Change of computing power
Publish: 2021-04-13 23:17:27
1.
You can refer to the following, according to some commonly used graphics cards in the Internet bar market, sort out the price and calculation power of a related graphics card, as well as the expected return to the current period, It can be used as a reference:
{rrrrrrr}
power consumption: 243w
computing power: 22.4m
price of graphics card: 1999 yuan
quantity of eth g every 24 hours: 0.015
revenue generated every 24 hours: 24.48 yuan
expected payback time: 81.66 days
power consumption: 159w
computing power: 24.3m
price of graphics card: 1599 yuan Yuan
number of eth g every 24 hours: 0.017
revenue generated every 24 hours: 27.9 yuan
estimated payback time: 57.31 days
total power consumption: 171w
computing power: 24.4m
price: 1999 yuan
number of eth g every 24 hours: 0.017
revenue generated every 24 hours: 27.87 yuan
estimated payback time: 71.73 days
Video card (graphics card) full name display interface card, also known as display adapter, is the most basic configuration of computer, one of the most important accessories. As an important part of the computer host, the graphics card is the equipment of digital to analog signal conversion, and it undertakes the task of output display graphics
the graphics card is connected to the main board of the computer, which converts the digital signal of the computer into an analog signal for the display. At the same time, the graphics card still has the ability of image processing, which can help the CPU work and improve the overall running speed. For those engaged in professional graphic design, graphics card is very important. Civil and military graphics chip suppliers mainly include amd (ultra micro semiconctor) and NVIDIA (NVIDIA). Today's TOP500 computer, including graphics card computing core. In scientific computing, graphics card is called display accelerator
2. Master in each hand of chess, after the changes will be carefully calculated. Repeat the different changes in your mind like a slide show, and choose the best way to do it. Finally, you can get on the chessboard
children who have just learned chess often play chess very fast. What they care about is winning or losing. There are no changes in their eyes. They play mechanically by feeling. Developing this habit is certainly harmful to the improvement of chess power
therefore, it is very important to develop the habit of thinking when playing chess at the beginning stage. It's important to think about how the other side will play chess and how they should play next. The ability to analyze all kinds of changes in mind is the ability to calculate
in go, computational ability is a basic ability, so the cultivation of computational ability is the only way to improve chess power. The best way to cultivate the ability of calculation is to do the dead and alive questions and the hand problems. It can be said that the training of computational ability must run through the whole process of learning chess
for beginners, we should also pay attention to some methods to solve the problems of life and death and hand muscle. First of all, we should pay attention to the choice of difficulty, follow the principle of graal progress, according to their ability from simple to difficult. Secondly, when answering questions, do not know the answer in advance. Only on the premise of not knowing the answer, through the full analysis of various changes, can it play the role of exercise
besides, don't be afraid to make mistakes. The most important thing is the process of calculation. In the repeated exercise, summarize all kinds of experience, strengthen the feeling of all kinds of key points of chess. Calculation ability will be improved unconsciously in the process of exercise, so the accuracy rate will be improved naturally
experience the new blog
children who have just learned chess often play chess very fast. What they care about is winning or losing. There are no changes in their eyes. They play mechanically by feeling. Developing this habit is certainly harmful to the improvement of chess power
therefore, it is very important to develop the habit of thinking when playing chess at the beginning stage. It's important to think about how the other side will play chess and how they should play next. The ability to analyze all kinds of changes in mind is the ability to calculate
in go, computational ability is a basic ability, so the cultivation of computational ability is the only way to improve chess power. The best way to cultivate the ability of calculation is to do the dead and alive questions and the hand problems. It can be said that the training of computational ability must run through the whole process of learning chess
for beginners, we should also pay attention to some methods to solve the problems of life and death and hand muscle. First of all, we should pay attention to the choice of difficulty, follow the principle of graal progress, according to their ability from simple to difficult. Secondly, when answering questions, do not know the answer in advance. Only on the premise of not knowing the answer, through the full analysis of various changes, can it play the role of exercise
besides, don't be afraid to make mistakes. The most important thing is the process of calculation. In the repeated exercise, summarize all kinds of experience, strengthen the feeling of all kinds of key points of chess. Calculation ability will be improved unconsciously in the process of exercise, so the accuracy rate will be improved naturally
experience the new blog
3. △R/R=K* ε， Use this formula to calculate the strain, and then the stress = E* ε
e is the elastic molus of the measured object. If you are interested in the knowledge of strain gauge, you are welcome to chat with me,
e is the elastic molus of the measured object. If you are interested in the knowledge of strain gauge, you are welcome to chat with me,
4. Computing power (also known as hash rate) is a measure of bitcoin network processing power. That is, the speed of computing hash function output for computer (CPU). Bitcoin networks must perform intensive mathematical and encryption related operations for security purposes. For example, when the network reaches a hash rate of 10th / s, it can perform 10 trillion calculations per second
in the process of getting bitcoin through "mining", we need to find its corresponding solution M. for any 64 bit hash value, there is no fixed algorithm to find its solution M. we can only rely on the computer's random hash collisions. How many hash collisions can a mining machine do per second is the representative of its "computing power", and the unit is written as hash / s, This is the so-called proof of work mechanism (POW)
recently, bitcoin's network computing power has entered the era of P computing power (1P = 1024t, 1t = 1024g, 1g = 1024m, 1m = 1024k). In the ever-increasing computing power environment, the arrival of P era means that bitcoin has entered a new stage of arms race
computing power is a measure of the total computing power of the unit that generates new blocks under certain network consumption. The single blockchain of each coin varies with the time required to generate a new transaction block.
