1. Mathematical motto: 1. Mathematics is an infinite science.-Weil)2. Problems are the heart of mathematics.-P.R.Halmos )3. As long as a branch of science can ask a lot of questions, it is full of vitality. The lack of problems indicates the termination or decline of independent development. —— Hilbert )4. Some beautiful theorems in mathematics have such characteristics: they are easy to be induced from facts, but the proof is extremely deep. —— Gauss)5. Mathematics is the queen of science, while number theory is the queen of mathematics —— Gauss) 6. Mathematical metaphor: the ancient Greek philosopher Zhi Nuo claimed. He has four mathematical paradoxes that have been passed down to this day. He once said a famous saying: "A big circle has a little more knowledge than a small circle, but because the circumference of a big circle is longer than that of a small circle, its contact surface with the outside world is bigger than that of a small circle, so it feels more lack of knowledge and needs to study hard." 7. Learn mathematics as a language and learn the usage of every term. Be familiar with the meaning of each symbol. 8. Don't let go of any seemingly simple example-they are often not that simple, or they can lead to many knowledge points. 9. Just because you can use mathematical formulas doesn't mean that you can learn mathematics. 1. If you are not a genius, you don't want to play games if you want to learn mathematics-you think you have done it, but your mathematics level has not improved with your ability to pass customs-in fact, you can always remember it. 2. Math story: When Gauss was in elementary school, once after the teacher taught addition, because the teacher wanted to have a rest, he came up with a topic for the students to calculate. The topic was: 1+2+3+ .+97+98+99+1 = The teacher was thinking, now the children must count to class! I was about to go out as an excuse, but I was stopped by Gauss! It turns out that Gauss has worked it out. Do you know how he did it, little friend? Gauss told us how he worked it out: add 1 to 1 and 1 to 1 in two rows, that is, 1+2+3+4+.+96+97+98+99+1 1+99+98+97+96+.+4+3+2+1. But the formula is repeated twice, so dividing 11 by 2 to get the answer means that the learning process of Gauss Elementary School has already surpassed other students since then, which has laid the foundation for his later mathematics and made him a mathematical genius! 3. Math problems: (1) Add appropriate operation symbols between the numbers in the following questions. 1 () 2 () 3 () 4 = 11 () 2 () 3 () 4 () 5 = 11 () 3 () 4 () 5 () 6 = 11 () 2. Correct a wrong symbol. 1+2+3+4+5+6+7+8+9 = 44 1+2+3+4+5+6+7+8+9 = 5 1+2+3+4+5+6+7+8+9 = 86 1+.
Contents of the sixth-grade mathematics handwritten newspaper:
The first famous saying about mathematics
Russell said: "Mathematics is a symbol plus logic"
Pythagoras said: "Numbers dominate the universe"
halmos said: "Mathematics is an ingenious art"
Misra said: "Mathematics is the highest achievement in human thinking" < Bourbaki school (French mathematical research group) thinks: "Mathematics is a theory to study abstract structures"
Hegel said: "Mathematics is a symbol of God's description of nature"
Wilde (president of the American Mathematical Society) said: "Mathematics is a culture that will constantly evolve"
Plato said: "Mathematics is the highest form of all knowledge"
Court said: "Mathematics is the highest form of all knowledge". The significance of learning
Mathematics, as an expression of human thinking, reflects people's aggressive will, meticulous logical reasoning and pursuit of perfection. Its basic elements are: logic and intuition, analysis and reasoning, individuality and individuality. Although different traditional schools can emphasize different aspects, it is the interaction of these opposing forces and their comprehensive efforts that constitute the vitality, availability and lofty value of mathematical science.
