The arithmetic square root of 2.8 1 is _ _ _ _, = _ _ _ _ _.
3. The positive integer solution of inequality -4x ≥- 12 is.
4. In order to make it meaningful, the value range of X is _ _ _ _ _ _ _ _.
5. In △ABC, it is known that both sides A = 3 and B = 4, so the value range of the third side C is _ _ _ _ _ _ _ _.
6. If one side of an isosceles triangle is equal to 5 and the other side is equal to 8, then the circumference is _ _ _ _ _ _ _.
7. As shown in the figure, please add a condition to make AD‖BC.
Seven math test questions (experimental area of curriculum reform)
Contributed by Wang Dairun of Jianyang Ping Middle School in Xingshan County, Hubei Province.
1. Multiple choice questions (3 points for each question, 30 points for * * *)
The degree of 1. polynomial 3x2y+2y- 1 is ().
A, 1 time b, 2 times c, 3 times d, 4 times
2. The volume of a square with side length a is a3. If the side length is doubled, the volume is ().
a、2a3 B、8a3 C、 16 a3 D、a3
3. According to the data of the fifth national census in 2000, the total population of China is1295,330,000, with an accuracy of ().
a、 1.30× 109 B、 1.259× 109 C、 1.29× 109 D、 1.3× 109
4. The following four groups of numbers are the lengths of three sticks, and the one that can't be spelled into a triangle with them is ().
a、3cm、4cm、5cm B、 12cm、 12cm、 1cm C、 13cm、 12cm、20cm D、8cm、7cm、 16cm
5. It is known that the degrees of the three internal angles of △ABC are A, 2a and 3a respectively. This triangle is () triangle.
A, acute triangle B, right triangle C, obtuse triangle D, uncertainty
6. The national flag is the symbol of a country, and the national flags of the following four countries are not axisymmetric ()
A, Vietnam b, Australia
C, Canada d, Cambodia
7. Which of the following pictures can roughly reflect the speed change of sprinters from the starting point to the end point in the competition ()
A, B, C, D,
8. As shown in the figure, △ Abd△ CBE is known, and the following conclusion is incorrect ().
a、∠CBE=∠ABD B、BE=BD C、∠CEB=∠BDE D、AE=ED
9. Fold a rectangular piece of paper in half, then fold it in half and tear off a corner of the rectangle. The opened graph must have a () axis of symmetry.
A, a b, two c, three d and four.
10. There are two kinds of floors in the room, of which the area of the black floor is half that of the white floor, and there is a treasure hidden under the floor. The probability of hiding under the white floor is ()
a、 1 B、C、D、
I will fill it out. (3 points for each small question, *** 15 points)
1 1.22+22+22+22=____________。
12. When two sides of a triangle are 5cm and 8cm respectively, the range of the length of the third side is _ _ _ _ _.
13. The height of a triangle is x, the length of its base is 3, and the relationship between the triangle area s and the height x is _ _ _ _ _ _ _ _ _ _.
14. As shown in the figure, O is the midpoint between AB and CD, so the reason for △ OAC △ OBD is _ _ _ _ _ _ _.
15. There are two red balls, three white balls and five black balls in the schoolbag. Choose a ball from them, and the probability of touching the red ball is _ _ _ _ _.
Three. Problem solving (6 points for each small question, ***24 points)
16.(2mn+ 1)(2mn- 1)-(2m2n 2+2)
17. There is a question "Calculate the value of (2x3-3x2y-2xy2)-(x3-2xy2+y2)+(-x3-3x2y-y2), where x =, y =- 1." A classmate mistakenly copied X = as X =-, but his calculation result is also correct. What do you think is going on?
18. As shown in the figure, AB‖CD and straight line EF intersect AB and CD at points E and F, respectively. EG bisects ∠BEF and intersects CD at point G, ∠ EFG = 500, so find the number of times ∠BEG.
19. Kobayashi accidentally broke a triangular glass (as shown in the figure) on the door of the decorative cabinet while helping grandma clean. Kobayashi decided to use his pocket money to buy a glass of the same size in a glass shop for his father to install.
(1) Please use a ruler to help Xiao Lin draw a figure identical to the original triangle in the box below. (Don't write, leave traces of painting)
(2) Kobayashi found the glass shop with the drawings. The salesgirl measured it, and the three sides of the triangle were 20cm,15cm and 25cm respectively. The salesman said that the glass was sold by the square. Please help Xiao Lin estimate how many square meters it takes to buy a piece of glass of the same size.