in the process of getting bitcoin through "mining", we need to find its corresponding solution M. for any 64 bit hash value, there is no fixed algorithm to find its solution M. we can only rely on the computer's random hash collisions. How many hash collisions can a mining machine do per second is the representative of its "computing power", and the unit is written as hash / s, This is the so-called proof of work mechanism (POW)
recently, bitcoin's network computing power has entered the era of P computing power (1P = 1024t, 1t = 1024g, 1g = 1024m, 1m = 1024k). In the ever-increasing computing power environment, the arrival of P era means that bitcoin has entered a new stage of arms race
computing power is a measure of the total computing power of the unit that generates new blocks under certain network consumption. The single blockchain of each coin varies with the time required to generate a new transaction block.
5. At present, under the premise of the bottleneck in the development of the coal instry, the employment prospect of mining engineering specialty has encountered some difficulties, but it is also an opportunity. Mining belongs to the basic instry and will still play an important role in the future
graates majoring in mining engineering can be engaged in design and transformation management of coal mine, iron ore, gold mine, gypsum mine and railway, as well as proction and development, scientific research and teaching work in six categories of mining, including metallurgy, non-ferrous, chemical, nuclear, non-metallic and coal, and water conservancy, railway, underground, engineering and environmental protection departments
the major of mining engineering is the major of Geology and mining, which mainly studies and studies the theory and method of deposit mining, and develops new mining technology. In the world, the major of mining came into being earlier, and it has a long history in the period of western instrial revolution. China first established the major in China University of mining and technology in 1909, which was named Jiaozuo road and mine school at that time. The major of mining is to train high-level engineering and technical personnel who have the basic theory and method of mining solid (coal, metal and non-metal) deposits, the basic ability of mining engineer, and can engage in the scientific research of mining area development planning, mine (open pit and underground) design, mine safety technology and engineering design, supervision, proction technology management in the mining field.
graates majoring in mining engineering can be engaged in design and transformation management of coal mine, iron ore, gold mine, gypsum mine and railway, as well as proction and development, scientific research and teaching work in six categories of mining, including metallurgy, non-ferrous, chemical, nuclear, non-metallic and coal, and water conservancy, railway, underground, engineering and environmental protection departments
the major of mining engineering is the major of Geology and mining, which mainly studies and studies the theory and method of deposit mining, and develops new mining technology. In the world, the major of mining came into being earlier, and it has a long history in the period of western instrial revolution. China first established the major in China University of mining and technology in 1909, which was named Jiaozuo road and mine school at that time. The major of mining is to train high-level engineering and technical personnel who have the basic theory and method of mining solid (coal, metal and non-metal) deposits, the basic ability of mining engineer, and can engage in the scientific research of mining area development planning, mine (open pit and underground) design, mine safety technology and engineering design, supervision, proction technology management in the mining field.
6. The calculation of various changes in each playing point is more rigorous in Gobang, but the amount of calculation is small, on the contrary in go.
