Cm 2. If 2x4 and 3x 1 are the square roots of the same number, the value of x is 1 or 3, and the number is 4 or 100 3. If a is 42 and the square root of arithmetic square root 29 is b, then ba 1 or 7.
4. If m 17n is known, and mn is a positive integer closest to 17, then M4N55; If it is known that x is an integer and satisfies 2≤x≤3, then x1016; Calculate 362X 1 1.
7.122008122009128. If 2x 1m3y2n 10 is a binary linear equation, then nm19,235210.
1 1Y 1 10。 Put some chickens in some cages. If there are four chickens in each cage, there will be one chicken without a cage. If there are five chickens in each cage, there will be a cage without chickens. * * * There will be 25 chickens.
1 1. A group of migrant workers took part in digging and moving soil at the water conservancy site. On average, each person digs 5 square meters or digs 3 square meters every day. If 24 people are arranged to dig and transport soil, 9 people need to be arranged to dig 15.
People only move soil so that the excavated soil can be transported away in time.
12, a bus and a truck are driving in opposite directions on parallel tracks, and the crossing time of the two cars is 10 second. If the crossing time of two cars is 1 10 second, it is known that the bus is 180 meters long and the truck is 260 meters long.
Faster than a truck, the speed of a bus is 24 meters per second, and the speed of a truck is 20 meters per second. 13, two sides of a right triangle are 3 cm4 cm, and the third side is 5 cm or 7.
Cm. 14, as shown in the figure, the bisector ∠C900AD ∠BAC in Rt△ABC passes through BC to the middle vertical line, where DDE is the hypotenuse AB, and DE 1 cm is BC 3 cm ABCDE.
15. If the length of three sides of a triangle is m 1m2 m3, when m 2, the triangle is a right triangle. 16, a 8 1 If the square root of a is 3.
17, an integer greater than 5 and less than 17 is 2 10 1234 18, and 2a8 represents an 8-2-
19, the square root equals its own number is 0, the square root equals its own number is 0 and 1 20. When a0, 33a 122aa can be simplified as 12a 2 1, 1a2b0.
The arithmetic square root of ba is 22 22, and the range of X in formula y 12xx is X ≥ 2 23, and when X 2y1is 13yx52yx0.
24. Simplification 2 1323223 3233 25. If it is 3x7, then it is x 37 or 37. 26. Move the number other than the root number in 2332 into the root number, as shown below
32. If the number other than the root number in 273 1 is moved into the root number, it is 3 27; If 52a and 2b are opposite, it is ab 5 28. If the square roots of a positive number are 3x 1 and x 1, it is x 0.
29. If the reciprocal of a negative number is equal to itself, then 2a 1. If the reciprocal of a number is equal to its own number, then 3 125A283A930, when x 3.
When 33x2 has a maximum value, the maximum value is 3 31; If xx64 is meaningful, the value range of X is x≥0, X ≠ 6 32; 15x-3y427x-31y534xyx-6y043x-y-21in the equation.
5x23y265xy19731x 21y10 is a quadratic equation with one variable, including 1247 33 and the known equation 2x32m5 1y74n3.
All non-negative integer solutions of the binary linear equation m 1 n 2 34 about xy and the binary linear equation 4x3y20 about xy are 42yx 05yx.
35. The transformation of equation 5x3y6 is represented by x, y should be y235x and y should be x5653y 36. If 3a and ab 12 are antonyms, then a3b 3.
37. If 53yx2xy320, xy2008 1-3-38 and the solution of binary linear equations 52 1yaxyx is the solution of equation xy 1, then a 5 39, if the positive integer ab satisfies equation 2ab33a2b477, then ab 6 or -5.
40, buy two kinds of pure water * * * 250 yuan, in which one kind of water is used. The number of barrels in 8 yuan and 6 yuan is 75 of that in A. We buy one kind of water, X barrels of water and Y barrels of water can be listed as follows.
Xyyx7525068 4 1, x2y3z54 3xy2z47 2x3yz3 1, then the value of algebra xyz is 22.
42. If one side of a parallelogram is 8 and one diagonal is 6, then the range of its other diagonal length m is 10m22.
43. The circumference of parallelogram ABCD is 60cm, and the diagonal line intersects with O△AOB. If the perimeter of parallelogram ABCD is 8cm, then the length of AB is 19 cm.
44. In a rhombic ABCD with a side length of 6, if ∠DAB600E is AB and the midpoint f is the moving point on AC, the minimum value of EFBF is 6.
