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 regular 17 polygon with only a compass and an uncalibrated ruler. Young people feel more and more tired as they do it. At first, he thought, maybe my tutor saw that my daily problems were going well, and this time he made it more difficult for me. However, as time went by, there was no progress on the third question. Young people have racked their brains, but they can't think of any help in solving this problem.
Difficulties aroused the young people's fighting spirit: I must make it! He picked up the compass and ruler, drew on the paper, and tried to find the answer with some unconventional ideas.
Finally, when the window showed a glimmer of light, the young man breathed a sigh of relief, and he finally made this difficult problem!
When meeting the tutor, the young people felt a little guilty and blamed themselves. He said to his tutor, "I worked on the third question you assigned me all night, and I failed to live up to your cultivation ..."
When the tutor took over the young man's homework, he was immediately shocked. He said to the young man in a trembling voice, "Did you really make 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 a whole 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 regular 17 polygon in front of him.
The youth quickly made a regular 17 polygon. The tutor excitedly said 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 in one night! 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 mathematical problem with a history of more than 2,000 years, I could not 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 the history of China, but his talent as a child was not high. One day when I was studying at home, I repeated an article many times and was still reading it aloud, because he had not memorized it yet. At this time, a thief came to his house, lurking 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 kind of books do you read at this level?" Then recite the article and walk away!
The thief is very clever, at least smarter than Mr. Zeng, but he can only become a thief, and Mr. Zeng has become a person admired by President Mao Zedong: "The most wealthy man in modern times."
"Diligence is a good training, and one point of hard work is a point of talent." The thief has a good memory. He can recite articles after listening to them several times, and he is very brave. He can jump out of "great anger" when others don't sleep. After teaching Mr. Zeng a lesson, he has to endorse it and walk away. But unfortunately, his name is unknown, and Mr. Zeng later used a large number of talents. It is said that the thief and Mr. Zeng had a brief acquaintance and could put one or two things to good use. Unfortunately, his talent was not coupled with diligence, and he became ignorant.
Tips: Great success is directly proportional to hard work. If you work hard, 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 that you can't poke a beehive. When you poke it, the bee will come out and sting people. What can we do to poke it twice? " The child was excited and said, "Good! What do you say! " Zhao Xiufu cocked his head and thought for a moment and said, "Let's do this! Let's go home and get a mosquito net. But don't let adults know! " Which child followed 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 the mosquito net. Then he and the child huddled in a mosquito net and stabbed the honeycomb with a long bamboo pole. The bees were angered and swarms flew along the bamboo pole, trying to sting people, but the mosquito net kept the bees out firmly, and the child jumped and cried, "Good! Fun! Zhao Xiufu also laughed happily. He stabbed enough, threw the bamboo pole away, wanted to wait for the bees to fly away before taking the mosquito net, and sat in the mosquito net and watched the bees fly around. At this time, the bees found that the bamboo poles that had poked their nests were gone, and they flew back in droves to rebuild the honeycomb. Zhao Xiufu's eyes looked straight, and 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."
After school, he likes insects more. He always looks at ants on the ground alone, or catches a dragonfly or butterfly, and observes and studies it carefully.
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 in for more than half an hour. The classmate was in a hurry, covering his nose and going to the toilet to see what happened to him. When I walked in, I was angry and funny. It turned out that Zhao Xiufu found a jumping spider catching flies, and he was so engrossed that he forgot that his classmates were waiting for him outside.
When Zhao Xiufu was young, he liked dealing with insects in this way. When he grew up, he really took up the work of studying insects.
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As 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 an engraved The Journey to the West in the bungalow where the sundries were kept. Although the book was carved on a wooden board, some of the handwriting was blurred, but as soon as he got it, he couldn't put it down, picking out those chapters that could be read and reading them with relish. Mao Dun's parents didn't stop this, 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 talked with him about the merits and demerits of the characters in the book. His parents also earnestly taught him that when reading novels, we should not only read those interesting illustrations, but also carefully ponder and understand the arts and sciences so as to make progress in Chinese. After Mao Dun was in high school, he became more interested in reading novels. He spent his spare time in reading classical literary masterpieces 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 in his youth. When he studied painting, he not only copied mustard seed garden seriously and practiced basic skills, but also liked change and innovation. Mao Dun's mother found several different paintings and asked him to ponder them carefully, learn from others and draw new ideas. Mao Dun's engraving knife for seal cutting was made by himself with a piece of umbrella bone. Besides reading novels, painting, seal cutting and singing, Mao Dun also observed farming. Every year during the sericulture season, Mao Dun is particularly excited. After school, he asks questions around his mother. The mother asked her son to take silkworm tools and feed 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, and now I recall that sericulture is in front of me."
