It is not difficult to fill in the blanks by carefully examining the questions.
The scale of (1) is divided into () and ().
(2) On a map, the actual distance 18km is represented by a line segment of 3cm, and the scale of this map is ().
(3) The scale of the floor plan of a teaching building is 1/200, that is, the actual distance is () times the distance on the map.
4. Turn your head and choose all the answers.
(1) The actual length of electronic parts is 2 mm, and the length drawn on the drawing is 4 cm. The scale of this picture is ().
A. 1:20 b . 20: 1 c . 2: 1d . 1:2
0 60 120 180 240 km
(2) The line segment scale on the map is, and the numerical scale it represents is ().
a . 1/6000000 b . 1/ 12000000 c . 1/ 18000000d . 1/24000000
● Find the actual distance
I know the answer.
(1) On the map with the scale of 1: 6000000, the distance from Chongqing to Shanghai is 24 cm. What is the actual distance from Chongqing to Shanghai?
(2) On the map with the scale of11000, it is measured that the building foundation is 8 cm long and 5 cm wide. What is the actual length and width of this house?
I am a little judge, and I will judge right and wrong.
(1) The actual distance must be greater than the distance on the map. ( )
(2) On the drawing with the scale of 10: 1, the 2 cm line segment indicates that the actual length of the part is 20 cm. ( )
● Find the distance on the map.
I am the best in the knowledge challenge.
(1) The actual distance is 240 kilometers. How many centimeters should I draw on the map with the scale of 1: 8000000?
(2) Rectangular playground, length160m, width120m. If you draw on a map with a scale of 1/4000, how many centimeters should you draw in length and width?
Flexible use of knowledge points, show your style!
Example 5 change, practice with your brain.
On the map with the scale of 1/5000, the plan of a school is measured to be 6 cm long and 4 cm wide. How many square meters does this school actually cover?
The following is the foundation plan of a school teaching building. Please measure the length and width on the floor plan, and then calculate the actual length and width of the foundation of the teaching building and the construction area of the teaching building. (The graphic information cannot be displayed, so the graphic information is 3cm in length, 1.5cm in width and 1: 1500 in scale).
● There are many changes in a topic, so you need to use your brain to solve it.
On the map with the scale of 1: 600000, the distance from Nanjing to Beijing is 15cm. If the distance from Nanjing to Beijing is drawn on a map with the scale of 1: 5000000, how many centimeters should it be drawn?
On the map, a distance of 5cm indicates that the actual distance is 1500km. On this map, the distance between A and B is 3.5 cm. What is the actual distance between a and b? How many centimeters is the 640 km expressway on this map?
Expand the world, enter the new world and exert your potential!
● Mathematics around you
⒑ On the map with the scale of 1: 5000000, the distance between Shenyang and Chongqing is 6 cm. If two cars, A and B, leave from two places at the same time, the speed of A car is 48 kilometers per hour and that of B car is 42 kilometers per hour. Two cars will meet in a few hours.
On the map with the scale of 1: 2000000, the distance from Jinan to Yantai is 3.6 cm. If the bus leaves Jinan at 9: 00 a.m. and the speed is 30 kilometers per hour, when will it arrive in Yantai after this distance?
Low divergent thinking
5] Xiao Dan measured the length and width of his house plan with the scale of1100 on the house design. Xiao Dan's father will lay 0.8m-long floor tiles on the floor of the house. How many such tiles do you need? If each floor tile needs 12 yuan, how much does Xiao Dan's family need to buy a floor tile?
Application problem 1
(1) This fruit shop can import 390 kilograms of apples, bananas and pears a day. The weight of apples is 1.5 times that of pears, and the weight of bananas is 3/4 of that of pears. How many kilograms of each of the three fruits?
(2) One pot of water used 1/2 and 5 barrels, leaving 30%. How many buckets of water are there in this water tank?
