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Junior one (seventh grade) Volume II Mathematics Unit 8 Examination Paper
Su Jiaoban Junior One (Grade Seven) Volume II Mathematics Unit 8 Examination Paper

(Examination time 100 minute, full mark 100 minute)

Precautions:

1. Before answering questions, candidates must fill in their names, test center names, test center numbers and admission ticket numbers at the corresponding positions on the sealed line:

2. Please answer the questions with a black pen in neat font:

3. Answering questions on test papers and draft papers is invalid.

1. Multiple choice questions: (There are *** 10 questions in this question, with 3 points for each question and 30 points for each question. Please fill in the correct options in the corresponding form).

The reciprocal of 1 and -4 is

a4 B- 4c

D.-

?

2. Calculate the knot of -(-5)

The fruit is a.5 B.-5 C.

D.-

3. Simplify 5(2x-3)+4(3-2x), and the result is

a . 2x-3 b . 2x+9 c . 8x-3d . 18x-3

4. The following items are not the same.

A.0 and

B.5x and 2y C

A2b and 32B

D.-2x2y2 and

x2y2

5. Inequality 2x-2 >;; The solution set for 0 is

A.x & gt 1 b . x- 1d . x & lt; - 1

Class 6.7 (1) gave notebooks as prizes to several three-good students. If each Miyoshi student sends three copies, there will be 1 copy left. If each miyoshi student sends four copies, there will be two less copies. How many notebooks are there? If * * * has x notebooks, the equation listed is

A.

B.

C.

D.

7. The top view of the geometric figure as shown in the figure is

8. In the following four figures? 1 and? 2 is the vertex angle of the graph, that is

?

9. As shown in the figure, it is known that the line segment AB= 12cm, the point N is on AB, NB=2cm, and M is the midpoint of AB, so the length of the line segment MN is A.5cm B.4cm.

3 cm long and 2 cm wide.

10, and the positive integers 1, 2, 3, 4 are arranged as follows.

According to the arrangement law, the arrows from 20 10 to 20 12 are as follows

A.B. C. D。

Fill in the blanks: (This topic is entitled * *10 small questions, with 2 points for each small question and 20 points for each small question. Please fill in the correct answers on the corresponding lines. )

1 1. According to scientists' estimation, the age of the earth is about 460,000,000 years, which is expressed as _ _ _ _ _ by scientific notation.

12, the positions of corresponding points of real numbers A and B on the number axis are shown in the right figure.

Then a _ _ _ _ _ b (fill in? & lt? 、? & gt? Or? =? ) [Source: Learning? Branch? Net]

13, when a=2, the value of the algebraic expression 5a- 1 is _ _ _ _ _.

The coefficients of 14 and the monomial -3xy are _ _ _ _ _.

15, if inequality (m-2) x >; The solution set of 2 is X.

The range of m is _ _ _ _ _.

16, it is known that x=3 is the solution of equation 3x-2a=5 about x, so the value of a is _ _ _ _ _ _.

17, calculate 33? 52'+2 1? 54'=_____

_ _. (Results are expressed in degrees)

18, as shown in the following figure, points C and D are on line AB, AC=BD, if AD=8 cm, BC = _ _ _ _ _ _.

19. It is known that the complementary angle of an angle is equal to 155? , then the complementary angle of this angle is equal to _ _ _ _ _? .

20. A single tent needs 17 steel pipes, as shown in the figure (1). If such tents are strung together as shown in Figure (2) and Figure (3), stringing eight such tents requires _ _ _ _ _ steel pipes.

Three. Solution: (This question is entitled ***8, with ***50 points, and the necessary calculation process, reasoning steps or text description should be written when answering).

2 1, calculation (8 points for this question, 4 points for each small question)

( 1)

(2)

22. (The full mark of this question is 8) We define a new operation: a*b=2a-b+ab (the right side of the equal sign is usually

Meaning) operation:

(1) calculation: the value of 2 *(3);

(2) Solving the equation: 3*x=

*x。

23. (4 points for this question,)

Addressing inequality:

x- 1 & gt; 2x, and

Represents the solution set on the number axis.

24. (6 points in this question) As shown in the figure, B and C are on the line segment AD.

At any two points, m is the midpoint of AB and n is the midpoint of CD.

(1) If MN= 10cm and BC=4cm, find the length of the straight line AD.

(2) If MN=a and BC=b, find the length of the line segment AD.

25. (6 points in this question) Shengze has three companies, A, B and C, which invested in Wenchuan to run a Hope Primary School. The funds are different, and Company A paid all of them.

Company B.

A, C and two companies.

It is known that the contribution of Company C is 1.6 million yuan. What is the total capital of this Hope Primary School, and how much did Company A and Company B contribute? 26. (6 points in this question) As shown in the figure, the straight line AB and CD intersect at D, OE? AB,OF? CD,

(1) and then what? COE complementary angle is _ _ _ _ _ _ _ _;

(Write down all qualified corners)

(2) What if? AOC=

EOF, please? Degree of AOC.

27. (6 points in this question) The picture shows the surface of a packaging box.

(1) The name of this geometry is _ _ _ _ _ _.

(2) Draw three views of this geometry.

(3) Find the surface area of this geometry. (? Take 3. 14)

28. (6 points for this question) Draw a number axis and think about it.

(1) It is known that the point sum of 3 is represented on the number axis.

The distance between points of 8 is 5 units, and there is such a relationship that 5=

, then the distance between the point representing the number -4 and the point representing the number 6 on the number axis is _ _ _ _ _

Unit; (2) It is known that the point representing the number -3 and the point representing the number 5 on the number axis have the same distance, representing the number m, and there is m=

(-3+5), then the number represented by the point with equal distance between the point representing the number A and the point representing the number B on the number axis is _ _ _ _ _ _ _ _ _;

(3) It is known that the distance from the point representing the number X to the point representing the number -2 on the number axis is twice that of the point representing the number 4, so find the number X. 。

?

?