volume one
Choose one carefully first (5 12=60 points). Please write your answers in the corresponding places on the answer sheet.
1, the point (-2,4) is in the () quadrant of the plane rectangular coordinate system.
A, B, C, D, D.
2. Given a square with a side length of 2 and a diagonal length of ().
A, B, C, D,
3, in the following graphics is both a central symmetric graphics, and axisymmetric graphics is ()
A, B, C, D,
4. The point with equal distance from the three vertices of the triangle is ()
A, the intersection of three angular bisectors b and the intersection of three center lines
C, the intersection point d of three heights and the intersection point of the vertical lines of three sides.
5, in the following formula, the correct is ()
A, yes; B, yes; C, yes; d、
6. If the sum of the connecting lines of the midpoints of three sides of a triangle is 8, the perimeter of the triangle is ().
a、2 B、4 C、 16 D、24
7. As shown in the figure, it is known that the circumference of diamond-shaped ABCD is 16, ∠ABC=60? The area of the diamond is ()
A, B, C, D,
8. As shown in the figure, in △ABC, CF⊥AB is in F and BE⊥AC is in E.
M is the midpoint of BC, EF=5, BC=8, so the circumference of △EFM is ().
a、2 1 B、 18 C、 13 D、 15
9. Among the following six numbers:, 0,-,9.181811165438 ... where the irrational number is ().
a， 1； b，2； c，3； d，4
10. The ages of the 22 players in China's men's soccer team are shown in the following table:
Age/year141516171819.
Number 2 1 3 6 7 3
The modes and median ages of these players are () respectively.
a、 18、 17 B、 17、 18 C、 18、 17.5 D、 17.5、 18
1 1. When the linear function is known, increase 3 and decrease 2, and the value is ().
A, B, C, D,
12, as shown in the picture, the eighth-grade students of a school went for a spring outing in the suburbs 6 kilometers away from the school. Some students walk, while others ride bicycles and follow the same route. As shown in Figure Ll and L2, the function images between the distance y(km) and the time x(min) for students to reach their destination on foot and by bike respectively are shown, and the following judgment is wrong ().
A, students who ride bicycles walk 30 minutes later than students who walk;
B, the walking speed is 6 km/h;
C, it took the cyclist 20min minutes to catch up with the students on foot.
D. cyclists and pedestrians arrive at their destination at the same time.
Haizhou experimental middle school eighth grade mathematics examination questions 2005.438+02
Title: Chloe Wang Reviewer: Wei Yuchun
I solemnly promise:
Abide by the principle of good faith in the examination, consciously restrain and standardize your words and deeds, and strictly abide by the examination discipline.
Commitment: _ _ _ _ _ _ Category: _ _ _ _ _ _ _
Volume II
First, choose an answer carefully: (5 points × 12 = 60 points)
The title is123455678911112.
election
Second, fill in carefully: (9 points +5 points +5 points +5 points = 34 points)
The square root of 13 is _ _ _ _ _ _ _, and the arithmetic square root is _ _ _ _ _ _ _ _; The cube root of-125 is _ _ _ _ _ _ _ _;
14. Write a linear function expression that satisfies both of the following conditions (write only one) _ _ _ _ _ _ _;
(1) decreases with the increase of; (2) Image passing point (1, -3)
15, as shown on the right, the number represented by point A on the number axis is
16, image of known linear function () and two coordinate axes.
The area of the triangle is 1, so the constant is _ _ _ _ _ _ _ _;
17, and the symmetrical point of a point about the axis is (2,3), then the coordinate of the symmetrical point of point p about the origin is _ _ _ _ _ _ _ _ _;
18, please complete the system of binary linear equations, so that its solution is
Third, comprehensive answer questions
19, as shown in the figure, it is known that every small square on the grid paper is the same square, and ∠AOB is drawn on the grid paper. Please mark a point P on the vertex of the small square, so that P falls on the bisector of ∠AOB as the bisector of this angle. (8 points)
20.(8 points) As shown in the figure, when the five fingers are opened as far as possible, the distance between the fingertips of the thumb and the little finger is called the finger distance. A study shows that, generally speaking, a person's height H refers to a linear function of distance D. The following table is a set of data of measured finger distance and height:
Finger distance d (cm) 20 2 1 22 23
Height h (cm)160169178187.
(1) Find the function expression between h and d (the range of independent variable d is not required).
