The first volume (multiple choice questions ***48 points)

Precautions:

The first volume is a multiple-choice question. After choosing the answer for each question, blacken the answer label of the corresponding question on the answer sheet with 2B pencil. If you need to change it, clean it with an eraser, and then choose another answer label. The answer written on the test paper is invalid.

I. Multiple-choice questions (This big question has a total of * *12 small questions, with 4 points for each small question and 48 points for * * *. Only one of the four options given in each small question meets the requirements of the topic. )

1. The following are the logo diagrams of four kinds of cars, among which the axisymmetric diagram is

1。

2. The result of expressing the number 0.000043 by scientific notation is as follows.

A.4.3？ 10-4 B.4.3？ 10-5 C.4.3？ 10-6 D.43？ 10-5

3. The binary linear equation with solution is

A.B. C. D。

4. As shown in the figure, the vertex A passing through △ABC is the height on the side of BC. The following is correct.

A.B. C. D。

5. The following calculation is correct ()

A.a2？ a3=a5 B.a2+a3=a5 C.(a3)2=a5 D. a3？ a2= 1

6. As shown in the figure, AB∨CD is known, if? A=25？ ,? E=40？ And then what? C equals

.40 caliber? B.65？ C. 1 15？ D.25？

7. As shown in the figure, AD is the bisector of △ABC, and point O is on AD, OE? BC is at point e, BAC=60？ ,

? C=80？ And then what? The degree of EOD is

.20 caliber? B.30？ C. 10？ D. 15？

8. Calculate (13)0? The result of 2-2 is ()

a . 43 B- 4 c-43d . 14

9. Xiaoming accidentally broke a triangular glass into three pieces, as shown in Figures ①, ② and ③. He wants to go to the glass shop to match a glass of the same size and shape. Do you think he should take it with him?

A. 1b.2c.3d.① and ②

10. As shown in the figure, in △ABC,? BAC= 100？ , DF and EG are the perpendicular lines of AB and AC respectively, then? DAE equals

.50 caliber? B.45？ C.30？ D.20？

1 1. Of the following operations, the correct one is

A.(x+2)2=x2+4 B.(-a+b)(a+b)=b2-a2

C.(x-2)(x+3)=x2-6 D.3a3b2？ a2b2=3ab

12. As shown in the figure, in △ABC, p is a point above BC, P R? AB, the vertical foot is r, PS? AC, vertical foot is s, AQ=PQ, PR=PS. The following three conclusions: ① As = Ar; ②QP∑AR； ③△BRP?△CSP。 What is correct is that

A.① and ②

B.② and ③

C.① and ③

D.①②③

Volume 2 (non-multiple choice questions * * 102)

Precautions:

1. Volume 2 is a multiple-choice question. Candidates should use a blue-black pen (signature pen) or a ballpoint pen to answer directly on the test paper.

2. Before answering the question, please fill in the test center, name, admission ticket number and seat number in the specified position of the test paper.

Scoring reviewer

Fill-in-the-blank question (This big question has 6 small questions, each with 4 points and ***24 points. Fill in the answers on the lines of the questions. )

13. Calculation: (x+3) (2x-4) = _ _ _ _ _ _ _ _.

14. A bread 2 yuan and a bread 2.5 yuan are known. Someone bought X kinds of bread and Y kinds of bread, and * * * spent 30 yuan. Please list the binary linear equations about X and Y according to the meaning of the question _ _ _ _ _ _ _.

15. Given that two sides of a triangle are 3 and 6 respectively, the value range of the third side length x is _ _ _ _ _ _ _ _.

16. As shown in the figure, the straight line a∨b,? C=90？ , then = _ _ _ _ _ _ _ _ _ _.

17. As shown in the figure, points F and C are on the line segment BE, but? 1=? 2, BC=EF, if you want to make △ ABC△ def, you must add a condition _ _ _ _ _ _ _ _ _. (Write only one condition)

18. As shown in the figure, the side length of equilateral △ABC is 1, and there is a point P on the side of AB, Q is a point on the extension line of BC, CQ=PA, and point P is PE? E point AC, connecting PQ and D point AC, then the length of DE is _ _ _ _ _ _ _ _ _.

