1, if k > 0, point p (-k, k) is in (
)
A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant
2. Xiaoming's scores in the five-time long jump (in meters) are: 3.6, 3.8, 4.2, 4.0 and 3.9, and the median of this set of data is (
)
A: 3.9
b、3.8
c、4.2
d、4.0
3. Which of the following is true (
)
A、
B,
C,
d、
4. given the linear function y=kx+b image as shown in the figure, 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 (
)
I. Transfer point (1,-1)
B, in the second quadrant, y increases with the increase of x.
C is an axisymmetric figure, and the axis of symmetry is the Y axis.
D is a central symmetric figure, and the center of symmetry is the origin of coordinates.
6. At RT Δ ABC, ∠ ACB = 90, e is a point above AB, BE=BC, and e passes.
DE⊥AB AC to D, if AC=5cm, then AD+DE= (
)
One or three centimeters
B, 4 cm
C, 5 cm
D, 6 cm
Two. Fill in the blanks (4 points × 12=36 points)
7. When ...
, the value of the score is 0.
8. It is known that the density of air is 0.00 1.239g/cm3, which is expressed by scientific notation.
Grams per cubic centimeter.
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), then 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) It can also be concluded 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， 14。
(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.
People's Education Edition, the first day of mathematics, Volume II, Chapter VI, Standard Test Paper, Seventh Grade Mathematics Chapter VI, Real Number Test Paper
_ _ _ _ _ _ _ Class Name _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
First, multiple-choice questions (3 points for each small question, 30 points for * * *)
1, the following statement is incorrect ()
A. What is the square root of11? B, -9 is the square root of 8 1 255.
C, the arithmetic square root of 0.2 is 0.04 D, and the cube root of -27 is -3.
2. If the arithmetic square root of A is meaningful, the range of A is ().
A, all numbers b, positive numbers c, non-negative numbers d and non-zero numbers
3. If x is the arithmetic square root of 9, then x is ().
a、3 B、-3 C、9 D、8 1
4, the following is correct ()
2A 、(? 2)=-2 B
、=3 C 、=8 D、22=2
5. Where is the estimated value between two integers ()
A, 75 and 77 B, 6 and 7 C, 7 and 8 D, 8 and 9.
6. In the following groups, the group with opposite numbers is ().
2A, -2 and (? 2) B, -2 and? 8 C,-1 and 2 D, -2 and 2 2
7. at -2, 4, 2, 3. 14,? 27,? Among these six numbers, the irrational number * * * has () 5.
a，4 B，3 C，2 D， 1
8, the following statement is correct ()
A, points on the number axis correspond to rational numbers one by one; B, points on the number axis correspond to irrational numbers one by one.
C, points on the number axis correspond to integers one by one; D, points on the number axis correspond to real numbers one by one.
9. The following array that cannot form the side length of a triangle is ()
a、 1，5，2 B、3，4，5 C、3，4，5 D、32，42，52
10, B2-︱ A-B ︱ equals () If the points represented by rational numbers A and B on the number axis are on the right and left of the origin respectively.
a、a B、a C、2b+a D、2b-a
Fill in the blanks (3 points for each small question, *** 18 points)
The square root of 1 1, 8 1 is _ _ _ _ _ _ _, and the arithmetic square root of 1.44 is _ _ _ _ _ _ _.
12, the arithmetic square root of a number is equal to itself, so the number should be _ _ _ _ _ _ _.
13、? The absolute value of 8 is _ _ _ _ _ _ _.
14, contrast size: 2 _ _ 42.
15, if 25.36 = 5.036, 253.6 = 15.906, then 253600 = _ _ _ _ _.
16. If the integer part of is A and the decimal part is B, then A = _ _ _ _ _ _ _ _ and B = _ _ _ _ _ _.
Iii. Answer questions (5 points for each question, 20 points for * * *)
2 17、? 27+(? 3)-? 1 18、? 27? 0? 163 ? 0. 125? 464
Find x in the following equation
19、4x2- 16=0 20、27(x-3)3=-64
Iv. (6 points for each question, *** 18 points)
2 1, if 5a+ 1 and a- 19 are the square roots of several m, find the value of m.
22. known? 3a and ︱ 8b-3 ︱ are reciprocal. Find the value of (ab) 2-27. -
23. It is known that the square root of 2a- 1 is 3, and the arithmetic square root of 3a+b- 1 is 4. Find the value of a+2b.
Verb (abbreviation of verb) (6 points in question 23, 8 points in question 24, *** 14 points)
24. It is known that m is an integer part and n is a decimal part. Find the value of m-n ..
25. There are three points A (2 2,22), B (5 5,22) and C (5 5,2) on the plane.
(1) Please determine a point D, make the quadrilateral ABCD a rectangle, and write the coordinates of the point D. ..
(2) Find the area of this quadrilateral (accurate to 0.0 1).
(3) translate the quadrilateral to the right by 2 units,
Then translate downward to find the coordinates of the four vertices after translation.
Reference answer
1. 1，c； 2、C； 3、A； 4、D； 5、D； 6、B； 7、C； 8、D； 9、D； 10、B
Second, 1 1, 9, 1, 2; 12、 1,0; 13、2; 14、