7. In physics, a moment is a vector, which can be thought of as a rotational force or a angular force, resulting in the change of rotational motion. This force is defined as the linear force cross multiplied by the radial length. According to the international system of units, the unit of moment is Newton meter. The properties of moment are as follows: 1. The moment of force F to point O is not only determined by the magnitude of force, but also related to the position of moment center. The moment varies with the position of the moment center; 2. When the force is zero or the force arm is zero, the moment is zero; 3. When the force moves along its action line, because the magnitude, direction and arm of the force do not change, the moment does not change. 4. The algebraic sum of the moments of two mutually balanced forces at the same point is equal to zero. The moment of a force on an axis is a measure of the effect of a force making an object rotate about an axis. In a plane force system, the moment of a force pair to a point is the moment of a force pair passing through the point and perpendicular to an axis of the plane in which the force system is located. The moment vector of the force to the point is the positioning vector, which passes through the moment center 0 and its direction is determined according to the right-hand spiral rule
8. The ratio increasing method and the equal difference increasing method are two methods to calculate the rent in the leasing business. According to its basic formula, we can dece and calculate that if the rent is calculated and paid according to the equal proportion increasing method, the actual rent rate will drop, or even drop by a large margin, resulting in the loss of the interests of the lessor; If the rent is calculated according to the equal difference increasing method, the actual rent rate is always equal to the nominal rent rate, and the calculation is simple. Therefore, the equal difference incremental method is more fair, reasonable and practical than the equal ratio incremental method
with the continuous deepening of China's middle school teaching reform, the Shanghai primary and secondary school mathematics curriculum standard (Trial draft) proposes to vigorously promote the digital mathematics activity (Dima) based on modern information technology, and establish the digital mathematics activity system based on computers and calculators (including scientific calculators Function calculator and graphic calculator) as the support, has intelligent software and rich courseware, connection information network Dima platform. Using this platform, we can improve the processing and presentation of mathematics content, and let students learn independently in the information technology environment, and carry out experiments, exploration and research
today, when we vigorously promote the universal application of information technology in the teaching process and promote the integration of information technology and subject curriculum, our school is also implementing the curriculum reform, and the graphic calculator is also applied to the classroom of mathematics expansion course. For this reason, we designed a teaching case of "using graphic calculator to study several methods of expressing arithmetic and proportional sequence"< Teaching background:
in the chapter of sequence, when explaining the concepts of arithmetic sequence and arithmetic sequence, the content is relatively simple and easy for students to master. It is the basis of learning sequence, which is helpful to cultivate students' observation ability and inction ability. The contents of the equal ratio sequence and the equal difference sequence are completely parallel, including the definition, the nature, the formula of the general term, the equal ratio (difference) median of two numbers, etc
after more than half a year of using graphic calculators, senior one students have a preliminary understanding of using graphic calculators to analyze, construct and explore mathematical problems. They felt that the use of graphic calculator not only changed their way of learning mathematics, but also increased their interest in learning mathematics. They like this "do math" way of learning very much
Graphic Calculator has many functions to use sequence, such as the use of general formula and recursive formula of sequence, sequence image and image tracking function, expression function of sequence operation table, iteration function of sequence, programming function of sequence, etc. All these have played a great role in learning the basic knowledge of sequence, correctly understanding sequence, making students experience the cognitive process of formula, understand the mathematical thinking method, and improve the ability of problem-solving in the effective attempt to guess, reasonable inction, simplified operation and verification operation< The design concept of the lesson is the core of the whole series knowledge learning. Conjecture, inction, recursion, analogy and other mathematical ideas are fully reflected in the learning of these two basic knowledge, which can be described as "although a sparrow is small, it has all five internal organs". However, it is difficult to fully and correctly show these in the traditional sequence teaching. This will lead to students' one-sided understanding of what they have learned, which will have a negative impact on the follow-up study of sequence. The graphic calculator has many functions to use the sequence, such as the use of the general formula and recursive formula, the image and image tracking function, the expression function of the operation table, the iteration function and the programming function of the sequence. All these have played a great role in learning the basic knowledge of sequence, correctly understanding sequence, making students experience the cognitive process of formula, understand the mathematical thinking method, and improve the ability of problem-solving in the effective attempt to guess, reasonable inction, simplified operation and verification operation. Therefore, we envisage that students can have a clear understanding of the two conventional series by studying and expressing the series with graphic calculator. At the same time, we also want to cultivate students' initiative and inquiry spirit and improve their mathematics learning ability through this learning process<
Design and Implementation:
the teaching content of the new textbook pays more attention to the integration of function thought and computer technology. From the beginning of this chapter, the textbook puts the number sequence in the context of function and gives the definition: the number sequence is a function with a positive integer set (or its finite subset) as the domain of definition. When the independent variable values in the order from small to large, the corresponding function value is the term of the number sequence. Sequence is a kind of discrete function. In the allocation of exercises, teaching materials are often compared with function teaching. The general term formula, recurrence formula and image of arithmetic sequence and proportional sequence are the main contents of our research in this lesson. We imagine that with the help of graphic calculator, we can make students have a vivid, comprehensive and correct understanding of sequence knowledge by doing mathematics, so as to improve students' mathematical thinking ability and cultivate students' correct mathematical view, Really improve students' interest in mathematics learning
case 1 (1) find the 11th term of the arithmetic sequence - 121, - 110, - 99, - 88,...
