In July, thousands of college graduates are about to devote themselves to new roles. In the noise of parting, there is such a group of people standing in the corner who have been silent. This is an increasing number of depressed patients in colleges and universities. They are suffering from pain, loneliness and isolation that ordinary people can’t understand. It is really difficult for him to finish his graduation thesis and find a decent job at the moment. A recent survey by the reporter of Beiqing Daily found that 40 people in a famous key university in Beijing were diagnosed with depression, accounting for about 20% of the visits of the school psychological counseling center. College students with high intelligence and strong desire to win have become a high-risk group of depression.

　　survey

　　Depressed students account for 20% of the visitors to the counseling center.

　　"Hello, this is the psychological hotline for college students who cherish their lives in Li Jiajie. Can I help you?" A fixed opening remark, at the moment when the phone was connected, the receiver hesitated for several seconds and slowly spit out: "Hello, I want to consult some questions related to depression. I have been insomnia for 3 months … …” Xiao Qing, a student volunteer who has been connected for three years, still feels nervous and sweaty when she meets a caller who claims to be depressed.

　　Since the opening of "Li Jiajie Cherish Life Psychological Hotline for College Students" for 7 years, this hotline has listened to the voices of nearly 10,000 people from all over the country. Qin Lin, director of the hotline, told Beiqing Daily that the reporter would receive nearly three or four students’ radio waves for help every six hours online. Zhang Wen (pseudonym), the head of another mental health education center of a famous university in Beijing, said: "According to rough statistics, five years ago, one or two of the 10 clients had depression on average, but now it has risen to 3-4."

　　At present, colleges and universities in Beijing generally have mental health centers, which are mainly responsible for psychological investigation, mental health education, psychological classes and counseling. The school also arranges full-time psychological teachers and is equipped with special counseling centers. Here, although you can’t make clinical diagnosis like a professional hospital, it is the first "defense line" to prevent crisis and screen depression.

　　When talking about the group of college students suffering from psychological crisis, Zhang Wen, who has been working in the front line of university psychological counseling for a long time, bluntly said: "Among them, depression accounts for a relatively high proportion. Last year, there were about 1,500 visitors to the center, and depression accounted for 20% of the number of consultants. According to our statistics, a total of 40 students in the school were diagnosed with depression, and this number should be even higher if they were actually sick but did not come to consult. "

　　When these students come, they often talk about trifles such as "I’m under a little pressure to study recently", "How is it with my tutor (friend)" and "I’m lovelorn". Only when they completely let their guard down can they transition to a deeper topic: "Summarizing can be divided into four categories: study, interpersonal love, family and questioning the meaning of life." Regarding the psychological crisis of students, the situation of each school is different, and different types of colleges and universities face different problems. "Art universities focus on emotional issues, while comprehensive key universities focus on academics."

　　Depression, as a mental illness, has obvious abnormal reactions in emotion, cognition, motivation and physiology, and it is usually in the above aspects to judge whether it is sick or not. "If you lose interest in life, you will feel meaningless. In serious cases, you will have suicidal tendencies." Zhang Wen remembers receiving a girl who had undergone psychological counseling for three and a half years. At that time, the girl couldn’t even remember a short sentence of more than seven words. "I am sick, and my body and mind are in great pain. It is often difficult for ordinary people to understand. Our process is to ask the symptoms first. If it is serious, it is recommended to refer me and inform my family members or teachers. If it is not serious, I will have psychological counseling."

　　"I’m not good enough" is a high-frequency word in the mouths of visiting students in the center. Contrary to the usual idea of "just study hard", key university students with excellent grades have already occupied a certain number of depressed groups. They are extremely strict with themselves and often show feelings of guilt and self-blame. "Many children I have come into contact with are smart and sensible, and they have a strong motivation to win. For a long time, emotions such as self-blame or anger have been suppressed, which makes them point their attacks at themselves. "

　　particular case

　　Unable to defend my thesis, I had to drop out of school.

　　When it was time to say goodbye after graduation, Xiaoyu (pseudonym), a third-year doctoral student, did not show up at this year’s reunion dinner. She was ill. On the long road of fighting depression, Xiaoyu’s thesis defense has been in the foreseeable future, and graduation can only be postponed. She said the disease had no wound and no bleeding. "If you are depressed, don’t push me. It’s riddled with holes and leaks everywhere."

　　Xiaoyu, a liberal arts major at a well-known university in Haidian, Beijing, has always been quiet and introverted, but she is extremely active on social networks and updates almost every day. Looking at Xiaoyu’s WeChat circle of friends, I generally don’t notice that she is suffering from depression, and it has been 5 years. When spitting in the circle of friends became a blatant way of "selling cute", few people noticed her loneliness and pain that was occasionally open. This New Year, she wrote the sentence "Accept the best and worst of yourself".

　　Since the master’s degree was diagnosed as depression, she has suffered from three diseases, twice at home and once during an exchange abroad. The latest illness was during the writing of a doctoral thesis, and she was troubled by the double pressure of thesis and employment. For several months, she often suffered from insomnia, and her physical condition became worse and worse, and depression struck again. "Attention drops, I can’t remember things, and I can’t write at all. I have eaten dozens of antidepressants and endured the side effects of nausea, weakness and soreness. These are mixed with the symptoms of depression itself, and life is worse than death. "

　　When asked why he got depressed, Xiaoyu was at a loss. "I wouldn’t be depressed if I knew the specific reasons for getting sick. It’s like a cold, and I accidentally got caught up." In the second year of her master’s degree, she suffered from insomnia all night. In panic, she kept asking herself why. Sleep disorder leads to paralysis of study. "Even when I cooked a jiaozi sticky pot, I had to make a profound self-criticism and then rose to self-doubt, ‘ You can’t even cook a jiaozi now! ’” After several urging from friends, she came to the school psychological counseling center. After receiving several counseling sessions, the psychological teacher suggested that she go to the Sixth Hospital of Beijing Medical University and was soon diagnosed with severe depression.