Third, solve the problem (this big problem ***9 small problems, ***78 points. The solution should be written in proof process or calculus steps. )

Scoring reviewer

19. (Full score for this small question)

( 1)(-a)2？ (a2)2？ a3

(2) Simplify before evaluating: (2a+1) 2-(2a-1) (2a+1), where a=-34.

Scoring reviewer

20. (The full score for this short question is 7)

(1) Solve the equation x+y= 12x+y=2.

(2) Fill in the reasoning reasons:

Known: as shown in figure, CD∨EF,? 1=? 2.

Prove: 3=? ACB。

Proof: ∫CD∨EF (known),

DCB=？ 2(_____________________________).

Again? 1=? 2 (known),

DCB=？ 1(_____________________________).

? GD∨CB(_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _)。

3=? ACB(_________________________)。

Scoring reviewer

2 1. (The full score for this short question is 7)

As shown in the figure, points A, B, D and E are on the same straight line, and AD=EB, BC∨DF,? C=？ F.

Proof: AC=EF.

Scoring reviewer

22. (The full score for this short question is 8)

A company adjusted its employees' monthly salary distribution plan in June+10 this year. After adjustment, the monthly salary consists of two parts: basic guarantee salary and piece-rate bonus salary (piece-rate bonus salary = bonus amount for selling each piece? Number of pieces sold). The following table shows the salary information of two employees of Party A and Party B in May this year:

Employees a and b

Monthly sales (pieces) 200 180

Monthly salary (RMB) 1800 1700

After the salary distribution scheme is adjusted, what is the basic guaranteed monthly salary of employees and the reward amount for selling each product?

Scoring reviewer

23. (The full score for this short question is 8)

As shown in the figure, it is known that AD∑BE,? 1=? C. verification:? A=？ E.

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24. (The full score for this short question is 8)

Observe the following equation and answer the questions:

①x-y = 22x+y = 1； ②x-2y = 63x+2y = 2； ③x-3y = 124 x+3y = 3； ?

(1) What quantitative relationship do you find between X and Y in the solutions of the above three equations? Please write this relationship. (Needless to say)

(2) Please construct the fourth equation group that satisfies the structural characteristics of the above equations and verify the conclusion in (1).

Scoring reviewer

25. (The full score for this short question is 9)

Known: As shown in the figure, point D is a point within △ABC, satisfying BD=CD,? ABD=？ ACD。

Proof: (1) ab = AC;

(2)AD？ BC.

Scoring reviewer

26. (The full score of this short question is 12)

As shown in figure 1, CE is equally divided? ACD, AE split equally? BAC, and EAC+ ACE=90？ .

(1) Please judge the positional relationship between AB and CD and explain the reasons;

(2) As shown in Figure 2, when? E=90？ The positional relationship between AB and CD remains unchanged. When the right vertex e moves, write? BAE and? The quantitative relationship of ECD, and explain the reasons;

(3) As shown in Figure 3, P is a fixed point on the line segment AC, Q is a moving point on the straight line CD, and the positional relationship between AB and CD remains unchanged. When point Q moves on the light CD (except point C),? CPQ+？ CQP and? What is the quantitative relationship of BAC? Write a conclusion and prove it.

Scoring reviewer

27. (The full score of this short question is 12)

It is known that point C is a point on the line segment AB, with AC and BC as sides, △ACD and △BCE as the same side of the line segment AB, respectively, CA=CD, CB=CE,? ACD=？ BCE, straight AE and BD intersect at point F.

(1) as shown in figure 1, if? ACD=60？ And then what? The degree of AFB is _ _ _ _ _ _ _ _ _ _ _;

(2) As shown in Figure 2, what if? ACD=？ And then what? AFB = _ _ _ _ _ _ _ _ _ _ _ _ _? Algebraic representation of);

(3) Rotate the △ACD in Figure 2 clockwise at any angle around point C (the intersection point F is at least on a line segment of BD and AE), as shown in Figure 3. Trying to explore? AFB and? Quantitative relationship, and prove it.

The reference answer of the final examination paper in the second volume of seventh grade mathematics

First, multiple choice questions

The title is123455678911112.

Answer C B C A A B A D C D B A

fill (up) a vacancy

13.2x2+2x- 12

14.2x+2.5y=30

15.3