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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, together, shouldered the burden of life. Every day, my sister goes to a rich family to be a governess, and she does housework at home. Emily likes literature very much. Dad's book, she has read it several times over and over again, and she wants to have some new books! But the family is poor and there is no money for her to buy books. She had to borrow it from others everywhere. In order to see more books, she seized all the time: when cooking, she cooked with one hand and carried books with the other; When she went to the market to buy things, she couldn't bring her beloved books. On several occasions, she almost ran into a carriage.
Once, Emily finished washing clothes and began to cook lunch. She put the bread in the oven to bake, while reading a book. 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, and when 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's cry. Charlotte sniffed everywhere and found that the oven was on. That's where the smell came from. She quickly ran to turn off the switch, then picked up the baked black bread and handed it to Emily. Emily was taken aback, looked up and looked 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 stunned by reading, so she smiled and said," No, this is our poor little girls' lunch! " Emily remembered that the bread should have been taken out long ago.
This is how Emily used every minute and second to read and ponder, and so she read many 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 Qiaozhi 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 just born, her family didn't like her at all because she was a girl.
Qiaozhi is a clever child. When it is time to study, both her brother and younger brother go to school happily with their schoolbags on their backs. But Qiaozhi, as a girl, is left at home by her father, so she has to watch her brother and younger 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. Qiaozhi was so happy that she said to her mother, "I must study hard!" "
After school, Qiaozhi studied very hard, and many male students couldn't compare with her. The male classmate said unconvinced, "a little girl, look at how capable she is!" ？”
Once, the final exam is coming, and the students are nervously reviewing their lessons. During the break, Qiaozhi and several female students are discussing problems. At this time, several boys shouted at them: "This exam is very difficult. You girls must pass the exam. It is good to pass." Qiaozhi stood up at once after hearing the "shout" and said confidently, "What's wrong with girls? Girls still take the first place. Let's have a competition! Boys get 100, and I get 1 10! "
For this sentence, Qiaozhi studied harder. When others read a book once, she reads it three times. When others do a problem, she does 10. When others go to bed at 9 o'clock, she stays up late at night 1 1 o'clock or 12 o'clock. Everything takes more effort than others.
Soon, the exam arrived. Qiaozhi answers questions carefully in every exam and calculates them carefully. When the exam was over and the results were announced, Lin Qiaozhi really got the first place in the class. Boys have to admire and say, "Lin Qiaozhi is really good!"
In the future, Qiaozhi's own words are deeply engraved in her heart. She should get "1 10" in everything, and everything is better than boys! With tenacious perseverance and hard work, she kept forging ahead and worked hard, and finally became a first-class female expert in obstetrics and gynecology in China.
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Su Buqing was born in a poor peasant's family, and worked in the fields since childhood: herding cattle, mowing grass, plowing fields, and doing everything. At that time, he thought, there must be no chance to study in this life.
As it happens, a rich family in the village hired a tutor to teach his son to read. When Su Buqing is free, he listens outside the window and writes and draws casually. Surprisingly, the childe didn't learn well, but Su Buqing learned a lot of knowledge. Seeing that he wanted to study so much, his uncle took out money and persuaded Buqing's father to send him to a high school hundreds of miles away.
In the first semester of high school, he got the last place in the exam. Teacher Chen called him to the office and encouraged him warmly. This greatly moved Su Bubiao, who was determined to make a fortune. If he really made up his mind, the situation would be different. From the second semester until he graduated from college, he took the first place every semester.
Su Buqing is a model of grasping time and studying hard. He has been reading a lot of good books since primary school. After entering junior high school, his first composition was handed in. When the teacher saw it, the writing method was very similar to that of the famous ancient Zuo Zhuan, and he wondered if it was written by Su Buqing himself. In class, the teacher wants to test him, and casually points out an article in Zuo Zhuan, asking him to talk about what he wrote. Unexpectedly, he immediately recited the article to the teacher word for word. This surprised teachers and classmates. It turns out that he can recite Zuo Zhuan by heart! This is the "zero cloth head" that helped him. In his later years, Su Buqing had many things to do, but he still wrote many mathematical works and other articles. He himself said that this was also caught by "zero cloth".
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Foreign newspapers once introduced Hua Luogeng as follows: "His research works are 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 attended junior high school and never went to college at all! His success depends on tenacious and diligent self-study.
Hua Luogeng used to be a naughty and playful child, but he was very talented in mathematics. Once, the math teacher gave a famous math problem in ancient China-there is one thing, I don't know how much. Three places with three numbers, with a surplus of 2; 5 places with 5 numbers, with a surplus of 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 open his mouth when Hua Luogeng raised his hand and said, "I figured it out. It's 23." Not only did he say the number correctly, but the algorithm was also very special. This surprised the teacher greatly.