　　Zhang Teng (pseudonym), an undergraduate majoring in computer science, had a more tortuous and long process of diagnosis of depression than Xiaoyu. It was not until last semester of his senior year that he really "collapsed" before depression and dropped out of school to go home. "When I entered school, I didn’t like my university and major, and I had a psychological gap. In addition, my girlfriend who talked about long-distance love at that time was very confused and couldn’t get out of that sad mood. I began to look for all kinds of books to read and test, and suddenly I felt depressed. At first, neither my parents nor I believed it. When I was dying, I was so sick that I had to drop out of school. " Most of the cases of depressed college students interviewed by the reporter of Beiqing Daily have struggled in a vicious circle of "being strong before others and being depressed after others", and they are suffering from hidden depression.

　　characteristic

　　Feature 1

　　"Shame of illness" makes it difficult for students to get sick in school.

　　Zhang Tengtan, a former patient with severe depression, accepted many patients of the same age he had contacted, who were often reluctant to show others at the beginning. According to public statistics, the number of people who commit suicide in China is at least 130,000 every year, and 40% of them suffer from depression when they commit suicide.

　　Students interviewed at random generally feel that depression is not far away, but they don’t know much about its basic knowledge and diagnosis and treatment. Most of them understand it from previous media reports. Yang Fude, president of Beijing huilongguan hospital, said in an interview at the end of last year that the number of patients with depression in China currently exceeds 26 million. According to the data of epidemiological investigation carried out by general hospitals in Beijing, nearly 10% of patients have depression, and less than 10% of them have received specialist treatment.

　　Because psychological problems are hidden, it is difficult for teachers to find out if the parties avoid them. The difficulty of pre-screening students with depression in colleges and universities can be seen. Faced with these difficulties, Zhang Wen and Qin Lin both laughed. "It is unlikely that children who come to see us will go to extremes." They feel that the top priority is still "desensitization", so that students and parents can face up to mental illness instead of demonizing depression. "The number of students suffering from depression on campus is increasing year by year, but some students and even their parents will feel ashamed and deliberately avoid communication. Some children are seriously ill and even refuse to see a doctor."

　　Feature 2

　　Dr. Shuo’s depression has shown an upward trend.

　　Professor Lin Guirui, honorary president of Beijing University Psychological Quality Education Research Association, has been conducting research on "college students’ psychological crisis groups" for years. Through a large number of case studies, she found that these depression groups of college students have some commonalities, such as: the proportion of students with bad family relationships or parent-child relationships is relatively high; Although the proportion of graduate students is not high at present, it has shown an upward trend.

　　Compared with undergraduates, PhD students who have the same experience as Xiaoyu face more economic, academic or family problems, and they are under greater and more complicated pressure. Zhang Wen recalled that he had intervened in a crisis with a male doctor who didn’t take a bath for a month. "I have been studying for 6 years but I can’t graduate. The incentive is the impact of papers and tutors, and he can only drop out of school in the end. "

　　When Xiaoyu’s classmates talked about her, they admired and envied her talent and hard work, but felt that the girl pushed herself too hard. One year abroad, Xiaoyu once struggled to translate a 600-page English book during her illness. Xiaoyu’s tutor was considerate of his disciples and advised Xiaoyu not to be impatient and to listen to the doctor’s arrangement. Fish said, "I am sick. Although he doesn’t say anything, I know that he is in the same mood as his parents. If there is something wrong with the students who have worked hard to train, it will be a great blow to the mentor. "

　　Under the current university management system, the coverage of psychological education in colleges and universities for graduate students is far less than that of undergraduates. In view of the topic that graduate students’ mental health is not paid enough attention, an unnamed college psychological counseling teacher explained: "This situation has certain objective reasons, including the factors of institutional setup in colleges and universities. Generally speaking, the mental health center belongs to the academic department of colleges and universities, and the academic department is often responsible for the related problems of undergraduates, and it is of an assistance nature for graduate work. "

　　affect

　　Some employers will do psychological tests for entry.

　　In addition to the sense of shame, many college students interviewed at random also mentioned another hidden feeling of not wanting to go to psychological counseling: "If there is something wrong with my psychology here, will it let many people around me know, and will it affect my future employment?" Zhang Wen and Qin Lin’s answers dispelled the students’ concerns to a certain extent, because the psychological hotline and psychological consultation will never enter the students’ personal files.

　　"Keeping secrets for them is our professional requirement. Unless the student’s condition is very serious and has extreme behavior tendency, then we will definitely inform the school counselor and parents. At this point, we will explain it to the visitors before the consultation, and we will start our work with the consent. "

　　The reporter of Beiqing Daily noticed that mental health problems have been paid more and more attention by employers outside campus, and the psychological test for entry has become fashionable. Zhao Wen (pseudonym), a graduate, passed the written examination and interview of a public institution in the spring recruitment this year. During the physical examination, the unit asked her to go to the hospital for psychological evaluation besides physical examination. In the hospital, Zhao Wen met several job seekers who needed a mental health assessment test just like her. They were asked to fill out a psychological test. These topics involve mental health status, personality characteristics, marriage and family, studies and other closely related contents.

　　Afterwards, Zhao Wen learned that the doctor would make a preliminary conclusion according to the questionnaire, judge the current mental health status of the examinee, and speculate on the problems existing in the examinee’s body, work, life, family, study and other aspects. "Who can guarantee the authenticity of this questionnaire? If someone has been unable to find a job because of a psychological investigation and evaluation, is this a kind of discrimination and unfairness? "

　　A senior psychological evaluation expert said that employers often have different attitudes towards whether to have a psychological test when they enter the job. "48% of unit leaders think that the psychological health of candidates is more important than skills when recruiting. Even if the applicant is very capable, if there are psychological problems, the unit will give up. " However, he admits that there are indeed many units that ask them to do mental health assessment for new recruits, most of which are education, medical care, security and other units, and there are many job seekers who have been rejected because they failed the psychological test.

