1, science is the knowledge of seeking truth from facts, and nothing can be false. -Hua
The ability of independent thinking is very necessary for engaging in scientific research or any other work. Any major scientific invention in history is due to the inventor giving full play to this original spirit. -Hua
All scientists who have achieved great success are experts in using time without exception, and they are also people who are determined to invest a lot of labor in a lot of time-Hua.
Everyone must form the habit of self-study, even the students who are in school today, because they will leave school sooner or later! Self-study is the ability to learn and think independently. It's up to the traveler to walk on his own. -Hua
Genius is not enough, cleverness is unreliable, and it is unimaginable to pick up great scientific inventions conveniently. -Hua
6. We'd better regard our life as a continuation of our predecessors' life, a part of our present life and the beginning of our future generations' life. If this goes on, science will be more brilliant and society will be better every day. -Hua
7. Cleverness lies in learning, and genius lies in accumulation. ..... The so-called genius actually depends on learning. -Hua
8. There is no royal road to science, and there are countless reefs and shoals in the long river of truth. Only herb gatherers who are not afraid of climbing, only herb gatherers who are not afraid of stormy waves, can climb the peak to collect fairy grass and go deep into the water to find pearls. -Hua
9. In the long March of seeking truth, only by studying, constantly studying, diligently studying and creatively learning can we climb mountains and climb mountains. -Hua
10 I think people have two shoulders, which should play a role at the same time. I want to shoulder the burden of door-to-door delivery and send scientific knowledge and tools to the workers' masters; The other shoulder can be used as a ladder for young people to climb a higher scientific level. -Hua
1 1. Time is accumulated by minutes. Only those who make good use of their spare time can achieve greater success. -China.
12, I'm sorry for the lack of water. -Hua
13, self-study, not afraid of the low starting point, not afraid of the end. -Hua
14. Grasp what you are most interested in and learn step by step from shallow to deep ... —— Hua
15. Learning and research are like climbing a ladder. If you want to climb up step by step, try to climb four or five steps with one foot on the ground and reach the sky, you will certainly be able to wrestle. -Hua
2. Famous sayings and aphorisms about mathematics Four-word mathematics is a variety of proof skills. Wittgenstein, British philosopher
The first is mathematics, the second is mathematics and the third is mathematics. German experimental physicist Roentgen.
Mathematicians are fascinated by nature. Without infatuation, there is no math. Novales
The main goal of mathematics is the public interest and the explanation of natural phenomena. Fourier, French mathematician and physicist
What pleases me most about mathematics is what can be proved. Russell, British philosopher and historian
In mathematics, the main tools for us to find truth are induction and simulation. Laplace, French mathematician and astronomer
New mathematical methods and concepts are often more important than solving mathematical problems themselves. China mathematician Hua
No subject can clarify the harmony of nature more clearly than mathematics. Paul carus
The strongest triangle in mathematics is precisely the most fragile relationship in emotion. Contemporary writer, whose real name is Wang Xiaodi and pen name is Jiu Yehui Jiu Yehui, hurried that year.
Any branch of mathematics, no matter how abstract, will be applied to the real world one day. Mathematical famous saying Russian mathematician Lobachevsky
If others think about mathematical truth as deeply and continuously as they do, they will find the same thing. American theologian Joan Edwards
Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements. Hungarian mathematical genius von Neumann von Neumann in Princeton, USA
The size of the universe, the tiny particles, the speed of rockets, the ingenuity of chemical engineering, the change of the earth, the mystery of biology and the complexity of daily life require mathematics everywhere. China mathematician Hua
Hua Zeng, a famous mathematician in China, once said: "The combination of numbers and shapes is good in all aspects, but there are many cracks: 1. Hua, a famous mathematician in China, once said: "The combination of numbers and shapes is good in any way. If it is separated, everything will be finished. "
As shown in the figure below, on a square cardboard with a side length of 1, the pasting area is.
12,
14,
18,
1 16,…,
12 10 rectangular piece of paper, please write the expression of the area of the last remaining unpainted part:
12 10 12 10
Test center: regular type: graphic variation type; Analysis: according to the meaning of the question, the area of the rectangular piece of paper pasted each time is equal to the area left after pasting, so the last area left is the area of the rectangular piece of paper pasted last. Solution: ∵ First left: 1- 12= 12,
Second left: 12- 14= 14,
The third left: 14- 18= 18,
∴ The nth residue: 12n
2. 1. From the figure, we can get:1/2+1/8+65438+16+= 65438+.
So1/2+1/4+1/8+16+116 =1-/kloc.
2. 1/2 + 1/4 + 1/8 + 1/ 16 + 。 + 1/2^n = 1- 1/2^n
3.12 to the power of 10. I hope you like it!
4. Talking about "the combination of numbers and shapes" Numbers and shapes are the oldest and most basic research objects in mathematics, and they can be transformed into each other under certain conditions. The object of middle school mathematics research can be divided into two parts: number and shape. There is a connection between numbers and shapes, which is called the combination of numbers and shapes, or the combination of numbers and shapes As a mathematical thinking method, the application of the combination of numbers and shapes can be roughly divided into two situations: either by means of the accuracy of numbers to clarify some properties of shapes, or by means of the geometric intuition of shapes to clarify some relationship between numbers, that is, the combination of numbers and shapes includes two aspects: the first situation is "solving shapes with numbers" and the second situation is "helping numbers with shapes". "Solving shapes by numbers" means that some shapes are too simple to see any laws by direct observation, and it is necessary to assign values to the shapes, such as side length and angle. Remarks: This answer is taken from. If you don't know anything, you can look at your studies.
5. Many ancient poems adopted the combination of reality and fiction. "Reality" refers to the scene you see before your eyes, "emptiness" refers to the product of imagination and association, the transposition of subject and object (mutual imagination), writing dreams and so on. Here's a small example: a very familiar poem: Being a stranger in a foreign land, I miss my relatives more every festive season, knowing where my brother is climbing in the distance, and planting dogwoods everywhere. Compared with Being a Stranger, he showed his homesickness from two aspects. Another example is: On the solstice in Handan, every winter, he hugs his knees in front of the lamp and stays with him. If he wants to sit at home late at night, he should also say "homesick". In three or four sentences, he wrote "homesickness" in front. What is touching about him is that the scene he imagined when he was homesick was that his family missed him. This winter solstice festival. what did you say ? This leaves readers with a broad imagination. Everyone who has enjoyed family happiness and had similar experiences can think a lot according to their own life experiences. This technique (subject-object translocation) is called "thinking on behalf of others", which makes emotional expression more subtle, tortuous and moving. Another example is Wang Changling's farewell to Wei Er: Biejianglou is drunk with oranges and pomelo, and the river wind draws rain into the boat to enjoy the cool. What are the benefits of the last two sentences? The author imagined that his friend was tossing and turning alone on the water in Hunan, worried about listening to apes, which made his reluctance and concern for his friend's departure more profound and touching.
6. Who can provide some classic examples of the combination of numbers and shapes, such as 1? Mean value theorem and its geometric significance, the radius is not less than half a chord (this figure can be found on the internet)?
2. For example, the value range of y=|x|+|x- 1| can be studied with the help of geometric figures. Its geometric meaning is that the sum of the distance from a point on the number axis X to 0+the distance from a point on the number axis X to 1 is always greater than or equal to 1. Therefore, the range of values is y>= 1.
3. The linear programming problem is also a classic of the combination of numbers and shapes.
The Pythagorean theorem mentioned upstairs is also good. A square is a classic figure of a square.
5. For most function problems, we can get the properties of the function by studying their images.
Say so much first, then add.