45. In quadrilateral ABCD, if AD‖BCAD≠BC makes it an isosceles trapezoid, it can be added that only one ∠B∠C can be written. Second, multiple choice questions.
46. If the hypotenuse of a right triangle is 5cm long and its circumference is 12cm, its area is ba a12cm2 b6c2c2c2c8c2c2d9cm2.
47. The following figures are 0 3 365 438+0 3.14 π 2 0.545 454 ... 0.101 ...
The number of irrational numbers is C A 1 B 2 C 3 D 4 48, and the arithmetic square root of 252 is b5b25c25d25.
49. The arithmetic square root of16 is c4b4c2d250, and the meaningful condition of formula 2x is that B A x 2 B x≥2 C x≤2 D.
X2 5 1, the arithmetic square root of a number is itself, then this number is D A 10 or1b1or 1 D 0 or 1 52, and it is estimated that the arithmetic square root of 20 is.
Between A 2 and 3, B 3 and 4, C 4 and 5, d 5 and 6. The estimated size of 53.88 should be C A between 9. 1 and 9.2, B between 9.2 and 9.3, C between 9.3 and 9.4, and D between 9.4 and 9.5. 54. If n20 is an integer, the smallest positive integer n is A2B3C4D555, and the calculation is 27 188.
A 1 B 1 C 32 D 23 56, the following equation1x2y2y33x1y243xy4y55xy21.
Among them, there is A 1 B 2 C 3 D 4 57. If the solution xy of equation group 6 14ymxyx is the same, the value of m is A 1B 1.
C 2 D 2 58, it is known that algebraic expressions 2 1x 1ay3 and 3xbyba2 are similar terms, so the values of ab are a12bab12bad respectively.
12ba 59。 If the binary linear equations 2xy3 3xy2 and 2xmy 1 have a common * * * solution, the value of m is d2b1c4d3.
60. If it is known that the solution of the equation system myxmyx 123 12 satisfies xy0, then ca m1b m1c m1.
6 1, someone sold two kinds of goods, of which the first price was 1200 yuan and the second price was 1200 yuan, but the loss was 20%. After this transaction, the result is that B A earns 100 yuan.
B pays 100 yuan, C can't pay, and D can't be determined. 62. If the two sides of a right triangle are 5cm and12cm respectively, then the height of the hypotenuse is DA6cm B8cm C..
1380cm D 1360cm 63. If the ratio of Rt△ two right angles is 5 12, the ratio of the height on the hypotenuse to the hypotenuse is da 6013b5:12c12:/kloc.
D 60: 169 64, the length of two right angles at Rt△ is N2 12N 1, then the length of its hypotenuse is da2nbn1c 21d 21.
65. In △ abc, the heights of three sides of ABC are 6cm4cm3cm respectively, so it is impossible to determine the ratio of three sides B 1: 2: 3b2: 3: 4c2: 4: 3d.
66. The minimum value of algebraic expression A 12A is that B A 0 B 12 C 1 D does not exist.
67. Xiaodong only brought two kinds of RMB, 2 yuan and 5 yuan, to buy an item. After paying 27 yuan, the payment methods are C A, B, C, C and D.
68. The equation system nyxymx4332 has countless solutions to find the value of mn, B A M 89N32B M 32N89C32n-89DM1N 43-5-
69. If the xy values of the solution of equation set 41132 yaxayx are equal, then the value of a is equal to b3b0c10d1270. If equation xy3.
Xy5 and xky2 have a common * * * solution, and the value of k is A2B2C 1D3. 7 1, 44X2 122933 72, 29X825 keys 5
KEY: 1 73、 182 123 138 1 12 74、222 128 18 KEY:427 3 KEY 3 75、327 123232
76、45 1083 1 1 125 key 4 key 332052 77、64-2 1483÷22
78, 5051183214 ÷ 32 key: 322 key: 2 79, 1227 13 1 80, 26263/kloc.
Fourth, solve the equation. 8 1、53 155 13xyyx 82、 1223532 yx KEY:75YX KEY:32YX 83、922922yxyx
84、 12 133424232 yxx-6-KEY:47YX KEY:2 1YX 85、5225 1230 123xyxyx 86、6 . 08 . 17 . 25 . 06 . 0YX KEY:20 17 100
key 7 1276 yx key 12YX 89、443452325 12yxyx 90、235637 yx yx yx key 38667 yx
KEY9794YX V. Short answer questions. 9 1. In △ABC, AB 15 and AD 12 find the perimeter of △ABC bond: 42 or 32.
