Math test questions
Class name _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Multiple choice questions: (Of the four options given in each question below, only one is correct. Please put a letter before the correct option in the corresponding brackets. )
1. 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
2. The distance from the point to the straight line is ()
A. the connection line from point to point on a straight line B. the perpendicular line from point to line
C. Vertical line segment from point to line D. Length of vertical line segment from point to line
3. Judging that the two angles are equal, the error is ()
A. Two straight lines with equal vertex angle b are cut by a third straight line, and the internal dislocation angles are equal.
C. Two straight lines are parallel and have the same angle. d .∫≈ 1 =∠2,∠ 2 = ∠ 3,∴∠ 1 = ∠ 3。
4. As shown in the figure, if point E is on the extension line of BC, AB‖CD cannot be judged as () under the following circumstances.
A.∠3 =∠4b∠B =∠DCE C∠ 1 =∠2。 D.∠D+∠DAB= 180
5. In the picture below, which one can be obtained by translating the left picture ()?
6. It is known that point A (-3, a) is the symmetrical point of point B (3, -4) about the origin, so the value of a is ().
A.-4 B.4 C.4 or -4 d
7. Given points P 1 (-4,3) and P2 (-4,3), then P1and P2 ().
A. About the X axis symmetry B. About the Y axis symmetry
C. symmetry about the origin D. there is no symmetry relationship.
8. In the plane rectangular coordinate system, the ordinate of each point of the triangle is subtracted by 3, and the abscissa is unchanged. Compare the obtained graph with the original graph ().
A. it has been translated by 3 units to the right. B. it has been translated by 3 units to the left.
C.it has been translated into three units. D. it has been translated down by 3 units.
9. The point (-7,0) is in ()
A. on the positive and negative axis B. on the negative axis C. on the positive and negative axis D.
10. It is known that point P is located on the right side of the axis, 3 unit lengths off the axis, and above the axis, 4 unit lengths off the axis, so the coordinate of point P is ().
A.(-3,4) B. (3,4)c .(4,3) D. (4,3)
1 1. Connect three line segments with the following length end to end to form a triangle ().
a . 4cm 3cm 5cm b . 1cm 2cm 3cm c . 25cm 12cm 1 1cm d . 2cm 2cm 4cm
12. Use a batch of the same polygonal floor tiles to lay the floor, but what can't be inlaid is ().
A, regular triangle b, square c, regular octagon d, regular hexagon
13. Given a line segment A, B > B > C, if a>b>c, the triangle must meet the condition ().
a . a+b & gt; c b . b+ c & gt; a c c+a & gt; b d a-b & gt; c
14. What can divide the triangle area equally is ().
A. Angle bisector of triangle B. Height of triangle
C. the center line of the triangle D. none of the above is correct
15. As shown in the figure, the straight line EF intersects with CD and AB in M and N respectively, and EMD = 65.
∠ MNB = 1 15, then the following conclusion is correct ().
A.∠A =∠C b∠E =∠F C . AE‖FC D . AB‖DC
Second, fill in the blanks:
1. As shown in the figure, given that two straight lines intersect, ∠ 1 = 30, ∠ 2 = _ _ _, ∠ 3 = _ _ _, ∠ 4 = _ _ _.
2. If two angles are opposite and complementary, they are both angles.
3. If the straight line is A ⊥ B and A ‖ C, then C _ _ B.
4. The proposition that the complementary angles of the same angle are equal is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
5. Two parallel lines are intersected by a third straight line. If the ratio of the inner angles on the same side is 1:3, then the two angles are _ _ _ _ _ _ _ _ _.
6. In the theater, No.2 in the fifth row can be represented by (5,2), and No.4 in the seventh row can be represented by (5,2).
7. The coordinate of point A is (3,4), which means that point A is in the _ _ _ quadrant, and its distance to the X axis is _ _ _ _ _, and its distance to the Y axis is _ _ _ _ _.
8. In the plane rectangular coordinate system, the coordinates of the origin O are _ _ _ _ _ _ _ _, the coordinates of each point on the X axis are 0, and the coordinates of each point on the Y axis are 0.
9. The shape of the triangular wooden frame will not change, but the shape of the quadrilateral wooden frame will change, which shows that the triangle has _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
At 10. △ABC, if ∠B=∠A+∠C, △ABC is a triangle.
1 1. The lengths of the two sides of the triangle are 2cm and 7cm respectively. If the length of the third side is odd, the circumference of the triangle is.
12. In △ABC, ∠A:∠B:∠C=2:3:4, then ∠ B = _ _ _ _ _
13. As shown in the figure, ∠1= _ _ _.
Third, the answer: (The answer requires a written description, proof process or calculation steps. If you think some questions are a little difficult, you can write some answers you can, but don't leave blank under the questions! )
1. As shown in the figure, ef ‖ AD, ∠ 1 = ∠ 2, ∠ BAC = 70. Complete the process of finding ∠AGD.
Solution: because EF‖AD,
So ∠ 2 = _ _ _ _ _ (_ _ _ _ _ _ _ _).
Because ∠ 1=∠2
So ∠1= ∠ 3 (_ _ _ _ _)
So AB \\_ _ _ _ _ _(_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
So ∠ BAC+_ _ _ _ _ =180 (_ _ _ _ _ _ _ _ _ _ _ _ _)
Because < BAC = 70.
So ∠ AGD = _ _ _ _ _
2. Represent the following points in the plane rectangular coordinate system as shown in the figure.
A(0,3) B( 1,-3) C(3,-5)
D(-3,-5) E(3,5) F(5,7)
The distance from point (1)A to origin o is.
(2) Translate point C to the negative direction of the axis by 6 units,
Happens to coincide.
(3) If CE is connected, what is the relationship between the straight line CE and the axis?
(4) What is the distance between point F and the axis?
3. As shown in the figure, the triangle ABC is translated along AD, and the point A is translated to.
D, draw the translated triangle DEF.
4. Fill in the form:
The number of sides of a regular polygon is 3 4 5 6 8 9 10 12.
Internal angle sum
Degree of each angle
5. As shown in the figure, given DF‖AC, ∠C=∠D, can CE‖BD be judged? Try to explain your reasons.
6. As shown in the figure, in △ABC, D is on the extension line of BC, D is DE⊥AB in E, and AC is F. It is known that ∠ A = 30, ∠ FCD = 80, and ∠ D is found.
Reference answer:
1. 1 C2 D3 B4 a5 c6b 7 A8 d9 c 10b 1a 12c 13b 14c 15d。
Two. 1, 150, 30, 150
2. Straight
3、⊥
4. The complementary angles of the same angle are equal.
5、45 , 135
6、(7,4)
Seven, one, four, three
8, (0,0), vertical, horizontal
9. stability, stability
10, right angle
1 1、 16cm
12、60
13、 120
Three, 1, ∠3, two straight lines are parallel and have the same angle.
Equivalent substitution
DG, the internal dislocation angles are equal, and the two straight lines are parallel.
∠AGD, two straight lines are parallel and complementary.
1 10
Step 2 sketch
( 1)3
⑵D