　　This edition/reporter Liu Xu

The full text is 445 words in total | It takes about 2 minutes to finish reading.

　

Beijing Meteorological Observatory released at 20: 00 on April 6: It is cloudy and sunny during the day, and the north turns to the south wind, with the highest temperature of 27℃. When the weather is dry, it is necessary to pay attention to the safety of using fire and electricity; There is a big temperature difference between day and night, so please adjust your dress in time to avoid catching a cold.

　

It should be noted that in the next few days, the temperature in Beijing will drop first and then rise. From April 8 to 10, there will be weak cold air activity, and the temperature will drop. Everyone should pay attention to increasing or decreasing clothes in time to guard against colds. At the same time, there will be precipitation in the northwest on the night of April 8, and the lowest temperature will drop to 9 C at night, and the highest temperature will drop to 17 C on April 9. Please pay attention to the approaching forecast and take precautions. After April 11th, the temperature gradually rose and stabilized.

　

　

According to @ Meteorology Beijing, the pollen of cypress and willow in Beijing area is gradually coming to an end. However, at this time, plants such as Oleaceae, represented by Fraxinus, are at the peak of loose pollen, and Pinaceae joined the loose pollen army in the middle and late April, so the pollen concentration in Beijing is still at a high level in April, and sensitive people should pay attention to protection.

　

　

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Source: Meteorology Beijing

　

Editor: Du Qiaomin

　

Audit: Zhao Liang Tu Ling.

　

Issued by: Wang Jiao

　

　　The express delivery number publicly sold online is 50 cents each.

　　"I almost fell for it!" Talking about the express claim phone that I just received, Jin Zhu had a lingering fear. "When I lost the bank card number, password and reserved mobile phone number, I realized that it was wrong. Isn’t this a fraud?"

　　Recently, Jin Zhu, a Beijing citizen, was almost defrauded by telecom. The other party used the loss of express delivery and double claims as bait to trick him into a trap. The reporter’s investigation found that due to the epidemic situation, there is a backlog of express delivery nationwide, and criminals have used the psychology of consumers eager for express delivery to commit fraud in many places, and an illegal interest chain for selling express logistics information has been formed. The police in many places reminded that if you receive a courier claim call, you should not trust it. You should immediately contact the official customer service hotline of the courier company.

　　False claim

　　Pay for lost goods by "leaving a password"

　　During the epidemic, several couriers of Jinzhu were delayed. One courier sent from Zhejiang has not moved since it arrived at the Beijing transshipment center on February 29th. Jin Zhu didn’t care too much. "If not, let the seller reissue it."

　　So more than a month passed. Last week, he suddenly received a strange mobile phone number registered in Xingtai, Hebei Province. The other party claimed that it was a courier "customer service". "This person accurately knows all the information of my courier, including my name, address and courier ‘ Do not move ’ The state, he said that the courier has been lost, and it is necessary to pay double the value of the goods. "

　　"Customer Service" asked Jin Zhu to add WeChat, and then they had a voice call. Under the guidance of "customer service" step by step, Jin Zhu paid attention to a "claim settlement" WeChat official account, and then began a series of operations such as binding bank cards. Until the bank card number, password and reserved mobile phone number were involved, Jinzhu began to wake up. "I understood at once that this is fraud."

　　Hang up the voice call, ask the official express customer service, contact the e-commerce seller, and report to WeChat customer service … … After a series of operations, Jinzhu’s back was still cold. "I was bored. How did the liar know that my courier didn’t arrive?"

　　What a leak

　　Express information is 50 cents a piece.

　　Xiao Bai, an insider, said that this is a commonplace topic. In the online shopping process, there are many links from sellers to buyers, and any link may be leaked. In order to help Taobao sellers make up sales, there are even acts of publicly selling express delivery numbers online.

　　The reporter logged into a single number network, which has a large number of express numbers, covering the whole country, involving almost all express companies, and is updated every day. For 0.5 yuan, you can buy a courier number. The reporter tried several times and used the courier company official website to verify and found that all these single numbers were true. Through the single number, you can know the delivery place, receiving place and real-time status of the express delivery. However, the mobile phone number of the consignee is not displayed, and the name of the consignee is rarely displayed.

　　Xiao Bai revealed that after 2017, most courier companies began to adopt "privacy sheets" to protect customer information. "But not all couriers are using privacy sheets because it involves hardware and time costs." The reporter received a courier on April 9, and the complete mobile phone number was displayed on the packing list.

　　It’s difficult to find the consignee’s mobile phone number from the open trading order number. Is there any other way? Yes. In 2017, a case occurred in Jingzhou, Hubei Province, in which 11 courier employees stole and leaked more than 13 million pieces of citizen information. In 2018, a case in which a hacker illegally invaded and stole nearly 100 million pieces of citizen information was exposed. In 2019, a courier company in Nanjing, Jiangsu Province colluded with outsiders, involving the disclosure of about 500,000 pieces of citizen information. This information has been or is intended to be used for accurate fraud.

　　"Basically, in addition to insider stealing, it is hacking." Xiao Bai introduced that after the implementation of the "Provisional Regulations on Express Delivery" on May 1, 2018, the act of revealing user privacy can be fined up to 100,000 yuan.

　　Despite the legal constraints, the illegal act of revealing the privacy of express users has been repeatedly banned and has become an accomplice of telecom fraud. In recent years, there have been many cases of claims fraud caused by the backlog and delay of express delivery in many parts of the country. For example, on March 11, Tianjin Baodi police issued four cases of express claims fraud, involving a total amount of more than 100,000 yuan. The police reminded that the courier company would not contact the claim through the personal mobile phone number. Once receiving the claim call from the "customer service staff", it should remain calm and communicate with the official customer service and e-commerce platform of the courier company in time.

