Who" or "What", and the predicate is the content of the statement: "What" or "How". 3. How to use "nine words" to expand a sentence and expand a paragraph: The first way to expand a sentence is to ask the subject and object, what kind of person? What kind of things? How many people? How many things? ; The second is to ask more questions to the predicate: how to do it? When did you do it? Where did you do it? How's it going? Why are you doing this? The method of paragraph expansion is the same as that of sentence expansion. The difference is that on the basis of sentence expansion, nine words are used for association and imagination, so that sentences and sentences form a "net", that is, they are connected into complex sentences, forming sentence groups, and finally extending to paragraphs to form the structure of the article, thus making the expressed meaning more specific, richer and more perfect.
The process of writing is the process of asking questions: learning knowledge is closely related to asking questions. If you want to learn knowledge, you must ask questions and be good at asking questions. This will get twice the result with half the effort. The process of exercise is also a process of questioning and deduction. Writing is to say what you see, hear, think, why, to whom, what is the point, how to say it, what to say first, what to say later, what to say in detail, what to pass by ... after thinking through your brain, say it with your own pen.
Writing an article is to ask questions, deduce them, connect the flow of thinking one by one, and express the thoughts and feelings to be expressed smoothly. Only through questioning and deduction can we activate creative thinking and produce a good article with deep thinking and literary talent.
Zhong Ping's "reading disorder before going to bed" 5. Tao Xingzhi has eight friends, whose names are He (what), He (why), He (who, who), He (how), He (where) and He (when). These eight sages cover all aspects of human thinking activities. Compared with nine words, there are fewer "if" and "what" and more "where to go".
American Paul? Mr. kinsella created a simple writing method of "seven characters". These seven words are: how, if, what, when, where, who and why, what and how much less than the "nine words". The core of "seven-character" writing is to find the central sentence first. With the central sentence, it is easy to start writing, and it also limits the topic.
How to determine the central sentence of an article? He put forward three operational essentials: first, ask questions with a keyword as much as possible; 2) The central sentence must be independent and complete; 3) the central sentence must clearly answer the questions raised, not irrelevant questions. In short, the above two methods give us the greatest enlightenment that composition is a kind of thinking activity, and we should respect the daily thinking laws and processes.
The more simple and natural, the more clear and definite. 6. "Occam's Razor" and Einstein's Principle of Simplicity:14th century, William, a philosopher in ockham, England, advocated nominalism and thought that "if it is not necessary, don't add entities". He only admits what really exists, and thinks that those empty and ordinary concepts are useless and cumbersome, and must be ruthlessly "shaved off", which is often called "Occam razor".
It is highly praised by the great philosopher Russell and is considered as the most effective principle in the field of logical analysis. Later, Einstein extended it to simple reasons. Einstein has a classic saying: "Things should be as simple as possible, not just simple."
What is the goal of composition teaching in primary and secondary schools? Xia Gaizun and Mr. Ye Shengtao once said: "Writing, whether it is application or practice, should aim at appropriateness. Things are clearly remembered and the truth is clear; No grammatical problems, no theoretical problems, this is decent.
As for whether the writing is good or not, it is difficult to satisfy. A good article can only be written if you accumulate a lot of experience, have deep feelings and study hard.
In other words, a good article is a product of going deep into life. If the depth of life is not enough, you are unwilling to come. As the goal of composition teaching in primary and secondary schools, "appropriateness" conforms to the principle of "conciseness", and the composition method of "three sentences and nine words" is the simplest composition method.
The more simple and natural, the more clear and definite. The composition method of "three sentences and nine characters" is the simplest composition method. The first article of the second part of the method article, "Three Sentences and Nine Words", is a crash work.