(2) China NBA player Yao Ming is 226cm tall. What is the distance between his fingers? (accurate to 0. 1 cm)
2 1, (10) ABCD, AB‖CD, AD = BC, E is the midpoint of the base AB, is DE equal to EC? Why?
22.( 15) There was 42 liters of oil in the fuel tank of a motor vehicle before departure. After driving for several hours, I added a few liters of oil at the gas station on the way. The functional relationship between the remaining fuel quantity Q (liter) in the fuel tank and the driving time T (hour) is shown in the following figure. Answer the questions according to the picture below:
(1) How many hours after driving?
(2) The functional relationship between the remaining fuel quantity Q before refueling and the driving time T is:
The value range of the independent variable t of this function is;
(3) refueling in the middle;
(4) If the gas station is 230 kilometers away from the destination and the speed is 40 kilometers per hour, is there enough oil in the fuel tank to reach the destination? Please explain the reason.
Answer: (1) _ _ hours. (2 points)
(2)______________________ , _____________________ ; (4 points)
(3) _ _ _ liters. (2 points)
(4) I think: _ _ _ _ _ _ _ _; (2 points)
The reason is: (5 points)
23. Choose the questions (the first question 10, the second question 15. Note: if you do both questions, this big question will be scored according to the lowest score)
I want to put a wooden stick with a length of 120cm, a height of 30cm and a width of 40cm in a wooden box. Can I put it in? Please explain the reason. (It is best to draw a schematic diagram)
(2) As shown in the figure, in the rectangular coordinate system, the first time, the second time and the third time will be transformed into. It is known that A (1, 3), A1(2,3), A2 (4 4,3), A3 (8 8,3);
B(2，0)，B 1(4，0)，B2(8，0)，B3( 16，0)。
(1) Observe the changes of triangles before and after each transformation, find out the rules, and then transform them into, The coordinates of point A4 are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
(2) If the rule found in the problem (1) is transformed n times, we can get and compare the changes of the triangle in each change, and find out that the coordinates of the rule guessing point are _ _ _ _ _ _ _ _ _ _ _ _.
Dear classmate: Congratulations, you have finished this paper. Take time to check and strive for better results.
Suzhou No.12 Middle School Grade Three Mathematics Final Examination Paper
Examination time: 120 minutes, full mark: 130 minutes.
First, multiple-choice questions (3 points for each question, *** 18 points)
The title is one two three four five six.
answer
1, there is no real root in the following equation ()
a、x2+ 15x+8=0 B、x2- 12x+ 10=0 C、x2-x+ 1=0 D、x2+7x-5=0
2, the following statement is correct ()
A, because the dice are thrown twice in a row, and the face of the number 6 is facing up, the probability of throwing "6" every time in the future is 100%.
B, because the winning rate is 1%, buying a lottery ticket with 100 will definitely win the prize.
C. The chance of winning the sports lottery is one in a million, so no matter how many bets you buy, you won't win the grand prize.
D. Randomly select one of the numbers 10 from 0 to 9, and the probability of not being 9 is 9 10.
3, if a > 0, b > 0, c > 0, then the position of the image of quadratic function in rectangular coordinate system may be ():
4. As shown in the figure, if the central angle ∠ BOC = 100, the central angle ∠BAC is ().
A.50
B. 100
C. 130
D.200
5. Take the wall as one side and the material with the length of 13m as the other three sides to form a rectangular small garden with an area of 20m2. The length and width of this rectangle are ().
A, 5m, 4m B, 8m, 2.5m C, 10m, 2m D, 5m, 4m or 8m, 2.5m.
6. The center of the circumscribed circle of the triangle is: ()
A. the intersection of three heights B. the intersection of three angular bisectors
C. The intersection of three perpendicular bisector
II. Fill in the blanks (3 points for each blank, 36 points for * * *)
7. The range of independent variables in the function is
8. Translate the parabola to the right by 1 unit, and then translate it up by 3 units. The expression of the parabola is.
9. The picture on the right shows the head of a bear, which reflects the positional relationship between four circles, but one of them is not reflected. Please write down this positional relationship, which is _ _ _ _ _ _ _ _.
10, and the graph connecting the midpoints of each side of the parallelogram in turn is
1 1800 people in the city 1600 people sampling survey. The capacity of this sample is _ _ _ _ _
12, if ⊙O and ⊙ are tangent, and their radii are 5 and 3 respectively, then the center distance is.
13, Class 1, Grade 7, a school, there are 30 boys and 28 girls, including 18 boys and 20 girls. The probability of randomly selecting a student is.
