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The examination paper of the middle-term exam of junior one mathematics.
First, multiple-choice questions, you will definitely choose the right one! (3 points for each small question, ***30 points)

1, the value of calculation: is ()

5th century to 5th century.

2, with the following groups of data as the side length, can form a triangle is ().

A.B. 4,4,C, 10

3, the following calculation is correct ()

A.B.

C.D.

4, the following can be calculated by the square difference formula is ()

A.B.

C.D.

5, in the following groups, the solution of the equation is ()

A, B, C, D,

6, in the following categories, can be used as the final result of factorization is ().

A.a(x2+y2)+2 axy b .(2m-n)[m-(2m-n)]

C.(x2+y2+xy)(x2+y2-xy) D.a2(3-)

7. As shown in the figure, AB‖DF cannot be determined as () under the following circumstances.

A.∠A+∠2= 180 B.∠A=∠3

C.∠ 1 =∠4d∠ 1 =∠A

8.① ② ③ ④ In the following equation

(5), the number of quadratic linear equations is ()

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

9. The patterns shown in the picture are the symbols of Mercedes-Benz, Audi, Volkswagen and Mitsubishi respectively, among which, they can be regarded as the "base".

This pattern is translated into ()

10, whenever the number of sides of a polygon increases, the polygon's ()

A. internal angle and increase of 3600b0. The outer corner has been increased by 3600b0.

C. add a D. inner corner on the diagonal, and add 1800.

Second, fill in the blanks, you can do it quickly and accurately! (2 points for each small question, *** 18 points)

1 1, if am = 2 and an = 3, then am+2n = _ _ _ _ _ _

12, expressed by scientific counting method.

13. If the sum of the internal angles of a polygon is 1440? So the number of sides of this polygon is, and the sum of its outer angles is.

14, if, then Mn =.

15. If h is the intersection of three heights △ABC, AD, BE and CF, then the height of △HBC BC side is, and the height of the BH side is.

16, if x2+mx+4 is completely flat, then m=.

17, calculation: (-) 2006× (-5) 2007 =.

18, if (2a- 1) 0 = 1, then a.

19, if there is no item in the product of; otherwise,.

Third, do math problems and don't make mistakes!

2 1, calculation: (4 points for each small question, *** 16 points)

( 1) (2)

(3) (4)

22, factorization (4 points for each small question, ***8 points)

( 1)x3—x(2)(x2—2x)2+2(x2—2x)+ 1

23, solve the equation (4 points for each small question, ***4 points)

24 (5 points) Simplification and evaluation:

, where a=, b =- 1.

Fourth, draw pictures, draw your style! (5 points for this question)

25. As shown in the figure, first translate the graphics in the grid along the direction of MN, draw new graphics after translation, and then match the translated graphics with appropriate commentary.

5. Solve the problem and do it. It will definitely work!

26. As shown in the figure, BD is △ABC, DE‖BC, the bisector of the angle intersecting with AB at point E, ∠ A = 45,

∠ BDC = 60, find the degree of the bed. (6 ′)

27, explore the application (***8 points)

(1) calculation:

①(a-2)(a2+2a+4)②(2x-y)(4x 2+2xy+y2)

(2) The multiplication result of the algebraic expression above is very concise, and a new multiplication formula can be found:

Please use letters containing a.b.

(3) The following can be calculated by the multiplication formula you found: ()

A.(a-3)(a2-3a+9)b .(2m-n)(2 m2+2mn+N2)

C.(4 x's) (16+4x+x2) D. (m-n) (m2+2mn+N2)

(4) directly use the formula to write the calculation results:

(3x-2y)(9 x2+6xy+4 y2)= 1

(2m-3)(4 m2 ++ 9)= 1

[Reference answer]

First, multiple-choice questions, you will definitely choose the right one!

The title is 1 23455 6789 10.

Answer C A D B C C D B B D

Second, fill in the blanks, you can do it quickly and accurately!

1 1, 18 12, 6.35×10-413, 10 3600 14,/kloc.

17、—5 18、a≠ 19、

Third, do math problems and don't make mistakes!

2 1, calculated as (1)-10 (2)-9a3 (3) 2x2-x-1(4) m2-N2+4n-4.

22. Factor decomposition

( 1)x(x+ 1)(x— 1)(2)(x— 1)4

23, solving equations

24. Simplify before evaluating AB- 1

Fourth, draw pictures, draw your style!

25, omitted

5. Solve the problem and do it. It will definitely work!

26、∠BED= 1500

27 、( 1) ①a3—8 ②8x3-y3

(2) (a-b)(a2+ab+b2)=a3-b3

(3) C

(4) 27x3-8y3 6m 8m3-27