Write a short story about mathematics
A short story about famous mathematicians-Cantor
Many great mathematicians are afraid of falling into it and take a evasive attitude because they often come up with some logical but absurd results (called "paradoxes") when studying infinity. During 1874-1876, Cantor, a young German mathematician who was less than 3 years old, declared war on the mysterious infinity. With hard sweat, he successfully proved that points on a straight line can correspond to points on a plane one by one, and also to points in space one by one. In this way, it seems that there are "as many" points in the 1 cm long line segment as those in the Pacific Ocean and the whole earth. In the following years, Cantor published a series of articles on this kind of "infinite * * *" problem, and drew many amazing conclusions through strict proof. Cantor's creative work is in sharp conflict with the traditional mathematical concept, which has been opposed, attacked and even abused by some people. Some people say that Cantor's theory of * * * is a kind of "disease", Cantor's concept is "fog in fog", and even Cantor is a "madman". Great mental pressure from the mathematical authorities finally destroyed Cantor, making him exhausted, suffering from schizophrenia and being sent to a mental hospital.
True gold is not afraid of fire, and Cantor's thought finally shines brightly. At the first international conference of mathematicians held in 1897, his achievements were recognized. Russell, a great philosopher and mathematician, praised Cantor's work as "probably the greatest work that can be boasted in this era." But at this time, Cantor was still in a trance, unable to get comfort and joy from people's reverence. On January 6th, 1918, Cantor died in a mental hospital.
Finally, you can write a joke about math.
Xiaoming's mother asked him how he did in the math exam at primary school when he came back. Xiaoming said, "I can basically do it, but I can't figure out a problem that is multiplied by 3, so I wrote an 18 regardless of the bell."
It's best to cut short the math problem-solving methods in the textbooks of the first and second volumes of grade six. Write in your hand
1. With the help of charts. 2. The holistic thinking method. 1. It is more troublesome to solve some problems by conventional methods, but if the problems are regarded as a whole, the problem-solving effect is particularly good. 2. Breaking the whole into parts: For more complicated problems, it can be regarded as a combination of many relatively simple problems. When these simple problems are solved, the original problem will be solved. This method of solving problems becomes a thinking method of breaking up the whole into parts. Third, the so-called thinking method of retreating into progress refers to a thinking method of returning to the simplest situation when solving complex problems, so as to get inspiration and then find the correct way to solve the problems. Fourth, the reverse thinking method can quickly move to another thinking method when there are obstacles in one thinking way, so as to solve the problems. Fifth, the thinking process of ingenious enumeration is called enumeration thinking method. Then choose the answer that completely meets the requirements of the topic. 6. Setting the special value method to specialize in mathematics can mean substituting specific numbers, considering "extreme" situations, and making specific graphs. In solving problems, selectively take some special values and substitute them into the required problems to study the situation of the solutions, so that the problems can be solved quickly ... Is that enough? I'll give you a reference website. I'm sincere, my friend. I have worked hard without credit. It's been such a long time. Help me adopt it! .
handwritten report on the scenery of the four seasons in the sixth grade of primary school
The last ray of the most beautiful and beautiful setting sun has set foot on the distance of returning home. At this time, the farm life is exactly the kind of warm and friendly home that we yearn for most, the kind of comfortable and warm home that farmers feel after returning from work. This kind of life will only exist here. I don't know how many spring, autumn and autumn, and I don't know how many days and nights, it still slips down in a hurry. It still stretches out piece by piece, whether it is flowering or withering and desolate. It seems that it has been isolated for many years, but years of forgetting always look for a piece of soil with clean mind, fill your belly when you are hungry, and come and go freely when you are happy. I don't know how many years have passed, and the pace of the clock is so long that it goes forever, just staying forever for several years, just seeking this stable and happy farm life for several years. Let people here feel the truth of life and the persistence of their hearts. Animals here love the life of standing outside the door in groups in the evening and enjoying the radiant light. People here love the life of stepping on the last ray of sunshine after dinner and seeking happiness. Heart is wandering, but blood is splashing here? Let