Choose carefully (3 points for each question, * * * 30 points)
1. Among the following properties, what is found in squares but not in diamonds is ().
A. diagonal bisection. B. Diagonal lines are equal.
C. Diagonal lines are perpendicular to each other. D. A diagonal line bisects a set of diagonal lines.
2. In the same rectangular coordinate system, the images of functions y=kx-k and (k≠0) are roughly ().
3. The picture shows the shadow length of a telephone pole at different times of the day. Try to arrange it in the order of the day. The correct one is a.1234b.4132c.4231d.4321.
4, there is a physical map, then its main point is ()
As shown in the figure, there is a monitor at the eave E outside the school gate.
There are landing billboards in front of the house, so the blind spot of the monitor is ()
A.△ Ace B. △ BFD C. Quadrilateral BCED d .△ Abd
6. There are two groups of playing cards with three cards in each group. The numbers on the cards are 1, 2, 3.
Randomly draw a card from each group, and the probability that the sum of numbers equals 4 is ()
A.B. C. D。
7. As shown in the figure, D is the midpoint of the AC side in the equilateral triangle ABC, and E is on the extension line of BC.
DE = DB, if the circumference of △ABC is 6, then the circumference and area of △BDE are ().
A.B.
C.D.
8. As shown in the figure, divide the rectangular ABCD into 15 squares with equal size.
E, F, G and H are next to AD, AB, BC and CD respectively.
It is the vertex of a small square. If the area of the quadrilateral EFGH is 1,
Then the area of rectangular ABCD is ()
The second century BC.
9. As shown in the figure, △ABP and △CDP are two congruent equilateral triangles.
There is also PA⊥PD. There are four conclusions as follows:
①∠PBC = 15； (2) AD ‖ BC;
③ The straight PC is perpendicular to AB; ④ The quadrilateral ABCD is an axisymmetric figure, in which the number of correct conclusions is () a.1b.2c.3d.4.
10, prepare two square pieces of paper with the same size but different patterns, fold each piece of paper in half, cut it open, put four pieces of paper in the box, and then mix them. The probability that two pieces can be randomly selected to make the original picture is ().
A.B. C. D。
2. Fill in carefully (3 points for each blank, *** 18 points)
1 1, as shown in figure 1, and point p is a point on the inverse proportional function.
If the PD⊥ axis is at point D, the area of △POD is;
12, as shown in figure 2, a square ABCD with a side length of 3 is wound around point C.
Rotate 30 degrees clockwise to get a square EFGH,
If EF intersects with AD at H point, the length of DH is _ _ _ _ _ _ _ _;
13, the proposition "The bisectors of the two base angles of an isosceles triangle are equal"
The inverse proposition is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _;
14, the root k of a quadratic equation with one variable
The value range of is _ _ _ _ _ _ _ _ _ _ _ _;
15, as shown in Figure 3, is called
∠ b = 20, then ∠ = _ _ _ _ _ _ _ _;
16 As shown in Figure 4, in a room, there is a ladder against the wall, and the vertical distance from the top of the ladder to the ground is Ma = 5m. At this time, the inclination angle of the ladder is 75. If the bottom of the ladder does not move and the top of the ladder leans against the opposite wall, the vertical distance NB from the top of the ladder to the ground is 4m and the inclination angle of the ladder is 45. Then the width AB of the house is _ _ _ _ _.
Meditation (6 points for each question, *** 12 points) 17,
18、
Draw a picture happily (7 points for each question, *** 14 points)
19, opposite the street lamp, with a glass curtain wall, in front of which is
There is a potted flower and a tree on the ground. At night,
The curtain wall reflects the light of street lamps, forming the shadow of potted flowers.
As the picture shows, the shadow of the tree is formed by street lamps.
Please determine the position of the street lamp light source at this time.
20. Draw three views of this physical map at the location specified below.
Patience (9 points for each question, *** 18 points)
2 1, as shown in the figure, e is called the DC edge in the parallelogram ABCD.
A point on the extension line, and ce = DC, are connected to AE respectively.
BC and BD are at points F and G, connecting AC to BD to O, and connecting OF.
Verification: AB = 2of.
22. The images of proportional function and inverse proportional function intersect at point A and point B, and the intersection point of point A is known.
The coordinate is 1, and the ordinate of point B is -3. (1) Find the coordinates of point A and point B; (2) Write the expressions of these two functions.
23.(07 9: 00 Jiangxi) Tickets for the 2008 Beijing Olympic Games began to be reserved by the public. The following table shows the ticket prices of several ball games published on the official ticketing website of Beijing Olympic Games. A fan intends to reserve 65,438+00 tickets for the events listed in the table below with 8,000 yuan. (1) How many tickets can he book if all the funds are used to book tickets for men's basketball and table tennis? (2) If he wants to book the following three kinds of tickets within the existing fund of 8,000 yuan, and the total number of tickets for men's basketball is the same as that for football, and the cost of table tennis tickets is not more than that for men's basketball, how many tickets for each of the three kinds of tickets can he book?
Ticket price of competition events (yuan/field)
Men's Basketball Team 1000
Football 800
Table tennis 500