1796 One day, at the University of G? ttingen in Germany, a 19-year-old young man was extremely talented in mathematics. After dinner, he began to do three routine math problems assigned to him by his tutor.
As usual, the first two topics were successfully completed in two hours. The third question, written on a small piece of paper, is to make a positive 17 polygon with only compasses and an uncalibrated ruler. The more young people do, the more tired they feel. At first, he thought, maybe my tutor saw that my daily problems were going well, and this time it added to my troubles. However, with the passage of time, no progress has been made on the third question. Young people have racked their brains, but they can't think of any help to solve this problem.
Difficulties aroused the young people's fighting spirit: I must do it! He picked up a compass and a ruler and drew on the paper, trying to find the answer with some unconventional ideas.
Finally, when there was a glimmer of light outside the window, the young man breathed a sigh of relief, and he finally made this difficult problem!
Young people feel a little guilty and blame themselves when they meet their mentor. He said to his tutor, "The third question you assigned me, I worked all night and failed to live up to your cultivation ..."
When the tutor took over the young man's homework, he was shocked at once. He said to the young man in a trembling voice, "Did you really do this yourself?" The young man looked at the excited tutor with some doubts and replied, "Of course, but I was so stupid that it took me all night to make it." The tutor 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 positive 17 polygon in front of him.
The youth quickly made a regular 17 polygon. The tutor said excitedly to the young man, "Do you know that you have solved a math unsolved case with a history of more than 2,000 years? Archimedes didn't solve it, Newton didn't solve it, and you solved it overnight! You are a genius! " Many years later, when the young man recalled this scene, he always said, "If someone told me that this is a math problem with a history of more than 2,000 years, I could not solve it for one night."
This young man is Gauss, the prince of mathematics.
Some things can often be done better when we don't know how difficult it is!
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Zeng Guofan is one of the most influential figures in the history of China, but his talent was not high since he was a child. One day when I was studying at home, I repeated an article many times and was still reading it aloud because he hadn't memorized it yet. At this time, a thief came to his house and lurked under his eaves, hoping to get some benefits after the scholar went to bed. But wait and wait, just don't see him sleeping, or read the article over and over again. The thief was furious and jumped out and said, "What books do you read at this level?" Then recite the article and leave!
The thief is very clever, at least smarter than Mr. Zeng, but he can only be a thief, and Mr. Zeng has also become the person admired by President Mao Zedong: "the richest man in modern times."
"Diligence is a good training, and one point of hard work is one point of talent." The thief has a good memory. He was brave enough to recite the article after listening to it several times. He can jump out of "great anger" when others are not sleeping. Teach Ceng Laoshi a lesson, so we have to endorse and leave. But unfortunately, the name is unknown, and Mr. Zeng later used a lot of talents. It is said that the thief and Mr. Zeng have known each other for a short time and can be used for one or two things. Unfortunately, his talent was not coupled with diligence, and he became ignorant.
Tip: Great success is directly proportional to hard work. Work hard and you will get something. Over time, from less to more, miracles can be created.
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Zhao Xiufu is a famous taxonomist of dragonflies and parasitic bees in contemporary China.
Zhao Xiufu was a naughty boy when he was a child. He often plays in the wild with the children in the village, and especially likes all kinds of bugs.
Once, Zhao Xiufu and another child went to play outside the village and saw a beehive hanging on a tree. He said to which child, "Everyone says you can't poke a honeycomb. When you poke it, the bees will come out and sting people. What can we do to poke it twice? " The child was very excited and said, "Good! What do you say! " Zhao Xiufu cocked his head and thought for a moment and said, "Let's do it! Let's go home and get the mosquito net. But don't let adults know! " Which child follows him. They took a mosquito net and went back to the tree.
