2. Cut out a small square from the geometric figure shown in the figure, so that the rest can be folded into a cube, and the square to be cut out is _ _ _ _ _ _ _.
3. The number whose square is 0.8 1 is _ _ _ _ _, and the number whose cube is -64 is _ _ _ _ _ _ _ _.
At the commendation meeting of "civilized students" in the school, each of the six winners shook hands to congratulate them, so they shook hands _ _ _ _ _ times. If there are n winners, the number of times they shake hands is _ _ _ _ _ _ _.
5. There are five straight lines intersecting (not parallel to each other) on the plane, so these five straight lines have at least _ _ _ _ _ _ _ _ _.
6. The radius of the sun is 696,000,000 meters, which is expressed by scientific symbols as _ _ _ _ _ _ _ _ meters.
7. There are five red balls, six white balls and 10 black balls in the bag. Choose the color to touch in advance. If the color of the ball you touch is the same as the pre-selected color, you win, otherwise you fail. In order to win as much as possible, you should choose colors in advance.
8. When x = _ _ _ _ _ _ the algebraic expression 2x+8 is equal to the algebraic expression 5x-4.
9. A store will increase the cost price of a certain garment by 40% and then price it, and then sell it at a 20% discount. As a result, each garment still makes a profit 15 yuan, so the cost price of each garment is _ _ _ _ _ _ _.
10. The actual meaning of algebraic expression 3a+2 is _ _ _ _ _ _ _ _.
Second, choose one carefully (3 points for each small question, 30 points for * * *)
1 1. The sum of all integers whose absolute value is less than 10 1 is ().
0 (B) 100 (C)5050 (D)200
12. The point representing the integer on the number axis is the whole point, and the unit length on the number axis is 1 cm. If a wooden stick AB with a length of 2005 cm is randomly placed on this axis, the number of whole points covered by the wooden stick AB is ().
(A)2003 or 2004
(C)2005 or 2006
13. As shown in the figure, a cell divides from 1 to 2 in 30 minutes. If this cell divides from 1 to 16, then this process will go through ().
1.5 hours; (B)2 hours; (C)3 hours; 4 hours
14. Cut a geometric figure with a plane, but the () section cannot be a triangle.
(a) Pentagonal prism (b) Quadrangular prism (c) Conical cylinder (d)
15. Build a pattern with a matchstick as shown in the figure below. The number of matchsticks needed to build the nth pattern is ().
(A)5n(B)4n+ 1(C)4n(D)5n- 1
16. Take three points A, B and C in turn on a straight line, so that AB=9cm and BC=4cm. If point O is the midpoint of line segment AC, the length of OB is ().
(a) 2.5cm (b)1.5cm (c) 3.5cm (d) 5cm.
17. When the minute hand points to 12, the hour hand just forms an angle of120 with the minute hand, which is ().
(A)9 o'clock (B)8 o'clock (C)4 o'clock (D)8 o'clock or 4 o'clock.
18. If you have 1 10,000 playing cards, the thickness of each card is the same, which is 0.5mm. Stack these cards neatly, which is roughly equivalent to the number of floors of a 5-meter-high building ().
(A) 10 floor (B)20 floor (C) 100 floor (D) 1000 floor.
19. In a deck of playing cards, wash and pick one at random. The following statement is wrong ()
(1) The possibility of winning the king is the same as the possibility of winning the heart 3.
(b) It is more likely to draw spades than kings.
(c) The possibility of drawing A is the same as that of drawing K..
(d) It is more likely to get an A than Xiao Wang.
20. Xiaoming went to the bank and deposited the principal 1 000 yuan as a one-year time deposit. After the expiration, Xiao Ming took 1, 0 18 yuan after tax. Suppose the interest tax rate is 20% and the one-year deposit rate is ().
(A)2.25% (B)4.5% (C)22.5% (D)45%
Third, think carefully (each small question 10, ***60)
2 1. Drawing with grid paper:
(1) under the grid paper, draw CD‖AB through point C, and draw CE ⊥ AB through point C in E;
(2) Draw a square CFGH with CF as one side. If the area of each cell is 1cm2, what is the area of the square CFGH?
22. As shown in the figure, this is a top view of a geometry composed of small cubes. The number of small squares indicates the number of small cubes at this position. Please draw a front view and a left view.
23. A food factory produced 20 tins of canned food to check the quality. A positive number indicates that the quality exceeds the standard, and a negative number indicates that the quality is unqualified. The results are recorded in the following table:
Compared with the standard quality
Deviation (unit: gram)-10-50+5+10+15
Listening comprehension 4 2 4 7 2 1
Is the average quality of this batch of cans more or less than the standard quality? How many grams?
