Junior one math test paper

Fill in the blanks (2 points for each small question, 18 points)

1. When x=, the equation x+ 1=2 holds.

2. The solution of the equation -3x=3-4x is.

3. When x=, y 1=x+3 and y2=2-x are equal.

4. The difference between 3 times of x and 2 is equal to 4, and x=.

The circumference of a book is 68 cm, and the length is 6 cm more than the width. Let the width of the book be xcm and the length be cm, then by solving the equation, we can find that the width x= cm and the length is equal to cm.

6. The side of the pyramid is shaped.

7. Cut a cube as shown in the figure, and the resulting figure has a face.

8. As shown in the figure, Figure B is obtained from Figure A. ..

9. Two identical right-angled triangles (300) with equal sides can be spliced together to form a plane figure.

Second, multiple-choice questions (3 points for each question, 24 points)

10。 In the following numbers, () is the solution of the equation 2x- 1=5.

A.2 B.3 C.4 D.5

1 1. If x=-2 is the solution of the equation a(x+3)= a+x, then a2-+1= ().

17 b . 18 c . 19d . 20

12. It is known that A = 2 and B = X+ 1. If a? B= then x= ()

13.3x+ and 3(x-) are antonyms, so x= ().

A.-b-c-d-

14. The following figure turns around L and becomes a frustum of a cone ().

15. Rotate the left picture clockwise by 90 degrees around the O point, and the obtained figure is ().

16. The correct figure of a hollow cylinder viewed from three directions is (the dotted line indicates the invisible part) ().

17, which cannot be folded into a cube in the following figure is ()

Third, solve the equation (5 points for each question, 10)

18. 19

Answer the following questions (2 1-23, 4 points for each question, 6 points for 24 questions, 18 points).

20. On the grid paper, draw the other half of the graph with the dotted line as the symmetry axis.

2 1. On the square paper with the side length of 1, move the triangle 4 squares to the right.

22. Fill 1, 2, 3,-1, -2, -3 in the six squares in the figure, so that after the expanded figure is folded into squares along the dotted line, the two opposite numbers are opposite.

23. Draw the following picture from three directions (in centimeters).

V. Application questions (6 points for questions 25-27, 7 points for questions 28 and 29, 32 points)

24. The distance between Party A and Party B is 160km. One person rides a bicycle from Party A at a speed of 20km/h, and the other person rides a motorcycle from Party B at a speed of three times that of a bicycle. How many hours do they meet at the same time? Suppose xh meets, please use a line chart to show the total distance and their respective distances of the two cars. Equation solution is not required)

There are many books in Class One, Grade Seven. The number of books is 14, with more than 4 books per capita and less than 5 books per 26 people. How many students are there in this class? How many books are there? (Only write and solve set and column equations, not solve them)

26. A project needs to be completed within the specified time. If Party A works alone for 20 hours and Party B works alone for12 hours, and now Party A works alone for 4 hours, and the rest is done by both parties, what is the stipulated time? (Only write and solve set and column equations, not solve them)

27. Water supply companies charge water fees according to the following provisions. Each water consumption does not exceed 10T, and the charge per ton is 1.5 yuan; If it exceeds 10T per month, 2 yuan will be charged for the excess part per ton. Xiaoming's water fee in September is 22.8 yuan. How many t did Xiao Ming use in September?

28. A jacket is marked with a 50% increase in cost, and then sold at a 20% discount, generating profits in 28 yuan. How much is this jacket?

Attached reference answer:

1.22.33.-4.25.x+6，2 [x+(x+6)] = 68，x = 14，206。 Triangle, 7. 7,

8.Fold，9.6， 10.b， 1 1.c， 12.d， 13d， 14.c， 15.b，65448。

20. Omit, 2 1. Omitted, 22. Omitted, 23. Omit, 24. Omit, 25. Both equations can be listed, 26. Let the specified time be xh, 27. Let the domestic water consumption in September be XT, (x-10) × 2+10×1.5 = 22.8, x =13.9,28x (1+50%).