Zhao Xiufu climbed the ladder, hung a rope from the branch and hung a mosquito net. Then he and his children huddled in mosquito nets and poked the honeycomb with long bamboo poles. The bees were angered and flew along the bamboo pole in droves, trying to sting people, but the mosquito net kept the bees out firmly, and the child jumped up and cried, "Good! Fun! Zhao Xiufu also smiled happily. He stabbed enough, threw away the bamboo pole, and wanted to wait for the bees to fly away before taking the mosquito net, sitting in the mosquito net and watching the bees fly around. At this time, the bees found that the bamboo poles that had poked the nest were gone and flew back in droves to rebuild the hive. Zhao Xiufu's eyes looked straight. He just thought, "How can they build houses like people?" From then on, he became very interested in insects and secretly made up his mind: "When I grow up, I must study these small animals well. "
He prefers insects after school. He always looks at the ants on the ground alone, or catches a dragonfly or a butterfly and carefully observes and studies them.
One day, after school, Zhao Xiufu went home with his classmates. When passing by the toilet, Zhao Xiufu asked his classmates to wait for him and said that he wanted to go to the toilet. But he didn't come out after drilling for more than half an hour. The classmate was in a hurry and went to the toilet with his nose covered, trying to see what was wrong with him. I was angry and funny when I walked in. It turned out that Zhao Xiufu found a jumping spider catching flies. He was so absorbed that he forgot that his classmates were waiting for him outside.
Zhao Xiufu liked to deal with insects in this way when he was young. When he grew up, he really began to study insects.
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When he was a teenager, Mao Dun had a wide range of interests. He likes reading "light books" very much. Once when he came home from school, he found a block engraved with The Journey to the West in the bungalow where the sundries were kept. Although the book was carved on the board, some of the handwriting was vague, but as soon as he got it, he couldn't put it down, picked out those chapters that he could read and read it with relish. Mao Dun's parents didn't stop there, but also found a lithograph "After Journey to the West" to show him, took time to tell him the story in The Journey to the West, and chatted with him about the merits and demerits of the characters in the book. His parents also earnestly taught him that reading novels should not only look at those interesting illustrations, but also carefully ponder and understand the arts and sciences, so that the Chinese can progress. After entering high school, Mao Dun became more interested in reading novels. In his spare time, he reads classic literary works, such as Romance of the Three Kingdoms, Water Margin, Scholars and Strange Tales from a Lonely Studio. This laid a good foundation for his later study of classical literature and creation. Perhaps infected by the exquisite illustrations in old novels, Mao Dun liked painting and seal cutting very much when he was young. When he studied painting, he not only copied the mustard seed garden seriously to practice basic skills, but also liked change and innovation. Mao Dun's mother found several different paintings for him to ponder carefully, learn from others and draw new ideas. Mao Dun's carving knife was made of an umbrella rib by himself. Besides reading novels, painting, seal cutting and singing, Mao Dun also observed farming. Mao Dun is particularly excited during the silkworm rearing season every year. After school, he asked questions around his mother. The mother asked her son to pick up the silkworm tools and feed the mulberry leaves, and guided him to carefully observe the changes in the whole growth process of silkworms from "collecting ants" to "clustering". The knowledge of sericulture used in Mao Dun's later novel Spring Silkworm was accumulated during this period. Until his later years, Mao Dun said with deep affection, "What I was most interested in when I was a child, in retrospect, sericulture is just around the corner."
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Emily bronte (18 18- 1848) is a famous British woman writer. Emily bronte was born in a poor teacher's family in England. Her mother's family died when she was very young. Young Emily and her sister Charlotte shoulder the burden of life together. Every day my sister goes to a rich family to be a tutor and does housework at home by herself. Emily likes literature very much. Dad's book, she read it over and over for several times, and she wants to have some new books! But the family is poor and has no money to buy books for her. She had to borrow from others everywhere. In order to read more books, she always grasps: when cooking, she cooks with one hand and holds the book with the other; She can't take her beloved books with her when she goes shopping in the market. Several times, she almost ran into a carriage.