　　Our reporter Sun Yi

　　□ Our reporter Zhou Xiaopeng

　　Online celebrity products have become a unique phenomenon in residents’ life, from scenic spots and amusement parks that are wildly spread in friends circle to cosmetics and delicacies mentioned in various topics, to restaurants and stores that are crowded and lined up forever offline. People are dazzled by various online celebrities, online explosions and popular products.

　　According to the 2018 Insight Report on Economic Development in online celebrity, China jointly released by iResearch and Sina Weibo, as of May 2018, the total number of fans in online celebrity, China has reached 588 million, and the economic scale of online celebrity will exceed 2 trillion yuan.

　　However, with the deepening of online celebrity products in life, a lot of problems about these products, such as exaggerated publicity, uneven quality, trademark infringement and volume fraud, have also emerged, and the "pit" in the "online celebrity economy" has begun to be hard to prevent.

　　Online celebrity store, likui jy and Gui Li are difficult to distinguish.

　　Since the first half of 2017, Xicha has set off a wave of beverage shops in online celebrity, which has become the object of many young people’s pursuit. In the first half of this year, a drink shop named "Xishe Xicha" in Beijing claimed to have spent a lot of money to buy the formula from "Xicha" and jointly operated with Xicha, which attracted many consumers.

　　The fact, however, is that online celebrity’s drink shops have encountered shanzhai. Hi tea quickly voiced that the above-mentioned stores did not have any form of cooperation with them. This situation is not uncommon. For example, after Master Bao, a pastry shop in Wuhan, became popular on the Internet, stores such as Master Jin Dian Bao, Master Jing Bao and Master Supreme Bao blossomed everywhere in Beijing. Because the cottage shops are imitating the signs and products of "Zun Zun", even the names are very close, which is difficult for ordinary consumers to distinguish.

　　One of the reasons for the popularity of Master Bao’s pastry shop is that there are always tens of meters of "long queues" in front of it, and the enthusiasm of fans is amazing. Some media have gone deep into QQ groups, forums and WeChat groups to find out that there are "foremen" who post filling tasks online and organize a large number of part-time workers to queue up as "trustees" on the spot.

　　After the media exposed that this online celebrity store paid people to queue up to create a hot sales scene, the headquarters of this "Master Bao" online celebrity store also responded quickly and apologized, saying that the behavior of one store did not represent the whole brand. However, Beijing Bao Caisheng Catering Company then directly bombarded the "Master Bao" who hired people to queue up as a cottage infringement shop, and both parties went to court for this, and related cases are under further investigation.

　　In another online celebrity drink shop in Beijing, a media reporter "undercover" in the store and was shocked to find the fresh juice that became popular on the Internet. According to the report, the clerk in the drink shop directly squeezed the juice in the tea bag with his hands, and even the clerk himself said it was "disgusting"; The fruit was thrown into the juicer without cleaning, and the operator never wore gloves; There are fresh and attractive fruits on the counter, but the mango … …

　　Confirm whether trendy products are harmful first.

　　Nowadays, as long as the word "online celebrity" is added, and it is fueled by the Internet, people’s enthusiasm for consumption can often be ignited. However, some online celebrity products really can’t stand scrutiny, with high prices and amazing sales, but there are security risks, and even some products are "three noes".

　　In some city bars, luminous drinks are popular. These luminous drinks are packed in cups of various shapes and flash every three or four seconds. Merchants have also given many unique names to the drinks. In fact, it is the ice in the drink that glows, and there are small light bulbs in the ice.

　　According to the investigation by the reporter of Legal Daily, all the luminous ice cubes are made of button cell, which will not cause electric shock due to the low power. However, because the price of this lamp is relatively low, it is likely that the plastic material of the shell is of poor quality, and some toxic substances may be produced after being soaked in corrosive liquid for a long time. In the market, many of these online celebrity products do not have the qualified marks of quality supervision departments.

　　The recently popular "smoking ice cream" also has certain security risks. Food-grade liquid nitrogen refrigeration is added to this online celebrity food. Liquid nitrogen which is atomized quickly is generally safe, but some children may suffer oral injuries after eating it.

　　For these trendy online celebrity products, experts advise consumers to be optimistic about the composition of the products, identify whether the products have qualified instructions and safety labels, see clearly the ingredients such as raw materials of food and drinks, and consider the safety factor when eating. If online celebrity products belong to "three noes" products, they must not be bought and eaten.

　　In addition, some online celebrity products boast various functions, such as "Bigu Meal" in online celebrity, which advocates "detoxification and weight loss", but in fact, it often leads to serious energy intake deficiency, which may lead to muscle decomposition, basal metabolism decline, multiple organ damage, and even increase the risk of cardiovascular disease. Don’t believe these fabricated online celebrity statements.

　　The routines behind online celebrity marketing should be clearly understood.

　　Or a "functional artifact" that can lose weight, sunscreen and whiten; Or it is an "honorary winner" who has won some domestic and international awards and has been endorsed by various authoritative organizations for its quality; Or a "grandiose product" … … Online celebrity products with these unique "temperament" often require consumers to be vigilant.

　　In addition to some online celebrity stores hiring people to queue up to create illusion, there are many routines for online celebrity products. Online celebrity products usually show a lot of praise and experiential promotion on the Internet, and offline stores are often in short supply and business is booming, but in fact they are usually routine.

　　A online celebrity store promoter revealed that most consumer evaluations can be faked, and this fake business has formed a considerable scale. There is a clear charging standard for the evaluation of consumption experience on various e-commerce platforms. Generally, the evaluation of "full number of people" is only a few yuan, but the evaluation of consumption evaluation, detailed experience and great appeal will receive each 120 yuan at the highest.

