As usual, the first two problems were completed without incident in two hours. The third problem, written on a small slip of paper, was a request to make a square 17 sided shape using only a circle gauge and an unscaled straightedge. As the youth did it, he felt more and more overwhelmed. At first, he thought, "Maybe the tutor saw that I had done the questions every day smoothly and made them more difficult for me on purpose this time. However, as time went by, he made no progress on the third problem. The youth racked his brain and couldn't think of any existing math knowledge that would help solve the problem.
The difficulty galvanized the youth: I'm going to make it work! He grabbed a compass and a straightedge and drew on the paper, trying some out-of-the-box thinking to find the answer.
At last, the youth breathed a long sigh of relief when a glimmer of light appeared in the window, and he had finally made the puzzle!
When he met his mentor, the youth felt some guilt and remorse. He said to his mentor, "I did the third problem you assigned me for an entire all-nighter, and I failed you in your cultivation of me ......"
The mentor took the youth's homework and looked at it, and was instantly stunned. He said to the youth in a trembling voice, "Did you really make this yourself?" The youth looked somewhat puzzled at the excited mentor and replied, "Of course, but I'm so stupid that I can't believe it took me a whole all-nighter to make it." The mentor asked the youth to sit down, took out his compass and straightedge, spread out the paper on his desk, and told the youth to make a square 17-sided shape in front of him.
The youth quickly made a square 17-sided shape. The tutor said excitedly to the youth, "Do you know that you have solved a mathematical mystery that is more than 2,000 years old? Archimedes didn't solve it, Newton didn't solve it either, and you actually solved it in one night! You are a genius!" Years later, when this young man recalled this scene, he always said, "If someone had told me that this was a mathematical puzzle with a history of more than 2,000 years, there is no way I could have solved it in one night."
This young man was Gauss, the Prince of Mathematics.
There are some things we can often do better when it's not clear how hard it really is!
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Zeng Guofan was one of the most influential figures in Chinese history, but as a child he was not very talented. One day he was reading at home, repeating an article I don't know how many times, still reading aloud, because, he had not memorized it. At this time his family came to a thief, lurking under his roof, hoping to wait for the reader to sleep after some advantage. But he waited and waited, but he did not see him sleeping, still reading the article over and over again. The thief was furious, jumped out and said, "What kind of book is this level?" Then he recited the article once and left!
The thief was smart, or at least smarter than Mr. Tsang, but he could only be a thief, while Mr. Tsang became the man Chairman Mao Zedong admired: "The most dabenfuyuan in modern times."
"Diligence can make up for clumsiness is a good lesson, one point hard work one point talent." The thief's memory is really good, heard a few times the article can be memorized, and very brave, see other people do not sleep actually can jump out of the "anger", after teaching Mr. Tsang, but also to memorize, and go away. But unfortunately, he is not known, Mr. Zeng later enabled a large number of talents, according to this thief and Mr. Zeng have a one-sided acquaintance, can go to show one or two, but unfortunately, his talent is not coupled with diligence, become unknown.
Warm tips: great success and hard work is directly proportional to the labor, there is a labor there is a gain, day by day, from less to more, the miracle can be created.
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Zhao Xiu, a famous contemporary taxonomist of dragonflies and parasitic wasps in China.
Zhao Shuixiang was a top naughty boy when he was a child. He often went out to play in the field with the children in his village, and was particularly fond of all kinds of bugs.
On one occasion, Zhao and another child went to play outside the village and saw a beehive hanging from a tree. He said to whichever child he was talking to, "Everyone says you can't poke a beehive, and when you do, the bees come out and sting you. How about we think of some way to poke it twice?" The kid got energized and said, "Okay! You tell me what to do!" Zhao Shuixiang tilted his head and said, "Let's do it this way! We'll go home and get a mosquito net. But don't let the adults know!" Which child then followed him. They both took a mosquito net and went back to that tree.