14, the equation about x is known. If its two roots are mutually opposite numbers,
So m =
15, and the lengths of two known right angles are 6cm and 8cm respectively, which is the radius of its inscribed circle.
For cm.
16, as shown in the figure, AC⊥BC is at point C, BC=a, CA=b, AB=c, and ⊙O is tangent to straight lines AB, BC and CA, so the radius of ⊙O is equal to.
Question 10
17, as shown in the figure, the parabola is the image of quadratic function, and the value is.
18. If a sector with a radius of 5 and a surface area of 15 is rolled into a cone, the height of the cone is.
Iii. Answer questions (***76 points):
19, (5 points) Solve the equation: +X- 1 = 0.
20.(5 points) Solve the equation:
2 1, (6 points) In the rectangular coordinate plane, the vertex of the quadratic function image is that it passes through this point.
(1) Find the analytic expression of quadratic function;
(2) Translate the quadratic function image by several units to the right, so that the translated image can pass through the coordinate origin. And directly write the coordinates of another intersection point between the translation image and the axis.
22.(6 points) The image of quadratic function is shown in the figure. Answer the following questions according to the pictures:
(1) Write two roots of the equation.
(2) Write the solution set of inequality.
(3) Write the range in which the independent variable decreases with the increase.
23.(8 points) As shown in the figure, three triangles and two squares are drawn on the same five pieces of paper. After mixing evenly, two tablets were randomly selected. If you put them in a diamond, you will win; if you put them in a house, you will win; if you put them in a rectangle, you will win. Do you think this game is fair?
Building rhombic rectangle
24.(8 points) As shown in the figure, it is known that the diameter ⊙ is a chord, tangent to ⊙ at the point, and the extension line of intersection is at the point,,.
(1) Verification:;
(2) Find the radius of ⊙.
25.(8 points) There are 600 households in a residential area in Suzhou, and the relevant departments are going to transform the water pipe network system in this residential area. Therefore, it is necessary to know the tap water consumption in this area. Through random sampling, the department investigated 30 families and learned that there were 90 people in these 30 families.
(1) The average number of these 30 families is one person.
(2) See the table below for the monthly water consumption of these 30 households:
Seek the per capita daily water consumption of these 30 households; (30 days a month)
(3) According to the above data, try to estimate the daily water consumption of the community. (accurate to 1m3)
26.(8 points) As shown in the figure, AB = AE, ∠ ABC = ∠ AED, BC = ED, and point F is the midpoint of the CD. Evidence: AF⊥CD.
27.( 10) As shown in the figure, in △ABC, AB=AC= 1, and points D and E move on the straight line where BC is located, let BD=x, CE = Y ... (1) If ∠ BAC = 30, ∠.
(2) If ∠BAC =α∠DAE =β, the relationship between Y and X in (1) still holds when α and β satisfy any relationship. Please explain the reason.
28.( 12 point) As shown in the figure, a circle with a diameter of in the middle passes through the point, and the vertical foot is.
(1) Verification: Tangent ⊙;
(2) If the extension line passing through the point and intersecting the parallel straight line is at the point, connect the point. If it is an equilateral triangle, find the degree.
Su ke printing plate horizontally stacks the simulation examination questions at the end of the eighth grade of junior high school mathematics.
(Examination time: 120 minutes, full mark: 150)
(Proofreading Zhang Zhengjun)
(Volume I)
First, multiple-choice questions (fill in the serial number of the correct answer in the table below, 3 points for each small question, 36 points for * * *)
The title is123455678911112.
answer
1, in the figure below, the symmetry axis is the most ().
(a) Square (b) equilateral triangle (c) isosceles trapezoid (d) isosceles triangle
2, the following graphics, both axial symmetry graphics and central symmetry graphics is ().
、
3, the following statement is correct ()
① Irrational numbers are infinite decimals; The square root of ② is 2; ③ The rhombus with equal diagonal lines is a square; ④ =( ) ; ⑤ The number corresponding to the point on the number axis is a real number.
One, two, three, four, five
4. The parallelogram divides it into triangles that can completely overlap. The logarithm of the two diagonals is ()
A, 2 pairs of B, 4 pairs of C, 6 pairs of D, 8 pairs.
5. The following statement about trapezoid is true ()
The two diagonals of a trapezoid are equal. B, the quadrilateral with diagonal lines bisecting each other is a trapezoid.
