Give you a few more

One day in 1796, at the University of Gottingen in Germany, a 19-year-old young man with great mathematical talent finished his dinner and began to work as a tutor to assign students alone. His daily routine of three math problems.

As usual, the first two questions were successfully completed within two hours. The third question, written on a small piece of paper, required only a compass and an unmarked ruler to make a regular 17-sided polygon. As the young man continued to do it, he felt more and more strenuous. At first, he thought, maybe the instructor saw that I was doing the questions smoothly every day, so he would specially increase the difficulty for me this time. However, time passed by minute by minute, and there was no progress on the third question. The young man racked his brains and couldn't figure out how the existing mathematical knowledge could help solve this problem.

Difficulties arouse the fighting spirit of young people: I must make it! He picked up a compass and a ruler and drew on the paper, trying to find the answer using some unconventional ideas.

Finally, when a glimmer of light showed through the window, the young man breathed a sigh of relief. He finally solved this difficult problem!

When meeting the mentor, the young man felt a little guilty and self-blame. He said to his tutor: "I worked on the third question you assigned me all night long. I failed in your cultivation of me..."

The tutor took a look at the young man's homework and immediately Stunned. He said to the young man in a trembling voice: "Did you really make this yourself?" The young man looked at the excited instructor with some doubts and replied: "Of course, but I am stupid. It took me a whole night to do it." Come out." The instructor asked the young man to sit down, took out the compass and ruler, spread the paper on the desk, and asked the young man to make a regular 17-sided polygon in front of him.

The young man quickly made a regular 17-sided polygon. The instructor excitedly said to the young man: "Do you know that you solved a mathematical mystery that has a history of more than 2,000 years? Archimedes didn't solve it, and Newton didn't solve it either. You actually solved it in one night. ! You are really a genius!" Years later, when the young man recalled this scene, he always said: "If someone told me that this is a mathematical problem with a history of more than 2,000 years, I would not be able to solve it in one night."

This young man is Gauss, the prince of mathematics.

Some things, when we don’t know how difficult it is, we can often do better!

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Zeng Guofan is one of the most influential figures in Chinese history, but his talent was not high when he was a child. One day while studying at home, he repeated an article countless times and was still reading it aloud because he had not memorized it yet. At this time, a thief came to his house and lurked under his roof, hoping to make some profit after the scholar went to bed. But I waited and waited, even if I didn't see him sleeping, I still read the article over and over again. The thief was furious, jumped out and said, "What kind of book can I read at this level?" Then he recited the article and walked away!

A thief is very smart, at least smarter than Mr. Zeng, but he can only become a thief. But Mr. Zeng became a person even Chairman Mao Zedong admired: "The most powerful man in modern times."

"Diligence can make up for one's weakness." That thief has a very good memory. He can memorize articles he has heard several times. He is also very brave. He can actually dance when others are not sleeping. He came out "very angry" and after teaching Mr. Zeng a lesson, he still endorsed him and walked away. But it is a pity that he is not well-known. Mr. Zeng later hired a large number of talents. It is said that this thief had an acquaintance with Mr. Zeng, so he could put his talents to use. Unfortunately, his talent was not coupled with diligence, and he became unknown. end.

Warm reminder: Great success is directly proportional to hard work. Every time you work, you will gain. Over time, from less to more, miracles can be created.

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Zhao Xiu Xiu, the famous contemporary classification of dragonflies and parasitic wasps in my country scientist.

Zhao Xiuxiu was a very naughty child when he was a child.

He often goes out to play with the children in the village and is particularly fond of all kinds of bugs.

Once, Zhao Xiuxiu and another child went to play outside the village and saw a honeycomb hanging on a tree. He said to a child: "Everyone says you can't poke a honeycomb. Once you poke it, the bees will come out and sting you. How about we think of a way to poke it twice?" The child got excited and said, "Okay! You Tell me what to do!" Zhao Xiu thought for a while and said, "Let's go home and get a mosquito net, but don't let the adults know!" Then the child followed him. They took a mosquito net and returned to the tree.