5. How to write a literary composition? First of all, when writing a composition, you should have a clear point of view and clear thinking. Don't think that literary talent means changing sentence patterns. Use several rhetorical devices to realize that language and thinking are inseparable. There is no thought divorced from language, and there is no language that does not express any thought. With clear views and clear thinking, language expression will be smooth; Grasping the characteristics of things, language expression will be more vivid. Therefore, in order to make an article literary, we must first have clear views and clear ideas. Secondly, temper language and pay attention to the literariness of language. Confucius said: without words, it is not far away. He believes that speaking and writing articles should be not only ideological, but also literary, so that articles will not be handed down from generation to generation. It can be seen that a good article should not only be ideological, but also be rich in literature. For middle school students who are not proficient in language skills, it is particularly important to temper their language and pay attention to its literariness. Here are several ways to make the article rich in literary talent: method one: temper the language and pursue the vivid image of the language. To make your composition reflect the vivid characteristics of vocabulary, you must have a direction and purpose in the process of accumulating vocabulary, that is, what vocabulary we should accumulate in the composition. So what words should be used in the composition? In a word, it is fresh, lively, not rigid, not rigid, full of vitality, expressive and infectious words, that is, vivid words. Write a person's narrative and ask it to be vivid; Express a person's feelings and wishes, and seek the smoothness of his feelings. ① Use vivid words. Vividness of language is often closely linked with vividness, just like shapes and shadows. In other words, vivid language is often the language of images, and its main feature is architectural beauty, that is, three-dimensional sense. It can arouse readers' vivid thinking and stimulate readers' rich imagination and association. It can give people a feeling of being there, seeing things and hearing sounds. For example, a monk knocks at the door under the moon, and the spring breeze is green. Green in Jiang Nanan (adjectives are used flexibly as verbs). Because of the vivid and appropriate use of these two words, this work has become a masterpiece that has been handed down through the ages. When portraying characters, action description is an important means to portray characters. The key to describe their behavior is verbs. It can accurately reflect the subtle differences between characters' actions, express the characters' personality characteristics, convey the author's love and hate, make the characters vivid and give people a sense of relief. Therefore, the verbs used in writing should be accurate, vivid and emotional, reflect the personality characteristics of the characters, and include the author's love and hate. ② Use musical words. The so-called musical beauty refers to the author's use of the tonal characteristics such as the smooth change of Chinese characters and the harmony of phonology to form a kind of melodic beauty, which makes the article sound and affectionate, with good sound and meaning. In the process of writing, we should pay attention to tone collocation, rhyme coordination, clever use of overlapping words and emphasis on rhythm. For example, moonlight is like running water, quietly pouring on this leaf and flower. A thin green mist floats in the lotus pond, and leaves and flowers seem to be there. Lived up the moonlight with a dynamic verb, and wrote the scene of Yue Hui shining like a torrent. It depicts the moonlight rising slowly from bottom to top, spreading slowly and infiltrating into the lotus pond. Washing the Cage turned a static scene into a dynamic one, vividly depicting the hazy beauty of moonlight. Method 2: Choose sentence patterns to strive for the richness and diversity of the language. Different sentence patterns can be used to express the same meaning. It can also be expressed in several different sentence patterns. Mood and mood change accordingly, so the language style and expression effect are different. For example, the whole sentence (such as four-character grid, etc. ) make the sentences neat, the scattered sentences make the text smooth, and the article is lively and interesting through clever use of oral English. The article skillfully uses classical Chinese, which has its own quaint style. The so-called flexible sentence pattern refers to the author's proper choice and flexible transformation of sentence patterns according to the characteristics of the language environment and the needs of expression without changing his own meaning, so that the writing will be vivid, free, not stiff and not rigid. Common sentence patterns are: affirmative and negative sentences, active and passive sentences, long sentences. Oral and written sentences, whole sentences and scattered sentences, etc. Sentences can be divided into declarative sentences, interrogative sentences, imperative sentences and exclamatory sentences according to mood. In order to make the sentence patterns of the article flexible, we should pay attention to expressing a meaning in different ways, understand the characteristics of various sentence patterns, the expression effect and the characteristics of the language environment, and master the general methods of changing sentence patterns and choosing sentence patterns. For example, method 3: use rhetoric to improve the beauty and charm of language, and use rhetoric to beautify language. It is an important means to make the article literary. Liu Xie pointed out in Wen Xin Diao Long Cai Qing: The speaker is Wen Yuan. The general idea is that an article can be passed down through the ages because it has literary talent. Li Ao, an essayist in the Tang Dynasty, also pointed out in "Answering Wang Zai Yan Shu": Although the meaning is deep, the words are correct, and the words are not written. It means that an article can't be written even if it is established. This shows the importance of rhetoric in writing. The same meaning is expressed in different rhetorical devices, and the effect is completely different. Master the function and effect metaphor of commonly used rhetoric: when used in narration, explanation and description, things can be vivid, vivid and concrete, giving people a vivid impression; When it is used in argumentative writing, it can concretize abstract truth and make abstruse truth easy to understand. Analogy: it can make readers have a vivid impression on the things expressed, produce strong feelings and cause * * *. Metonymy: it can highlight the image and make it concrete and vivid. Exaggeration: it can arouse rich imagination, better highlight the characteristics of things and arouse readers' strong * * *. The content is concise and concentrated, and the generalization ability is strong. Parallelism: it can enhance the momentum of language. When used for reasoning, it can explain the truth more strictly and thoroughly. When used to express emotions, feelings can be expressed incisively and vividly. Question: The overall function is to make readers think. Used in the title, it can attract readers, inspire readers to think and better reflect the center of the article; Used in paragraphs.