Class student number and name
1. Fill in the blanks: (2 points for each question, ***20 points)
The reciprocal of 1 is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
2. Compare dimensions (use ">;" Or "
3. Expressed by algebraic expression: (1) the square of the difference between A and B: _ _ _ _ _ _ _ _ _ _ _ _;
(2) Twice the cube of A and _ _ _ _ _ _ _ _ _ _ _ _.
4. If a-b= 1, the value of algebraic expression a-(b-2) is _ _ _ _; If a+b= 1, the value of algebraic expression 5-a-b is _ _.
5. Calculate [12× (-4)-125 ÷ (-5) ]× (-2) 3 = _ _ _ _ _ _ _ _ _.
6.a, B and C are on the same straight line.
(1) There are _ _ _ _ _ _ _ different line segments * * represented by the above letters;
(2) The light represented by the above letters is _ _ _ _ different.
7, 22.5 = _ _ _ _ _ degrees _ _ _ minutes; 12 24′=____________ .
8. It is known that point B is on the straight line AC, AB=8cm, AC= 18cm,
P and q are the midpoint of AB and AC respectively, then PQ = _ _ _ _.
9. Evening News "People's Hotline"
Statistics of hotline calls received within one week,
Among them, environmental problems are the most, * * * *
There are 70, please answer the following questions:
(1) This week, "People's Hotline" * * * received a hot call.
_ _ _ _ _ _ _ _ telephone line;
(2) Calls about traffic problems are _ _ _ _ _.
10, the schematic diagram of a numerical converter. If the input value is 3,
When the value of y is -2, the output result is: _ _ _ _ _ _ _ _ _ _.
Second, multiple-choice questions (3 points for each question, ***30 points)
1, the following statement is true ()
A. 1 is the smallest natural number; B. The number whose square equals itself is only 1.
C. The number with the smallest absolute value is 0; Any rational number has a reciprocal.
2, the following operation is correct ()
A.6a-5a= 1 B.a2+a2=a4
C.3a2+2a3=5a5 D.3a2b-4ba2=-a2b
3. If x is a rational number, then 丨 x 丨 -x is ().
A. positive number B. non-positive number C. negative number D. non-negative number
4, the following judgment statement is incorrect ()
A. if point c is on the extension of line segment BA, then ba = AC-BC.
B if point c is on the AB line, then ab = AC+BC.
C. if AC+BC > AB, then point c must be outside the line segment BA.
D if a, b and c are not in a straight line, ab < AC+BC.
5. Give the following judgment:
(1) on the number axis, the numbers represented by two points on both sides of the origin are opposite;
② Any positive number must be greater than its reciprocal; ③5ab, all algebraic expressions;
④x2-xy+y2 is a polynomial in ascending order of the letter Y, where () is correct.
A.①② B.②③ C.③④ D.①④
6. The following statement:
(1) Two angles where two straight lines intersect and have a common vertex and no common edge are antipodal angles;
(2) If two line segments have no intersection point, the straight line where the two line segments are located has no intersection point;
③ Two bisectors of adjacent complementary angles form a right angle;
(4) Of all the line segments connecting a point outside the line with points on the line, the vertical line segment is the shortest.
The correct one is ()
1。
7. If it is a cubic trinomial, it is equal to ()
A. 1b. 1c。 - 1d。 None of the above is correct.
8, the following is a rectangular expansion diagram, in which the error is ().
9, the following figures, the frequency of negative numbers is ()
-6. 1, ,-(- 1),(-2)2,(-2)3,-[-(-3)]
A.83.3% B. 66.7% C.50% D.33.3%
10, column number: 0, 1, 2, 3, 6, 7, 14, 15, 30. _ _ _ _ _ _ _ _ _ _ This serial number was written down by Xiao Ming according to certain rules.
A.3 1，32，64； B.3 1，62，63； C.3 1，32，33； d . 3 1.45，46
III. Calculation questions: (No.65438 +0 ~ 2, 3 points for each question, No.3, 4 points, *** 13 points)
1、 ; 2、 ;
3. When, find the value of the algebraic expression.
4. It is known that ∠ 1 and ∠D are complementary. Are CF⊥DF.AB and CD parallel? Why?
5, AB‖DE, ∠ 1=∠2, and find the positional relationship between AE and DC.
6. On National Day, the headmaster of a school led the "three good students" of the school to travel abroad. A travel agency said that "if the principal buys a ticket, the other students can enjoy a half-price discount", and B travel agency said that "all students including the principal enjoy a 60% discount on the ticket price" (that is, the fee is charged at a 60% discount on the ticket price). Now the whole fare is 240 yuan, and the number of students is 5. Please calculate which travel agency offers discounts. Which travel agency do you like? If it is a client, two.