4. Answer the questions. (7 points for each small question, ***2 1 point)
20. The picture below shows several 4×4 squares. Please draw four different divisions along the grid line and divide it into two congruent figures.
2 1. As shown in the figure, AB‖CD, AE = CF, ED‖BF, what do you think of △ ABF △ CDE in the figure? Please provide a justification for the answer.
22. Note that this short question provides two optional questions. Please answer any of the following 22- 1 and 22-2 questions, and do one more question without scoring.
22- 1. This painting is part of the butterfly pattern. Please draw another part of the pattern to make it take L as the symmetry axis. At this time, you will get a complete pattern of a beautiful butterfly. Give it a try. (non-writing method)
22-2. The picture below shows the time displayed by the electronic clock in the mirror. When do you think the actual time should be? Draw it in the back.
5. Answer the questions. (Each small question 10, ***30)
23. The following table is a statistical table of population density in China (population density is the population per square kilometer). Please draw a statistical map, as vivid as possible. And tell me what information you can get from the picture.
year
1949
1959
1969
1979
1989
1999
2003
population density
57
70
84
102
1 18
13 1
134
24. Analyze the relationship between variables reflected in the figure below, imagine an actual situation suitable for it, and write it out for everyone to share.
25. Choose one of the following two questions to answer.
25- 1. Xiao Ke plays games with Xiao Ai. Xiaoke has a group of cartoons, one is Mickey Mouse, and the other two are Snoopy. Let Xiao Ai draw two pictures from among them. If Mickey Mouse and Snoopy are taken away, Xiao Ai loses and Xiao Ke wins. Is the game fair? What are the chances of Xiao Ai winning?
25-2. Both China Sports Lottery and China Welfare Lottery have 3D gameplay, and the gameplay is a note by 2 yuan. If the selected three digits are the same as those drawn in the lucky draw, you will get a bonus of 1 0,000 yuan. Would you please explain the winning probability of this game with your knowledge? How many bets do I have to buy to win the prize? How to buy?
Reference answer: (There is no unique answer to the question about drawing in this answer, and this answer is for reference only)
1. Multiple choice question: CBADB BADBD
2. I will fill in:11.1612. More than 3 and less than 13 13. S = x 14。 A triangle with two equal angles is congruent.
3. Fill in the blanks:16.2mn2317. The original formula is simplified to -6x2y-2y2, and x2 is the same whether X is or-. 18.650
19.0.05438+05m2
IV.20. (The answer is not unique)
2 1.ED‖BF gets ∠ AFB = ∠ CED, AB‖CD gets ∠ A = ∠ C; Ae = cf plus EF on both sides can get af = ce. According to the corner theorem, two triangles can be congruent.
22.
( 1) (2)
V.23 (The answer is not unique)
As can be seen from the picture, the population of our country is increasing. Since 1999, population growth has been slow under the control of the state. (as long as it makes sense)
24. (The answer is not unique) Xiaoming went to school. After walking for a while, he saw an acquaintance and chatted with him for a while. He found that he was going to be late. After saying goodbye to his acquaintances, he hurried to school.
25.( 1) The game is unfair, and the probability that Xiao Ai will win is.
(2) The probability of winning the 2)3D grand prize is that if you want to win the grand prize, you must buy at least 1000, from 00 1 to 999.
8. If the cube root of a number is itself, then the number is.
9. The coordinates of the point P (-2, 1) moving up by 2 units are.
10. Observe the following equation, =2, =3, =4. Please write a list containing n (n >); The equation of 2) represents the general formula of the above laws:.
Students, I am Fuwa Jingjing. What's the answer to Huanhuan's question? I'm in trouble. The teacher gave me some multiple-choice questions. I didn't meet the teacher's requirements, and I couldn't get the logo. It's all up to you (***20 yuan, two yuan for each question).
1 1. The Olympic Games need a polygonal tile to lay a seamless floor. The purchased tile shape cannot be ().
A, equilateral triangle; B, square; C, regular octagon; Regular hexagon
12, with the following statement:
(1) irrational number is an inexhaustible number; (2) Irrational numbers are infinitely cyclic decimals;
(3) Irrational numbers include positive irrational numbers, zero irrational numbers and negative irrational numbers; (4) Irrational numbers can be represented by points on the number axis. The correct statement is ()
A. 1
13, in,, 3. 14, 2+,-,0, 1.2666 ..., the number of irrational numbers is ().
