Who has urgent review questions at the end of last semester in Senior Two ~ ~

People's Education Press Experiment Eighth Grade Final Review Test 1

First, multiple-choice questions (2 points for each question, ***24 points)

1, in the following categories, the number of scores is ()

、、、、、、、

a，2 B，3 C，4 D，5。

2. If both x and y in are magnified by 5 times, then the value of the score ().

A, expand by 5 times B, keep constant C, shrink by 5 times D, and expand by 4 times.

3. It is known that the coordinate of one intersection point between the image with the proportional function y=k 1x(k 1≠0) and the image with the inverse function y= (k2≠0) is (-2,-1), and the coordinate of the other intersection point is

A.(2， 1)b .(2，- 1)c .(2，- 1)d .(2，- 1)

In a strong typhoon, a big tree broke off and fell 5 meters above the ground, and the fallen part made an angle of 30 with the ground. What is the height of this big tree before it breaks?

A. 10m B. 15m C.25 D.30

5. A set of quadrilaterals with parallel opposite sides and vertical diagonal is ()

A, diamond or rectangle b, square or isosceles trapezoid c, rectangle or isosceles trapezoid d, diamond or right-angled trapezoid

6. Both sides of the fractional equation are multiplied by (x-2) at the same time, and the denominator is removed to get ().

a . 1-( 1-x)= 1 b . 1+( 1-x)= 1 c . 1-( 1-x)= x-2d . 1+( 1-x)= x-2

7. As shown in the figure, if the side length of a small square is 1, the △ABC in the square grid is ().

A, right triangle B, acute triangle C, obtuse triangle D, none of the above answers are correct.

(Question 7) (Question 8) (Question 9)

8. As shown in the figure, in the isosceles trapezoid ABCD, if AB‖DC, AD=BC=8, AB= 10, and CD=6, the area of the trapezoid ABCD is ().

A, B, C, D,

9. As shown in the figure, the images of the linear function and the inverse proportional function intersect at point A and point B, so the value range of x that makes the value of the inverse proportional function smaller than that of the linear function in the figure is ().

A, x 2c,-1 < x < 0, or x > 2d, x

10. In a science and technology knowledge contest, the scores of two groups of students are as follows. Through calculation, we can know that the variance of the two groups is. The following statements: ① The average value of the two groups is the same; ② The scores of students in group A are more stable than those of students in group B; ③ The achievement mode of group A is greater than that of group B; ④ The median score of both groups was 80, but the number of people in group A who scored ≥80 was more than that in group B. From the median point of view, the score of group A was generally better than that of group B; ⑤ There are more people in group B with scores higher than or equal to 90 points than in group A, and group B with high scores is better than group A. The correct * * * is ().

Score 50 60 70 80 90 100

mankind

No. A group 2 5 10 13 14 6

Group b 4 4 16 2 12 12.

(A)2 species (B)3 species (C)4 species (D)5 species.

1 1. Xiaoming usually goes uphill to school, and the average speed on the way is m km/h. When he comes home from school, the average speed is n km/h, so the average speed on his way to and from school is () km/h.

A, B, C, D,

12, Li Chengbao an orchard and planted 100 cherry trees, which has entered the harvest period this year. At the time of harvest, 10 cherries are selected and picked, and the mass of cherries produced by each tree is weighed as follows:

Serial number 1 2 3 4 5 6 7 8 9 10

Mass (kg)14212717182019231922

According to the survey, the wholesale price of cherries in the market this year is per kilogram 15 yuan. Using the statistical knowledge learned, it is estimated that the total output of cherries in this orchard and the total income of selling cherries at wholesale price this year are about () respectively.

A.2,000 Jin, 3,000 yuan b. 1.900 Jin, 28,500 yuan

C.2000 kg, 30000 yuan D. 1850 kg, 27750 yuan

Fill in the blanks (2 points for each question, 24 points for * * *)

13, x, the score is meaningless; When is, the value of the score is zero.

14, the simplest common denominator of each fraction is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

15. Known hyperbola crossing point (-1, 3). If a () and b () are on hyperbola and < < 0, then.

16, trapezoid,,, straight line is the symmetry axis of trapezoid, which is the last point, so it is the minimum.

(question 16) (question 17) (question 19)

17. It is known that any straight line L divides □ABCD into two parts. In order to make the areas of these two parts equal, the position of the straight line L needs to meet the condition of _ _ _ _ _ _ _.

18 As shown in the figure, fold the rectangular ABCD along EF, so that point C falls on point A and point D falls on point G. If ∠ CFE = 60, DE= 1, the side length of BC is.