　　Some media joined the group that acted as the "queue head" and found that there was a special person who posted information about the time, place, number of people and hourly wage of hiring people to queue up. Generally, a person hired 100 people to 150 yuan within 3 hours.

　　Some online celebrity products have many honor "platforms", but these honors are usually unreliable. It has been exposed by the media that the honor of online celebrity Mazibao brand, the so-called "3.15 Anti-counterfeiting and Fidelity Honor Mark" and "Anti-counterfeiting and Fidelity Consumer Alliance Unit", has not been authorized, and its business model has not been certified at all. It is purely a fictional honor and self-promotion.

　　In addition, there are a large number of protagonists who advertise "get rich quickly", often lacking names and surnames, and there is no way to search. Online celebrity products under this marketing model are simply nonsense, and even some of them have violated the law. Consumers must spend rationally and distinguish between authenticity and falsehood.

　　361 cylinders

　　How many ships are you divided into?

　　No more than one ship

　　There is no room for a ship without a cylinder.

　　Wine is the source of Li Bai’s poetic prosperity, and later generations used the mathematical poem "Li Bai Drunk" to describe Li Bai’s heroic spirit of drinking and writing poems. The full text of the poem is: Li Bai walks down the street, carries a pot to buy wine, doubles it when he meets a shop, drinks a bucket when he sees flowers, meets shops and flowers three times, and drinks all the wine in the pot. How many buckets is there in the pot? Can you work out this problem? Teng Yaoyun, a 92-year-old math teacher, used backward calculation, and the answer was 7/8 (7/8).

　　Is math really boring? In order to refute this idea, Teng Yaoyun began to write a book when he was in his 80s. It took more than five years, and more than 400,000 words of "Mathematical Beauty and Mathematical Thinking Method" was finally published before the Teachers’ Day this year.

　　In order to make more people love mathematics, she wrote books in her 80 s.

　　Teng Yaoyun, who graduated from the Mathematics Department of National Women’s Teachers College in 1949, has been teaching mathematics for 36 years, but found that many people are afraid of difficulties in mathematics. Teng Yaoyun’s son, Zhao Yousheng, a professor at the School of Public Administration of Chongqing University, told the chongqing morning post reporter: "My mother told us that many people find mathematics difficult, but it is actually beautiful. The reason why my mother wrote this book is mainly to make the study and teaching of mathematics no longer boring, to help students find beauty in mathematics, to cultivate their interest in learning in the feeling of beauty, to master the thinking method of learning mathematics in interest, and to turn the headache mathematics into a favorite mathematics. "

　　Teng Yaoyun’s "Mathematical Beauty and Mathematical Thinking Method" is just such a book that people no longer feel "horrible" about mathematics. In order to make mathematics more attractive, Teng Yaoyun also asked his wife to join in. Zhao Yousheng said: "My father Zhao Jiayi is an old teacher of Southwest University, and in the book ‘ Mathematics and Poetry ’ In part, there is a palindrome poem by my father, "I have a scene."

　　The golden section can be so interesting.

　　In Teng Yaoyun’s view, mathematics can explain many problems in the real world. For example, the golden section (0.618) is closely related to the magnetic field, human body structure, architectural monuments and even military affairs on the stage. In "Mathematical Beauty and Mathematical Thinking Method", the old man Teng Yaoyun wrote: During the period of War of Resistance against Japanese Aggression, some theatrical troupes were stationed in Jiangjin, and there would be some lectures. I was most interested in the magnetic field on the stage. The announcer had to announce the curtain in the magnetic field, and the wonderful performances had to be performed in the magnetic field to attract the audience to the maximum extent. In the teacher’s explanation, this magnetic field was the golden section of mathematics of 0.618. "

　　For example, in the military, the value of 0.618 is also very useful. "When the rifle was first manufactured, the ratio of the length of the gun body to the handle was very unreasonable, so it was not convenient to aim. In 1918, Alvin, a corporal of the American Expeditionary Force, reformed this rifle, and the ratio of the reformed rifle type to the gun body was just 0.618."

　　The mystery in traditional poetry is originally a mathematical answer.

　　Professor Zhao Yousheng said that a poem circulated among the people can actually be analyzed by mathematics. This poem is: 361 tanks, which can be divided into several ships at your disposal. No more than one ship is allowed, and no one tank is allowed to be missing. After mathematical analysis, the answer to this poem is 19 ships, each with 19 cylinders. "My mother explained it with the square root of." Zhao Yousheng said. Our reporter Luo Xuemei

Special topic: picture channel

Russian-made AL-31FN High Thrust Aeroengine

　　According to a recent article on the website of Russian Airport, although China claims that the J -10 is a new generation fighter developed entirely by domestic engineers, it will be inseparable from the powerful power given by Russian-made engines for a long time from its birth to the future.

　　At first, China had planned to equip the J -10 with the domestic WP-15 engine, but with the cessation of the development of the latter, China had to start looking for a "foreign heart" for the new machine overseas. As the Russian-made Su -27 and Su -30 equipped by the People’s Liberation Army are equipped with AL-31 series engines and show good performance, China finally chose AL-31F as the standard engine of the J -10.

　　However, there are still some differences between the AL-31F equipped with the J -10 and the same type of engine equipped with Russian fighters, so it was named AL-31FN.

　　The development of AL-31FN was completed in 2000. During your stay in 2002-2004, the Russian Salute Company delivered a total of 54 AL-31FN engines to China at a unit price of 3 million US dollars. At that time, the two sides also held talks on the establishment of a maintenance factory for this type of engine in China.

　　In July 2005, Russian Defense Products Export Corporation signed a contract with China to supply another 100 AL-31FN engines within three years (China has the right to buy another 150 engines before 2010), with a total value of 300 million US dollars. In addition, the two sides are still discussing the possibility of assembling this type of engine in China by Chinese enterprises according to the license.