Zhao Xiu climbed up and hung a rope from the branch to hang the mosquito net. Then he and the child huddled under the mosquito net and used a long bamboo pole to poke at the honeycomb. The bees were enraged and flew over along the bamboo poles in groups, trying to sting people, but the mosquito nets firmly blocked the bees out. The child jumped and shouted: "Wow! It's fun!" Zhao Xiuxiu also laughed happily. He After poking enough, I threw the bamboo pole away and wanted to wait for the bees to fly away before taking the mosquito net, so I sat in the mosquito net and watched the bees flying around. At this time, the bees found that the bamboo pole to poke their nests was gone, and they swarmed. The team flew back to rebuild the honeycomb. Zhao Xiu's eyes were straight, and he thought blankly: "How can they repair a house like a human being?" From then on, he became very interested in insects and secretly determined: "When I grow up, I must study these small animals well." ”

After going to school, he became more fond of insects. He would always lie on the ground alone and watch ants, or catch dragonflies, butterflies and other small insects, and observe and study them carefully.

One day, after school, Zhao Xiu went home with his classmates. When passing by the toilet, Zhao Xiu asked his classmates to wait for him, saying that he wanted to go to the toilet. But after more than half an hour, he didn't come out. He went to the toilet to see what happened to him. As soon as he walked in, he was angry and funny. It turned out that Zhao Xiu found a jumping spider catching flies. He was so fascinated by it that he forgot about his classmates outside. Waiting for him.

Zhao Xiu loved working with insects when he was young. When he grew up, he really started studying insects.

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As a boy, Mao Dun had a wide range of interests and hobbies. He loved reading "Xianshu". When he got home from school, he found a printed copy of "Journey to the West" in the bungalow where the sundries were kept. Although the book was printed on wood and some of the writing was blurred, he couldn't put it down as soon as he got the book and picked it up. Mao Dun's parents did not stop him from reading those chapters that could be read. They also found a stone-printed "Journey to the West" for him to read, and took the time to tell him the stories in "Journey to the West" and talk with him. His parents also taught him earnestly that when reading novels, he should not only read the few chapters with interesting illustrations, but also carefully consider the literature and science to make progress in Chinese. His interest became more intense. He devoted his spare time to reading classic literary classics such as "The Romance of the Three Kingdoms", "Water Margin", "The Scholars", and "Strange Stories from a Chinese Studio", which paved the way for his later study of classical literature and creation. This laid a good foundation. Perhaps influenced by the exquisite illustrations in old novels, Mao Dun loved painting and seal cutting when he was a boy. When he learned painting, he not only copied the "Mustard Seed Garden Painting Book" carefully and practiced the basic skills, but also liked changes and innovations. Mao Dun's mother found several different drawing books and asked him to study them carefully and draw new ideas. The engraving knife used by Mao Dun to learn seal cutting was made by himself using an umbrella bone. He was very excited during the silkworm-raising season every year. After school, he would gather around his mother and ask questions. The mother would ask her son to take silkworm tools, feed mulberry leaves, and guide him to carefully observe the silkworms. The changes in the entire growth process from "harvesting ants" to "raising clusters". The knowledge of sericulture used by Mao Dun in his later novel "Spring Silkworms" was accumulated during this period. Until his later years, Mao Dun still said affectionately: "The most important part of my childhood was The interesting thing that comes to mind now when I recall it is silkworm rearing.

”

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Emily Bronte ( 1818-1848), a famous British female writer. Emily Bronte was born in a poor teacher's family in England. When she was very young, her mother died together with her sister Charlotte. This brought about the burden of life. Every day, her sister went to work as a tutor in a wealthy family, and she did housework at home. Emily liked literature very much, and she had read several of her father's books. She wanted to have some new books! But her family was poor and she had no money to buy books. In order to read more books, she took all the time: cooking with one hand and cooking with the other. Carrying books; when she went to the market to buy things, she couldn't bring her favorite books with her, and she almost ran into a carriage several times.

