The first semester math review questions

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1. Multiple choice questions: (2 points for each small question, * * * 20 points)

The title is 1 23455 6789 10.

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1. If the solution set of the inequality group is-1≤x≤3, then the correct representation in the figure is ().

2. If a‖b, b‖c, d⊥a, then ()

A.b ⊥ d.b.a ⊥ c city

3. If it is known that the equation kx-2y= 1 is satisfied, then k is equal to ().

(A)3 (B)4 (C)5 (D)6

4. Three line segments with the following lengths are connected end to end in turn, which can form a triangle ().

a、4cm 3cm 5cm B、 1cm 2cm 3cm C、25cm 12cm 1 1cm D、2cm 2cm 4cm

5. In the same plane, the possible positional relationship between two straight lines is ()

A. Parallel crossing C. Parallel or crossing D. Parallel, crossing or vertical

6. Given that the solution of the equation is, then the values of m and n are ().

(A) (B) (C) (D)

7. In the picture below, next to AC is ().

A B C D

8. Draw an isosceles triangle with sides of 5 and 6, then the circumference of this isosceles triangle is ().

A, 16 B, 17 C, 1 1 D, 16 or 17.

9. The correct proposition in the following propositions is ()

A. the isosceles angles are all equal. B. The internal dislocation angles are all equal. The internal angles on the same side are complementary. The vertex angles are all equal.

10. Two regular triangles and the following () can form a plane mosaic. ()

A. Square B. Regular hexagon C. Regular octagon D. Regular dodecagon

Fill in the blanks: (2 points for each small question, * * * 20 points)

1. If point A (x-2, 2y+4) is in the second quadrant, then the value range of x is _ _ _ _ _ _ _ _ _ _ _ _.

2. In quadrilateral ABCD, if ∠A+∠B+∠C=280? , then ∠D=

3. As shown in the figure, ∠ α = 125, ∠ 1 = 50, then ∠β = _ _ _ _ _.

4. The point M(3, -2) can be obtained from the point N(-3, 4) along the X axis and then along the Y axis.

5. The sum of the inner angles of a polygon is three times smaller than the sum of its outer angles. 180? The number of sides of this polygon is.

6. No.2 in row 5 of the Olympic stadium can be represented by (5,2), followed by (7,4).

7. The positive integer solution of inequality -4x ≥- 12 is.

8. The number of diagonals of a polygon is twice the number of sides, and the number of sides of such a polygon is _ _ _ _ _.

9. It is known that ∠ 1 and ∠2 are antipodal angles, and ∠ 1 and ∠3 are adjacent complementary angles, then ∠ 2+∠ 3 = _ _ _ _.

10. Given a straight line a‖b, the distance from point M to straight line A is 5cm, and the distance from straight line B is 3cm, so the distance from straight line A to straight line B is _ _ _ _ _ _ _ _.

Third, solve the following binary linear equation: (6 points for each small question, *** 12 points)

1.2.

4. Solve the following inequality, which means that the solution is set on the number axis: (6 points for each small question, *** 12 points)

1.2.2x- 1 & lt； 4x+ 13

Verb (abbreviation of verb) solves the following inequality group: (6 points for each small question, *** 12 points)

1.2.

6. Answer: (***44 points)

1.(8 points) As shown in the figure, if the straight line AB‖CD is known, find the size relationship between ∠A+∠C and ∠AEC, and explain the reasons.

2.(8 points) Known points A(- 1, -2) and B( 1, 4).

(1) Try to establish the corresponding plane rectangular coordinate system;

(2) Draw the midpoint c of the line segment AB and write its coordinates;

(3) Move the line segment AB to the right by 3 unit lengths in the horizontal direction to get the line segment A 1B 1, and write the coordinates of the two endpoints of the line segment A1b and the midpoint of the line segment C 1.

3.(8 points) As shown in the figure, in △ABC, ∠A=70? , bisector CE‖AB. Find the degree of ∠B and ∠ACB.

4.( 10/0) (solution of binary linear equations) There are 5000 books in two branches of a bookstore. If 400 such books are transferred from Bookstore A to Bookstore B, the number of such books in Bookstore B is still 400, which is half less than that in Bookstore A, and the difference between the original books of these two bookstores is sought.

5.( 10) There are two kinds of rooms in the hotel. Class A can have four guests in each room, and Class B can have three guests in each room. If all the boys in a class live in Class A, one room is not satisfied. If they are all assigned to Class B rooms, there are still two people who have no place to live. It is known that the number of two rooms in this hotel is equal, so please find out the number of boys in this class.

Reference answer:

International development agency

Second, 1.x

4. Translate 6 unit lengths to the right and 6 unit lengths down.

5.7 6.7 Line 4 7. 1, 2, 3

8.7 9. 180? 10.2cm or 8cm

Third, 1. 2.

4. 1.x ≥-8 2.x

Verb (abbreviation of verb) 1,-12 ≤ x

6. 1, ∠A+∠C=∠AEC

Reason: e is EF‖AB.

∫EF‖AB