19 As shown in the figure, in □ABCD, e and f are the midpoint of the sides of AD and BC respectively, and AC intersects with BE and d F at G and H respectively. Try to judge the following conclusions: ① δ Abe δ CDF; ②AG = GH = HC； ③EG =④sδABE = sδAGE, in which the correct conclusion is _ _.

20. Point A is a point on the image of the inverse proportional function, and its distance to the origin is 10, and its distance to the X axis is 8, so the expression of this function may be _ _ _ _ _ _ _ _ _ _ _ _ _.

2 1, called an identity, then a = _ _ _ _ _ _ b = _ _ _ _ _ _

22. As shown in Figure, is an isosceles right triangle, and the point on the function image and the hypotenuse are all on the axis, so the coordinate of the point is _ _ _ _ _ _ _ _ _.

(Question 24)

23. Kobayashi's written math test scores in the first semester of Grade Three are: 84 points in Unit One, 76 points in Unit Two and 92 points in Unit Three; 82 points in the mid-term exam; I got 90 points in the final exam. If the weights of the usual, mid-term and final exams are 65,438+00%, 30% and 60% respectively, Xiaolin's total score in written mathematics this semester should be _ _ _ _ _ _ _ _.

24. There are seven squares on the straight line L in turn (as shown in the figure). It is known that the areas of the three squares placed obliquely are 1, 2 and 3 respectively, and the areas of the four squares placed vertically are S 1, S2, S3 and S4 in turn, so S1+S2+S3+S4 = _ _ _ _.

Iii. Answering questions (***52 points)

25.(5 points) The known real number A satisfies A2+2A-8 = 0.

26.(5 points) Solve the fractional equation:

27.(6 points) Drawing problem: As shown in the figure, in RT Δ ABC, ∠ ACB = 90, ∠ CAB = 30, draw with compasses and straightedge, divide into two triangles by two methods, and require one triangle to be an isosceles triangle. (traces of drawing are preserved, and writing method and proof are not required)

28.(6 points) As shown in the figure, it is known that the quadrilateral ABCD is a parallelogram, the bisector CF of BCD intersects with F, and the bisector DG of ∠ADC intersects with G.

(1) Verification: AF = GB(2) Please add another condition on the basis of the known condition to make △EFG an isosceles right triangle, and explain the reasons.

29.(6 points) Teacher Zhang conducted 10 test in order to choose one of the two students, Wang Jun and Zhang Cheng, who are particularly excellent in mathematics in the usual class, and give guidance to these two students. The test scores of two students are recorded in the following table:

1 second, third, fourth, fifth, sixth, seventh, eighth and ninth 10

Wang Jun 68 80 78 79 8 1 77 78 84 83 92

Zhang Cheng 86 80 75 83 85 77 79 80 80 75

Use the data provided in the table to answer the following questions:

Average score median model

Wang Jun 80 79.5

Zhang Cheng 80 80

(1) Fill in the following table:

(2) Teacher Zhang got the variance of Wang Jun 10 test score from the test score record table =33.2. Please ask Mr. Zhang to help calculate the variance of Mr. Zhang Cheng 10 test scores;

(3) According to the above information, please use your statistical knowledge to help Mr. Zhang make a choice and briefly explain the reasons.

30.(8 points) To make a product, the material needs to be heated to 60℃ before operation. Let the temperature of the material be y(℃) and the time from heating be x (minutes). It is understood that when the material is heated, the temperature y is linearly related to the time x; When the heating operation is stopped, the temperature y is inversely proportional to the time x (as shown in the figure). It is known that the temperature of this material before operation and processing is 65438 05℃, and it reaches 60℃ after heating for 5 minutes.

(1) The functional relationship between y and x when the material is heated and stopped is obtained.

(2) According to the technological requirements, when the temperature of the material is lower than 65438 05℃, the operation must be stopped. So how long did it take * * * from the start of heating to the stop of operation?

3 1, (6 points) It takes 16 days for two engineering teams A and B to complete a project together. Now the two teams work together for 9 days. Team A is transferred due to other tasks, and Team B will work for 2 1 day to complete the task. How many days does it take for Team A and Team B to complete the task by themselves?

32.( 10) e is a point on the diagonal BD of eg⊥cd ef⊥bc ABCD square, and the steps are f and g respectively.

Reference answer:

First, multiple choice questions

1、C 2、B 3、A 4、B 5、B 6、D 7、A 8、A 9、D 10、D 1 1、C 12、C

Second, fill in the blanks

13，3 14， 15 ,& lt； 16, 17, diagonal intersection18,319,3.

20, or 2 1, a = 2, b =-2 22, (,0) 23, 88 o'clock 24, 4.

Third, answer questions.

25. Answer: =

= =

∵a2+2a-8=0,∴a2+2a=8

∴ Original formula = =