2) write the general term formula and recurrence formula of the sequence
for this problem, in fact, according to its basic law, you can calculate the result. But using graphic calculator can make us think about the solution of the problem from many angles, which is concive to students' comprehensive and correct understanding of the characteristics of arithmetic sequence, so as to simplify the calculation
method 1: use the numerical iteration function (as shown in Figure 1):
①
method 2: use the array function of the graphic calculator (as shown in Figure 2):
②
method 3: use the recursive function of the calculator
Figure 3: Use & iquest on the premise of setting the function function function; Key, which is the same as Figure 1< Method 4: guess the recurrence formula and the general term formula of the sequence, check whether the recurrence formula and the general term formula of the sequence are correct through the sequence related function of the calculator, and calculate the 11th term of the sequence:
Figure 4 guesses the recurrence formula of the sequence according to the characteristics of the sequence, Using the function of figure calculator, using Y & # 39; Draw a table
④
Fig. Then, we also use y & # 39; Draw a table< Note: while solving this problem, we can also verify that "the general term formula of arithmetic sequence is a special first-order function" through graphic calculator
as shown in Figure 7, we can get that the image of sequence is a discrete point on a straight line, from which we can see that sequence is a special function< Method 5: because the number sequence is a special function, we use the function of graphic calculator to think about the problem.
figure 8 is under the cognitive condition of "the number sequence is a special function", we use the function of calculator to get the function y = - 121 + 11 (x-1), and use the connection between the function and the number sequence an = - 121 + (n-1) to think about the related problems of the number sequence< Method 6: make full use of the function fitting function of the graphic calculator to get the general term formula of the sequence through the combination of number and shape
Figure 9: use the linear regression function of the graphic calculator to list the table of the sequence first, and then connect the general term formula of the arithmetic sequence with the first-order function according to the data in the table, By using the fitting function of graphic calculator, the function relation is obtained, and the general term formula of sequence is obtained< Method 7: use the programming function of graphic calculator to solve the problem of sequence (as shown in Figure 10)
10
comments: Method 1 and method 2 use the iterative function of calculator, but method 2 shows the corresponding relationship between the serial number and the value of the item in the sequence, from which we initially realize that the sequence is a special function
the fourth method is to guess the recurrence formula and general term formula of the sequence, under the support of the sequence function of the calculator, from the operation table of the sequence or the tracking of the image of the sequence to verify whether your guess is correct, and get the answer to the problem to be solved. This kind of learning method is helpful to cultivate students' ability of analysis, conjecture, demonstration and inction. This is what we lack in our regular learning, and the use of graphic calculator has built us such a learning method platform
method 6 and method 7 are both under the condition that the number sequence is a special function. Supported by the function function of the calculator, we find a way to solve the problem by guessing or fitting the analytic formula of the function, which is helpful for students to learn the knowledge of the number sequence and understand the characteristics of the number sequence, Method 8 adopts the programming function of graphic calculator, which can't be achieved in general mathematics teaching. It reveals the essence of arithmetic sequence from another perspective< (3) is 209 the item in the sequence, and if so, what is it< Method 1, array method 2, table method 3, image method 4, equation solving method the purpose of setting this question is: on the basis of the first question, using the functions of operation, tracking and equation solving of graphic calculator to cultivate students' reverse thinking and improve their mathematical thinking ability
it should be pointed out that the sequence we discussed above is tolerance D & gt; 0, for beginners, they often have certain thinking set, such as: "tolerance D & gt; In order to avoid similar problems, we especially remind students to pay attention to the differences between the following two types of sequence
(1) constant sequence (2) arithmetic sequence with negative tolerance
- 2, - 2,... 3, 1, - 1, - 3, ...
