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Hebei education edition seventh grade next semester final mathematics examination questions
The final exam of the seventh grade mathematics in the next semester of Hebei Education Press is coming, and the exercise of reviewing questions is an important part of the seventh grade mathematics review in the next semester. The following is a question and answer I brought to you about the end of the next semester of seventh grade mathematics in Hebei Education Press. I hope it will help you.

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Hebei education first edition seventh grade next semester mathematics final exam questions and reference answers. Choose carefully and make a final decision (2 points for each small question, 30 points for * * *).

1. Among the following equations, the one that belongs to binary linear equation is ().

a . 3x-4 = 7-x b . 2x+5y = 10 c . xy- 1 = 0d . x+y = 3z+7

Answer B.

From 1, we can get the formula () 322x? 22x 12x2x? C.y2 D.y? 2? Y? Baguio? 33333

Answer c

? x? m? 63. Through the equation? It can be concluded that the relationship between x and y is ()

? y? 3? m

A.x+y=9 B.x+y=3

C.x+y=-3 D.x+y=-9

Answer a.

4. For example, a∑b is known, 1=40? And then what? 2=( )

A. 140? B. 120? C. 40? D. 50?

Answer a.

5. for example, AB∨CD, AD split equally? BAC, and C=80? And then what? The degree of d is () A. 50? B. 60? C. 70? D. 100?

Answer a.

6. Of the following four shapes,? 1=? Must be true. Yes ()

Answer B.

7. For example, in Rt△ABC, ACB=90? , DE crosses point c, DE//AB, if? So ACD=500? The degree of B is ()

.50 caliber? B.40? C.30? D.25?

8. For example, the decorator nailed slats to the wall. What if? 2= 1 10? , so that batten b is parallel to a, then? The number of times 1 is equal to ()

.55 caliber? B.70? C.90? D. 1 10?

Answer B.

9. The numbers below each group represent the lengths of the three sticks. After connecting them end to end, the group that can be put into a triangle is ().

A. 1,2,6 B. 2,2,4 C

Answer D.

10. In the following operations, () must be correct.

A.m5? m2? m3 B.m 10? m2? m5 C.m? m2? m3 D.(2m)5? 2m5

Answer C.

1 1. known a? b? 1, then the algebraic expression 2a? 2b? The value of 3 is ()

A.- 1 B. 1 C.-5 D.5

Answer a.

12. If the reciprocal of a is-1, then a20 13 is equal to ().

A. 1 B.﹣ 1

So choose B.

13. Factorization factor 2x2? The final result of 4x+2 is ()

A.2x(x? 2) B.2(x2? 2x + 1) C.2(x? 1)2 D.(2x? 2)2

Answer c

14. If a>b and the following inequalities are deformed incorrectly, it is (). ..

Alcoholics Association. 1 & gt; b? 1 B . >C.3a? 4 & gt3b? 4 D.4? 3a & gt4? 3b

Answer: d

15. the equation mx about x? 1? If the solution of 2x is a positive number, the range of m is ()

Morning? Two o'clock? 2

C.m & gt2d . m & lt; 2

Answer c

2. Make the finishing point with clever thinking (2 points for each small question, *** 10)

16. The positive integer solution of binary linear equation x+y=5 has _ _ _ _ _.

Analysis: ∵x+y=5, Y=5-x, and ∵x and y are positive integers.

? X is a positive integer less than 5. When x= 1, y = 4;; When x=2, y = 3;;

When x=3 and y=2; When x=4, y= 1.

Answer B.

17. For example, line A and line B are cut by line C, if A∑B,? 1=40? ,? 2=70? And then what?

3= degrees.

The answer is 1 10.

18.△ABC, what are the three internal angles? A: B, is it? C are you satisfied? B﹣? A=? C﹣? What about B? B= degrees.

Answer 60

19. given real numbers a and b satisfy a+b=2, A-B = 5, and the value of (A+B) 3 (A-B) 3 is. So the answer is: 1000.

20. If m2-N2 = 6 and m-n = 2, then m+n=.

Solution: m2-N2 = (m+n) (m-n) = (m+n)? 2=6,

So m+n=3.

So the answer is: 3.

Three. Pass the test, victory is in sight (60 points in this question * * *)

? x? y? z? 5? x? 2y? 4? 2 1. Solve the equation (1)? (2)? x? y? 5z? 1 ? 2x? y? 3? 0? 2x? 3y? z? 14?

? x? 5? x? 2? Solution: (1)? (2)? y 1? y 1? z? 1?

22.( 1) decomposition factor: a3b-2a2b2+ab3. (2) Simplification: a( 1? a)? (a? 1)2? 1 solution: (1)a3b-2a2b2+ab3

=ab(a2-2ab+b2)

=ab(a-b)2。

(2) The original formula =a? a2? a2? 2a? 1? 1? 3a

? x? 3(x? 2)? 4? 23. Solve the inequality group? 1? 2x, and the solution set is represented by the number axis. x? 13

Answer: from 1 ①: X? 1,

Obtained from 2; x & lt4,

? The solution set of inequality is: 1? x & lt4。 On the number axis, the solution set is:

1 1? . abdominal muscle

(1) Please judge whether this proposition holds. If it is true, please prove it. If it is a false proposition, please give a counterexample; 24. Proposition: If a>b, then

(2) Please modify the proposition appropriately to make it a true proposition.

1 1 Solution: (1) Pseudo-proposition. For example, a= 1 and b=-2 conform to a>b, but are not satisfied? . abdominal muscle

1 1(2) is revised as: If a>b>0, then what? . abdominal muscle

25. Like what? B=55? ,? EAC= 1 10? , AD split equally? Are EAC, AD and BC parallel? Why? Fill in the blanks or fill in the reasons in brackets according to the following solving process.

Solution: ∫AD split? EAC,? EAC= 1 10? (known)

EAD= 1

2? EAC = _ _ _ _ _ _ _ _ _ _ _ _?

∵? B=55? (known)

B=? _________

? AD ∨ BC. ( )

Solution: ∫AD split? EAC,? EAC= 1 10? ,

EAD= 1

2? EAC=55? ,

∵? B=55? ,

B=? EAD,

? AD∨BC (same angle, two straight lines are parallel),

So the answer is: 55, EAD, (same angle, two straight lines parallel).

26. For example, AB∑CD and straight line EF intersect AB respectively, and CD is divided equally at E, F and EG? Before handing in CD point g? 1? 50, beg? 2 degrees.

Solution: Because AB∑CD, so? 1BEF? 180, (complementary angle of two parallel lines with internal angles)

So what? BEF? 130.

Because EG split it equally again? BEF, so? Figberg? 1

2? BEF? 65.

And because of ab Σ CD,

So what? 2BEG? 65. (Two straight lines are parallel and the internal dislocation angles are equal)

27. For example, it is known that points A, D and B are on the same straight line. 1=? 2,? 3=? E. verification: DE∑BC.

Proof: ∫ 1 =? 2,? AOE=? COD (equal to the vertex angle),

? At △AOE and △COD,? CDO=? E (triangle interior angle sum theorem);

∵? 3=? e,

CDO=? 3,

? DE∨BC (internal dislocation angles are equal and two straight lines are parallel).

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