Once, Emily finished washing clothes and began to cook lunch. While reading a book, she baked the bread in the oven. This is a newly borrowed novel, in which the tragic fate of a little girl deeply attracted her. She was so immersed in sorrow that she forgot the bread in the oven. This is, my sister came back. As soon as she came in, she felt something strange and shouted, "Emily, what's burnt?" Emily was wiping her tears sadly at this time and didn't hear her sister crying. Charlotte sniffed around and found the oven on. That's where the smell comes from. She ran to turn off the switch, then picked up the baked brown bread and handed it to Emily. Emily was taken aback and looked up at her sister with red eyes: "What is this? Is it the poor little girl's lunch? She always eats this kind of brown bread ... "Charlotte knew that her sister was staring blankly at books, so she smiled and said," No, this is our poor little girl's lunch! " Emily remembered that bread should have been taken out a long time ago.
This is how Emily uses every minute to read and think, so she reads a lot of good books. Later, she began to write. After unremitting efforts, she finally wrote a work of civilized world-Wuthering Heights.
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Lin is a famous expert in obstetrics and gynecology in China. She has cured countless patients and delivered thousands of children by herself. People respect her very much. However, when she was born, her family didn't like her at all because she was a girl.
George is a clever boy. At school time, both her brother and younger brother go to school happily with their schoolbags on their backs. But George, as a girl, was left at home by her father, so she had to watch her brother and brother go to school. But she wanted to study very much, so she went to beg her mother.
Mother was soft-hearted and finally promised to let Hao have a try. George was very happy. She said to her mother, "I must study hard!" " "
After school, George studies very hard, and many boys can't compare with her. The male classmate said unconvinced, "A little girl, look how capable she is!" ? "
Once, the final exam is coming, and the students are nervously reviewing their lessons. During the break, George and several female students were discussing the problem. At this time, several boys shouted at them: "This exam is very difficult. You girls must pass the exam. It's just fine after it. " George immediately stood up after hearing the "shouts" and said confidently, "What's wrong with the girl? Girls still come first. Let's compete! Boys 100, I will 1 10! "
For this sentence, George studied harder. She reads books three times when others read them once. When others do a problem, she does 10 problem. Others go to bed at 9 o'clock, and she doesn't go to bed until midnight 1 1 or 12. Everything has to work harder than others.
Soon, the exam arrived. George answers questions carefully and calculates carefully in every exam. When the exam was over and the results were announced, Lin really got the first place in the class. Boys have to admire and say, "Lin Zhenxing!"
Later, George's own words were deeply engraved in her heart. She wanted to get "1 10" in every item, which was better than that of boys! With tenacious perseverance and hard work, she made continuous progress and worked hard, and eventually became a first-class female expert in obstetrics and gynecology in China.
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Sue was born in a poor peasant's family and worked in the fields since she was a child: herding cattle, mowing grass, plowing fields, everything. At that time, he thought, there must be no chance to study in this life.
It happened that a rich family in the village hired a tutor to teach his son to read. Sue listens outside the window when she is free, and writes and draws casually. Surprisingly, this childe didn't learn well, but Sue learned a lot of knowledge. Seeing that he wanted to study so much, his uncle took out the money and persuaded Qing Bu's father to send him to a high school hundreds of miles away.
In the first semester of senior one, he came last in the exam. Teacher Chen called him to the office and encouraged him enthusiastically. This greatly touched Su Bubiao, who was determined to make a fortune. If he really makes up his mind, the situation will be different. From the second semester to the university graduation, I won the first prize every semester.
Sue is a model of taking the time to study hard. He has been reading many good books since primary school. After entering junior high school, his first composition was handed in. At first glance, the teacher found that the writing was very similar to the famous Zuo Zhuan in ancient times, and she wondered if Sue had written it herself. In class, the teacher wanted to test him, so he randomly selected an article on Zuo Zhuan and asked him to talk about what he had written. Unexpectedly, he immediately recited the article word for word to the teacher. This surprised both teachers and classmates. It turns out that he can recite Zuo Zhuan! This is the "zero cloth head" that helped him. In his later years, Sue had many things to do, but he still wrote many math books and other articles. He himself said that this was also caught by "Zero Cloth".