A.3 B. 4 C. 5 D.6
14. Known
a . a+5 & gt； b+5？ B.3a>。 3b； C.-5a >-5b？ d . >；
15. Let "●", ▲ "and ■" represent three different objects and weigh them twice with a balance, as shown in Figure 2. Then, these three objects are arranged as () in descending order of mass.
A.■●▲ B. ■▲● C. ▲●■ D. ▲■●
16, if the solution set of the inequality group is-1≤x≤3, the correct representation in the figure is ().
17, given that point M(3a-9, 1-a) is in the third quadrant, and its coordinates are integers, then a= ().
A. 1
18, Beijing will hold an Olympic commemorative stamp exhibition. If each person has three stamps, there will be 24 more. If there are four stamps per person, there will be 26 less stamps. The number of stamps on display is: ()
a、 174 B、 178 C、 168 D、 164
19. In order to welcome the Olympic Games and protect the ecological environment, a county in our province responded to the national call of "returning farmland to forests" and changed part of cultivated land into forest land. After the change, the forestland area and cultivated land area * * * are 180 square kilometers, and the cultivated land area is 25% of the forestland area. In order to find out how many square kilometers the forestland area and cultivated land area are after the change. Let the changed cultivated land area be x square kilometers and the forestland area be y square kilometers. According to the meaning of the question, list the following four equations, of which the correct one is ().
A B C D
20. In an Olympic knowledge contest, there are 20 multiple-choice questions. The grading standard is: 1 5 points for the question, 2 points for the wrong 1 question, no points or points for not answering the question. Fuwa Jingjing has two unresolved issues. Answer at least a few questions correctly, and the total score will not be less than 60 points. Then Jingjing's at least correct number of questions is ().
A.7 Questions B.8, C.9 and D. 10
Third, Fuwa Beibei ran over and said to everyone, "Hurry up, the Olympic Committee is recruiting scorekeepers, scorekeepers. Let's go and have a look. " When they got there, it turned out that they were qualified. You must answer the following questions correctly. Can you do it? (**20 sheets, 5 sheets for each question)
(2 1)
(22) Solving inequality 2x- 1
(23)
(24).
Yingying brought a drawing of the Olympic venues. It is known that in △ABC, AD and AE are bisectors of the height and angle of △ABC respectively. If ∠ B = 30 and ∠ C = 50, can you help the master worker solve the following problems?
(1) Find the degree of ∠DAE. (5 pieces)
(2) What is the relationship between ∠ DAE and ∠C-∠B? (No proof required) (3 pieces)
26. Fuwa Yingying is going to buy a kitten and a puppy toy. Instead of telling Yingying the price of toys, the store gave her the following information to calculate the price of each kitten and puppy together with Yingying! (8 pieces)
A * * * to 70 yuan;
A * * * wants 50 yuan.
27.BOCOG will choose a company from A and B to print some Olympic commemorative books. A company puts forward that the design fee and processing fee are * * 1500 yuan, and each book is charged with material fee. 5 yuan: Company B proposed that each book should be charged with materials and processing fees ***8 yuan, but not design fees. The number of albums to be produced is X, which is charged by Company A..
(1) Please write down the relationship between the album number X, which represents the expenses of Company A; (3 pieces)
(2) Please write down the relationship between the album number X for making the commemorative album and the expenses (yuan) of Company B; (3 pieces)
(3) If you go to Company A and Company B to order commemorative books, which company do you think has the best price? Please write down the analysis reasons. (6 pieces)
Finally, five Fuwa took us to visit the "Bird's Nest" of the National Stadium. VIP tickets are 20% off for group tickets with more than 20 people (including 20 people) in 30 yuan. Our party has 18 people (including Fuwa). When the captain Huanhuan prepared change at the ticket office to buy 18 tickets, Jingjing, who loves thinking, stopped Huanhuan.
(1) Please calculate, is Jingjing's proposal correct? Is it really "wasteful"? (4 pieces)
(2) When the number of people is less than 20, how many people should go to the "Bird's Nest"? Is it more economical to buy 20 tickets? (8 pieces)
Dear classmate: How many badges have you collected? If you can collect more than 85 photos, you may receive Fuwa's signed photos. Work hard!