The total score of class name and student number
1. Fill in the blanks (each question 1.5 points, *** 15 points)
1: A point outside the straight line is called the distance from the point to the straight line.
2. Axiom of parallel lines.
3. Conditions of parallel lines:
;
.
4. The essence of parallel lines:
;
.
The sum of the external angles of the 5:n polygon is; The sum of internal angles is.
6. An N-polygon starting from a vertex can be a diagonal line, which divides the polygon into two parts.
Triangle.
7. From one of the binary linear equations,
This method is called substitution method for short.
8. Coefficients of the same unknown quantity in two equations
This method is called addition and subtraction for short.
9: For 2x-y=3, we have a formula to indicate that y is:.
10: For four pieces of 10cm, 7cm, 5cm and 3cm, three pieces are selected to form a triangle, and the circumference of the triangle is.
Second, the solution and application
1, as shown in Figure ①, is the rest of the trapezoidal iron sheet. What are the other two corners of the trapezoid? (4 points)
2. As shown in Figure ②, a//b, c and d are cutting lines, 1=80, 5=70. What are the degrees of 2, 3 and 4 respectively? Why? (6 points)
3. In the plane rectangular coordinate system, mark the following points:
Point A is on the Y axis, above the origin, and 2 unit lengths away from the origin;
Point B is on the X axis, on the right side of the origin, and is 1 unit length away from the origin;
Point C is on the X axis and on the right side of the Y axis, and the distance between every two coordinate axes is 2 unit lengths;
Point D is on the X axis, located on the right side of the origin, and 3 unit lengths away from the origin;
Point E is located above the X axis and to the right of the Y axis, 2 unit lengths away from the X axis and 4 unit lengths away from the Y axis.
Connect these points in turn. What do you think it looks like? (8 points)
4. As shown in Figure ③, in the triangle AOB, the coordinates of point A and point B are (2,4) and (6,2) respectively. Find the area of triangle AOB (hint: the area of triangle AOB can be regarded as the area of a rectangle minus the area of some small triangles). (8 points)
5. Calculate the degree of each internal angle of regular pentagon and regular decagon. (5 points)
6. The sum of the internal angles of the polygon is equal to 1260. How many polygons does it have? (5 points)
7. As shown in Figure 4, 1 = 2, 3= 4, A= 100, find the value of x .. (6 points)
8. Solve the following equation as required (***8 points)
( 1) x+2y=9 (2) 2x-y=5
3x-2y=- 1 3x+4y=2
Three, the application of binary linear equations (7 points per question, ***35 points)
1. According to market research, the sales ratio of a disinfectant in large bottles (500g) and small bottles (250g) is 2: 5. A factory produces 22.5 tons of this disinfectant every day. How many bottles should these disinfectants be divided into large bottles and small bottles?
2. Two big harvesters and five small harvesters work for 2 hours to harvest wheat. 6 hectares, 3 big harvesters and 2 small harvesters harvest 8 hectares of wheat in 5 hours. 1 hour 1 NTU harvester and 1 small harvester harvest how many hectares of wheat?
3. The route from city A to city B is 1200km long. It takes 2 hours and 30 minutes for the plane to fly from A to B, and 3 hours and 20 minutes to fly from B to A against the wind. Find the average speed and wind speed of the plane.
4. Make tin cans with tin foil. Each tinplate can be made into 25 boxes or 40 boxes. A box body and two box bottoms form a set of boxes. At present, there are 36 sheets of iron. How many sheets are used to make the box, and how many sheets can make the box and the bottom just match?
5. It is necessary to use 30% and 75% of seed preservatives and 50% of antiperspirant to prepare 18kg preservative. How much do I need to take each of the two potions?
1. Multiple choice question: (3 marks × 10)
1. The system of equations whose solution is ()
(A) (B) (C) (D)
2. At rest, the positions of Xiaohua, Xiaojun and Xiaogang are shown in figure 1. Xiaohua said to Xiaogang that if my position is represented by (0,0) and Xiaojun's position is represented by (2, 1), then your position can be represented by ().
(A)(5.4)(B)(4.5)? (C)(3.4)? Article 4, paragraph 3
3. if m >- 1, the following statement is wrong ().
