Mathematics is actually a process of thinking.
Legend has it that in ancient times, a minister invented a kind of chess for the king. The king was overjoyed and wanted to reward the minister. He asked the minister what he wanted. The minister said to put some rice on the chessboard, the first grid 1 grain, the second grid 2 grains, the third grid 4 grains, and the fourth grid 8 grains ... until the 64th grid. The king readily agreed. Will the king promise?
If you studied geometric series in high school, then you will understand that this is a very large number, and the king will never promise to bluff after knowing the answer.
The first grid is 2 0 =1.
The second cell is 2 1 = 2.
The third grid is 2 2 = 4.
……
When wheat was placed in the 28th grid, the number of grains in this grid had exceeded 654.38 billion.
About (9223720368) ten thousand capsules should be put in the 64th box.
Total number of wheat grains required
1+2+2^2+2^3+2^4+……+2^63=2^64- 1
= 1844674407370955 16 15
Of course, this problem is also derived as follows
If someone earns 300,000 a day for a month, but within this month, you only need to give him 1 cent on the first day, 20 cents on the second day and 40 cents on the third day. . . After that, give him twice the money of the previous day, okay?
If you know geometric series, of course not.
Therefore, the most important thing in mathematics is thinking, and we must learn to reduce to modeling, so that we can learn to do the big problems behind. Make the concept clearer, learn to preview and review, and be sure to stick to it! There is also the need to learn to sum up and learn more from your teachers or people who are good at math.
Finally, I hope you get good grades.
Question 2: What's the use of learning high school mathematics? I have never understood that mathematics is a basic science, which means that it is hidden in our daily life and serves other sciences. Everything from rocket satellite to economic operation mode to vehicle design and trading depends on the development of mathematics. Of course, these are a little far from us ordinary people. But from primary school to high school, math class is essential, not because it is the need of examination, but because it cultivates people's thinking ability and hones people's character. For example, the study of classified discussion allows us to consider things in an all-round and orderly way in the years to come, without emphasizing omissions and defining priorities. For example, the combination of numbers and shapes makes our thinking mode more suitable for understanding the same thing from multiple angles. Don't be afraid of high school mathematics. You will find that high school mathematics does not require high IQ, but requires higher EQ and learning quotient, such as persistence, perseverance, down-to-earth, cooperation with classmates, learning to seek help from others (teachers) and so on.
Question 3: Mathematics in senior high school is so difficult to learn. Why is high school mathematics difficult to use? This is basic mathematics hundreds of years ago.
Mathematical analysis: mainly including calculus and series theory. Calculus is the foundation of advanced mathematics, and it has a wide range of applications. Basically, all fields involving functions need knowledge of calculus. Among them, Fourier series and Fourier transform are mainly used in the field of signal analysis, including filtering, data compression and power system monitoring. And the manufacture of electronic products is also inseparable from it.
Real variable function (real analysis): one of the enhanced versions of mathematical analysis. Mainly used in fields such as economics that focus on data analysis.
Complex function (complex analysis): the second enhanced edition of mathematical analysis. A widely used subject, widely used in aviation mechanics, fluid mechanics, solid mechanics, information engineering, electrical engineering and other fields, so engineering students should take this course.
Higher algebra mainly includes linear algebra and polynomial theory. Linear algebra can be said to be a branch of mathematics that is widely used at present. Data structure, program algorithm, mechanical design, electronic circuit, electronic signal, automatic control, economic analysis, management science, medicine, accounting, etc. Everyone needs the knowledge of linear algebra, which is a compulsory course for students majoring in economics, engineering and computer.
Advanced geometry: including spatial analytic geometry, projective geometry, spherical geometry, etc. , mainly used in architectural design and engineering drawing.
Differential equation: including ordinary differential equation and partial differential equation, one of the important tools. Fluid mechanics, superconducting technology, quantum mechanics, mathematical finance, material science, pattern recognition, signal (image) processing, industrial control, power transmission and distribution, remote sensing measurement and control, infectious disease analysis, weather forecast and other fields are all needed.
Functional analysis: mainly studies functions in infinite dimensional space. Because it is abstract, it is not directly used in technology, but generally used in continuum mechanics, quantum physics, computational mathematics, cybernetics, optimization theory and other theories.
Modern algebra (abstract algebra): It mainly studies various axiomatic abstract algebraic systems. There is no application in technology, but it is used more in physics, especially group theory.
Topology: study the invariance of * * under continuous transformation. It is widely used in natural science, such as the classification of liquid crystal structural defects in physics, molecular topological configuration in chemistry, DNA ring and topoisomerase in biology. , also has a very important application in economics.
Number theory: once considered as a mathematician's game, the only branch that will not have any application value. The famous Goldbach conjecture comes from number theory. Now with the development of network encryption technology, number theory has also found its own place-cryptography. Wang Xiaoyun, who cracked the MD5 code a few years ago, was born in number theory.
Some branches, such as discrete mathematics, operational research and cybernetics, are developed purely for application. Without mathematics, all scientific research would be impossible.
Question 4: What are the advantages of learning mathematics? Mathematics is a subject to develop thinking, and it is also the basis of learning technology, such as physics, chemistry, machinery, computer, photoelectric technology and so on. If you can't learn math well, it will be difficult to learn it. So, you must learn math well. You should arrange a simple and feasible plan to improve your study method. At the same time, you should properly participate in school activities and develop in an all-round way. In the process of learning, we must: listen more (listen to lectures), remember concepts and formulas), read more (read books), do more (do homework), ask more questions (if you don't understand), do more experiments, review more and summarize more. Concentrate by taking notes in class. Read more important English texts and be familiar with vocabulary and usage. At other times, we must ensure the study time and the study quality of all subjects, and we can't be partial to subjects every day. Ensure learning efficiency. Arrange appropriate free time to communicate with family and friends. Make unremitting efforts to improve and stabilize your grades step by step. Try your best in the exam, be careful in the exam, and be calm in the final sprint. Summarize it carefully after the exam to facilitate better study in the future. Now: let go of the burden, usually: study hard. Before the exam: prepare carefully, during the exam: don't say anything.
Seek adoption
Question 5: Is high school mathematics useful for future real life? That depends on what kind of work you do.
And mathematics seems to be more about exercising thinking ability.
Perhaps the most useful thing for real life is the math I learned when I was a child. . .
Question 6: Does anyone know what high school mathematics has in daily life? The process of drawing cards with the simplest 52 cards is the process of systematic sampling.
Question 7: What is the difference between true inclusion and package in senior high school mathematics? When to use inclusion? When to use true tolerance? True tolerance cannot be equal, and tolerance can be equal.
Question 8: Is it useful to learn math well in senior high school? 20 points is useful. The most direct way to improve your logical thinking ability is to improve your college entrance examination score. Doing math problems is based on facts, which is no different from personal understanding of some abstract concepts in Chinese.
Then if you study other science knowledge, you will also use mathematics, and advanced mathematics in universities is based on high school mathematics.
Question 9: What's the use of high school mathematics? Mainly the college entrance examination, followed by being a teacher or mathematician, you will use some in your life. However, it is useless.
Question 10: Are there any learning skills in high school mathematics? High school math 10 is just a brush question, and it will have an effect soon. The premise is to make up the mistakes carefully according to the answers after finishing, and to have a heart that really wants to do math well.