2008-2009 school year seventh grade (next) mid-term examination paper.
mathematics
Choose one carefully first (this big question is a small question of * *10, with 3 points for each small question and 30 points for * * *).
1. The following statement is not a proposition ()
A, two straight lines are parallel, and the internal angles are equal. B, Xiaohong is a student in Class One and Class Three, Senior Three, Longcheng No.3 Middle School.
C, complementary adjacent complementary angle d, the distance from point to straight line
2. The four angles formed by the intersection of two straight lines meet one of the following conditions respectively, and the condition that two straight lines cannot be judged to be perpendicular is ().
A, two pairs of vertex angles are equal to each other b, a pair of vertex angles are complementary angles c, a pair of adjacent complementary angles are equal to each other d, and three angles are equal.
3. The picture shows five patterns of "Fuwa Huanhuan". Which of patterns ②, ③, ④ and ⑤ can be obtained by translating pattern ① ()?
a、② B、③ C、④ D、⑤
4. In the picture below, next to AC is ().
a、① B、② C、③ D、④
5. If a vertex of a planar mosaic floor tile consists of six identical regular polygons, then this regular polygon can only be ().
A, square b, regular triangle c, regular pentagon d, regular hexagon
6. Don't use triangle stability is ().
A, triangle frame b and triangle room frame of bicycle
C, camera tripod d, rectangular door frame diagonal brace
7. The point E on the right is on the AC extension line, and AB‖CD can be judged under the following conditions.
( )
a、∠3=∠4 B、∠ 1=∠2
c、∠D=∠DCE D、∠D+∠ACD= 180
8. In the plane rectangular coordinate system, trace the following points in turn,
And connect the points in each group in turn: (1) (2, 1), (2,0),
(3,0),(3,4); (2)(3,6),(0,4),(6,4),(3,6)。 You will find the resulting graphics.
Yes ()
A, two triangles B, house C, umbrella D, electric light.
9. In 9.△ ABC, the lengths of the three sides are 5, 8 and x respectively, so the value range of x is ().
A, 3 < x < 13b, 5 < x < 8c, 4 < x < 12d, uncertain.
10. If P(m+3, 2m+4) is on the Y axis, then m= ().
A.0 b .-3 c .-2d . 2
Second, fill it out carefully (this big question is ***8 small questions, with 3 points for each small question and 24 points for * * *).
1 1. Given that the sum of the internal angles of a polygon is 540, the number of sides of the polygon is _ _ _ _ _ _ _.
12. Move the point q (-2,3) to the left by 1 unit length, and then move it down by 2 unit lengths to get the point Q', so the coordinate of the point Q' is _ _ _ _ _ _ _ _.
13. If the lengths of two line segments are 1cm and 10cm respectively, please write down the length of the third line segment _ _ _ _ _ _ _ cm, so that these three line segments can form a triangle.
14. If P is in the second quadrant, the distance to the X axis is 3, and the distance to the Y axis is 4, then the coordinate of point P is _ _ _ _ _ _ _ _.
15. Place a set of triangular plates as shown in the figure, and the obtuse angle formed by the two hypotenuses will be _ _ _ _ _ _ _.
16. There is an English word whose alphabetical order corresponds to the ordered number pair in the picture on the right.
(5, 3), (6, 3), (7, 3), (4, 1), (4, 4), please write this English word as _ _ _ _ _ _ _ _ _ _ _, or translate it into Chinese.
17. As shown in the figure, the circumference of right-angle ABC is 2008, and there are five in it.
A small right triangle, then the perimeter of these five small right triangles is _ _ _ _ _.
18. gobang, like chess and go, is deeply loved by the majority of players.
The rule is: in the square chessboard of 15× 15, the black side takes the lead and takes turns to play chess.
The winner is the person who connects five sons in any direction. As shown on the right, there are two kinds of gobang hobbies.
Game diagram of player a and player b; (A holds the black son first, and B holds the white son before leaving), check it out.
Look at the chessboard and think: If the position of point A is recorded as (8,4), A must be settled in the position of _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Iii. Answer the following questions (* * * 66 points)
19.(6 points) 2007 is the Year of the Golden Pig. In the plaid paper below, I drew a pattern of "Little Golden Pig". Move "Little Golden Pig" to the right by 13 squares. Please put the translated pattern of "Little Golden Pig" on the grid paper.
20.(7 points) As shown in the right figure, it is known that the straight line a‖b, ∠ 2 = 140, and the number of times to find ∠ 1.
2 1.(7 points) As shown in the right figure, ∠ 1 = 30, ∠ B = 60, AB⊥AC.
How many degrees is (1) ∠ DAB+∠ B?
(2) Try to explain BC.
22.(8 points) As shown in the figure below, AD is the height of △ABC on the side of BC, and AE is the bisector of △ ∠BAC. If △ B = 47 and △ C = 73, find the degree of △ ∠DAE.
23.(8 points) As shown in the figure, ∠DAB+∠ D = 180, ∠DAB, ∠ CAD = 25, ∠ B = 95.
(1) The number of times to find ∠DCA;
(2) the number of times to find ∠FEA.
24.(9 points) As shown in the figure, the straight line DE intersects with the sides AB and AC of △ABC at D and E, and intersects with the extension line of BC at F. If ∠ B = 67, ∠ ACB = 74, ∠ AED = 48, find the degree of ∠BDF.
25. (9 points in this question) As shown in the figure, a ship sails from B to C, and C is measured at B in the direction of 75 northeast of B, while observation post A on the island measures B at 30 southwest of A and C at 25 southeast of A. If the ship sails to C, what is the angle of view ∠ACB between A and B from C?
26.( 12) As shown in the figure, AD is the center line of △ABC and BE is the center line of △ABD.
(1) ∠ Abe = 15, ∠ bad = 40, find the degree of ∠BED;
(2) in the delta bed, determine the height of BD side;
(3) If the area of △ABC is 40 and BD=5, what is the distance from point E to BC?
A