Zhao Fix climbed up the art, hung a rope from a branch, and hung the mosquito net on it. Then he and the boy retreated into the mosquito net and desperately stabbed the beehive with a long bamboo pole. The bees were enraged, a swarm of them flew along the bamboo pole, wanting to sting, but the mosquito netting steadily kept the bees out, and the boy jumped and screamed, "Good wow! Fun! The child jumped and screamed, "Wow! He stabbed enough, threw the bamboo pole, want to wait for the bee to fly away before taking the mosquito net, then sat in the mosquito net and watched the bee flying around. At this time, the bees realized that the bamboo poles to poke their own nests are gone, so they flew back in groups to rebuild the honeycomb. Zhao repaired his eyes straight, and he thought dumbfoundedly, "How can they repair a house just like people?" From then on, he became very interested in insects and secretly resolved, "When I grow up, I must study these little animals."
After going to school, he liked insects even more, always lying on the ground alone to watch the ants, or catch a dragonfly, butterfly, or whatever small insects, carefully observe and study.
One day, after school, Zhao Fix went home with his classmates. When they passed by the toilet, Zhao asked his classmates to wait for him, saying that he had to go to the toilet. But a drill in more than half an hour has not seen him out. His classmates got anxious and covered their noses to go to the toilet to see what had happened to him. When they walked in, they were both angry and amused. It turned out that Mr. Zhao had found a kind of spider that could jump and eat flies, and he was so absorbed in watching it that he forgot that his classmates were waiting for him outside.
That's how much Zhao Shuixiang liked dealing with insects when he was young, and when he grew up, he really got into the business of studying them.
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The teenager Mao Dun has a wide range of interests. He loved to read "leisure books". Once home from school, he found an engraved copy of Journey to the West in the cottage where he kept his belongings. Although the book was carved and printed on wooden boards, and some of the handwriting was already blurred into a piece, he loved the book as soon as he got it, and picked those chapters that could be read and read them with great interest. Mao Dun's parents did not stop him from reading the book, but even found a stone-printed copy of "Journey to the West" for him to read, and took time to tell him the 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 that he should not only read the novels with interesting illustrations, but also carefully ponder over them, so that he could read through the literature and reasoning, and make progress in the language. After reading high school, Mao Dun's interest in reading novels became stronger. The Romance of the Three Kingdoms", "Water Margin", "Confucianism", "Liaozhai Zhiyi" and other classical literature masterpieces, he drew after-school time, extensive hunting. This laid a good foundation for his later study of classical literature and creative writing. Perhaps infected by the beautiful illustrations in old novels, Mao Dun loved painting and seal cutting in his youth. He learned to draw not only by copying the Mustard Seed Garden Drawing Book and practicing the basic skills, but also by enjoying variations and innovations. Mao Dun's mother brought him several different sketchbooks, so that he could learn from them and draw new ideas from them. The knife he used to learn seal carving was made from a piece of umbrella bone. In addition to reading novels, painting, seal-carving and singing, Mao Dun also observed farming. Every year, Mao Dun was especially excited during the silkworm raising season, and after school, he would gather around his mother and ask her questions. His mother told her son to take the silkworms' tools and feed them mulberry leaves, and guided him to carefully observe the changes in the silkworms' growth process from "collecting ants" to "putting on clusters". Mao Dun's knowledge of silkworm breeding, which he later applied to his novel Spring Silkworms, was accumulated during this period. Until his later years, Mao Dun said fondly, "The thing that interested me most in my childhood, and which I recall now, is raising silkworms."
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Emily Bront? (1818-1848) was a famous British writer. Emily Bront? was born in a poor teacher's family in England. When she was very young, her mother's family died. The young Emily and her sister, Charlotte, took up the burden of life together. Every day, her sister had to go to a rich family to work as a governess, and she did housework at home. Emily loved literature. She had read her father's books over and over again several times, and she wanted to have some new books! But the family was poor and there was no money for her to buy books. She had to borrow books from people everywhere. In order to see more books, she grasped all the time: when cooking, one hand stir-fried vegetables, one hand served books; to the market to buy things, but also to bring the beloved books, there are several times she almost hit the carriage.