students should have a correct understanding of the dialectical relationship between general and special<
case 2: make up a topic of equal ratio series, and study the related properties of equal ratio series
find out typical problems from students' many problems, and study them together with teachers and students, including the examples in the book
(in real life, such as loan to buy a house, population growth and the change of housing area - pay attention to the hot issues around the people, Pay attention to guide students to apply their knowledge to related subjects, life and proction practice, so that students can develop their thinking ability while acquiring and applying knowledge, so that students can use existing knowledge to communicate, and abstract practical problems into mathematical problems and establish mathematical models.)
such as "a foot of the hammer, half of the day, never exhausted", and asked to say its mathematical model, find out its general formula
(both new and old textbooks and textbooks are being compiled, etc.)
with the continuous deepening of China's middle school teaching reform, the Shanghai primary and secondary school mathematics curriculum standard (Trial draft) proposes to vigorously promote the digital mathematics activity (Dima) based on modern information technology, and establish the digital mathematics activity system based on computers and calculators (including scientific calculators Function calculator and graphic calculator) as the support, has intelligent software and rich courseware, connection information network Dima platform. Using this platform, we can improve the processing and presentation of mathematics content, and let students learn independently in the information technology environment, and carry out experiments, exploration and research
today, when we vigorously promote the universal application of information technology in the teaching process and promote the integration of information technology and subject curriculum, our school is also implementing the curriculum reform, and the graphic calculator is also applied to the classroom of mathematics expansion course. For this reason, we designed a teaching case of "using graphic calculator to study several methods of expressing arithmetic and proportional sequence"< Teaching background:
in the chapter of sequence, when explaining the concepts of arithmetic sequence and arithmetic sequence, the content is relatively simple and easy for students to master. It is the basis of learning sequence, which is helpful to cultivate students' observation ability and inction ability. The contents of the equal ratio sequence and the equal difference sequence are completely parallel, including the definition, the nature, the formula of the general term, the equal ratio (difference) median of two numbers, etc
after more than half a year of using graphic calculators, senior one students have a preliminary understanding of using graphic calculators to analyze, construct and explore mathematical problems. They felt that the use of graphic calculator not only changed their way of learning mathematics, but also increased their interest in learning mathematics. They like this "do math" way of learning very much
Graphic Calculator has many functions to use sequence, such as the use of general formula and recursive formula of sequence, sequence image and image tracking function, expression function of sequence operation table, iteration function of sequence, programming function of sequence, etc. All these have played a great role in learning the basic knowledge of sequence, correctly understanding sequence, making students experience the cognitive process of formula, understand the mathematical thinking method, and improve the ability of problem-solving in the effective attempt to guess, reasonable inction, simplified operation and verification operation< The design concept of the lesson is the core of the whole series knowledge learning. Conjecture, inction, recursion, analogy and other mathematical ideas are fully reflected in the learning of these two basic knowledge, which can be described as "although a sparrow is small, it has all five internal organs". However, it is difficult to fully and correctly show these in the traditional sequence teaching. This will lead to students' one-sided understanding of what they have learned, which will have a negative impact on the follow-up study of sequence. The graphic calculator has many functions to use the sequence, such as the use of the general formula and recursive formula, the image and image tracking function, the expression function of the operation table, the iteration function and the programming function of the sequence. All these have played a great role in learning the basic knowledge of sequence, correctly understanding sequence, making students experience the cognitive process of formula, understand the mathematical thinking method, and improve the ability of problem-solving in the effective attempt to guess, reasonable inction, simplified operation and verification operation. Therefore, we envisage that students can have a clear understanding of the two conventional series by studying and expressing the series with graphic calculator. At the same time, we also want to cultivate students' initiative and inquiry spirit and improve their mathematics learning ability through this learning process<
Design and Implementation:
the teaching content of the new textbook pays more attention to the integration of function thought and computer technology. From the beginning of this chapter, the textbook puts the number sequence in the context of function and gives the definition: the number sequence is a function with a positive integer set (or its finite subset) as the domain of definition. When the independent variable values in the order from small to large, the corresponding function value is the term of the number sequence. Sequence is a kind of discrete function. In the allocation of exercises, teaching materials are often compared with function teaching. The general term formula, recurrence formula and image of arithmetic sequence and proportional sequence are the main contents of our research in this lesson. We imagine that with the help of graphic calculator, we can make students have a vivid, comprehensive and correct understanding of sequence knowledge by doing mathematics, so as to improve students' mathematical thinking ability and cultivate students' correct mathematical view, Really improve students' interest in mathematics learning
case 1 (1) find the 11th term of the arithmetic sequence - 121, - 110, - 99, - 88,...