Once, after Emily finished washing her clothes, she started to make lunch. She put the bread in the oven to bake while reading a book. The tragic fate of a little girl in the book deeply attracted her, and she was completely immersed in sadness. I forgot the bread in the oven. This time, my sister came back. As soon as she walked in, she felt something strange and shouted, "Emily, what's burned?" "Emily was wiping her tears sadly at this time and did not hear her sister's cry. Charlotte sniffed everywhere and found that the oven was on, which is where the smell came from. She hurried over and turned it off. Then he picked up the toasted black bread and handed it to Emily. Emily was surprised, raised her head, and looked at her sister with red eyes: "What is this? Is that the poor little girl's lunch? She eats this kind of black bread all the time..." Charlotte knew that her sister was bored again while reading, so she smiled and said, "No, this is lunch for us poor little girls! "Emily then remembered that the bread should have been taken out a long time ago.

Emily used every minute and every second like this to read and ponder, and thus read many good books. Later, she began to write. After unremitting efforts, she finally wrote a work about the civilized world - "Wuthering Heights". ----------

Lin Qiaozhi is a famous expert in obstetrics and gynecology in my country. She has treated countless patients and delivered thousands of children herself. People respected her very much. However, when she was just born, her family didn't like her at all because she was a girl.

Qiaozhi is a smart child. When she reaches the age of study, Both her brothers went to school happily with their schoolbags on their backs. Qiaozhi was left at home by her father because she was a girl. She had to watch her brothers go to school. But she wanted to study very much, so she went to beg her mother.

My mother was soft-hearted and finally agreed to let me give it a try. Qiaozhi was very happy and said to her mother: "I will study hard!" "

After going to school, Qiaozhi studied very seriously, and many male classmates could not compare with her. The male classmates said unconvinced: "A little girl, look how capable she is! ? ”

Once, the final exam was coming, and the students were reviewing their homework nervously. During the break, Qiaozhi and several female classmates were discussing problems. At this time, several boys shouted loudly at them He shouted: "This exam is very difficult. You girls will definitely fail. It would be great if you can pass." Qiaozhi stood up immediately after hearing the "hoo" and said confidently: "What's wrong with the girl?" Girls still take first place. Let’s compare! If a boy gets 100 points, I will get 110 points! "

For this sentence, Qiaozhi studied harder. When others read the book once, she read the book three times. When others did one question, she did 10 questions. When others went to bed at 9 o'clock, she But he had to go to bed at 11 o'clock or 12 o'clock in the middle of the night, and he had to work harder than others.

Soon, the exam came. Qiaozhi answered the questions carefully and calculated carefully. After the exam was over and the results were announced, Lin Qiaozhi really got the first place in the class.

The boy had to say with admiration: "Lin Qiaozhi is really good!"

From now on, Qiaozhi's words will be deeply engraved in her heart, and she will get "110 points" in everything. Better than boys! Relying on her tenacious perseverance, hard work, continuous progress, and hard work, she finally became the first-class female obstetrics and gynecology expert in our country.

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Su Buqing was born in a poor peasant family and has been living in the countryside since she was a child. Working here: herding cattle, mowing grass, plowing fields, everything. At that time, he thought that he would never have the chance to study in this life.

It happened that a wealthy family in the village hired a tutor to teach his son how to read. When Su Buqing had free time, he would listen outside the window and write and draw. Unexpectedly, the young master failed to learn well, but Su Buqing learned a lot. His uncle saw that he wanted to study so much, so he took out the money and persuaded Bu Qing's father to send him to a high school a hundred miles away to study.

In the first semester of high school, he came last in the exam. Teacher Chen called him to the office and encouraged him enthusiastically. This made Su Bubiao deeply moved and determined to work hard. Once he really made up his mind, the situation was different. From the second semester until graduation, he took the first place in every semester.

Su Buqing is a model of seizing time and studying diligently. Since he was in elementary school, he has read many good books. After entering junior high school, his first composition was handed in. When the teacher saw that the writing method was very similar to the writing method of the famous "Zuo Zhuan" in ancient times, he wondered whether Su Buqing had written it himself. During class, the teacher wanted to test him. He randomly clicked on an article in "Zuo Zhuan" and asked him to tell what he wrote. Unexpectedly, he immediately recited the article to the teacher word for word. This surprised the teacher and classmates. It turned out that he could recite Zuo Zhuan by heart after reading it! This is because "Ling Butou" helped him. In his later years, Su Buqing had more things to do, but he still wrote many mathematical works and other articles. He himself said that this was also caught by "zero cloth heads".