(A).6m>-6 (B)。 -5m0 (D). 1-m-.2. The solution set of inequality A-2x < 1 is shown in the figure. Find a. 3 ... A piece of jewelry made of gold and silver weighs one gram. The merchant claims that the gold content is not less than 90%, and the densities of gold and silver are 19.3 and 10.5 respectively, and lists the inequalities. ...
-1. Every semester, the first grade of Song Wan school holds a math competition, which is the tenth time ... The ancient Greek mathematicians called this set of numbers 1, 3,6, 10,15,21,... which has certain regularity. ...
4) Use the formula you get to calculate the following questions: ① ② The final exam of mathematics in the next semester of the seventh grade in Keshan Middle School, page 2, A B D C, question 8, AEDC baa 246 Time (hours) 0 20 40 60 80 100 Distance (kilometers) 8 Motorcycle and bicycle BBB. ...
-
Please write a set of binary linear equations. 10 students plan to go for an outing on May 1st, and choose one of them as the team leader, so the probability of Xiao Liang being selected among 10 students is _.
In right-angled trapezoidal ABCD, AB is perpendicular to BC, BC-AD= 15, CD=25, and AC=60. Find the length of AD and BC.
[1] A book has 400 pages, and Xiaohong read 1/5 of this book in four days. According to this calculation, how many days does Xiaohong need to finish reading this book?
[2] Cut out four largest and equal circles on a square paper with a side length of 4m. What is the area of the rest?
[3] There are nine balls, one of which is a defective ball because of its light weight. Please use the balance to find the defective ball at least once.
[4] There is a movable parallelogram wooden frame with a bottom length of 9 decimeters and a height of 5 decimeters. If you draw a rectangle, its area will increase by 18 square decimeter. How long does it take to make this wooden frame?
Grade 7 (Part 2) Math Final Review Test (this volume 100 * * 100) Name: _ _ _ _ _ _ _ Score: _ _ _ _ _ _1. Fill in the blanks (3 points per question * * * In this competition, Xiao Ming got excellent grades (above 90 points), and then Xiao Ming got at least _ _ _ _ _ _ _ _ _ _ _ _ _.
Score:-1 Answer one question wrong or not. In this competition, Xiao Ming has achieved excellent results (above 90 points), so Xiao Ming has at least achieved _ _ _ _ _ _ _ _. OACBD2。 As shown in the figure, overlap the right-angle vertices of two right-angle square rulers. If ∠AOD=, then if it exceeds 100 degrees, the electricity price per degree will be charged by yuan. A household uses electricity 160 kwh a month, and the electricity bill he should pay this month is RMB (expressed by algebraic expression including sum). 4. As shown in the figure: straight line ‖, then ∠ ACB = _ _ _ _ _ There is a bumper harvest of litchi in our province this year. At present, the market price is stable, and litchi growers are common. The sales income is 6 10/00000 yuan. It is known that the price of "Feizixiao" is10.5 million yuan/ton, and the average price of other varieties is 0.8 million yuan/ton. How many tons of litchi are produced by "Feizixiao" and other varieties? If the yield of "Feizixiao" litchi is x tons and the yield of other varieties is y tons, then the equation can be listed. The square root of 9 is .8, and the satisfied integer is _ _ _ _ _ _ _ _. 9. The lengths of the two sticks are 7cm and 10cm respectively. If you want to choose the third stick and make them into a triangular frame, the length range of the third stick is. 10, given that point P, point A and point P are axisymmetric, then the coordinate of point A is _ _ _ _ _ _ _. 1 1, a series of numbers arranged in a certain order is called a sequence. Generally, a series uses a 1, a2, a3, ..., an which can be abbreviated as {an}. The existing series {an} satisfies a relationship: an+ 1 =-nan+65438. And a 1=2. Calculate the values of A2, A3 and A4 according to the known conditions, and then make an inductive guess: an = _ _ _ _ _ _ _ _ _ _ _ _ expressed by algebraic expression containing n) ABECD II. Multiple choice questions: (3 points for each question ***27 points) 12, as shown in the figure, ab \ then ∠A+∠C+∠AEC=() A, 360 B, 270 C, 200 D,180. c、3、2、5; d,3,2,6 14。 In the plane rectangular coordinate system, the quadrant where-1 and -2 points are located is () a, the first quadrant; B, the second quadrant; C, the third quadrant; D quadrant 15. There are 20 questions in the "Welcome to the Olympics" knowledge contest. If each question is answered correctly 10, 5 points will be deducted if it is answered incorrectly. At least () questions must be answered correctly with a score of not less than 95? (a) 14(b) 13(c) 12(d) 1 1- 1065438+65438+