C, only a group of quadrangles with parallel opposite sides is a trapezoid D, and the two bottom angles of the trapezoid are equal.
6. The perimeter of the parallelogram ABCD is 40cm, the perimeter of △ABC is 25cm, and the length of diagonal AC is ().
A, 5cm b,15cm c, 6cm d,16cm
7. The square has the characteristic that the rectangle does not necessarily have ().
All four corners of A are equal, all four sides of B are equal, the diagonal of C is equal, and the diagonal of D is equally divided.
8, the following can form a right triangle with three sides is ()
A 1，2，3 B 2，3，4 C 3，4，5 D 4，5，6
9, function y =-2x-5 image without ()
A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant
10. Fold a rectangular piece of paper in half and then fold it in half (as shown in the figure), and then cut it along the dotted line in the figure to get ① and ②. (1) the plane figure obtained after expansion is ().
(a) rectangle (b) triangle (c) trapezoid (d) diamond
1 1. If the average value of a set of data is 2003, then
…, the average value of this set of data is:
a、 1999 B、2000 C、2005 D、2008
12. Point P moves on the side of a square with a side length of 1 in the order of A→B→C→M, where m is the midpoint of the CD side. Let the distance x traveled by point P be the independent variable and the area of △APM be y, then the approximate image of function y is ().
(Volume II)
II. Fill in the blanks (3 points for each blank, ***24 points)
1 1. If the outer angle of an isosceles triangle is equal to, its base angle may be equal to.
The arithmetic square root of12,49 is _ _ _ _, the square root is _ _ _ _, and the cube root -27 is _ _ _ _.
13, if += 0, then xy=.
14, as shown in the figure, in the isosceles trapezoid ABCD, AB=4, CD= 10,
Then the coordinates of each vertex are b, c and d (0,0).
15, you will add to make the parallelogram ABCD a diamond.
16. As shown in the figure, quadrilateral ABCD is a square, and point E is on the side of AD. △BCF can be regarded as the rotation of △BAE around point B, and △BEF is a triangle.
17, and the linear function y =-2x+b intersects the x axis at (4,0), then its intersection with the y axis is, and the coordinates of the intersection with the straight line y=x are.
18, one PE exam in a class, 4 students 100,190 students,1/80 students, 8 students 70, 5 students 60 and the remaining 8 students * * 1), the mode is, and the median is.
19, the side length of the diamond is 2cm, and the inner angle is 600, so the diagonal length of the diamond is _ _ _ _ cm.
20.a and B are 3 kilometers apart and heading for the same goal at the same time.
Go straight at a constant speed and reach your destination at the same time. The speed ratio of a is known.
B come on, please judge according to the image:
(1) The straight line in the diagram represents a;
(2) The speed of B is kilometers per hour.
_______________。
Three, the calculation problem (8 points)
2 1, calculated by calculator: (accurate to 0.0 1)
Four, painting questions (8 points)
22. There are two factories, A and B, on the L side of the expressway. If you want to jointly build a warehouse beside the expressway, please determine the location of the warehouse according to the following requirements:
(1) The distance between the two factories and the warehouse is equal;
(2) The sum of the distances from the two factories to the warehouse is the shortest.
Verb (abbreviation of verb) solving problems (8 points for each small question, * * * 40 points)
23。 The known quadrilateral ABCD is a parallelogram as shown in the figure, and ∠EAD=∠BAF.
(1) Try to explain: △CEF is an isosceles triangle;
(2) Which two sides of △ cef are exactly equal to the circumference of □ABCD? Explain why.
24。 Read and understand the following materials:
As shown in the figure, in △ABC, D and E are the midpoint of AB side and AC side of △ABC, connecting D E..
We call line segment DE the center line of a triangle, which has the following characteristics.
Attribute: DE‖BC, de = BC.
Please use this conclusion to complete the following questions:
As shown in the figure, e, f, g and h are known as the midpoint of the four sides of the quadrilateral ABCD, which connect the points in turn.
(1) Guess the shape of the quadrilateral EFGH and explain the correctness of your guess.
(2) When the diagonal of quadrilateral ABCD meets what conditions, quadrilateral EFGH?
Is it rectangular (no need to explain why)?
(3) Excuse me, when the diagonal of quadrilateral ABCD meets what conditions, quadrilateral EFGH?
Is it a diamond (no need to explain why)?
(4) Excuse me, when the diagonal of quadrilateral ABCD meets what conditions, quadrilateral EFGH?
