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On the examples and examples of the area problems of quadratic equation of one variable It is an application problem of area of quadratic equation of one variable!
A village plans to build a rectangular vegetable greenhouse as shown in the figure. The ratio of length to width is required to be 2:1. In the greenhouse, 3M wide open space is reserved along the front inner wall, and 1m wide passage is reserved on the other three inner walls. When the length and width of the rectangular greenhouse are different, the area of vegetable planting area is 288 square meters? If the width is a meter, the length is 2A meters
Several mathematical problems, with the method of solving quadratic equation of one variable
1、3-27x²=0
2、4（1-x）²-9=0
3、x²-5x+6=0
4、8x²-2=4x
Solving quadratic equation with one variable by collocation method
1、3-27x²=0 x^2=9 x=3 x=-32、4（1-x）²-9=0 (1-x)^2=9/4 1-x=+-3/2 x=5/2 x=-1/23、x²-5x+6=0 (x-2)(x-3)=0 x=2 x=34、8x²-2=4x 8x²-4x-2=0 4x²-2x-1=0 4x²-...
How to solve the mathematical problem of quadratic equation with one variable?
To match a photo frame with a length of 29cm and a width of 22cm, the width of the four sides of the frame should be equal, the area of the frame should be one fourth of the photo area, and the width of the edge of the frame should be how many centimeters (the result retains one decimal place)? What I want is the process
According to the standard steps, it's better to have analysis-
First solution: let-------
If the edge width of the frame is x cm, the frame length is 29 + 2x and the frame width is 22 + 2x, so the frame area is (29 + 2x) (22 + 2x) - 29 * 22 = 29 * 22 / 4, that is 638 + 58x + 44x + 4x ^ 2-638 = 319 / 2, that is 8x ^ 2 + 204x-319 = 0, so x = (- 204 + radical 51824) / 16 = 1.5cm, or = (- 204 - radical 51824) / 16 (negative number, rounding off)
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- 1. A mathematical problem to list equations In the third day of junior high school, each group sent a photo to others, and the whole group sent a total of 90 photos. Suppose there are x people in this group. According to the meaning of the question, we can get the equation We need reasons, but we don't need answers
- 2. A road repair team built 215 full-length roads on the first day and 12 full-length roads on the second day. At this time, there are still 1800 meters to reach the midpoint of the road. How long is the road?
- 3. If the speed of trains on Shanghai Nanjing line is increased from 120 km / h to 160 km / h and the time from Shanghai to Nanjing is reduced by 40 minutes, how many km are there on Shanghai Nanjing line?
- 4. Uncle Wang bought a total of 14kg of 120 yuan 1kg black tea and 160 yuan 1kg green tea, sharing 2080 yuan: how many kg did he buy each of the two kinds of tea?
- 5. Column equation solution application problem, is about chicken and rabbit with cage First, there are 40 chickens and rabbits, and 100 feet. How many chickens and rabbits are there
- 6. Mathematical solution to the equation A tea is 128 yuan per kilogram, B tea is 98 yuan per kilogram. The two kinds of tea are 12 kg in total. It costs 46 yuan less to buy a tea than B tea. How many kg of each kind of tea do you buy?
- 7. In mathematics, the problem of chicken and rabbit in the same cage should be solved by equations Several chickens and rabbits are kept in the same cage. There are 6 heads and 18 legs of known chickens and rabbits. How many chickens and rabbits are there?
- 8. There are 20 heads and 54 legs in the same cage. How many chickens and rabbits are there? What about the fairies? We'll meet tomorrow. Let me know!
- 9. Chickens and rabbits in the same cage, a total of 100 heads, 272 legs, how many chickens and rabbits each? The reason should be explained clearly
- 10. There are 20 heads and 54 legs in the same cage. How many chickens and rabbits are there?
- 11. A solution to an applied problem of quadratic equation of one variable There are 100 fruit trees with an average of 1000 fruits per tree. If there are more than one tree, each tree will produce two less fruits. How many trees should be planted in order to increase the yield by 15.2%
- 12. Wang Ma went to the vegetable market to buy pork, and the vendor weighed her 4 jin. Wang Ma suspected that the vendor's scale was not accurate. She added her own 100 g weight into the scale and asked to weigh it again. The result was 4.25 Jin. How many liang of pork should the vendor supply Wang Ma?