The first day of the first volume of mathematics is a typical example of the first day of mathematics. The first day of the first book of mathematics is a typical example of mathematics. The product of n rational numbers that are not equal to zero is negative, and the negative factor is () (a) countless (b) odd (c) even (d)-2. The product of two absolute numbers is () (a). ×? +? ÷2)32()4.0()4 1 1()4(324 4、5、6 、) 3 123()3 1(22 1 yyxx+? +,where x =- 1 and y = 2;; 7. Known 26xy? +=, then 23 (2) 5 (2) 6xxxxy? The value of+is (). A.84b.144c.72d.3608. It is known that A and B are reciprocal, C and D are reciprocal, and x=3(a- 1)-(a-2b). Y=cd+c(a+b)。 Find the value of 3x-2y. 9. It is known that the solution of equation 4x+2m = 3x+ 1 is the same as that of equation 3x+2m = 6x+ 1. Find the value of (1)m; (2) The value of algebraic expression (m+2) 2005 (2m-57) 2004. 10, if 0 122zyxn and yzxm38 are similar terms, then = m = n;; 1 1, the unit number of a three-digit number is a, a decimal number is b and a hundredth number is c, then this three-digit number is _ _ _ _ _ _12, and if the algebraic expression mx2+5y2? The value of 2x2+3 has nothing to do with the value of the letter X, so the value of m is _ _ _ _ _. 13, the symbol "f" indicates an operation, and its operation results on some numbers are as follows: (1) f( 1) =? 1,f(2) = 0,f(3) = 1,f(4) = 2,… (2) f( 12) =? 2,f( 13) =? 3,f( 14) =? 4,f( 15) =? 5, ... calculated according to the above law: f (12009)+f (2009) = _ _ _ _ _ _. 14. There is a list of numbers a 1, a2, a3, …, an. Starting with the second number, each number is equal to the difference between 1 and the reciprocal of the previous number. If a 1 =2, a2007 is _ _ _ _ _ _ _. +=,233xxB+? =,xxC62? =. Q: When 42=x, () the value of CBA2. 16, c is the midpoint of line segment MN, d is the upper point of NC, and the error option is () A.CD = MC-NdB. CD = 12Mn-NdC。 CD = 12nc。 OC is any two rays of ∠AOD, OM bisects ∠ AOB, and ON bisects ∠COD. If ∠MON=α and ∠BOC=β, the algebraic expression of ∠AOD is _ _ _ _ _ _ _ _.
19. Lighthouse A is 60, A is south and east of Lighthouse B, and the distance between A and B is 4 nautical miles. Ship C is just east of Lighthouse B and 30 east of Lighthouse A. Choose an appropriate scale to draw and determine the position of Ship C. 20, (-2) 100 is greater than (-2) 99 () A, B, B. A)2, where the number of formulas with positive numbers ... is () a, 1 B, 2 C, 3 D, 4 22. Someone goes to school by bike from home. If you drive at a speed of 15 km/h, you can arrive 15 minutes earlier than the scheduled time; If you drive 9 kilometers per hour, you can arrive 15 minutes later than the scheduled time; How many kilometers is the distance from home to school? 23. The passenger train is 200 meters long and the freight train is 280 meters long. They are driving in opposite directions on parallel tracks. It takes 16 seconds from the time when two cars meet to the time when two cars leave each other. As we all know, the speed ratio of passenger cars to trucks is 3: 2. How many meters do two cars travel per second? Between 6 o'clock and 7 o'clock, the minute hand and the hour hand of the clock coincide? (textbook review, the speed of minute hand is 12 times that of hour hand) 25. A ship is sailing between two docks, and the current speed is 3 kilometers per hour. It takes 2 hours to sail downstream and 3 hours to sail upstream. What's the distance between the two docks? 26. A project is completed by two teams, A and B. It takes 16 days for team A to complete it alone, and 12 days for team B to complete it alone. If Team A works for four days first, and then two teams work together, how many days will it take to complete 5/6 of the project? 27. The number of parts produced by three workers, A, B and C, in a factory every day is 3: 4, B and C are 2: 3 ... If the number of parts produced by B every day is 945 less than the sum of A and C, how many pieces will each worker produce? 28. The highest digit in the five digits is 2. If you move this number to the right of the single digit, you will get three times the original number, and you will find the original number. 29. Some of the same rooms need painting. Three masters went to paint eight rooms a day, but the 40㎡ wall was not painted before. Meanwhile, five apprentices painted the walls of nine rooms. Each master draws 30㎡ more walls than his disciples. (1) Find the wall area to be painted in each room; (2) Boss Zhang has 36 such rooms that need painting. If 1 master is invited to take two apprentices, how many days will it take? (3) It is known that the daily salary of each master and apprentice is required by 85 yuan, 65 yuan and Zhang to be completed within three days. How to recruit people from these eight people?
Hope to adopt ~ `
(1) What is a vocational qualification certificate?
The Association of Chartered Certified Accountants (ACCA) was established in 19