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Beijing normal university printing plate seventh grade second volume mathematics unit 6 review questions
Chapter VI Unit Testing of Relationships among Variables

1. Which of the following pictures can show the process of cutting potatoes?

A b

C D

Xiaoming walks from home to the station and goes to school by bus every day. Which of the following pictures can reflect the situation that he walked first and then took the bus?

A b

3. As shown in the figure, it shows the situation after Party A and Party B started from the same place. By ten o'clock, A had walked about 13 kilometers. Look at the picture and answer:

A when does it leave?

(2) When did B leave? By ten o'clock, how many kilometers had he walked?

(3) Who is faster before ten o'clock?

(4) When did they last meet?

(5) Can you get information from the image and make up a story?

4. The table below shows the change of water level in a port within 24 hours. The water level fluctuates with the tide.

Time (hours) 0 1 234 5678

Water depth (m)10.1.1.513.214.515.516.2/kloc.

Time (hours) 910121314151617.

Water depth (m)12.91.410.310.01.414.

Time (hours)1819 202122 23 24

Water depth (m)16.015.614.313.010.710.2.

(1) When is the water level deepest? For what?

(2) When is the water level shallowest? For what?

(3) In what time period, the water level changes the fastest?

Draw a picture and describe what you see? What scale are you going to use? Do you think the whole class will use the same scale?

The mayor of a city and his advisory group tried to persuade a company to build a factory in this city. They told the boss that the population of this city is growing rapidly and can provide a large number of skilled workers for the company. However, an environmental organization thinks that the company has air pollution and water pollution problems, so they told the boss of the company that the population of this city is not growing as fast as the mayors said. Finally, the company sent someone to personally investigate the situation. Finally, three groups of people made a picture respectively.

(1) shows that the above three pictures were made by the mayor and others.

(2) Do these three pictures correctly represent the population growth of this city? Why?

6. Which of the following four pictures best represents the relationship between people's height and age? State your reasons. If you don't think any picture can represent this change, draw a picture and explain it.

This is a chart about temperature, which is drawn according to the data collected by the student tour group from place A to place B. ..

A. What two variables does this chart represent?

B. draw a table according to the picture.

C. What's the difference between the lowest temperature and the highest temperature on this day?

D. during which time period does the temperature rise fastest? The fastest decline?

E. According to the table or chart, which method is easier to answer question C? Why?

F. according to the table or chart, which method is easier to answer question d? Why?

8. The following is the weekly box office income of a popular movie in the first eight weeks after its release (unit: million yuan).

Theater weekly broadcast 1 234 5678.

Weekly income (ten thousand yuan)1622181274331

(1) Explain how the weekly box office income of this film changes with time and why these changes occur.

(2) What is the total box office income of this movie in eight weeks?

(3) Explain how the total box office revenue of this film changes with time and why there are these changes.

Xiaoying is a middle school student. She drew a chart to show the change of her hunger and satisfaction, but she forgot to write her name on the chart.

a.

b.

The following is a description of the changes of these two variables in one day. According to these descriptions, judge which picture represents the relationship between time and hunger and which picture represents the relationship between time and satisfaction, and explain the reasons.

Hunger: Xiaoying was very hungry after getting up in the morning and had a big breakfast. She was hungry again before lunch 1 1: 45. After school, she ate some snacks before playing basketball, but when she got home, she still had a good appetite. After dinner, Xiaoying felt full and didn't eat anything before going to bed.

Satisfied: Xiaoying was in a good mood when she got up, but she was in a bad mood because her brother soiled the bathroom. She told a boy that she liked to take the early bus. Xiaoying likes having morning classes, but she gets bored before lunch. At lunch, she sat with her friends and told jokes. She likes computer classes after lunch, but she doesn't like other classes in the afternoon. After school, Xiaoying had a good time on basketball. Do homework and some trivial things in the evening.

Reference answer

1、d

2. A.

3、 ( 1)8:00

(2) 9: 00, about 13km.

(3) B is faster.

(4) 1 1:00

4.( 1)6 o'clock,16.2m.

(2) 12 points,10.0m.

(3) From 14 to 15,1.7m.

(4) ellipsis.

5. (1) A. Figure A seems to be the steepest straight line with the fastest change.

(2) Every picture is correct. Because the population in a certain year in each picture is the same.

6. None of the pictures is correct.

7, (a) reflects the relationship between time and temperature.

(b) Omit

(c) A temperature difference of 30 degrees Fahrenheit

(d) Within half an hour and 2.5-3.5 hours, the temperature drops the fastest; The temperature rises fastest 0.5-2.5 hours after the departure of 65438+.

(e) Omission

(f) Omission

8, (1) omitted

(2) 83 million yuan.

(3) Omission

9. Figure A reflects hunger and Figure B reflects satisfaction.