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Mathematics seventh grade first volume unit 1 test questions

First, multiple-choice questions (4 points for each small question, 24 points * * *):

1. Among the following four graphs, ∠ 1 and ∠2 are diagonal graphs ().

0 (b) 1 (c) 2 (d) 3。

1 2 2 2 2

1 1 1

2. A car is driving on a straight road. After turning two corners, it is still driving in parallel in the original direction, so the included angle between the two corners is ()

(a) First right turn 50, second right turn 130(b) First left turn 50, second right turn 50.

(c) First left turn 50, second left turn 130(d) First right turn 50, second right turn 50.

3. If four straight lines on the same plane satisfy a⊥b, b⊥c and c⊥d, then the following formula holds ().

b)b⊥d(c)a⊥d(d)b∨c

4. When three lines intersect at the same point, there are m pairs of vertices, and when they intersect at different three points, there are n pairs of vertices, so the relationship between m and n is ().

(A)m = n(B)m & gt； n(C)m & lt； n(D)m+n = 10

5. If m∨n, ∠ 1 = 105, ∠2= ()

55(B)60(C)65(D)75

6. The correct one in the following statement is () m.

(a) There is one and only one straight line perpendicular to the known straight line. 1

(b) The vertical line from a point outside the line to this line is called the point 2.

The distance to this straight line. n

(c) Two vertical line segments must intersect.

(d) If the length of the shortest line segment formed by connecting a point outside the straight line C with all points on the straight line C is 3cm, the distance from point A to the straight line C is 3cm.

Fill in the blanks (4 points for each small question, 20 points for * * *)

7. Two sides of two angles are parallel to each other, and 1/2 of one angle is equal to 1/3 of the other angle, then the degrees of these two angles are respectively.

8. Riddle (type two geometric names in this chapter). 10 cent left: two cows fight:

9. The following movements of objects in life can be regarded as translation.

(1) pendulum; (2) Cars driving on straight roads; (3) flags fluttering in the wind; (4) shake the rope; (5) the movement of windshield wipers; (6) a small ball falling freely from the roof (the ball does not rotate).

10. As shown in the figure, straight lines AB and CD intersect at point O, and OE⊥AB and O are vertical feet. If EOD = 38, AOC =,

∠COB= .E

Christian era

1 1. As shown in the figure, ∫AC is equally divided ∠DAB.

∴∠ 1= island

∫≈ 1 =∠2 C B

2 = Special Zone

∴AB∥ 2

A b

Third, do (this question 10)

12. As shown in the figure, translate the graphics in the grid, so that point A can be translated to point A'. Try to draw the translated figure and describe it in a sentence (or a word).

Four, calculation (10 points):

13. As shown in the figure, AD is the bisector of ∠EAC, and AD∨BC, ∠ B = 30. Can you work out the degrees of ∠EAD, ∠DAC and ∠C?

E

Christian era

B.C.

Verb (abbreviation of verb) Think about it (*** 12 points):

14. As shown in the figure, EF∨AD, ∠ 1=∠2 is known.

Verification: ∠ AGD+∠ BAC = 180.

C

D G

1

F

2 3

B F A

Six, practical application:

15.( 1 1 min) In a rectangular ABCD, AB=3, BC= 1, E is on AB, AE=2, draw an arc with E and B as the center and 2 as the radius to intersect DC at F and G.

(1) Find the area of parallelogram BGFE;

(2) Find the area of the part enclosed by FA and GH arcs in the rectangle.

D F G C

A H E B

16, (13 minutes) As shown in the figure, point O is a point on straight line AB, OC and OD are two rays on both sides of AB respectively, ∠AOC=∠BOD.

(1) Find the degree of ∠COD;

(2) Are ∠ AOC and ∠BOD right angles? Why?

C

A b

O

D