The number of words is not enough ~ ~ The adoption rate of Xiaoyao Tour 17.6% 2009-02-06 22:07 1. Fill in the blanks (3 points for each small question, *** 18 points).
1.a and b run on a 400-meter-long circular track. It is known that A runs 9 meters per second and B runs 7 meters per second.
(1) Two people walk with their backs to the same place at the same time, and meet for the first time after _ _ _ _ _ _ _ seconds;
(2) Two people walk in the same direction at the same time and meet for the first time after _ _ _ _ _ _ _ seconds.
2. In order to improve the ecological environment and avoid soil erosion, a village actively planted trees. Originally, 60 trees were planted every day, but actually 80 trees were planted every day. As a result, the task of planting trees was completed four days in advance, so we planned to plant _ _ _ _ _ _ _ _.
3. A rope is used to form a square, and this rope is used to form a circle. It is known that the radius of a circle is 2 (π-2) meters smaller than the side length of a square. Can you tell me the length of this rope is _ _ _ _ _ _ _ meters?
4. A flower buys a 5 yuan branch. If it is sold at 20% of the listed price, 3 yuan can still make a profit. Ask about the price tag of each branch. If the listing price is X yuan each, the equation can be listed as _ _ _ _ _ _ _ _ _ _ _ _.
5. If the ten digits on a two-digit number are half of the single digits and the sum of the digits on the two-digit number is 9, then the two-digit number is _ _ _ _ _ _ _.
6. The current price of a drug is 56. 10 yuan, which is 15% lower than the original price, and the original price is _ _ _ _ _ _.
Second, multiple-choice questions (3 points for each small question, ***24 points)
7. It must be wrong for Li Bin to circle three adjacent numbers in a column of the calendar and calculate their sum.
A.20 B.33 C.45 D.54
8. A family of three will join a tour group. A travel agency told me that "adults buy full tickets and children are half price", and B travel agency told me that "family travel can be priced by group, that is, 20% off the full ticket per person". If the original prices of the two travel agencies are the same, then
A.a is more advantageous than B.
The discounts of C.A. and B. D. Which one is more favorable depends on the original price.
9. When the upwind speed of the aircraft is X km/h and the wind speed is Y km/h, the downwind speed of the aircraft is
A.(x+y) km/h
C.(x+2y) km/h (2x+y) km/h
10. One-meter-long teams advance at a speed of 60 meters per minute. It takes 1 minute for a classmate at the end of the line to walk from the end to the head of the line. The distance this classmate walks is
A.A meter B. (A+60) meter C.60a meter D.M.
1 1.a project is completed by itself 10 days, and B's work efficiency is twice that of A. Two people worked together for m days, but the remaining workload was completed by B. How many days will it take?
A. 1-( + )m B.5- m
None of the above is true.
12. A mountain road, someone walks from the mountain to the top of the mountain for 3 hours, and there is still 1 km to the top of the mountain. If it takes only 150 minutes to walk from the top of the mountain, it is known that the downhill speed is 1.5 times of the uphill speed. Let the uphill speed be x km/min, then the equation listed is
a . x- 1 = 5( 1.5x)b . 3x+ 1 = 50( 1.5x)
c . 3x- 1 =( 1.5x)d . 180 x+ 1 = 150( 1.5x)
13. The price of a commodity is one yuan. After the price is reduced by 10%, the price is reduced by 10%, and the sales volume increases sharply. The store decided to raise the price by 20% again. After the price increase, the price of this product is as follows:
A.a yuan B. 1.08a yuan C.0.972a yuan D.0.96a yuan.
14. According to the individual income tax regulations, citizens whose monthly salary does not exceed that of 800 yuan need not pay taxes, and those who exceed that of 800 yuan need to pay taxes by installments. The specific tax rates are as follows. If someone pays taxes in 80 yuan in 12, his monthly salary is.
Monthly Taxable Amount Tax Rate (%)
No more than 500 yuan.
Full 500 yuan to 2000 yuan 10.
More than 2000 yuan to 5000 yuan 15
............. A. 1900 yuan B. 1200 yuan C. 1600 yuan D. 1050 Yuan Answer Supplement 3. Short answer questions (***58 points)
15.( 13) Circle a plane figure with 40 cm long iron wire. (1) If a square is closed, its side length is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
(2) If a rectangle with a length of 12 cm is enclosed, its width is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(3) If it is enclosed by a rectangle 5 cm wide, its length is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(4) If a circle is enclosed, the radius of the circle is _ _ _ _ _ _ _ and the area is _ _ _ _ (π takes 3. 14, and one decimal place is reserved).