On one occasion, when Emily had finished the laundry and was making lunch, she put the bread in the oven to bake and read a book. It was a newly borrowed novel, and the tragic fate of a little girl in the book captivated her. She was so completely absorbed in her sorrow that she forgot all about the bread in the oven. It was that her sister came back, and as soon as she entered the door, sensing some strange odor, she called out, "Emily, what's baking?" Emily was at this time sadly wiping her tears, and did not hear her sister's cry. Charlotte sniffed around and found that the oven was on, and the smell was coming from there. She rushed over and turned off the electric switch, then picked up the toasted, blackened bread and handed it to Emily's eyes. Startled, Emily looked up at her sister with red eyes, "What's this? Is it that poor little girl's lunch? She has always eaten this kind of black bread ......" Charlotte knew that her sister had been reading the book again, so she laughed and said, "No, this is the lunch of several of our poor little girls!" Emily then remembered that the bread was long overdue to be taken out.
That's how Emily used every second, a mind to read and ponder, and that's how she read many good books. Later, she began to write. After unremitting efforts, she finally wrote a civilized world works - "Wuthering Heights".
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Lin Qiaozhi is a famous obstetrician and gynecologist in China, who has cured countless patients and delivered thousands of children by her own hands. People respect her very much. However, when she was born, her family did not like her at all because she was a girl.
Qiaozhi was a smart child, and when it was time to study, her older brother and younger brother went to school with their backpacks on their backs, while Qiaozhi was left at home by her father because she was a girl, and she had to watch her older brother and younger brother go to school. But she wanted to study so much that she went to beg her mother.
Mom was so softhearted that she finally agreed to let Qiaozhi try. Qiaozhi was overjoyed and said to her mom, "I will study hard!"
After school, Qiaozhi studied so hard that many of her male classmates could not compete with her. The male classmates said unconvincingly, "A little girl, look how capable she is!"
On one occasion, the final exams were coming up, and the students were studying hard, and during recess, Qiao Zhi and a few of her female classmates were discussing problems. At this time, a few boys toward them loudly shouted: "This test can be difficult, you girls quasi to test 'paste', can pass is good." Qiaozhi heard "hoo" stood up, said righteously: "What's wrong with girls? Girls still get first place. Let's compare! If the boys get 100 points, I'll get 110 points!"
In order to this statement, Qiaozhi doubled hard study. Others read the book once, she read the book three times, others do a question, she did 10 questions, others go to bed at 9 o'clock, she has to go to bed late at night at 11 o'clock or 12 o'clock, and everything has to be more than others to spend effort.
Soon, the exams came. The first time I saw this, I was able to get a good look at it, and I was able to get a good look at it, and I was able to get a good look at it. After the exam, the results were announced, Lin Qiaozhi really got the first place in the class. The boys had to admire and say, "Lin Qiaozhi is really good!"
After that, Qiaozhi herself said the words y engraved in her heart, everything to get "110 points", everything to be better than the boys! She relied on tenacious perseverance, the spirit of hard work, and continue to forge ahead, hard work, and finally became China's first-rate female experts in obstetrics and gynecology.
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Su Buqing was born in a poor farmer's home, and has been laboring in the field since he was a child: herding cows, mowing the grass, plowing the fields, and doing everything. At that time, he thought that he would never have a chance to study in his life.
As it happened, a rich man in the village hired a tutor to teach his son to read. When Su Buqing was free, he would listen outside the window and write and draw. The first time I saw him, I was so happy to see him, and I was so happy to see him, and I was so happy to see him. His uncle saw that he wanted to learn so much, so he took out the money and persuaded Buqing's father to send him to a high school a hundred miles away to study.
In his first semester at the high school, he came in dead last, and Mr. Chen called him into his office and enthusiastically encouraged him. This touched Su Buzheng greatly and he was determined to make a determined effort. The situation was different after he made up his mind. From the second semester until he graduated from the university, he came first in every semester.
Su Buzheng is a model of grasping the time and studying hard. He grabbed so many good books since elementary school. After entering junior high school, his first essay was handed in, the teacher took a look, the writing method, very much like the ancient famous "Zuo Zhuan" writing method, they doubt that this is not Su Buqing's own writing. In class, the teacher wanted to test him, and casually pointed to an article in Zuo Zhuan, asking him to say what was written. Unexpectedly, he immediately recited the article word for word to the teacher. This surprised the teacher and his classmates. It turned out that he was able to recite it by heart from his reading of "The Chronicle of Zuo"! This is "zero cloth head" helped him. Su Buqing later years, more things, but he still wrote many mathematical works and other articles. He said himself, this is also to catch "zero cloth head" to catch out ah.