A
If the masses are all 1g, the value range of the mass m(g) of object A can be expressed as () 18 on the number axis, and the following four real numbers are
The irrational number is (). a . 2.5b . c .πd . 1.4 14 19。 A student is practicing driving in the square. After two turns, the driving direction is the same as the original direction. The angle of these two turns may be () a, the first turn to the left is 300, and the second turn is 300. B. Turn right 500 for the first time and turn left for the second time1300; C. Turn right 500 for the first time and turn right for the second time1300; D. Turn left 500 for the first time and turn left for the second time 130020. The solution of binary linear equations is (). ABC D2 1。 The floor tiles sold in the shop have the following shapes: ① square; ② Rectangular; ③ Regular pentagon; @ Regular hexagon. If only one kind of floor tile is embedded in the ground, you can choose the floor tile. () (a) 1 species (B)2 species (C)3 species (D)4 species. Third, solve the problem: (***37 points) 22. Solve the following equations (4 points for each question * * and express their solution sets on the number axis (4 points for each question * * 8 points) (1) 24. (4 points for this question) As shown in the figure, AB‖CD, straight line EF intersect AB and CD at points E and F respectively, and EG bisector ∠BEF intersects CD. 25. (4 points in this question) In order to transform the desert, a certain area in northwest China decided to start "combating desertification and planting grass" in 2002, and introduced an incentive measure: in the process of "combating desertification and planting grass", farmers who increase the grassland area by1000 mu each year can get a living allowance of 1500 yuan in that year, and each mu exceeds the part. The government also gives a reward of one yuan per mu. In addition, from next year, the land after sand control and grass planting will have an average income of B yuan per mu per year. The following table shows the total income of a farmer through "controlling sand and planting grass" in the first two years: the total annual income of 20 mu of new grassland in 2002 was 2600 yuan, and that of 26 mu in 2003 was 5060 yuan (note: total annual income = living allowance+government reward). (4 points in this question) Class A and Class B of the ninth grade of Guangming Middle School donated the same amount for the "Hope Project", both of which were less than 300 yuan in 400 yuan. It is known that one person in Class A donated to 6 yuan, while others donated to 9 yuan. One person in Class B donated 13 yuan, and everyone else donated 8 yuan. What is the total number of students in Class A and Class B? 27, (4 points in this question) is called a real number, and the value of. 28. (4 points in this question) To build a highway through a village, it is necessary to relocate a group of farmers. In order to save land resources and protect the environment, the government has made a unified plan to relocate the construction area. The planning requires that the area of regional green space should not be less than 20% of the total area. If the relocated farmers occupy an area of 150, the green area still accounts for 40% of the total area. The government also encourages other farmers with savings to build houses in the planning area, so that another 20 farmers will join the ranks of building houses. If the area of each household is still calculated as 150, the green environment area only accounts for 15% of the total area. In order to meet the planning requirements, some farmers need to be evacuated. Q: (1) How many farmers need to move to build houses first, which is planned by the government?
What is the total building area? (2) In order to ensure that the green area is not less than 20% of the total area of the area, how many rooms should be removed at least? Reference answer: 1. Fill in the blanks: 1, 24; 2、80 ; 3、 ; 4、78 ; 5、 6、-6; 7、-2, 3; 8、- 1,0, 1,2; 9、 ; 10、 ; 1 1、 。 Second, multiple-choice questions: 12, a; 13、A; 14、C; 15、B; 16、B; 17、A; 18、C; 19、A; 20、B; 2 1, C. III. Answer: 22, (1); ⑵ 23、⑴ ,⑵4≤ 24、∠2=65 。 25, yuan, yuan. 26. There are 40 students in Class A and 44 students in Class B ... 27, -7. 28.( 1) Farmers who initially need to move to build houses have houses, with a planned total construction area of square meters. According to the meaning of the question, (2) the solution needs to leave room, and the solution can be ≥ 20% × 12000 ≥4.