Topic: Israeli bombing of Gaza Strip.

Gaza residents walked through the ruins with their sleeping children in their arms.

　　Israel began to withdraw its troops from the Gaza, but said it would definitely fight back if it was attacked.

　　Both Palestine and Israel threatened to fight again.

　　Ma Zhen (Xinhua News Agency for this newspaper)

　　Although Israel and the Palestinian Islamic Resistance Movement (Hamas) declared a ceasefire in the Gaza and Israeli soldiers began to withdraw from the Gaza, officials from both sides showed a tough stance on the 19th. Israeli officials said that another rocket attack would lead to another offensive, while Hamas’s spokesman claimed that the Israeli army had caused little damage to Hamas, and Hamas militants were capable of continuing to launch rockets.

　　Allegedly to be inObamaEvacuate before taking office

　　After the ceasefire was announced, Israeli troops began to withdraw from the Gaza Strip.

　　Israeli ground forces in the south, east of Gaza and north of Gaza are gradually retreating. As of noon on the 18th local time, Palestinian militants did not fire rockets at Israel.

　　According to the website of Ha ‘aretz, Israeli Prime Minister Ehud Olmert said in a meeting with leaders of several European countries on the 18th that Israel plans to leave the Gaza as soon as possible, but only if the situation is stable.

　　Israeli officials, who did not want to be named, said that Israeli troops would leave the Gaza before US President-elect Barack Obama took office on the 20th.

　　These officials’ statements were not confirmed by government spokesman Mark Regev. Regev said that as long as the Gaza remains calm, the Israeli army will leave immediately.

　　Although the Israeli army has gradually withdrawn from the territory, a large number of troops are still deployed on the Israeli side of the Palestinian-Israeli border area.

　　Restart the "targeted removal" operation at any time.

　　On the 19th, the Jerusalem Post website quoted a senior defense official as saying that the Israeli military planned to give Hamas a day or two to completely stop rocket attacks from the Gaza. During the ceasefire, the Israeli army will not assassinate Hamas’s senior leaders who have gone out of hiding, but if Israel continues to be attacked by rockets, the Israeli army will resume the "targeted killing" operation.

　　The official, who did not want to be named, said that Israel would no longer implement the previous restraint policy, and the Israeli army would respond as long as it was attacked.

　　Israeli Foreign Minister tzipi livni made a tough speech on the radio on the 19th, saying that Israel would definitely fight back if it was attacked by rockets again, and would launch a new offensive.

　　Preventing Hamas from acquiring weapons again is one of Israeli goals. Israel is making joint efforts with the United States and other countries to prevent Hamas from smuggling weapons from Egypt into Gaza again.

　　Israeli Public Security Minister Avi Dichter told Israel Radio that Israel would regard Hamas’s arms smuggling activities as an attack on Israeli territory. "That means that if arms smuggling starts again, Israel will regard it as an attack on Israel."

The models with the price of 100,000-150,000 have always been just-needed models. Worry-free, durability, good reputation and fuel economy have always been the core requirements of consumers at this price, so those models have always sold well, but mainly cars.

Needless to say, the joint venture, Lavida, Sylphy, Corolla, Lei Ling, Sagitar, the five basic perennial list. There are also several domestic models that sell well, and the first one is definitely BYD Qin PLUS DM-i, which is quickly out of the circle with the advantages of hybrid and green cards. Among the traditional fuel vehicles, there are Geely Xingrui and Changan UNI-V, especially Geely Xingrui. With the 2.0T engine and large space, it has successfully attracted many consumers to pay the bill.

Recently, in order to lower the threshold, Geely Xingrui launched a 1.5TD version with a lower price, of which the price of the whirlwind version directly came to 108,700. So today, let’s take a look at the Geely Xingrui Booming Edition. Is it worth buying after the price is reduced?

What are the highlights of the new car?

In appearance, Xingrui’s whirlwind version is consistent with the 2.0TD model. If you don’t look at the body nameplate, you won’t feel that this is a whirlwind version of 1.5TD.

The front of the new car still adopts the fashionable straight waterfall net, and the patchwork three-dimensional design spreads from the middle to both sides, and with the three-stage daytime running lights, it adds fashion and elegance to the front.

And the redesigned front bumper has a more exquisite shape, which makes the front of the car more tense. The addition of the black logo also gives the Xingrui whirlwind version a sense of movement.

On the side of the car, the lines of the new car are still so simple and slender, and a waistline runs through the whole car, which is very powerful.

In terms of size, the booster version and the 2.0TD version are exactly the same, with a length, width and height of 4785/1869/1469 mm and a wheelbase of 2800 mm. Therefore, the spatial performance of Xingrui’s whirlwind version is definitely better than that of the same price model, because you can only buy Sylphy Classic and LaVida cutting-edge joint venture cars with the same price.

Therefore, Xingrui’s whirlwind version is really a dimension reduction blow in front of them, and it is completely emboldened to say that it is the price of A-class cars and the space of B-class cars.

The rear shape of the whirlwind version is still calm and atmospheric, and the taillights are penetrated by a chrome-plated decorative strip, which is very distinctive. And the turn signal also has the function of running water, which is very recognizable after lighting.

However, in appearance, the whirlwind version has its own unique color, which is officially called "mining cyan". It has to be said that this color is very textured from a distance and is really a perfect match with Xingrui.

In the interior, the difference between the booster version and other models is also very small. The LCD instrument and the 12.3-inch central control screen are still there, and the resolution of the central control screen is 1920x720px. At the same time, the configuration of the car is also very rich, integrating entertainment, navigation, voice, Bluetooth and 360-degree panoramic images and other rich application functions.

