Class score
I. Multiple-choice questions (There are 7 small questions in this big question, with 3 points for each small question, ***2 1 point. )
1, the number of irrational numbers in the following numbers is ()
A.2 B.3 C.4 D.5
2. The sales statistics of a brand of women's shoes in a shoe store last week are as follows:
Size/cm
22
22.5
23
23.5
24
24.5
25
Sales volume/right
1
2
five
1 1
seven
three
1
The shoe store decided to buy more 23.5 cm shoes when it entered this brand of women's shoes this week. The statistics that affect the decision-making of shoe stores are A, mean B, mode C, median D and variance ().
3. The following statement is true ()
The square root of a4 is 2b. Move the point (-2, -3) to the right by 5 unit lengths to the point (-2, 2).
C is an irrational number D. The symmetry point of the point (-2, -3) about the axis is (-2, 3).
4. When sorting out the properties of parallelogram, rectangle, diamond and square, Xiaohua found that their diagonals all have the same properties: () A. Equal B. perpendicular to each other C. bisecting each other D. bisecting a set of diagonals.
5. The quadrilateral obtained by connecting the midpoints of four sides of the quadrilateral with equal diagonal lines in turn is ().
A. Trapezoidal rhombic rectangular square
6. In a parallelogram, if the length of one side is 6.5 and the diagonal length is 5 and 12 respectively, its area is ().
23.5 B.39 C.60 D.30
7. The approximate image of linear function y=kx-k may be as shown in Figure ().
Fill in the blanks (2 points for each blank, ***28 points. )
8. The value range of the function independent variable is; The range of independent variables of the function is.
9, expressed in scientific notation:? 0.001685 ≈ _ _ _ _ _ _. (Keep two significant figures)
10, calculation: =.
1 1. If the upper base length of the trapezoid is 8cm and the median length is 10cm, the lower base length is cm.
12, known, then.
13. A shopping mall bought a batch of apples, each weighing about 5 kg. Random sampling 10 box for inspection, the weight of 10 box is as follows (unit: kg): 4.8, 5.0, 5. 1, 4.8, 4.9, 5.66600000005.
14, as shown in the figure, in trapezoidal ABCD, AD∨BC, ∠ C = 90, AB=AD, connecting BD, the intersection point A is the vertical line of BD, and the intersection point BC is at E. If EC=3cm and CD=4cm, the area of trapezoidal ABCD is cm2. ..
15. It is known that straight line AB passes through points A (0 0,5) and B (2 2,0). If this straight line is translated to the left and just passes through the origin of coordinates, the analytical formula of the translated straight line is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
16. As shown in the figure, rotate △OAB counterclockwise by 30 to △ 0 ′ a ′ b ′ around point 0, so that point B falls right on the edge of a ′ b ′.
Then ∠ ABO = 0.
y
x
O
C 1
B2
Aortic second sound
C3
B 1
A3
B3
A 1
C2
(DrawingNo. 18)
17. If the function is a linear function about x and y increases with the increase of x, then m =.
Question 16
C
B
D
E
A
Question 14
C
B
O
A
D
18, squares A 1B 1C 1O, A2B2C2C 1, A3B3C3C2, … are arranged as shown in the figure. C3 C2 points A 1, A2, A3, … and C 1.
Third, answer the question (this big question * * has 9 small questions, ***5 1 point)
19, (6 points) Find X in the following categories:
20.(3 points) As shown in the figure, given ∠AOB and points C and D, find a point P so that PC=PD and the distance from point P to OA and OB is equal.
2 1, (4 points) A unit conducts year-end assessment on employees, which is divided into four items: ideological quality, work performance, business ability and work discipline. The total score of each item is 100, but it is recorded in the total score according to the ratio of 3: 4: 3: 2 in turn. The scores of Xiao Wang and Xiao Zhang are as follows:
(full name)
Thinking quality
job performance
Professional competence
Work/work discipline
Xiao Wang
Eighty-five
80
90
75
Zhang Xiao
Eighty-five
90
80
80
According to the total score calculation method of this unit, who scored higher, Xiao Wang and Xiao Zhang? Why?
Question 23
22.(4 points) As shown in the figure, in △ABC, AB=AC, and D is the midpoint of BC.
The quadrilateral ABDE is a parallelogram. It is proved that the quadrilateral ADCE is a rectangle.
O
x
A
B
1
1
y
23.(5 points) As shown in the figure, in the plane rectangular coordinate system, the axis of the known point is a. 。
(1) Rotate point B 90 degrees counterclockwise around the origin, then record it as a point and find the coordinates of the point;
(2) The point corresponding to point A obtained by translation is a point pair.
The coordinates of the point should be made in the coordinate system, and the point should be written.
, the coordinates of.
24.(5 points) As shown in the figure, the side length of the square ABCD is 4, e is a point on the DC side of the square ABCD, a is AF⊥AE, and the intersection point CB extends to point F. 。
(1) Verification: △ ade △ ABF; ⑵ Try to judge the shape of △AEF;
⑶ If DE= 1, find the area of △AFE.
25.(8 points) In the rectangular coordinate system, the analytical formula of the straight line L 1 is that the straight line L2 passes through the origin, and L2 intersects with the straight line L 1 at point P (-2, a).
(1) Try to find the value of a;
(2) What kind of solution can (-2, a) of binary linear equations be regarded as?
(3) If the straight line L 1 intersects the X axis at point A, can the area of △APO be calculated? Give it a try.
(4) Is there a point M on the straight line L 1, so that the distances from the point M to the X axis and the Y axis are equal? If it exists, find the coordinates of point m; Does not exist, explain why.
26.(8 points) As shown in the plane rectangular coordinate system, the vertices of the known right-angled trapezoidal OABC are O (0 0,0), A (9 9,0), B (6 6,4) and C (0 0,4) respectively. Point p moves from point c along C-B-A at a speed of 2 units per second, and point q moves from a to o.
(1) Who will reach the finish line first at Point P or Point Q? What is the value of t when we reach the finish line?
(2) When t is taken, what is the straight line PQ∨AB? And write the coordinates of point p at this time. (Write out the solution process)
(3) When the point P moves on the straight line OABC, is there a t value that satisfies the meaning of the question, so that the area ratio of the two parts divided by the straight line PQ is 1︰2? If it exists, find the value of t; If it does not exist, please explain why.
y
y
y
X hours
27.(8 points) In order to visit the Shanghai World Expo, a company arranged for two cars, A and B, to depart from Shanghai and A, which are 300 kilometers apart, respectively, and immediately returned after sending passengers to A. The following figure shows the function image between the distance (kilometers) from their respective departure places and the driving time (hours).
(1) Please directly write the functional relationship between the distance (km) from the starting point and the driving time (hours);
2 When they drive for 4.5 hours, the distances from their respective starting points are equal, and
Distance (km) and driving time (hours) of B car from the starting point.
The functional relationship between them;
(3) In the case of (2), after cars A and B leave their respective starting points,
How long will it take to meet?