- 13. 1. After a batch of goods are transported away, 800 tons are left, which is a quarter more than the remaining goods. How many tons more than the remaining goods? How many tons? 2. The ground of a cuboid becomes 7 cm square in time, its side area is 504 cm square, and its volume is multi scan cubic centimeter? 3. There is a cuboid wood block 14 cm long, 9 cm wide and 4 cm high. The worker can cut it into the largest cuboid wood block (regardless of the loss of the saw) What's the volume of a small wooden block raised here? What's the volume of a small block of wood? What is the surface area of the far cuboid? What is the surface area of the remaining part after cutting out the first block? How many cubes can you combine? The road construction team plans to build 4000 meters of roads, three quarters of which have been built. How many kilometers have they built and how many meters have they drunk? A bucket of water, using three quarters of his, is exactly 15 kg. How many kg of water is there?
- 14. A and B planes fly from two airports 750 km apart at the same time and arrive at the same Midway Airport for half an hour. If the speed of a plane is 1.5 times that of B plane, what is the speed of B plane?
- 15. Find the formula, not the equation 1. A bowl of rice, the first day was stolen by the mouse more than 1 / 5 of 16 kg, the next day was stolen by the mouse the remaining 1 / 3 less than 4 g, there are 260 g, the original bowl of rice how many grams? 2. A pile of apples to four people, a took 1 / 6 of them, B took the remaining 2 / 5, C took the remaining 3 / 4, D took the last 15, How many apples are there in this pile? 3. There are several tons in the coal yard. Half of them are transported in the first day, 450 tons are transported in the second day, and half and 50 tons are transported in the third day. As a result, there are 600 tons of coal left. How many tons of coal are there? The first mouse stole more than 1 / 5 of 16 grams, which was not a typo.
- 16. There are 180 peach trees and pear trees in the orchard. It is known that the number of peach trees is just four times that of pear trees. How many of the two kinds of fruit trees are there? If the first condition in the above question is changed to "there are 108 more peach trees than pear trees planted in the orchard", how to solve the equation?
- 17. Ask parents a math problem, you can use equation or arithmetic, equation with a dollar, death of human! The school bought the same amount of football and basketball, and later bought 20 football, 15 basketball, this is basketball less than football 1 / 16, ask: now football and basketball how many?
- 18. Let's take the formula instead of the solution of the equation 1. For a project, Party A and Party B work together for 8 days. Now, Party A and Party B work together for 5 days, and the remaining party a work alone for 6 days. How many days does it take for Party A and Party B to complete the project separately 2. Buy back a batch of basketball, volleyball and football. It is known that basketball accounts for 25% of the total. Football is 40 more than basketball. The ratio of volleyball and football is 3:2. How many balls are there in total 3. Cut a cube wood block with an edge length of 90cm into a cylinder with the largest volume. What is the volume of this cylinder? If it is cut into a cone with the largest volume 4. The roller is a cylinder with a width of 1.5m. The radius of the cross section of the roller is 10 decimeters. How many square meters of road can be rolled in 15 minutes based on rolling 8 circles per minute 5. The passenger car and the freight car drive from ab at the same time. When the two cars meet, the passenger car takes 70% of the total length. The freight car is 400 kilometers away from the midpoint. It takes 20 hours for the passenger car to complete the whole journey. How many kilometers does the passenger car walk per hour
- 19. Xiao Ming's birthday is on May 23, and my birthday will be 100 days later. What month is my birthday
- 20. 1. A factory plans to produce a batch of parts. It completes three seventh of the plan for the first time, one half of the plan for the second time, and 450 parts for the third time. The result is more than one fourth of the plan. How many parts are planned to produce? 2. Boys in Grade 5 account for five ninth of the total number of people in the whole year, and the ratio of boys to girls in Grade 6 is 4:5, The number of girls in the two grades is the same. How many boys are there in the two grades? 3. The number of students in the first grade of Yuhong primary school is two-thirds of the total number of students in the second and third grades, and the ratio of the number of students in the third grade to the total number of students in the first and second grades is 1:4. There are 120 students in the second grade, and how many students are there in the first and third grades?