(3) There is a square wood, the fast side is 20 cm long, and it is planed into a cylinder with the largest diameter at the bottom. What is the volume of wood planed out?
(4) The length of a steel pipe is10m. Cut off 7/ 10 for the first time, and cut off the remaining 1/3 for the second time. How many meters are left?
(5) Assemble radios in two groups. Group A assembles 50 radios every day, and completes 10% of the total task on the first day. At this time, Group B began to assemble 40 radios every day. How many days did it take Group A to complete these tasks?
(6) After the highway is built, the total length is 2/3, and the distance is16.5km.. What is the total length of this highway?
(7) The master and the apprentice made a batch of parts together, and the apprentice made 2/7 of the total, 2 1 less than the master. How many parts are there in this batch?
(8) Two teams build a highway. Team A builds 65438+ 0.5 of the total length every day, and Team B works alone for 7.5 days. If the two teams work together for two days, the rest will be repaired by team B alone. How many days will it take?
Application problem 2
(1) There are two baskets of fruit. The fruit in the first basket weighs 32 kilograms. After taking out 20% from the second basket, the weight ratio of the two baskets of fruits is 4:3. How many kilograms were there in the original two baskets of fruit?
(2) It is planned to install 120 TV sets. If you install 8 TV sets every day, you can finish the task one day in advance and four days in advance, then how many TV sets should you install every day?
(3) The distance between Party A and Party B is 1 152km, and a bus and a truck leave both places at the same time. Trucks run 72 kilometers per hour, 2/7 faster than buses. How many hours did it take for two cars to meet?
(4) The school bought a batch of books and distributed them to all classes. If each class is divided into 25 books, there will be 22 more books. If each class is divided into 30 books, there will be 68 books missing. How many classes are there? How many books did you buy?
(5) The fruit company stores a batch of apples, and after selling 30%, it delivers 160 boxes, which is more than the original apples110. How many boxes of apples are there?
(6) The greening team rebuilt the garden in the center of the street and used it in 900 yuan. Compared with the original plan, it saves 300 yuan and a few percent. & lt/P & lt； p & gt
(7) A road construction team built a road, originally planned to build 200 meters a day, but actually built 50 meters more every day. As a result, the task was completed three days ahead of schedule. What is the total length of this road?
(8) There is a rectangular ingot with a circumference of 2m at the bottom and an aspect ratio of 4: 1, which is 25% less. Can be cast into a cone with a height of 3 meters. What is the bottom area of the cone?
There are several two-wheeled motorcycles and four-wheeled cars parked in the garage. The ratio of the number of cars to the number of wheels is 2: 5. What is the ratio of two-wheeled motorcycles to four-wheeled cars?
Make a wooden cover with a diameter of 0.95 m for the water tank, and the diameter of the wooden cover is 5 cm larger than the cylinder mouth. What is the area of the wooden cover? If a circle of iron sheet is nailed to the edge of the wooden cover, how long is the iron sheet?
6。 Chickens and rabbits live in the same cage, with 46 heads and 172 legs. How many chickens and rabbits are there?
There is a wonderful way to solve problems with whimsy. Come and master it!
Si Qi: As shown in the figure, it is known that the area of the enclosed area surrounded by three semi-circular arcs with the radius ratio of 1: 2: 3 is 108∏ cm2, so what is the circumference of this area? (The answer is the simplest form with ∏) (Examination questions of the 12th Seedling Cup Mathematics Invitational Tournament)
Brilliant idea: Let the radii of three semicircles be x cm, 2x cm and 3xcm respectively, then its peripheral area can be expressed as 1/2∏×(3x)? - 1/2∈×(2x)？ + 1/2∈×x？ =9/2∏x？ -2x？ + 1/2∏x？ =3∏x？ (square centimeter), then we get equation 3∏x? = 108∏ and x=6 cm, then the perimeter of this area is ∏× (6× 3+6× 2+6) = 36 ∏ cm.