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Foreign newspapers once described Hua Luogeng in this way: "The scope of his research work is wide enough to make him one of the world's top mathematicians."
"So, what university did he graduate from?" If you ask that, then the answer will surprise you: he only went to junior high school and never went to college at all! His success relies on tenacious, hard-working self-learning.
Hua Luogeng was also a naughty, playful child, but he was very talented in math. Once, the math teacher out of an ancient Chinese famous arithmetic problem - there is a thing, I do not know how much. 3 3 counting, the remaining 2; 5 5 counting, the remaining 3; 7 7 counting, the remaining 2. ask such a thing is how much? --When the question came out, the students discussed it, and no one could tell how much it was. 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.
But this clever boy, after finishing middle school, dropped out of school from then on because his family was poor. He returned home and started a business in the family grocery store, selling cigarettes, needles and threads, and taking up the burden of supporting the family for his father.
However, Hua Luogeng still loves math. When he couldn't go to school, he tried to learn by himself. Once, he borrowed a few math books from a teacher, and once he read them, he became obsessed. From then on, he did business, accounting, while learning math. Sometimes he was so absorbed in reading that he forgot to greet people when they bought things. In the evening, after the store closed, he was even more dedicated to roaming in the kingdom of math. Throughout the year, almost every day to spend more than ten hours to study those borrowed math books. Sometimes when he sleeps in the middle of the night, he remembers the solution to a math problem, he will turn over and get up, light a small oil lamp and write down the solution.
At this time, he got typhoid fever, lying in bed for half a year, finally recovered a life, but his left foot was left with a lifelong disability. In poverty and illness, Hua Luogeng still put all his efforts in mathematical research, published several important papers, attracting the attention of Professor Xiong Qinglai of Tsinghua University (we will talk about this in the story of Xiong Qinglai).
In 1932, with the help of Prof. Xiong Qinglai, Hua Luogeng went to the math department of Tsinghua University to work as an administrator. He had to do the work of several people by himself, and still continued to study the courses on his own, and also studied English and German, and was able to write papers in English.
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As a teenager, Mao Dun had a wide range of interests. He loved to read "leisure books". Once home from school, he found an engraved copy of Journey to the West in the cottage where he kept his belongings. Although the book was carved and printed on wooden boards, and some of the handwriting was already blurred into a piece, he loved the book as soon as he got it, and picked those chapters that could be read and read them with great interest. Mao Dun's parents did not stop him from reading the book, but even found a stone-printed copy of "Journey to the West" for him to read, and took time to tell him the 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 that he should not only read the novels with interesting illustrations, but also carefully ponder over them, so that he could understand the text and make progress in the language. After reading high school, Mao Dun's interest in reading novels became stronger. The Romance of the Three Kingdoms", "Water Margin", "Confucianism", "Liaozhai Zhiyi" and other classical literature masterpieces, he drew after-school time, extensive hunting. This laid a good foundation for his later study of classical literature and creative writing. Perhaps infected by the beautiful illustrations in old novels, Mao Dun loved painting and seal cutting in his youth. He learned to draw not only by copying the Mustard Seed Garden Drawing Book and practicing the basic skills, but also by changing and innovating. Mao Dun's mother brought him several different sketchbooks, so that he could learn from them and draw new ideas from them. The knife he used to learn seal carving was made from a piece of umbrella bone. In addition to reading novels, painting, seal-carving and singing, Mao Dun also observed farming. Every year, Mao Dun was especially excited during the silkworm raising season, and after school, he would gather around his mother and ask her questions. His mother told her son to take the silkworms' tools and feed them mulberry leaves, and guided him to carefully observe the changes in the silkworms' growth process from "collecting ants" to "putting on clusters". Mao Dun's knowledge of silkworm breeding, which he later applied to his novel Spring Silkworms, was accumulated during this period. Until his later years, Mao Dun said fondly, "The thing that interested me most in my childhood, and which I recall now, is raising silkworms."