2) write the general term formula and recurrence formula of the sequence
for this problem, in fact, according to its basic law, you can calculate the result. But using graphic calculator can make us think about the solution of the problem from many angles, which is concive to students' comprehensive and correct understanding of the characteristics of arithmetic sequence, so as to simplify the calculation
method 1: use the numerical iteration function (as shown in Figure 1):
①
method 2: use the array function of the graphic calculator (as shown in Figure 2):
②
method 3: use the recursive function of the calculator
Figure 3: Use & iquest on the premise of setting the function function function; Key, which is the same as Figure 1< Method 4: guess the recurrence formula and the general term formula of the sequence, check whether the recurrence formula and the general term formula of the sequence are correct through the sequence related function of the calculator, and calculate the 11th term of the sequence:
Figure 4 guesses the recurrence formula of the sequence according to the characteristics of the sequence, Using the function of figure calculator, using Y & # 39; Draw a table
④
Fig. Then, we also use y & # 39; Draw a table< Note: while solving this problem, we can also verify that "the general term formula of arithmetic sequence is a special first-order function" through graphic calculator
as shown in Figure 7, we can get that the image of sequence is a discrete point on a straight line, from which we can see that sequence is a special function< Method 5: because the number sequence is a special function, we use the function of graphic calculator to think about the problem.
figure 8 is under the cognitive condition of "the number sequence is a special function", we use the function of calculator to get the function y = - 121 + 11 (x-1), and use the connection between the function and the number sequence an = - 121 + (n-1) to think about the related problems of the number sequence< Method 6: make full use of the function fitting function of the graphic calculator to get the general term formula of the sequence through the combination of number and shape
Figure 9: use the linear regression function of the graphic calculator to list the table of the sequence first, and then connect the general term formula of the arithmetic sequence with the first-order function according to the data in the table, By using the fitting function of graphic calculator, the function relation is obtained, and the general term formula of sequence is obtained< Method 7: use the programming function of graphic calculator to solve the problem of sequence (as shown in Figure 10)
10
comments: Method 1 and method 2 use the iterative function of calculator, but method 2 shows the corresponding relationship between the serial number and the value of the item in the sequence, from which we initially realize that the sequence is a special function
the fourth method is to guess the recurrence formula and general term formula of the sequence, under the support of the sequence function of the calculator, from the operation table of the sequence or the tracking of the image of the sequence to verify whether your guess is correct, and get the answer to the problem to be solved. This kind of learning method is helpful to cultivate students' ability of analysis, conjecture, demonstration and inction. This is what we lack in our regular learning, and the use of graphic calculator has built us such a learning method platform
method 6 and method 7 are both under the condition that the number sequence is a special function. Supported by the function function of the calculator, we find a way to solve the problem by guessing or fitting the analytic formula of the function, which is helpful for students to learn the knowledge of the number sequence and understand the characteristics of the number sequence, Method 8 adopts the programming function of graphic calculator, which can't be achieved in general mathematics teaching. It reveals the essence of arithmetic sequence from another perspective< (3) is 209 the item in the sequence, and if so, what is it< Method 1, array method 2, table method 3, image method 4, equation solving method the purpose of setting this question is: on the basis of the first question, using the functions of operation, tracking and equation solving of graphic calculator to cultivate students' reverse thinking and improve their mathematical thinking ability
it should be pointed out that the sequence we discussed above is tolerance D & gt; 0, for beginners, they often have certain thinking set, such as: "tolerance D & gt; In order to avoid similar problems, we especially remind students to pay attention to the differences between the following two types of sequence
(1) constant sequence (2) arithmetic sequence with negative tolerance
- 2, - 2,... 3, 1, - 1, - 3, ...
students should have a correct understanding of the dialectical relationship between general and special<
case 2: make up a topic of equal ratio series, and study the related properties of equal ratio series
find out typical problems from students' many problems, and study them together with teachers and students, including the examples in the book
(in real life, such as loan to buy a house, population growth and the change of housing area - pay attention to the hot issues around the people, Pay attention to guide students to apply their knowledge to related subjects, life and proction practice, so that students can develop their thinking ability while acquiring and applying knowledge, so that students can use existing knowledge to communicate, and abstract practical problems into mathematical problems and establish mathematical models.)
such as "a foot of the hammer, half of the day, never exhausted", and asked to say its mathematical model, find out its general formula
(both new and old textbooks and textbooks are being compiled, etc.)
9. This is the case. I think this phenomenon often appears on the Internet, so we should always pay attention to the civilized Internet.
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