(5) Guess: ① If the perimeter is constant, if the surrounding figure is rectangular, the area of the rectangle will become more and more _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (2) the perimeter is constant, in all closed plane graphics, the area of _ _ _ _ is the largest. If a game is negative, the score will be 0. The city's No.4 volleyball team participated in 8 games and maintained an unbeaten record. * * * 13. How many games did it win?
17.(9 points) Xiao Zhao and Xiao Wang had an exchange activity during the summer vacation. Xiao Zhao said, "I went to a week-long technology summer camp. The sum of the dates of these seven days is 84. Do you know what date I went out? " Xiao Wang said: "I went to my uncle's house for seven days during the holiday, and the date and number of months were also 84." Guess what date I went home? " Try and list the equations to solve the problem between Xiao Zhao and Xiao Wang.
18.(9 points) Collect a batch of saplings in each class, as follows: 100 saplings and surplus in the first class, 200 saplings and surplus in the second class, 300 saplings and surplus in the third class ... Finally, collect all saplings, and the number of saplings in each class is equal. Find the total number of saplings and classes. I gave the account to Liu Lei, a member of the Life Committee. When I came back, I said, "* * * bought 36 copies of two specifications, and the unit price was 1.80 yuan and 2.60 yuan respectively. I took 100 when I left, and now I get 27.60 back. " Liu Lei calculated and said, "You must be mistaken." Li Hong thought about it and found that it was really wrong, because he put it in his pocket. Think about whether it is possible to get 27.60 yuan back, and try to explain it with the knowledge of the equation.
20.(9 points) The extracurricular table tennis team in Class Four, Grade One bought two pairs of table tennis boards. If everyone pays 9 yuan, it will cost 5 yuan more. If everyone pays 8 yuan, there will be 2 yuan less. Please ask questions according to the above situation, and use juxtaposition equation to solve the additional questions in last semester's senior one math exam B.
Take the lead
First, fill in carefully: (3 points for each question, 30 points * * *)
1, No.2 in the fifth row of the theater can be represented by (5,2), followed by (7,4).
2. The positive integer solution of inequality -4x ≥- 12 is.
3. In order to make it meaningful, the value range of x is _ _ _ _ _ _ _ _.
In order to prevent the deformation of an old wooden door, the carpenter nailed a batten on the back of the wooden door. The reason for this situation is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
5. As shown in the figure, if ∠ A = 60 and ∠ B = 30, then ∠BCD=.
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.
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. Last year, a school had 1000 students, an increase of 4.4% over last year, of which 6% were boarding students and 2% were day students. How many boarding students and day students were there in this school last year? Suppose there were x boarding students and y day students last year, then the equation can be listed as follows.
Second, choose one item carefully: (3 points for each question, ***30 points)
1 1, the following statement is true ()
A, the same angle is equal; B, on the same plane, if a⊥b, b⊥c, then ⊥c.
C, isometric is diagonal; D, in the same plane, if a‖b, b‖c, then a ‖ c.
12. Observing the following modes, among the four modes A, B, C and D, the translation of the mode (1) can get ().
13, 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
14, if the number of sides of a polygon increases from 3 to n, the degree of the sum of its outer angles ()
A. add B. reduce C. change D. to (n-2) 180.
15, someone went to the tile shop and bought a polygonal tile with a seamless floor. The shape of the tile he bought can't be ().
A, equilateral triangle; B, square; C, regular octagon; Regular hexagon
16 As shown in the figure, in the following reasoning, the correct one is ().
A.∵∠a+∠d = 180 ,∴ad‖bc； b .∫≈c+∠d = 180 ,∴ab‖cd；
C.∵∠a+∠d = 180 ,∴ab‖cd； d .∫≈a+≈c = 180 ,∴ab‖cd
17, the equation 2x-3y = 5, x+= 6, 3x-y+2z = 0, 2x+4y, 5x-y > 0 is a binary linear equation ().
A. 1
18. In order to protect the ecological environment, a county in Shaanxi 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
19, the solution set of inequality group is ()
A.x & lt-3 b . x & lt； -2c .-3 & lt； X<-2 D. No solution
20. If the solution set of the inequality group is-1≤x≤3, the figure indicates that it is correct ().
Third, answer questions: (geometry part 2 1 ~ 24 questions. ***20 points)
2 1. Xiaoming's home is in A, and he needs to build a road to get water by the river. Please help him design a shortest route and find out the distance from Xiaoming's home to the river. (The ratio is 1: 20000) (3 points)
22. This is a schematic diagram of a zoo tour. Try to design a method to describe the location of each scenic spot in this zoo map and draw a picture to illustrate it. (6 points)
23. Fill in the blanks by reasoning: (6 points)
As shown in the figure, ef ‖ ad, ∠ 1 = ∠ 2, ∠ BAC = 70. Complete the process of finding ∠AGD.
