1. The correct statement is ().
A. If two angles are complementary, one of them must be acute and the other must be obtuse.
B two parallel lines are cut by a third straight line, and the internal angles on the same side are equal.
C has one and only one straight line parallel to this straight line.
D. The two angles are complementary and have nothing to do with their positions.
2. Observing the chart, the following statement is correct ()
① There is only one straight line AC perpendicular to the straight line L at the intersection point A;
② Among the line segments AB, AC and AD, the line segment AC is the shortest, and the line segment between two points is the shortest;
③ Among line segments AB, AC and AD, line segment AC is the shortest, based on the fact that the vertical line segment is the shortest;
④ The length of line segment AC is the distance from point A to straight line L. ..
A. 1
(Figure 2) (Figure 3)
3. As shown in the figure, ∠ 1=∠2, ∠3=70? 8? 3, then ∠ 4 = ()
a . 100 b . 1 10 c . 120d . 130
4. Given that the distance from point P on the X axis to the Y axis is 3, the coordinate of point P is ().
A. (3,0 0) B. (0 0,3) or (0,3)
C. (0,3 3) D. (3 3,0) or (3,0)
5. On a 5×5 square paper, the translated position of figure n in figure (1) is as shown in figure (2), so the correct translation method is ().
A first move 1 grid down, and then move 1 grid to the left.
B Move down 1 grid first, and then move 2 grids to the left.
C moves down 2 squares first, and then moves 1 squares to the left.
First move down 2 squares, then move left 2 squares.
6. If ab=0, then point P (a, b) is in ().
C coordinate origin on A.x axis, B.y axis and D.x axis or y axis.
7. Move the point P (-4,3) to the left by 2 units, and then move it down by 1 unit to get the point P? 0? The coordinates of 7 are
( )
A.(-6，2)b .(-2，2)c .(-6，4)d .(-2，4)
8. If the lengths of the two sides of an isosceles triangle are 5cm and 2cm respectively, then its circumference is ().
A. 12b. 9c. 9 or 12d. 7
9. It is known that every inner angle of a polygon is equal to 144? 8? 3, then the sum of its internal angles is ()
A. 1 152？ 8? 3b . 1440？ 8? 3c . 1008？ 8? 3d . 1296？ 8? three
10. A student is practicing driving in the square. After two turns, the driving direction is the same as the original direction. The angle of these two turns may be ().
A, turn left 300 for the first time and turn right 300 for the second time.
B, turn right 500 for the first time and turn left for the second time 1300.
C. Turn right 500 for the first time and turn right for the second time 1300.
D. Turn left 500 for the first time and turn left for the second time 1300.
1 1. As shown in the figure, if AB∨EF, CE=CA and E = 65 are known, then the degree of ∠CAB is ().
a . 25 b . 50 c . 60d . 65
12. If the circumference of an isosceles triangle is 24cm and the waist length is xcm, then the value range of x is ().
a . x < 6 b . 6 < x < 12
c . 0 < x < 12d . x > 12
Fill in the blanks (4 points for each small question, 20 points for * * *)
13. If the ratio of the degrees of the three internal angles of a triangle is 1: 2: 6, then the degrees of the three internal angles are.
14. Assuming that the proposition "the complementary angles of the same angle are equal", the conclusion is that this proposition is correct (fill in "right" or "wrong").
15. if point P(m 3, m-8) is on the y axis, the coordinates of point p are.
16. As shown in the figure, line A and line B are cut by line C. If a∥b, ∠ 1 = 60,
Then ∠ 2 = 0.
17. The coordinates of point A( 1 2) about the axis symmetry of X are:
The coordinates of the point where point A is symmetrical about the origin are.
Iii. Answering questions (***58 points)
18.(8 points) Verification: Two lines perpendicular to the same line are parallel to each other.
19.(8 points) As shown in the figure, in △ABC, D is a point above BC, F is a point on the extension line of BA, and even DF meets AC at E, and ∠ B = 42, ∠ C = 59, ∠ DEC = 47, and find ∠.
20.( 10 point) In the rectangular coordinate system, draw four points A (2 2,3), B (4 4,3), C (3 3,2) and D (3 3,2), and point out what the figure connecting the four points A, B, C and D in turn is.
2 1.( 10 minute) What is the value of m when a given point Q () is on the bisector of the first quadrant?