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Foreign newspapers once introduced Hua Luogeng as follows: "His research The range of his works makes him one of the leading mathematicians in the world. ”

“So, which university did he graduate from?” If you ask, the answer will be. You are shocked: he only went to junior high school and never went to college! His success relies on tenacious and hard-working self-study.

Hua Luogeng turned out to be a naughty and playful child, but he was very talented in mathematics. Once, the math teacher asked a famous calculation problem in ancient China - there is something, I don’t know how much it is. When counting 3 3's, 2 is left; when counting 5 5's, 3 is left; when 7 7's are counted, 2 is left. How much does this stuff cost? ——After the topic came out, the students started talking, and no one could tell the answer. Just as the teacher was about to open his mouth, Hua Luogeng raised his hand and said, "I figured it out, it's 23." Not only did he correctly say the number, but his algorithm was also very special. This surprised the teacher.

However, after finishing middle school, this smart child dropped out of school because his family was poor. He returned home and started business in his own small grocery store, selling cigarettes, needlework and other things, and shouldered the burden of supporting the family for his father.

However, Hua Luogeng still loves mathematics. If you can’t go to school, you have to find a way to learn on your own. Once, he borrowed some mathematics books from a teacher, and after reading them, he became obsessed with them. From then on, he studied mathematics while doing business and settling accounts. Sometimes he is so absorbed in reading that he forgets to say hello to people buying things. In the evening, after the shop closed, he roamed around the kingdom of mathematics wholeheartedly. Throughout the year, I spend almost ten hours every day studying the borrowed mathematics books. Sometimes he would sleep until midnight, and when he remembered the solution to a mathematical problem, he would get up, light a small oil lamp, and write down the solution.

At this moment, he contracted typhoid fever and lay in bed for half a year. He finally saved his life, but his left foot became permanently disabled.

Despite poverty and illness, Hua Luogeng still devoted all his efforts to mathematical research and published several important papers in succession, which attracted the attention of Professor Xiong Qinglai of Tsinghua University (we will talk about this in Xiong Qinglai's story).

In 1932, with the help of Professor Xiong Qinglai, Hua Luogeng joined the Department of Mathematics at Tsinghua University as an administrator. He has to do the work of several people, but he continues to take self-study courses. He also studied English and German by himself, and can write papers in English.

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As a boy, Mao Dun had a wide range of interests and hobbies. He likes to read "idle books" very much. Once when he came home from school, he found an engraved copy of "Journey to the West" in the bungalow where the sundries were kept. Although the book was printed on a wooden board and some of the handwriting was blurred, he couldn't put it down as soon as he got it. He picked out the chapters that could be read and read them with gusto. Mao Dun's parents did not stop this, and even found a stone-printed "Journey to the West" for him to read. They took the time to tell him stories in "Journey to the West" and talk with him about the merits and demerits of the characters in the book. His parents also taught him earnestly that when reading novels, he should not just read the few chapters with interesting illustrations, but should ponder them carefully to understand the literature and science in order to improve his language skills. After Mao Dun entered high school, his interest in reading novels became even stronger. He spent his spare time reading extensively such classic literary masterpieces as "The Romance of the Three Kingdoms", "Water Margin", "The Scholars", and "Strange Stories from a Chinese Studio". This laid a good foundation for his later study of classical literature and creation. Perhaps influenced by the exquisite illustrations in old novels, Mao Dun loved painting and seal cutting when he was a boy. When he studied painting, he not only carefully copied the "Mustard Seed Garden Painting Manual" and practiced basic skills, but also liked changes and innovations. Mao Dun's mother found several different painting books and asked him to study them carefully, learn from their strengths, and come up with new ideas. The carving knife that Mao Dun used to learn seal cutting was made by himself using a piece of umbrella rib. In addition to reading novels, painting, seal cutting, and singing, Mao Dun also conducted agricultural observations. During the sericulture season every year, Mao Dun was particularly excited. After school, he would gather around his mother and ask questions. The mother asked her son to take silkworm gear and feed mulberry leaves, and guided him to carefully observe the changes in the entire growth process of the silkworms from "collecting ants" to "growing up clusters". The sericulture knowledge used in Mao Dun's later novel "Spring Silkworms" was accumulated during this period. Until his later years, Mao Dun still said affectionately: "The thing that I was most interested in when I was a child, and now that I recall it vividly in front of my eyes, is raising silkworms."