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Revolutionary pioneer Li Dazhao, during his teenage school years, he developed the good habit of concentrating on his studies. When he did his homework, he was fully concentrated and was never disturbed by the outside world. He had a cat at home, innocent and lively, very popular, he often teased it to play in his free time. However, when Li Dazhao was doing his homework, he did not even look at the little kitten when it was around him, "Miao-Wu", and even stretched out its little claws to scratch him, but he still did his homework. Later, as time went by, the kitten also got used to it, and as long as it saw him bending down to read or do his homework, it would hide far away from him, never disturbing him.
On another occasion, when he was concentrating on his homework, two sparrows suddenly flew out of the window, "chirping - chirping", fighting with each other on the window sill, pecking at me, pecking at you, and playing on the window sill from time to time. I'll peck you and you peck me and you peck me and you peck me. At this time, if Li Dazhao hastily reach out to catch, can easily catch them. But Li Dazhao didn't move, as if he didn't see them at all, always burying his head in writing. He did his homework, how serious ah!
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On one occasion, Gandhi was walking down the street in poor attire when his mother, who was out shopping, saw him. The mother was not happy with Gandhi's immodest appearance and said something to him on the spot. Gandhi didn't even admit he was wrong, but he even confronted his mother and said, "Mom, you're making too big a deal out of this, aren't you? It doesn't hurt to be unkempt once in a while, so why are you so ......?"
Mother didn't wait for Gandhi to finish his sentence, but shook her head to stop it, saying, "My son, if you don't pay attention to details, you are bound to be careless, and can a careless person achieve great things? Besides, if you cannot even organize your own clothes properly, how can you follow your father's example in dealing with the great affairs of the people in the future? Think about it! I don't need you to bow down and admit your faults to me now, but I only hope that you can change your ways in the future."
On another occasion, the British government sent Inspector Gerrish to a school to test the English language skills of the students. Gandhi got four of the five questions correct, except for the word 'teapot', which he could not write. He sat in his seat and stared at the paper, but he couldn't think of anything. At that moment, the teacher came up behind Gandhi and, seeing that Gandhi had not answered a question, kicked the foot of Gandhi's chair with the toe of his shoe, imploring him to peek at the answers of the students in the next seat. However, Gandhi was not only unwilling to peek at the answers of others, but also quickly handed in his examination paper. When the test results were released, the teacher called Gandhi in front of him and said, "Silly boy, what's the harm in cheating once in a while? The whole class got perfect scores this time, and you were the only one who got 80 points; if you had listened to the teacher, you would have gotten a hundred points. If you had listened to the teacher, you could have gotten a hundred! It's a pity that you're the only one who missed out on that twenty points, otherwise we could have been praised."
From childhood to adulthood, from old age to death, Gandhi was so stubborn in choosing the good that he was able to resist the unreasonable oppression of the British colonial government with the adventurous spirit of a revolutionary; and with the compassionate heart of a religious man, he fought for the independence and freedom of all the people of India, and became the greatest of all in the minds of the people of India, the Mahatma! .
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Washington's father was the owner of a large estate, the family has many orchards, orchards full of fruit trees, but also mixed with some miscellaneous trees. One day, his father gave Washington an axe to cut down the stray trees that were affecting the growth of the fruit trees, and he repeatedly instructed his son not to harm a single fruit tree.
In the orchard, Washington swung the axe and kept cutting down the overgrown trees. Suddenly, without paying attention, he cut down an apple tree, and he was anxious and afraid that his father would find out.
In the evening, his father came to the orchard, and although he already knew about it, he pretended to be unaware of it, and deliberately asked, "You didn't cut down the fruit tree, did you?"
Hearing his father's question, Washington thought for a moment and said to his father earnestly, "I don't lie, father, it's only my carelessness that is to blame; I cut down an apple tree."
Feeling very pleased with Washington's honesty, his father said to Washington, "You deserve to be criticized for chopping down an apple tree, but you didn't lie, so I forgive you. This is because I would rather lose a hundred apple trees than hear you tell a lie!"