One,
A 1
B 1
C 1
A
C
B
Fill in the blanks: (2 points for each question, ***30 points)
The square root of arithmetic 1. Yes.
2.delta is the triangle obtained by delta translation, then
△△, the reason is.
3. If the inner angle of a diamond is 10, its area is.
A
D
B
x
y
4. Diagonal lines of a square _ _ _ _ _ _, each diagonal line bisects a set of diagonal lines.
5. The three median lines of a triangle intersect at one point, which is a triangle.
6. As shown in the figure, in the isosceles trapezoid ABCD, AB=4, CD= 10, then each top
O
The coordinates of the point are a (7,0), b, c and d (0,0).
C
7.y tons of goods are packed in x trucks, each with 7 tons, and there are still 3 tons left, which can be listed.
Give an equation where y can be regarded as a function of x (fill in yes or no).
O
y
x
1
-2
8. As shown in the figure, the analysis of the function in the figure is shown in the figure.
9. If the linear function y=-2x+b intersects the X axis at (4,0), then it intersects the Y axis.
The point is _ _, and the coordinate intersecting with the straight line y=x is.
Second, multiple-choice questions: (3 points for each small question, *** 18 points)
1. The correct statement is ().
① The sum of two square roots of any positive number is equal to 0 ② Any real number has a cube root.
③ Infinite decimals are irrational numbers ④ Real numbers correspond to points on the number axis one by one.
A. 1 B. 2 C. 3 D. 4
2. The acute angle formed by diagonal AC and BD of rectangular ABCD is 60 degrees, then ().
A.AC+BD = a b+ BC+CD+DA; b . BD+AC = a b+ AC; C. BD = 2AB or above is not true.
3. Every inner angle of a polygon is equal to, so the number of inner angles and diagonals is () respectively.
A.,8 B, 10 C,9 D, 1 1
4. There are () kinds of graphs that can be densely spread in the following expression.
① parallelogram ② triangle ③ right-angled trapezoid ④ regular pentagon ⑤ regular octagon.
A. 1 B. 2 C. 3 D. 4
5. Equation 2x+y=7 has () pairs of solutions in the range of natural numbers.
A.4b 3c 2d 1
6. If the coordinates of the point p () are the same as those of the point p () about the axis symmetry of X and Y, the values are () respectively.
A.– 1, 2; b .– 1,–2; c .-2, 1; D. 1,2
Third, answer questions:
A 1
3. Drawing problem: (6 points) After translation △, point A moves to point A 1. Please make a translation graph and rotate it counterclockwise around C 1 point, and then make the resulting graph.
A
B
C
1. Simplified quadratic formula: (3 points for each small question, ***9 points)
( 1) ; (2) ; (3) .
A
C
D
B
E
F
4. (8 points) As shown in the figure, in the rhombic ABCD, e is the midpoint of AD.
Extension line of CB and F at the intersection of EF⊥AC.
(1) Are DE and BF equal? Please explain the reason.
(2) that connection AF, BE and quadrilateral AFBE are flat.
Quadrilateral? Explain why.
5. (16 minutes) As shown in the figure, lA lB represents the relationship between distance S and time T when A walks on the same road and B rides on the same road.
(1)B is a kilometer away from a. (2 points)
After a long walk, the bike broke down and it took several hours to repair it. (2 points)
(3)B meets A a few hours after departure. (2 points)
(4) If B's bike doesn't break down, continue to move at the starting speed, and meet A after one hour. The meeting point is several kilometers away from B's starting point. This intersection C.(6 points)
(5) Find out the functional relationship between the distance S and the time T that A walks. (Writing process, 4 points)
square kilometer
T (hours)
O
10
22.5
.5
7.5
0.5
three
1.5
pound
The sixth note of a diatonic scale.
6. (9 points) In a shooting competition, the scores of 19 players (3 shots each) are as follows:
Achievement (ring)
24
25
26
27
28
29
30
number of people
1
1
2
2
four
seven
2
(1) Find the average, mode and median of this set of data.
(2) In this question, what do mean by average, mode and median?
7. Solving applied problems of equations: (8 points)
The sum of the unit prices of A and B was originally 100 yuan. Due to market changes, the price of commodity A rose by 40%, while the price of commodity B fell by 65,438+00%. The sum of the unit prices of these two commodities has increased by 20%. What are the original unit prices of A and B respectively?
Please arrange the main contents of this semester's math textbook in a tree diagram. (5 points)
9, design problems (3 points)
As shown in the figure, an isosceles trapezoid is divided into two triangles by a diagonal line. Can these two triangles be used for dense pavement? If yes, please design a dense paving pattern. If not, please explain why.