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Revolutionary pioneer Li Dazhao developed the good habit of concentrating on study when he was a boy in school. When he does his homework, he concentrates completely and is never disturbed by the outside world. He has a tabby cat at home, which is innocent, lively and very lovable. He often plays with it in his free time. But when Li Dazhao was doing his homework, even though the little cat kept meowing "Miao-wu" beside him, and sometimes even stretched out its little paws to scratch him, he didn't even look at it and continued to do his homework. Later, as time went by, the kitten got used to it. Whenever he saw him bending down to read a book or do homework, he would hide far away and never disturb him.

Another time, when he was concentrating on his homework, two sparrows suddenly flew out of the window, shouting "chirp-chirp" and started fighting with each other on the windowsill. Peck me, I'll peck you, and roll on the windowsill from time to time. At this time, if Li Dazhao reaches out to grab them in a hurry, he can catch them easily. But Li Dazhao didn't move, as if he didn't see it at all, and kept immersed in writing. How seriously he does his homework!

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Once, Gandhi was disheveled. I was walking on the street and happened to be bumped into by my mother who was out shopping. My mother couldn't stand Gandhi's improper appearance, so she said something to him on the spot.

Unexpectedly, Gandhi didn't admit his mistake, but he even confidently contradicted his mother and said: "Mom, you are making too much of a fuss, aren't you? Occasionally being slovenly doesn't get in the way, why should you be like this...?"

Before Gandhi could finish his words, his mother quickly shook her head to stop him and said, "Son, people who don't pay attention to details must be careless, and can careless people achieve great things? Besides, he doesn't even dress properly. If you don’t stick to it, how can you follow your father’s lead in dealing with everyone’s big affairs in the future? Think about it! I don’t need you to bow to me and admit your mistakes now, I just hope you can change it in the future.”

Again. Once, the British government at that time sent Inspector Jerushi to the school to test the students' English proficiency. Jerushi asked five questions in one session. Gandhi answered four of them correctly, except for the word "teapot" which he could not write. He sat in his seat and stared at the exam paper, thinking about it, but he couldn't remember. At this time, the teacher happened to come behind Gandhi. Seeing that Gandhi had not answered a question, he repeatedly kicked the legs of Gandhi's chair with the toe of his shoe, suggesting that Gandhi peeked at the answers of the classmates sitting next to him. But not only did Gandhi not want to peek at other people's answers, but he quickly handed in the examination paper. When the test results were announced, the teacher called Gandhi over and said to him: "Silly boy, what does it matter if you cheat once in a while? This time the whole class got full marks, and you were the only one who got 80 points; if you listen to the teacher , I will definitely get 100 points. Alas! What a pity, you are only missing 20 points, otherwise we would have been praised.”

Gandhi was like this from childhood to old age. Because of his stubbornness in choosing good, he was able to resist the unreasonable oppression of the British colonial government with the adventurous spirit of a revolutionary; and with the compassion and compassion of a religious man, he fought for independence and freedom for all the people of India, and became the greatest in the eyes of the Indian people. - Mahatma.

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Washington’s father was a large manor owner. There were many orchards in his family, and the orchards were full of There are fruit trees, but there are also some miscellaneous trees mixed in. One day, his father gave Washington an ax and asked him to cut down the miscellaneous trees that affected the growth of fruit trees. He also repeatedly told his son not to hurt a fruit tree.

In the orchard, Washington swung his ax and kept cutting down miscellaneous trees. Suddenly, he accidentally chopped down an apple tree. He was anxious and afraid, for fear that his father would know.

In the evening, my father came to the orchard. Although he already knew about it, he pretended not to know and deliberately asked: "You didn't cut down the fruit trees, did you?"

After listening to his father's question, Washington thought for a moment and said seriously to his father: "I don't lie, Dad. It's just my carelessness. I chopped down an apple tree."

For Washington His father was very pleased with his honesty. He said to Washington: "You should be criticized for cutting down the apple trees, but you did not lie, so I will forgive you. This is because I would rather lose a hundred apple trees than I don’t want to hear your lies!”

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