beautiful life penetrate life, and everything will be more magnificent and beautiful here? The gentle hillside is inlaid with pink buckwheat fields, and the roadside is paved with green highland barley fields. The fence made of logs follows the winding dirt road and leads to the distant virgin forest. Tibetan diaojiao buildings are scattered along the roadside. In the light blue smoke of boiled milk tea, cattle and sheep appear from time to time ... The whole atmosphere presents a medieval local meaning. Huanglong Township is located in a small mountain market town. It is quite distinctive. The main villagers in the township are Han immigrants from the mainland. In order to adapt to the environment, they have long had obvious Tibetan characteristics in housing construction, diet and so on, but their daily life customs still maintain the habits of the Han nationality, forming a unique folk customs. If tourists visit local farmhouses, they will usually be warmly treated, taste butter tea, drink a bowl of green tree wine, and then ride their masters' high-headed horses to visit the mountain pasture. You can fully appreciate the rural scenery here. Tens of thousands of acres of pear flowers with flowers and hundreds of thousands of acres of golden cauliflower make the countryside in Pengzhou colorful and colorful, which constitutes the charming western Sichuan style of Pengzhou. Recently, the first rural flower viewing festival in Pengzhou with the theme of China rural tour was held in Gexianshan Town and hongyan town. This rural flower viewing festival was hosted by Pengzhou people, Gexianshan Town and hongyan town people. It will last from March 18th to May. On the opening day, in Xiyu Park of Gexian Mountain and Lihuaping of Hongyan, tens of thousands of citizens took part in the opening ceremony of the first rural flower viewing festival in Pengzhou in 26 with the theme of "China country tour". Ao Yuming, deputy secretary-general of Sichuan people * * *, announced the opening of the rural flower viewing festival. They strolled along country roads and watched pieces of vegetables. Experience the simplicity and nature of the countryside, a cup of green tea and a cool mind. The countryside in March is a unique picture. Rivers are like blue ribbons wrapped around endless green fields, and in the distance, houses with simple shapes and harmonious colors are beautiful and moving pastoral scenery! Past ancient windmills, the leaves of windmills turn against the wind like open wings, forming a unique scenery with green grass and wild flowers, adding magical colors to this fairy-tale world! Pairs of colorful, exquisite and gorgeous wooden shoes symbolizing sweet love! There are gorgeous tulips that pour countless lovers ... In the season when tulips are fragrant, the smiles of charming girls are as fragrant as flowers ... Huanglong Township is located in a small market town in a mountainous area, which is quite distinctive. The main people in the township are Han immigrants from the mainland. In order to adapt to the environment, they have long had obvious Tibetan characteristics in housing construction, diet and other aspects, but their daily life customs still maintain the habits of the Han nationality. Form a more unique folk customs. Visitors who visit local farmhouses will usually be warmly treated, taste butter tea, drink a bowl of green wine, and then ride on the owner's burly horse to visit the mountain pasture, so that they can fully appreciate the pastoral scenery here. There are faint lakes, windmills, green grass, small houses, how cozy tulip fields are, and the windmills are spinning around! Is this a dream? Tall buildings are also works of art, classical and elegant, like a rich paint painting! Green is everywhere, even the air smells of grass. There is a green color all around, and the windmill stops and revels in the beautiful scenery.
The change of substance in Unit 2 of the sixth grade of Scientific People's Education Edition should be urgent
The change of substance means that the form or kind of substance has changed, which can be divided into physical change and chemical change. Physical change means that the kind of substance remains unchanged, but the form has changed. For example, ice, water and steam are all water, but one is solid water, one is liquid and the other is gaseous. But their molecules are all water molecules. Chemical changes mean that the types of substances have changed, that is, new substances have been generated. For example, gasoline combustion has turned into carbon dioxide and water, and he has changed from gasoline molecules to carbon dioxide molecules and water molecules. By contrast, it is obvious that the types of substances have changed, because gasoline, carbon dioxide and water are obviously not the same thing. Color changes, gas generation, temperature changes and ph changes may all be physical changes. It may also be a chemical change, or both of them are state changes but only physical changes. The melting of iron into molten iron is a typical physical change, because iron is still iron, and the kind of substance has not changed, but has changed from solid to liquid.