1. Multiple choice questions: (3 points for each small question, ***2 1 point)

Title 1 2 3 4 5 6 7

answer

Each question gives four answers, only one of which is correct. Please fill in the selected answer number in the answer sheet above, otherwise you will not get extra points.

1, given that the solution of equation 3x+a=2 is 5, then the value of a is

a、— 13 B、— 17 C、 13 D、 17

2. It is known that the circumference of an isosceles triangle is 63cm, and an equilateral triangle with one waist as its side is 69cm. Then the length of the base of the isosceles triangle is

A, 23cm b,17cm c, 2 1 cm d, 6cm

In 2004, after the Indian Ocean tsunami, Xiaohong opened her savings box, took out her pocket money and counted it. She found that 0 yuan and 2 yuan had 15 * * and * * 20 yuan money, so Xiaohong had 1 yuan and 2 yuan.

A, 5, 10 B, 10, 5 C, 8, 7 D, 7 and 8.

4, in the following figure, there are countless axis of symmetry is

A, equilateral triangle b, parallelogram c, isosceles trapezoid d, circle

5. For data 2, 2, 3, 2, 5, 2, 10, 2, 5, 2, 3, the following statements are true.

(1) mode is 2;

② The values of mode and median are not equal;

③ Median is equal to average;

(4) The average value is equal to the value of the mode.

a， 1 b，2 c，3 d，4

6, the following four regular polygons, with the same plane can't cover the graphics is

A, regular triangle b, square c, regular pentagon d, regular hexagon

7. During the SARS period, a pharmacy increased the price of a drug by 100% in the case of shortage of antiviral drugs in the market. After investigation by the price department, the price increase is limited to 10% of the original price, so the current price reduction of this drug is

a、45% B、50% C、90% D、95%

Fill in the blanks: (4 points for each small question, 32 points for * * *, please fill in the answer sheet)

Title 8 9 10 1 1

answer

Title12131415

answer

The solution of the equation is.

9. In the isosceles right triangle ABC, ∠A=90o, BC=6cm, BD divides ∠A BC by AC day d, and DE⊥BC by e, then the circumference of △CDE is _ _.

10. If the sum of the internal angles of a polygon is 1080o, the polygon is a polygon.

1 1. The speed of the ship sailing downstream is 20km/h, and the speed of the ship sailing upstream is12km/h, so the speed of the ship in still water is, and the current speed is.

12. In a basketball match, a main player threw 22 balls in one game, and 14 scored 28 points. In addition to three points, he also hit two points and three penalties.

13, given 2x-y = 3, then 1-4x+2y =.

14, as shown in figure 1, known as ∠ 1=80o, ∠F= 15o, ∠B=35o,

Then ∠A=, ∠DEA=.

(Figure 1)

15. The diagonal drawn by a vertex of a polygon divides this polygon into 10 triangles, so the sum of the internal angles of this polygon is.

Third, solve the following equations or equations (6 points for each small question, *** 12 points)

16、

17、

Iv. Answer questions (***55 points per hour 1 1)

18, the sum of the inner angles of a polygon is equal to 2.5 times the sum of the outer angles, and the number of sides of this polygon is found.

19. As shown in Figure 2, build a water pump station by the river to supply water to Zhang Cun and Lizhuang respectively. The pump station should be built by the river. Where can the water pipes be used the shortest? Draw a picture and explain why.

20. Fill the following figure (as shown in Figure 3) into an axisymmetric figure with the dotted line L as the axis of symmetry, and you will get a beautiful butterfly pattern.

(Figure 3)

2 1. As shown in Figure 4, in △ABC, AB=AC, D is the midpoint of AB, and DE⊥AB, it is known that the circumference of △BCE is 8, and AC-BC = 2. Find the length of AB and BC.

Figure 4

22. If the car speed is increased by 50%, it can arrive 1 hour earlier than the original time. If we arrive two hours earlier, how much faster will it be?

