First, multiple-choice questions (4 points ×6=24 points)
1, if k > 0, point P (-k, k) is at ().
A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant
2. Xiaoming's scores in the fifth long jump (in meters) are: 3.6, 3.8, 4.2, 4.0, 3.9, and the median of this set of data is ().
a、3.9 B、3.8 C、4.2 D、4.0
3. The following is correct ()
A, B, C, D,
4. The image with a given linear function y=kx+b is as shown in the figure, and the value range of k and b is ().
a、k & lt0，b & gt0 B、k & lt0，b & lt0 C、k & gt0，b & gt0 D、k & gt0，b & lt0
5, about the image of the function, the following statement is wrong ()
A, passing through the point (1,-1) b, in the second quadrant, y increases with the increase of x.
C is an axisymmetric figure, the axis of symmetry is Y axis D, and the center of symmetry is the origin of coordinates.
6. In rtδABC, ∠ ACB = 90, e is a point above AB, and BE=BC. If E is DE⊥AB, AC is D, and if AC is 5 cm, then AD+DE= ().
3 cm b, 4 cm c, 5 cm d, 6 cm
Two. Fill in the blanks (4 points × 12=36 points)
7. When is, the value of the score is 0.
8. It is known that the density of air is 0.00 1.239 g/cm3, which is expressed by scientific notation.
9. The temperature range of a day in the inland area is, if the lowest temperature is, the highest temperature is _ _ _ _ _.
10, function: the value range of independent variable x is
1 1, move the straight line y=-2x+3 up by 2 units to get a straight line.
12. Take any point m on the inverse proportional function image and cross it into the y axis respectively. The vertical line and vertical foot of the X axis are P and Q, respectively, then the area of the quadrilateral OPQM is
13, as shown in the figure: AE‖BF, ∠E=∠F is known. To make △ ade △ BCF, the following conditions can be added.
The image of 14 and function y = kx passes through points (2,5) and (x 1, y 1) and (x2, y2), so when x 1 < x2, y 1 y2.
15, the linear function y = (2-k) x+2 (k is a constant), and y increases with the increase of x, then the value range of k is
16, the variance of data 14, 16, 12, 13, 15 is
17, the inverse proposition of the proposition "complementary adjacent angle" is
18, as shown below, divide a square piece of paper into four small squares with equal areas, and then divide a small square into four small squares with equal areas. After this division, after the sixth division, * * * has been _ _ _ _ _.
……
Third, answer questions.
19. Calculation:-12008-(-1) 0+|-3 | 20 Calculation:
2 1, solving the fractional equation:
22. Simplify first, then evaluate:, where x=2.
23. Given a straight line passing through two points (3, 5) and (-4, -9), find the functional relationship of the straight line.
24. As shown in the figure, on the same straight line, the middle,,,,.
(1) Verification:;
(2) You can also come to the conclusion that. (Write only one, no other line segments will be added, and no other letters will be marked or used. )
25. It is known that, as shown in the figure, in a rectangle, points overlap with each other along, along, with the three-point line and with the three-point line respectively.
Prove that the quadrilateral is a diamond.
26. As shown in the figure, set up a plane rectangular coordinate system in a square grid with a specification of 8×8. Please operate in the given grid according to the following requirements:
(1) Write the coordinates of point A and point B directly;
(2) Draw a point C on the grid point (intersection of grid lines) in the second quadrant, so that the point C and the line segment AB form an AB.
The bottom is an isosceles triangle, and the waist length is irrational. Find the coordinates of point C;
(3) Take the vertex C of △ABC in (2) as the center of rotation, rotate △ABC by180, and draw △DEC to connect AE and BD, try to determine what special quadrilateral ABDE is, and explain the reasons.
27. Party A and Party B participated in a physical training, and the results of the last five tests are as follows:
A: 10， 13， 12， 14， 16，B: 13， 14， 12， 12。
(1) Find the average and variance of their scores respectively;
(2) Please evaluate their training results according to the above data;
(3) Who would you recommend as their coach if the sports competition of this project is held in the near future? Let's talk about our ideas.
Rent per harvester rent per harvester
Zone A 1800 yuan 1600 yuan
Zone B 1600 yuan 1200 yuan
28. Guanghua Agricultural Machinery Leasing Company * * * has 50 sets of combine harvesters, including 20 sets of A and 30 sets of B. Now these 50 harvesters are sent to Area A and Area B respectively to harvest wheat, including 30 sets of A and 20 sets of B. The daily rental prices agreed between the two areas and the company are shown in the table:
(1) Set up X combine harvesters and send them to Area A, and the rent for these 50 combine harvesters in the leasing company is Y (Yuan) per day. Find the functional relationship between y and x, and write the value range of x;
(2) If the total rent of 50 combine harvesters in the agricultural machinery leasing company is not less than 79,600 yuan a day, explain how many distribution schemes there are and design them;
(3) If you want these 50 combine harvesters to get the highest rent every day, please give a reasonable suggestion to the leasing company.
29. As shown in the figure, it is known that point C (4 4,0) is the vertex of square AOCB, and the straight line PC and AB intersect at point E, if E is the midpoint of AB.
(1) Find the coordinates of point E;
(2) Find the analytical formula of linear PC;
(3) If the point P is a moving point of the straight line PC in the first quadrant, when the point P moves to what position, there is a triangle congruent with △AOP in the graph. Please draw all the figures that meet the requirements, explain the reason of congruence, and find the coordinates of point P. ..