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Foreign newspapers once introduced China as follows: "His research scope is wide enough to make him one of the top mathematicians in the world."
"So, which university did he graduate from?" If you ask, the answer will surprise you: he only went to junior high school and never went to college! His success depends on tenacious and diligent self-study.
Hua used to be a naughty boy, but he was very talented in mathematics. Once, the math teacher worked out a famous math problem in ancient China-there was one thing, I don't know how many. Three places and three places, with a surplus of 2; 5 digits, 5 numbers, and the remaining 3; Seven numbers of seven, leaving two. How much is this thing? After the topic came out, the students talked about it, and no one could tell. The teacher was about to speak when Hua raised his hand and said, "I have worked it out." It is 23. " Not only did he get the numbers right, but the algorithm was also very special. This surprised the teacher greatly.
However, the clever boy dropped out of school after finishing middle school because his family was poor. He returned home and did business in his small grocery store, selling cigarettes, needle and thread, etc., and shouldered the burden of bringing home the bacon for his father.
However, Hua still loves mathematics. If you can't go to school, try to learn by yourself. On one occasion, he borrowed some math books from his teacher, and became fascinated when he saw them. From then on, he studied mathematics while doing business and accounting. Sometimes he is so absorbed in reading that he forgets to say hello when people buy things. In the evening, after the shop closed, he wandered around the kingdom of mathematics wholeheartedly. For a whole year, I spent more than ten hours studying the borrowed math books almost every day. Sometimes when I sleep until midnight and think of a solution to a difficult math problem, he will definitely turn over, light a small oil lamp and write down the solution.
At this time, he got typhoid fever. He stayed in bed for half a year and finally recovered his life, but his left foot was disabled for life. In the midst of poverty and disease, Hua still devoted all his energy to mathematical research, and published several important papers in succession, which attracted the attention of Professor Xiong Qinglai of Tsinghua University (which we will talk about in Xiong Qinglai's story).
From 65438 to 0932, with the help of Professor Xiong Qinglai, Hua went to the Mathematics Department of Tsinghua University and became an administrator. He wants to do a few things by himself, but he continues to teach himself courses, and he also teaches himself English and German, so he can write papers in English.
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When he was a teenager, Mao Dun had a wide range of interests. He likes reading "light books" very much. Once when he came home from school, he found a block engraved with The Journey to the West in the bungalow where the sundries were kept. Although the book was carved on the board, some of the handwriting was vague, but as soon as he got it, he couldn't put it down, picked out those chapters that he could read and read it with relish. Mao Dun's parents didn't stop there, but also found a lithograph "After Journey to the West" to show him, took time to tell him the story in The Journey to the West, and chatted with him about the merits and demerits of the characters in the book. His parents also earnestly taught him that reading novels should not only look at those interesting illustrations, but also carefully ponder and understand the arts and sciences, so that the Chinese can progress. After entering high school, Mao Dun became more interested in reading novels. In his spare time, he reads classic literary works, such as Romance of the Three Kingdoms, Water Margin, Scholars and Strange Tales from a Lonely Studio. This laid a good foundation for his later study of classical literature and creation. Perhaps infected by the exquisite illustrations in old novels, Mao Dun liked painting and seal cutting very much when he was young. When he studied painting, he not only copied the mustard seed garden seriously to practice basic skills, but also liked change and innovation. Mao Dun's mother found several different paintings for him to ponder carefully, learn from others and draw new ideas. Mao Dun's carving knife was made of an umbrella rib by himself. Besides reading novels, painting, seal cutting and singing, Mao Dun also observed farming. Mao Dun is particularly excited during the silkworm rearing season every year. After school, he asked questions around his mother. The mother asked her son to pick up the silkworm tools and feed the mulberry leaves, and guided him to carefully observe the changes in the whole growth process of silkworms from "collecting ants" to "clustering". The knowledge of sericulture used in Mao Dun's later novel Spring Silkworm was accumulated during this period. Until his later years, Mao Dun said with deep affection, "What I was most interested in when I was a child, in retrospect, sericulture is just around the corner."