East China Normal University Edition Seventh Grade Next Final Exam 1

Reference scoring standard

First, multiple choice questions

1、A 2、B 3、B 4、D 5、A 6、C 7、A

Fill in the blanks: (* * 10 small questions, 2 points for each question, ***20 points, please fill in the answer sheet)

8、x=3，y =- 1； 9, 6cm 10, 8; 1 1, 16 km/h 4 km/h; 12、8 13、-5; 14、45? 85? ; 15、 1800? ;

16, solution: x=

17, solution: x= y=

Four, 18, heptagon

19, prompt: Make Zhuang Li's symmetrical point about the river, and connect the symmetrical point with Zhang Cun, then the intersection of the connecting line and the river is what you want.

20, omitted

2 1、AB=5、BC=3 .

22、50%。

The first chapter rational number unit standard test paper

Class _ _ _ _ _ _ _ Student ID _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

1. Fill in the blanks: (3 points for each small question, ***24 points)

1. The height of the submarine in the sea is-30m. At this time, it is observed that an animal is located 30 meters below the submarine, so the height of this animal at the bottom of the sea is _ _ _ _ _ _ _.

2. The reciprocal of is _ _ _ _ _, and the reciprocal is _ _ _ _ _ _.

3. The distance between two points belonging to both sides of the origin and equal to the origin on the number axis is 5, so the number represented by these two points is _ _ _ _ _ _ _ _.

4. The temperature of the main peak of Huangshan Mountain is-1℃ in the morning, rising by 8℃ at noon and falling by 10℃ at night, so the temperature of the main peak of Huangshan Mountain at night is _ _ _ _ _ _ _.

China's land area is about 9.6 million square kilometers, which is written as _ _ _ _ _ _ by scientific notation.

6. The thickness of a piece of paper is 0. 1 mm, and if it is folded in half 10 times, its thickness is _ _ _ _ _ _ mm. 。

7. If, then = _ _ _ _ _.

8. Observe the numbers in the following column and fill in the appropriate numbers on the horizontal line according to the law, _ _ _ _ _ _ _ _ _ _.

2. Multiple choice questions: (3 points for each small question, *** 18 points)

1. The following statement is true ()

The reciprocal of ① is-3.14; ② Numbers with opposite signs are opposite to each other; ③ The reciprocal of-(-3.8) is 3.8; (4) A number and its opposite number cannot be equal; ⑤ Positive numbers and negative numbers are opposites.

A.0 B. 1 C.2 D.3

2. The following calculation is correct ()

A.； b； c； D.

3. As shown in the figure,, and represent rational numbers, so the order of and is ().

A.B.

C.D.

4. In the following formula, the minimum value is ().

A.； b； c； D.

5. Calculated by a calculator, the key sequence is correct ().

A.B.

C.D.

6.If，and，then()

A.； b； C. the number is different; D, with different signs, the sum and absolute value of negative numbers are small.

3. Calculate the following questions: (4 points for each small question, *** 16)

1.； 2.；

3.； 3.；

4. Solve the following problems: (6 points for each small question, ***42 points)

1. calculation; 2. calculation;

3. Represents the number on the axis: -2, with "

4. A stockholder holds a stock 1 1,000 shares, and the opening price at 9: 30 am is 10.5 yuan/share. 1 1:30, 0.8 yuan rose, and closed at 15:00 in the afternoon, while the share price fell by 0.9 yuan. Please calculate the shares held by this shareholder.

5. The value of: is known.

6. In physical education class, all the boys in the class took the 100 meter test, and the standard score was 15 seconds. The following table shows the remarkable achievements of 8 boys in a certain group, in which "+"means that the achievements are greater than 15 seconds.

-0.8 + 1 - 1.2 0 -0.7 +0.6 -0.4 -0. 1

Q: (1) What is the success rate of boys in this group? ( )

(2) What is the average score of this group of boys?

7. Please read the following set of contents before answering the questions:

Because:

So:

Question:

Calculation: ①;

② 。

answer

I. 1。 -60m 2. 1，3.4。 -3℃

5.6. 102.4mm 7。 0 8.,