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If the speed of a large truck is v (backwards are v 5), then the speed of the car is 3v (backwards are 3v 5).
If the reversing distance of the large truck is S, the reversing distance of the car is 4S1If you let the big truck reverse, because the speed of the car is greater than the speed of the big truck backwards, when the big truck exits this road, the car can also pass this road, leaving the big truck to complete this section of the road alone.
The reversing time of the large truck t1=s (v 5)=5s v The time when the large truck has completed this road t2=(s+4s) v=5s vThe total time taken by the truck is t1=5s v+5s v=10s v2If the car is reversed, because the speed of the big truck is greater than the speed of the car reversing, when the car exits this section, the big truck also completes the section, leaving the car to walk the whole road alone.
Car reversing time t3 = 4s (3v 5) = 20s 3v car after driving this road time t4 = (s + 4s) 3v = 5s 3v total time t2 = t3 + t4 = 20s 3v + 5s 3v = 25s 3v In summary, T2 is more reasonable to let the car reverse.
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Solution: The speed of the two cars reversing is 1 5 of their normal speeds, so the reversing speed of the car is 3 of the large truck.
Let the reversing speed of the large truck be V, and the reversing distance is S.
Then the reversing speed of the car is 3V, and the reversing distance is 4s.
The time taken by the car to reverse is t=4s 3v, and the time it takes for the big truck to take a taxi is t=s v, so the reversing time of the large truck is more reasonable.
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It is a good solution to the problem, and it also improves the learning efficiency.
Mathematics is a relatively comprehensive subject, which requires us to think constantly, but a lot of thinking is also abstract, so this also increases the burden of learning mathematics for many people. Because they gave up in one part of the process of continuous thinking, they did not complete the thinking of the math problem. <>
Of course, these refer to a long-lasting thinking, and in ordinary thinking math problems, everyone is still able to persevere and complete their math homework. However, we all know that there will always be several problems in the learning of mathematics, and these problems are a process of thinking for a long time, which also greatly increases everyone's thinking pressure.
Mathematical modeling is to use mathematical methods to build a model, which is more intuitive than imaginary thinking, and it is also very helpful for our learning.
We first use this mathematical problem to build a framework, and naturally, those mathematical concepts will be filled into this framework, and in the process of filling, this mathematical model will also be built, and the problem will become more intuitive, and the solution will be more convenient and fast. <>
In this modeling process, abstract mathematics is also made more intuitive, so this is one of the reasons why many people like to use mathematical modeling.
As we all know, mathematics is a tool, and mathematics is also widely used in other fields, such as physics, biology, chemistry and other fields, which can be used to mathematical modeling ideas, and it is this kind of thinking that solves many problems. <>
Students also have a lot of mathematical modeling competitions, in the process of this competition, students are also a good exercise of their modeling thinking, parents can also according to the student's hobbies, appropriate training of children's mathematical thinking, which is very helpful for his future learning. At the same time, it is very useful.
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I really don't know anything about mathematical modeling, I think these things are the kind of people with high education and high IQ need to understand, and people with simple brains like me can't understand this kind of problem.
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I don't know much about it, but mathematics is more complicated, and it takes some calculations to apply it to our daily life, which is more brain-burning.
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It is mainly based on the practical problem to establish a mathematical model to solve, according to the results to solve the practical problem.
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I have some simple understanding, which belongs to one of the mathematics, and I can win some awards by participating in this competition, and I can also increase my fame.
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What about the topic? What about the specific requirements?
Upload it quickly.。。。
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1. This is a very simple digital model problem, because it is not a multi-point multi-point multi-variety of supply and demand transportation, and the quantity is only based on the number of vehicles and the number of kilometers traveled, and because the number of transportation is not determined, it will prevail once, so that the following transportation task arrangement schedule is arranged to complete the task, so that the most economical ——
Scheduling schedule for transport tasks.
Name of goods|The starting point of transportation - loading point|End point - unloading point|Distance.
Kilometers |Number of Vehicles|Vehicle kilometres.
Timber — |—Station ——— construction site——|9——|4——|36—
Coal—|—Station——— Steelworks—|—5——|2——|10—
Consumables—|—Computer City ——— School——|4——|2——|8—
Rice—|—Grain and Oil Company——|School - |s1:—2—|—2——|4—
Rice—|—Grain and Oil Company——|School - |s2:—3—|—2——|6—
2. If the distance from the grain and oil company to the school is increased to 3 kilometers due to construction reasons, it will not affect the original transportation plan, but the transportation distance will be 1 km away, and the vehicle kilometer value will increase from 4 to 6. Note that the transportation of rice from the grain and oil company to the school is only started when the situation of S1 cannot be used due to construction reasons (S1 vs.
s2 does not occur at the same time; There is no s1, there is s2).
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Problem analysis is as crucial in mathematical modeling as the abstract, and when you write, you must explain the idea of the mathematical model you are going to use, just like solving a math problem, that is, writing your idea. Pay attention to the use of this expression, because the problem has not been solved, it is an idea, of course, when the real modeling, it is generally written last, and when writing, it is necessary to pay attention to the expression of problem analysis. I hope to adopt my own personal experience!!
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Hello, I've been doing mathematical modeling for two years.
**Problem analysis is mainly to write about what you think about this problem, what ideas you have, what ideas you have, briefly outline which models you use (not too detailed, because there is also a model building part) and how to think of these models, and try not to get results in the problem analysis (this is because your analysis process will not get results).
Actually, you can also expand the abstract to write, which is also possible, but it is not very good.
Good luck to the landlord.
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(1) Carry 8 days of food (with enough drinking water, a total weight of 20 kg), and establish a supply point at 8*40 km (storage 480 40-8) = 4 days of consumption);
2) If you consider that drinking water can be replenished from 200 kilometers away from the end point, you only need to carry (480-200)* kg of water from the starting point, and you can bring 20-9=11 kg of food accordingly, so you only need to supply 1 kg of food at 40 kilometers away from the end point; 6* kg of water in the middle of the way;
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How was the storage point built? I built it myself? Then the first point can only be built within 160km, right?
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is f(2-x)+f(x-2)=2, because the condition given in the question is f(x)+f(-x)=2, and if 2-x is regarded as x by commutation, then -x=x-2. Therefore, the first way to write it is correct.