Because EF‖AD,
So ∠ 2 = _ _ _ _ _ (_ _ _ _ _ _ _ _).
Because ∠ 1=∠2
So ∠1= ∠ 3 (_ _ _ _ _)
So AB \\_ _ _ _ _ _(_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
So ∠ BAC+_ _ _ =180.
(___________________________)
Because < BAC = 70.
So ∠ AGD = _ _ _ _ _ _
24. As shown in the figure, in △ ABC, AD and AE are bisectors of the height and angle of △ ABC respectively. If ∠ b = 30,
∠ C = 50。 (6 points)
(1) Find the degree of ∠DAE. (2) What is the relationship between ∠ DAE and ∠C-∠B? (No proof required)
Fourth, answer questions: (
25. Solving equations and inequalities (group): (10, 3 points for each question)
( 1)
(2) Solving inequality 2x- 1
(3) (4) .
V. Application problems:
26. Calculate the price of each kitten and puppy according to the given information. (4 points)
Buy a * * * to 70 yuan,
Buy a 50 yuan.
27, a math contest ***20 questions. Get 10 for each question correctly, and deduct 5 points for wrong or no answer. Answer a few questions wrong or not at most, and the score can be no less than 82 points. (4 points)
Sixth, additional issues.
28, the shape of a part as shown in the figure, according to the regulations, ∠A=90, ∠ C=25, ∠B=25, and ∠BCD= 150 is measured by inspection, then the part is judged to be unqualified, and the reasons for the unqualified part are explained by using the relevant knowledge of triangle. (3 points)
29. During May Day, the central shopping mall held a preferential promotion. The mall sold 96 sets of 29-inch and 25-inch color TVs at 20% discount and 30% discount respectively, and * * * got 184400 yuan. It is known that the original price of 29-inch color TV is 3000 yuan, and the original price of 25-inch color TV is 2000 yuan. How many 29-inch and 25-inch color TVs do you sell? (6 points)
30. (6 points for this question) Observation
,
Namely;
Namely;
Guess: what is equal to? Verify your guess through calculation.
3 1, as shown in figure AB‖CD, and discuss the relationship between ∠APC and ∠PAB and ∠PCD in the following four figures respectively. Please select an obtained relationship to explain. (It is not difficult to add auxiliary lines appropriately) (6 points)
( 1) (2) (3) (4)
Reference answer:
1. Fill in the blanks: (3 points for each question, ***30 points)
1, line 7, No.4
2、x≤3
3、x≥4
4. Stability of triangles
5、9
6, 18 or 2 1
7.∠EAD=∠B(∠CAD=∠C or ∠BAD+∠B= 180)
8、 1,0,- 1
9、(-2,3)
10.
Second, multiple-choice questions (3 points for each question, ***30 points)
1 1、D 12、C 13、C 14、C 15、C 16、C 17、A 18、B 19、A 20、D
Third, answer questions.
2 1, as shown in the figure, cross point A, make AB perpendicular to the river, and the vertical foot of L is the point.
Measuring distance AB=2. 1cm.
Actual distance =2. 120000
= 42,000 cm
=420 meters
A: The shortest actual distance from Xiaoming to Xiaohe is 420 meters.
22. Establish a rectangular coordinate system with the south gate as the origin, the horizontal right as the positive direction of the X axis and the vertical as the positive direction of the Y axis, and mark the origin and unit length (1 point).
South gate (0, 0); Amphibians (41); Birds (3, 4); Lions (-4, 5), horses (-3, -3) (positions are expressed in ordered pairs, each pair is 1 min).
23, empty ∠3 in turn (two straight lines are parallel and the same angle is equal).
∠3 (two generations)
DG (internal dislocation angles are equal and two straight lines are parallel)
∠AGD (complementary angle of two parallel lines with internal angles)
∠AGD= 1 10
24 、( 1) ∠DAE= 10
(2)∠C - ∠B=2∠DAE
Fourth, answer questions.
25. Solve equations, inequalities and inequality groups and calculate real numbers.
( 1)
(2) The representation of x >-7 solution set on the number axis is abbreviated.
(3)x