Is it a square (no need to explain why)?
25. As shown in the figure, in Rt△ABC, ∠ ACB = 90, ∠ BAC = 60, DE bisects BC vertically, with the vertical foot of D, AB intersecting with E, and another point F on the extension line of DE, AF=CE. Guess what shape the quadrilateral ACEF is? Explain why.
26. As shown in the figure, the pattern "a" in figure (1) is transformed into the corresponding pattern in figure (2) to figure (6) (the dotted line corresponds to the original pattern) in the rectangular coordinate system.
Try to write the coordinates of each vertex in Figure (2) to Figure (6), and explore what changes have taken place in the pattern before and after each transformation, and what is the relationship between the coordinates of the corresponding points?
We know that a triangle with two equilateral sides is called an isosceles triangle. Similarly, we define a quadrilateral with at least one set of equilateral sides as an equilateral quadrilateral.
(1) Please write the graphic name of equilateral quadrilateral in the special quadrilateral you have learned;
(2) As shown in the figure, in the figure, the points are above each other, so that they intersect at the point. If yes, please write an equilateral in the picture and guess which quadrilateral in the picture is an equilateral quadrilateral;
(3) If it is not equal to the acute angle, click on the top to explore whether there is an equilateral quadrilateral in the graph that meets the above conditions and prove your conclusion.
VI. Practice and Application (10 score)
28。 A newsstand in Taizhou ordered an evening paper from a newspaper at a price of 0 per copy. 7 yuan, the price is per copy 1 yuan. Newspapers that cannot be sold can also be sold at zero. The price in 20 yuan returned to the newspaper. Within one month (calculated as 30 days), you can sell 100 copies every day for 20 days, and 60 copies every day for the remaining 10 days, but the newsstand must order the same number of newspapers from the newspaper office every day. If the number of copies ordered by the newsstand from the newspaper every day is X, then the monthly profit is Y.
(1) Write the functional relationship between Y and X, and point out the value range of the independent variable X;
(2) How many newspapers should the newsstand order from the newspaper office every day to maximize the monthly profit? What is the maximum profit?
29. In order to protect the environment, Liang Xiao, the environmental protection team of our school, collects waste batteries. On the first day, we received 4 batteries 1 and 5 batteries with a total weight of 460 grams. The next day, we received 2 batteries of Kloc-0 and 3 batteries of 5, with a total weight of 240 grams.
(1) 1 How many grams does the No.2 battery weigh?
(2) In order to estimate the total weight of waste batteries collected in April, the school environmental protection team randomly selected the number of waste batteries collected on a certain day of that month, as shown in the following table:
1 waste battery (part) 29 30 32 28 3 1
No.5 waste battery (part) 5 1 53 47 49 50
Calculate the average number of two kinds of waste batteries in these five days and estimate the income of the environmental protection team this month.
What is the total weight of waste batteries? (12)
30. As shown in the figure, the side length of the square ABCD is a, the hypotenuse AE of the isosceles right triangle FAE is 2b, and the sides AD and AE are on the same straight line.
Operation example
When 2b < a, as shown in figure 14- 1, select point g on BA, make BG = b, connect FG and CG, cut off △FAG and △CGB, and splice them to the positions of △FEH and △CHD respectively to form quadrilateral FGCH. ..
Thinking and discovering
After Xiao Ming's operation, he found that the shear splicing method is to rotate △FAG counterclockwise around point F by 90 to the position of △FEH, so it is easy to know that EH and AD are on the same line. The connection CH, DH=BG can be obtained by shear splicing method, so △CHD △△ CGB can rotate 90 clockwise around point C to the position of △ CHD. For the quadrilateral FGCH obtained by cutting and splicing (as shown in figure 14- 1), the FM⊥AE (abbreviated) whose point F is point M can be judged by SAS axiom, and FH=HC=GC=FG and ∠ FHC = 90 can be easily obtained.
Practical inquiry
The area of (1) square FGCH is; (expressed by a formula containing a and b)
(2) Compared with the cutting and splicing method in figure 14- 1, please draw a schematic diagram of cutting and splicing a new square in three cases: figure 14-2- figure 14-4.
Lenovo development
Xiao Ming found that when b≤a, all these figures can be cut into squares, and the position of the selected point G moves up in the direction of BA with the increase of B.
When b > a, can the figure shown in figure 14-5 be cut into squares? If you can, please draw a schematic diagram of cutting and spelling in the picture; If not, briefly explain the reasons.