However, this clever boy dropped out of school after finishing middle school because his family was poor. He returned home and did business in his own small grocery store, selling cigarettes, needle and thread and so on, which shouldered the burden of supporting the whole family for his father.
However, Hua Luogeng still loves mathematics. If you can't go to school, find a way to learn it yourself. Once, he borrowed some math books from a teacher, and when he saw them, he became fascinated. 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 when people buy things. In the evening, after the shop was closed, he wandered wholeheartedly in the mathematics kingdom. Throughout the year, I spend 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 mathematical problem, he will definitely turn over and get up, light a small oil lamp and write down the solution.
At this moment, he got typhoid fever. He lay in bed for the first half of the year and finally recovered his life, but his left foot was disabled for life. In 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).
1932 With the help of Professor Xiong Qinglai, Hua Luogeng went to the Mathematics Department of Tsinghua University and became an administrator. He has to do several things by himself, but he still continues to take self-study courses, and he has also taught himself English and German, so he can write papers in English.
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As 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 an engraved The Journey to the West in the bungalow where the sundries were kept. Although the book was carved on a wooden board, some of the handwriting was blurred, but as soon as he got it, he couldn't put it down, picking out those chapters that could be read and reading them with relish. Mao Dun's parents didn't stop this, 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 talked with him about the merits and demerits of the characters in the book. His parents also earnestly taught him that when reading novels, we should not only read those interesting illustrations, but also carefully ponder and understand the arts and sciences so as to make progress in Chinese. After Mao Dun was in high school, he became more interested in reading novels. He spent his spare time in reading classical literary masterpieces 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 in his youth. When he studied painting, he not only copied mustard seed garden seriously and practiced basic skills, but also liked change and innovation. Mao Dun's mother found several different paintings and asked him to ponder them carefully, learn from others and draw new ideas. Mao Dun's engraving knife for seal cutting was made by himself with a piece of umbrella bone. Besides reading novels, painting, seal cutting and singing, Mao Dun also observed farming. Every year during the sericulture season, Mao Dun is particularly excited. After school, he asks questions around his mother. The mother asked her son to take silkworm tools and feed 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, and now I recall that sericulture is in front of me."
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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 in it and is never disturbed by the outside world. He has a flower cat at home, which is naive and lively, and is very lovable. He often plays with it in his spare time. However, when Li Dazhao did his homework, he let Xiaohua Mall shout "Miao-Wu" at his side, and even sometimes stretched out his paws to catch him, but he still did his homework without even looking. Later, after a long time, the kitten got used to it. As long as she saw him leaning down to read or do his homework, she hid far away and never bothered him.
On another occasion, when he was absorbed in his homework, two sparrows suddenly flew from the window, chirping-chirping, fighting with each other on the windowsill. You pecked at me, I pecked at you, and sometimes they started to roll on the windowsill. At this point, if Li Dazhao hurriedly reaches out to catch them, he can easily catch them. But Li Dazhao didn't move, as if he didn't see it at all, and he always buried himself in writing. How carefully he does his homework!
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On one occasion, Gandhi was walking in the street in untidy clothes, and was just caught by his mother who was out shopping. Mother didn't like Gandhi's indecent appearance, so she said a few words to him on the spot. I don't know, Gandhi didn't admit his mistake, and even confidently contradicted his mother and said, "Mom, you are making a mountain out of a molehill, aren't you?" Why should you be so unkempt once in a while and not get in the way? 」
Before Gandhi could finish, 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 don't even put your own clothes in order properly, how can you follow your father's example in dealing with people's affairs in the future? Think about it! I don't need you to bow to me now and apologize. I just hope you can mend your ways 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, four of which Gandhi got right, except the word "teapot". He sat in his seat and stared at the examination paper, but he couldn't remember it. At this time, the teacher just walked behind Gandhi, and when he saw that Gandhi still had one question unanswered, he frequently kicked Gandhi's chair foot with the tip of his shoe, suggesting that Gandhi stole a glance at his neighbor's answer. But Gandhi not only didn't want to peek at other people's answers, but quickly handed in the examination paper. When the exam results were published, the teacher called Gandhi to him and said, "Silly boy, what does it matter to cheat once in a while?" The whole class got full marks this time, 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 strive for independence and freedom for all the people of India with the compassion of the religious family, and become the greatest hero in the eyes of the Indian people.
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Washington's father is a big manor owner, and there are many orchards in his home. The orchards are full of fruit trees, but they are 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, and 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?"
After listening to his father's question, Washington thought about it and said to his father seriously, "I don't lie, Dad, but I was careless. I cut down an apple tree."
My father was very pleased 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! "