In addition, the steering wheel and seat of the booster version are wrapped in leather, which is worthy of praise. The interior of the new car is mainly black, but it is not all black. In the center console, the panel decoration, door panel and seat stitching are all treated with bright yellow contrast, which adds a lot of sense of movement and fashion.

However, the biggest highlight of the new car is its powertrain. The turbo version adopts the power combination of 1.5TD+7-speed wet dual-clutch gearbox, with a maximum horsepower of 181 horsepower and a maximum torque of 290 Nm. Compared with the 2.0TD model, the maximum horsepower is only 9 less, and the maximum torque is only 10 Nm less.

Is the new car worth buying?

The largest whirlwind version uses a 1.5TD engine, but the gap with the 2.0TD model is very small in terms of data and actual experience. Although 9 horsepower and 10 Nm are missing, the price is 17,000 yuan cheaper.

And in terms of configuration, such as openable panoramic sunroof, front and rear parking radar, 540-degree transparent chassis, tire pressure monitoring, automatic parking, Gaode map, keyless start+keyless entry, Bluetooth key, remote start, automatic headlights, multi-function rearview mirror, Geely Galaxy OS smart car, 4G car networking, Wi-Fi hotspot, OTA upgrade, electronic gear handle, multi-function steering wheel, leather steering wheel and seat, main

Therefore, the Xingrui Boom Edition has indeed achieved a high match, and it is a completely different experience to compare the joint venture car with the same price.

Moreover, the configuration like the 540-degree transparent chassis doesn’t even have the 2.0TD luxury model of 125,700 yuan, so it can be seen that Geely is "eccentric" to the perfunctory version.

On the whole, the launch of the soaring version of Xingrui really lowered the entry threshold of Xingrui, but the gap between the power and the 2.0TD model is not obvious. More importantly, the configuration is similar to that of the 2.0TD model, and it has indeed achieved the entry and high allocation. Therefore, the whirlwind version has been launched, and it has become the most cost-effective configuration in Xingrui models at present, and there is no one.

So with the same guide price budget, will you buy a joint venture car or a 108,700 Geely Xingrui soaring version?

[car home Fuzhou Preferential Promotion Channel] Recently, we learned from BMW officials that as a representative of luxury electric vehicles, a large-scale price reduction promotion activity is being launched in Fuzhou, with the highest preferential amount reaching 124,900 yuan and the lowest starting price reduced to 320,000 yuan. If you are interested in this luxury electric car, you may wish to seize the opportunity and click "Check the car price" in the quotation form to strive for higher discounts.

BMW i4 is impressive with its unique design. The front face adopts a closed kidney-shaped air intake grille, which highlights its identity as a new energy vehicle and has high recognition. The body lines are smooth, showing a sporty style as a whole, which shows the luxury and dynamism of BMW brand. The BMW i4 is not only amazing in appearance, but also has excellent performance and driving experience.

The body size of BMW i4 is 4785*1852*1455mm and the wheelbase is 2856mm. Its sideways lines are smooth, with a front tread of 1601mm and a rear tread of 1630mm, creating a steady posture. Equipped with 18-inch rims, the front tyre size is 245/45 R18, and the rear tyre size is 255/45 R18, showing a dynamic and exquisite rim style.

The interior style of BMW i4 adopts a simple and scientific design, with a central control screen size of 14.9 inches, which integrates multimedia system, navigation, telephone, air conditioning and other functions, and supports voice recognition control system. The steering wheel is made of leather and has the function of manual adjustment up and down and back and forth. The front seat provides heating function and supports various adjustment modes, including front and rear adjustment, backrest adjustment, height adjustment (4-way), leg rest adjustment and lumbar support (4-way). In addition, the front and rear rows are equipped with USB and Type-C interfaces for convenient charging and data transmission, and the front row is also equipped with wireless charging function of mobile phones. The seat material provides the choice of imitation leather, genuine leather and leather /Alcantara mix and match, ensuring comfort and luxury.

BMW i4 is equipped with a powerful motor with a maximum power of 210 kW and a maximum torque of 400 Nm, which provides excellent power performance and driving experience for drivers.

The owner of car home said that the configuration parameters of Series I’s 3, 5 and X3 are almost the same, but the shell is different, but for the sake of personality, he willfully spent more than 100,000 yuan to buy the I4. As an imported model, he doesn’t have to worry about the need to deduct the bid after buying it, and the design of "big nostrils" makes people see that it is extraordinary at a glance. When many people see him driving this car, they will guess that the price is around 600,000, which makes him feel a little embarrassed.

International online car channel news: January 11th, the beginning of the new year, Haval brand night in the garden city of Xiamen lead tide opened. "3/4 scale car" new category SUV Haval big dog family added fierce general, 2.0T four-wheel drive Chinese pastoral dog version officially launched, priced at 155,900 yuan, heavy explosion field, tide wild attack. Electric sound hi explosion light and shadow cool, Haval big dog and thunderbolt locomotive uninhibited encounter, Haval "wild". Big dog launched "fierce pet seven gift", the minimum down payment of 0 yuan can be successfully "claimed", so that every "big dog fan" who is playing with the tide can move forward without fear.

Harvard Dog

It’s not a good idea.Haval Big Dog sells more than 10,000 yuan a month, which is the success of the category and the product that caters to the value needs of users’ products

Since the launch of the Haval Big Dog 1.5T model on September 25 last year, the sales volume has always been on the fast lane of "Internet celebrity explosion". In the past December, in the third month of the launch of Haval Big Dog, the sales volume exceeded 10,000, an increase of 19% compared with November. In just 97 days of listing, more than 28,000 vehicles have been sold, becoming the "dark horse of the year" in the SUV market. In order to meet the personalized experience of more young users who are brave enough to stand on the trend, Haval Big Dog launched the 2.0T four-wheel drive "Chinese Pastoral Dog" version.

