I have encountered such a problem in real life:

Two advertisements were reported in the newspaper. There are prizes for sale in a commercial building: first prize 10000 RMB 1, first prize 1000 RMB 2, second prize 100 RMB 10, third prize 200 5 yuan, and 15% discount for second-class commercial buildings. Please think about it; Which sales method is more attractive? Which commercial building is of great benefit to consumers?

We can't see the problem at a glance. So we made a random survey first. Taking the whole group 16 students as the survey object, 8 of them are willing to go to A's home, 6 like to go to B's home, and 2 think they can go to both. The survey results show that the sales model of a shopping mall is more attractive, but is this the case?

In practical problems, there is no limit to the turnover of each group of prize-winning sales and the number of people participating in the lucky draw. So we think there should be several answers to this question.

1. Kujia Commercial Building has determined that awards should be given to each group. When the number of participants is small, less than 213 (112+10+200 = 213), people will think that the chances of winning the prize are greater and a sales model of a commercial building will attract customers more.

Second, if the volume of each group of a commercial building is large, then the preferential margin it gives customers is correspondingly small. Because the preferential amount provided by a commercial building is fixed, * * 14000 yuan (10000+2000+1000 =14000). Assuming that the discount offered by two commercial buildings is 14000 yuan, the turnover of the second commercial building can be 280000 yuan (14000 ÷ 5% = 280000).

So from this point of view:

(l) When the turnover of the two commercial buildings is 280,000 yuan, the two commercial buildings will give the same amount of preferential treatment.

(2) When the turnover of both shopping malls is less than 280,000 yuan, the discount of shopping mall B is less than10.4 million yuan, so the discount provided by shopping mall A is still10.4 million yuan, which is a big discount.

(3) When the turnover of both companies exceeds 280,000 yuan, the discount of the second commercial building exceeds 14000 yuan, while the discount of the first commercial building remains at 14000 yuan, and the second commercial building provides great benefits.

Problems like this can be seen everywhere in our daily life. For example, there are two liquefied gas stations. It is known that the quality and quantity of each bottle of liquefied gas are the same, and the initial price is the same. In order to win more users, the two stations have introduced preferential policies respectively. The method of Station A is 25% off sales, and the method of bilibili is 30% off sales to customers after the second ventilation. The preferential period of both stations is one year. As a user, which one should you choose?

This question is very similar to the last one. As long as you analyze and discuss how many cans you need, the problem will be solved.

With the gradual improvement of market economy, economic activities in people's daily life are becoming more and more colorful. Trading, deposits and insurance, stocks and bonds, ... all come into our lives. At the same time, mathematics, profit ratio and proportion, interest and interest rate, statistics and probability are all related to this series of economic activities. Operations research and optimization, as well as system analysis and decision-making, will all become "guests" in mathematics courses.

Learning mathematics should be used in real life. Mathematics is used by people to solve practical problems. In fact, there will be math problems in life. For example, when you go shopping, you will naturally use addition and subtraction, and you always have to draw pictures when you build a house. There are countless problems like this, and this knowledge comes from life and is finally summed up as mathematical knowledge, which solves more practical problems. I once saw a report that a professor asked a group of foreign students, "How many times will the minute hand and the hour hand overlap between 12 and 1?" Those students all took off their watches from their wrists and began to set hands; When the professor tells the same question to the students in China, the students will use mathematical formulas to make calculations. The commentary said that it can be seen that China students' mathematical knowledge is transferred from books to their brains, so they can't use it flexibly. They seldom think of learning and mastering mathematics knowledge in real life. From then on, I began to consciously connect mathematics with daily life. Once, my mother baked a cake, and two cakes could be put in the pot. I thought, isn't this a math problem? It takes two minutes to bake a cake, one minute in front and one minute in the back. At most, two cakes are put in the pot at the same time. How many minutes does it take to bake three cakes at most? I thought about it and came to the conclusion that it takes 3 minutes: first, put the first cake and the second cake into the pot at the same time, 1 minute later, take out the second cake, put the third cake and turn the first cake over; Bake again 1 min, so that the first cake is ready. Take it out. Then put the reverse side of the second cake on it, and turn the third cake upside down at the same time, so it will be all done in 3 minutes. I told my mother about this idea, and she said, actually, it won't be so coincidental. There must be an error, but the algorithm is correct. It seems that we must apply what we have learned in order to make mathematics serve our lives better. Mathematics should be studied in life. Some people say that the knowledge in books has little to do with reality now. This shows that their knowledge transfer ability has not been fully exercised. It is precisely because they can't understand it well and apply it to daily life that many people don't attach importance to mathematics. I hope that students can learn mathematics in their lives and use mathematics in their lives. Mathematics is inseparable from life. If they study thoroughly, they will naturally find that mathematics is actually very useful.