92. As shown in the figure, there is a right-angled triangular paper with two right-angled sides of AC6cmBC8cm. Now fold the right-angled side AC along the straight line AD so that it falls on the hypotenuse AB and coincides with AE, and find the length ABCDE-7-
KEY3cm
93. As shown in the picture, four right triangles of different sizes should be cut out from a square ABCD cloth to make colorful flags. The cutting machine uses drawing powder to find the middle point F on the edge of CD and the point E on the edge of BC to make EC4 1BC.
Then go along Afeifei Road. Do you think the cutting master's cutting plan is correct? If it is correct, give proof. If not, please explain the reason ABCDEF.
94. As shown in the figure, fold the length AD9cm and the width AB3cm of the rectangular piece of paper ABCD in half, so that the point D coincides with the point B, and find the square area of the folded de with the length 2 of 1 and the crease EF as the sides.
AbCDEFC/ABCD KEY 1DE5cm 2S is 10cm2-8-96. If 491414222baabba25532ba0, find the value of AB 97. It is known that a5b is the fractional part of A. Find the value of b-a20, KEY5-4 98. If xy is all real numbers and y32xx234 finds the value of xy, KEY6 99, the square root of 2a- 1 is known to be 33ab- 1, and the arithmetic square root is 4, find the square root of a2b. KEY3 100, it is known that 9 13 and 9- 13 have fractional parts of a and b respectively. Find the value of ab-3a4b8 bond: 8 10 1, Known as1311313213513535235 ... Please calculate 20072009 1 ....................................................................................
Key 1004
102. When solving the equation group 7 10byxyax, the solution of the equation group is 6 1yx because of carelessness A, and the solution of the equation group is 12 1yx because B misreads the equation group B..
Please answer 1 A What do you think of A and B what do you think of B? Find the correct solution of the original equations. KEY 1 A regards a as 4 B and B as 32 243yx.
103, it is known that equations 4235byaxyx and 8352byaxyx have the same solution. Try to find the value of ab key 24ba.
104. Make cans with tinplates, and each tinplate can be made into 16 boxes or a box body into 43 boxes to make a set of cans. How many pieces of iron are used in the box of 150? How many boxes with bottoms can make a complete set of cans?
The key of the first box is set to X box, Y box, Y box, YXYX43 162 150, and the solution is 6486yx 105. The equations of Party A and Party B have the same solution, 21165Y.
Because student A misread A in equation 1, the solution of the equation is 434yx, and student B misread B in equation 2, and the solution of the equation is 95yx. Please calculate the value of algebraic expression a2007b2008. - 10 -
106, a new 4-storey teaching building in a middle school. There are 8 classrooms on each floor entering and leaving the building. * * * There are four doors, two of which are the same size as the main entrance and two are the same size as the side entrance. At the same time, four doors were tested in the safety inspection.
When you open a main entrance and two side doors, you can pass 560 students in 2 minutes. When you open a main entrance and a side door at the same time, you can pass 800 students in 4 minutes.
1 How many students can a main entrance and a side door pass per minute on average?
During the inspection, it was found that the efficiency of going out in an emergency was reduced due to the crowded students. 20. The safety inspection stipulates that in case of emergency, students in the whole building should be evacuated safely through these four doors within five minutes, assuming that each classroom in this teaching building is the largest.
More than 45 students asked whether the four doors met the safety regulations. Please explain the reason.
107. A shopping mall plans to allocate 90,000 yuan to buy 50 TV sets from a certain manufacturer. It is understood that the ex-factory price of three different TV sets produced by this manufacturer is 1500 yuan, and each set is 2 100 yuan.
2500 yuan. 1 If the mall buys 50 TV sets of two different models at the same time, it will cost 90,000 yuan. Please study the purchase plan of the shopping center.
2 If a shopping mall sells a first-class TV set, Profit 150 yuan and 200 yuan sell a third-class TV set, and Profit 250 yuan buys two different TV sets for sale at the same time.
Which purchasing scheme is the most profitable? If the mall is going to buy 50 TV sets of three different models at the same time with 90,000 yuan, please design the purchase plan.
108. A middle school organized a spring outing for junior two students. It was originally planned to rent a number of 45-seat buses, but 15 people had no seats. If the same number of 60-seat buses are rented, an extra bus will be provided, and the rest of the buses will just be filled with 45 known passengers.
The daily car rental price is 60 passenger cars in 220 yuan. The daily car rental in 300 yuan is 1. How many people are there in Grade Two? How many 45-seat buses were originally planned to rent?
How to rent a car is more cost-effective so that every student has a seat? Li 20 10 May 1 day, a junior high school math teacher in Innovation Education Training Center.