December sales

Haval Big Dog has evolved from a user brand to a fan brand, gaining insight into the interests of users in the circle, and giving you what you love. Li Jialong, the head of the tide creation, customized the big dog theme song "Big Dog" to burn the scene, and the wild and uninhibited rap style has achieved the pattern and ambition of the new generation of trend ICON; Pi You and Brother Dog have flirted with each other again, deciphering the wild advantage of Haval Big Dog. Haval Dog accompanies you to go into the rivers and lakes alone in the distance. The 2.0T four-wheel drive model continues the trendy power aesthetic and adds new design elements: the grille style not only retains the original layer type, but also adds a canyon-enclosed grille, which brings the wild and majestic charm of the whole vehicle; the addition of Sichuan-style decorative strips and high-brightness black shark fin antennas outlines the wild lines of the original ecology; the five-spoke armor-style wheels are replaced, and the wild is fully advanced.

Harvard Dog

Exclusive trend personality elements are added to make the Haval Big Dog 2.0T four-wheel drive version show a more wild and uninhibited atmosphere; while demonstrating the brave and independent adventurous spirit, it brings a unique identity to the trend elite. The Chinese Pastoral Dog Edition, with its all-round advanced posture, allows the 3/4 scale car category to move forward, and continues to "attack the city" in the SUV market segment.

2.0 GDIT is full of wildness, and the top ten "Chinese hearts" are powerful

The Haval Big Dog 2.0T four-wheel drive version is equipped with the 2.0GDIT engine that won the top ten "Chinese hearts" in 2020. It has a series of industry-leading advantages – up to 38.3% of the industry’s top thermal efficiency, environmental protection emissions that meet the most stringent standards in China, Europe and the United States, 10% weight reduction, and the same-level leading NVH noise control ability. The engine has also been specially tuned for the application scenarios of Haval Big Dog. Under low-speed off-road conditions, 1500~ 4000 rpm can burst out with a powerful torque of 325N · m, "you can easily get out of trouble when you encounter rough roads, and you can also get out of trouble when you cross the ravine." Under the high-speed operating conditions of 6000-6300 rpm, the vehicle can continuously output a maximum power of 155KW, maximizing the advantages of high efficiency and low emissions, allowing users to enjoy ease and confidence every time they get out of trouble at a low speed or overtake at a high speed.

2.0GDIT engine

The only carrier-mounted SUV with two locks within 300,000 2 locks inject "soul" into the dog life

Haval Big Dog 2.0T 4WD Edition

The Haval Big Dog 2.0T 4WD version has the "soul of a high-performance off-road vehicle". One of the locks comes from the central electronically controlled differential lock of the Haldex 4WD system, while the other rear axle electronically controlled mechanical tooth-embedded differential lock can help the vehicle achieve 100% torque transmission between the wheels in the case of a single wheel skidding, making it easy to get out of trouble in complex road conditions. It also makes driving on snow, mud and sand more stable and smooth.

Intelligent four-wheel drive × 6 driving modes, conquer all terrain and ignite passion

With the blessing of intelligent four-wheel drive, the Haval Dog Chinese Pastoral Dog Edition has opened up a path for off-road dreams. The fifth-generation Haldex four-wheel drive system of BorgWarner adopts the same platform technology as the luxury joint venture SUV with more than 300,000 yuan. This intelligent four-wheel drive system allows Haval Dog to realize transient interaction response between systems within 110 milliseconds, and can reach 1200 Nm peak torque within 200 milliseconds, instantly improving vehicle acceleration performance. The torque ratio of the front and rear axles can reach 50:50, so that Haval Dog’s obstacle-crossing ability can be improved again.

Six terrain driving modes

"6" terrain driving modes (standard mode/sports mode/mud mode/sand mode/snow mode/economic mode) further improve off-road adaptability. Haval’s engineers have traveled 126 times through snow-capped mountains, plateaus, and deserts, recorded more than 13,000 working condition data, determined 320 control parameters, and finally made it more perfect and powerful, allowing Haval’s users to indulge and enjoy the passion and fun of conquering all terrain.

Millions of bounties are offered to create a car logo, making the big dog category bigger and bigger

The explosive road of Haval Big Dog has not only attracted the attention of more young people because of its comprehensive leading product strength at the same level, but also because of the marketing concept of "national co-creation". In addition to the launch of the 2.0T four-wheel drive Chinese Pastoral Dog version and the exciting car purchase gift, this conference also officially launched the "Million Reward, Car Logo Co-creation – Haval Big Dog Car Logo Global Co-creation Program". The program joined hands with the domestic industry’s leading designer website Luoke to carry out cross-border cooperation: officially launched the industry’s first car logo co-creation. All users can participate in creative design through the official website of Haval SUV and the special page of Luoke.com, upload works, and publicly vote for ideas that meet the requirements. Winning users can get up to 1 Haval Big Dog Labrador version vehicle (10-year use right). In addition, Haval Big Dog will also present life around the co-creation of the car logo, create a series of peripheral merchandise, generate merchandise with the car logo, and evoke link marketing with merchandise. For Haval Big Dog, the car logo is not just a pattern, but also a communication of life concept.

Harvard Dog

Trendy power aesthetic design, domineering and brave majestic momentum, surging power output, intelligent driving assistance technology, and excellent quality of exquisite manufacturing technology, the arrival of Haval Big Dog 2.0T four-wheel drive Chinese Pastoral Dog Edition has brought a leap in product value and user interests to the 3/4 scale car category, consolidating its "city-level off-road SUV" pioneer status, and also making Chaoplay proposition deeply rooted in the hearts of the people. Whether it is a million-dollar bounty, a national interaction created by the car logo, or a pure and ultimate off-road attitude, Haval Big Dog 2.0T four-wheel drive Chinese Pastoral Dog Edition has come to a new realm of "people, cars, and life". (Image source: Haval Auto)