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Li Dazhao, a revolutionary pioneer, developed a good habit of concentrating on his studies when he was a teenager. When he does his homework, he is absorbed and never disturbed by the outside world. He has a flower cat at home, which is naive and lively and very pleasing. He often plays it in his spare time. However, when Li Dazhao did his homework, he asked Xiaohua Mall to shout "Miao Wu" beside him, and even sometimes stretched out his claws to catch him. He still did his homework without looking. After a long time, the kitten got used to it. As long as she sees him bending over to read or do his homework, she stays away and never bothers him.
Another time, while he was concentrating on his homework, two sparrows suddenly flew from the window, chirping and fighting on the windowsill. You peck at me, I peck at you, and sometimes they start rolling on the windowsill. At this point, if Li Dazhao hurriedly reached out to catch it, he could catch it easily. But Li Dazhao did not move, as if he didn't see it at all, and kept writing. How carefully he does his homework!
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On one occasion, Gandhi was walking in the street in rags and was caught by his mother who was out shopping. Mother didn't like Gandhi's indecent appearance and said a few words to him on the spot. I don't know, Gandhi didn't admit his mistake, and even confidently refuted his mother and said, "Mom, are you making a mountain out of a molehill?" Why do you have to be so untidy once in a while? 」
Before Gandhi finished, her mother shook her head and said, "Son, people who don't pay attention to details are bound to be careless, but can careless people achieve great things?" Besides, if you can't even tidy up your own clothes, how can you learn to deal with other people's affairs with your father in the future? Think about it! I don't need you to bow and apologize to me now. I just hope you can turn over a new leaf in the future. 」
On another occasion, the then British government sent inspector Jerus to the school to test students' English level. Jerusha wrote five questions, and Gandhi answered four correctly, except for the word "teapot". He sat in his seat staring at the paper, but he couldn't remember it. At this time, the teacher just walked behind Gandhi and saw that Gandhi still had a question unanswered. He frequently kicked Gandhi's chair foot with the tip of his shoe, suggesting that Gandhi stole a look at his neighbor's answer. But Gandhi not only didn't want to peek at other people's answers, but quickly handed in his papers. When the exam results were announced, the teacher called Gandhi to his side and said, "Silly boy, what does it matter to cheat occasionally?" This time, the whole class got full marks, and only you got 80 points. If you listen to the teacher, you will get a hundred points. Alas! It's a pity that we only need your twenty points, otherwise we can accept the praise. 」
From small to large, from old to dead, Gandhi was so stubborn in choosing good, so he could resist the unreasonable oppression of the British colonial government with the adventurous spirit of revolutionaries. We can also fight for independence and freedom for all the people of India with the compassion of religious families and become the greatest heroes in the eyes of the Indian people.
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Washington's father is a big manor owner, and there are many orchards at home. The orchard is full of fruit trees, but it is also mixed with some miscellaneous trees. One day, his father gave Washington an axe to cut down the miscellaneous trees that affected the growth of fruit trees. He repeatedly told his son not to hurt a fruit tree.
In the orchard, Washington waved an axe and kept cutting down miscellaneous trees. Suddenly, he accidentally cut 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?"
Washington listened to his father's question, thought about it, and said to his father seriously, "I don't lie, dad, but I am too careless." I cut down an apple tree. "
My father is very satisfied with Washington's honesty. He said to Washington, "You should be criticized for cutting down the apple tree, but I forgive you for not lying. This is because I would rather lose a hundred apple trees than listen to your lies! "