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The final math test paper in the second volume of the eighth grade
First of all, fill it out carefully, and you will be able to fill it out quickly and accurately. (2 points for each question, ***26 points)

The cube roots of 1 and -27 are; The arithmetic square root of 3 is;

2. If every outer angle of a polygon is 40, then the sum of the inner angles of the polygon is;

3. As shown in the figure, in the rectangular abcd, ac and bd intersect at point O,

And ab=oa=3, then ad =;;

4. The area of the diamond is 24, and the length of one diagonal is 6, so the length of the other diagonal of the diamond is;

"Monsters eat peas" is a computer game that everyone likes. Now, if (2, 1) is used to represent the position of "monster A", it is known that "Doudou D" is in the fourth quadrant, and the distance to the axis and the distance to the axis are 3 and 2 respectively.

Then the shortest distance for "Monster A" to eat "Doudou D" is one unit length;

6. If a solution KX-Y of the equation is known to be 3, then the value of k is;

7. If point A (,) and point B (,) are symmetrical, then =;

8. If the equation is known, it can be expressed as:

9. In order to beautify our homeland and protect the ecological environment, the students in Grade Two of Senior High School take an active part in tree planting activities. It is known that there are 200 trees planted in 1 class and class 2, of which the total number of trees planted in 1 class is 0.5 times that of 65438+class 2. If the first type of plant is an X tree and the second type of plant is a Y tree, then the equation can be listed.

10, if, and > 0, the value of is;

1 1, pressure f(n) and stress area s(㎡) of the object.

As shown in the figure, when the stress area is

30㎡, pressure (n);

12, as shown in the figure, the area of the square abcd is 64, the point f is on ad, and the point

E on the extension line of ce⊥cf ab, the area of △cef is 50,

The length of df is;

Choose carefully and you will be able to choose the only correct answer for each of the following questions. (3 points for each small question, ***30 points)

1, the following statement is incorrect ()

The cube root of A.- 1 is-1b. 1 squared is 1.

The square root of C.- 1 is-1d. The square root of 1 is

2. Among the following four points, the point on the image with function y =3x+2 is ().

a.(- 1, 1) b.(- 1,- 1) c.(2,0) d.(0,- 1.5)

3. Xiaohong drew two equal and vertical line segments, and the quadrilateral with them as diagonal is ().

A. parallelogram; (b) diamond: (c) square; nondeterminacy;uncertainty

4, in the following statement, the correct number is ()

(1) has triangles, quadrangles and regular hexagons, which can be closely arranged with only one pattern.

(2) The diagonals of the rhombus are bisected vertically.

(3) The image of the proportional function y=kx(k≠0) passes through points (0,0) and (1, k).

(4) Translation and rotation do not change the size and shape of the graph.

(5) A set of quadrangles with parallel opposite sides and another set of quadrangles with equal opposite sides are parallelograms.

A.2 B.3 C.4 D.5

5. In the following patterns, the pattern with symmetrical center is ...................... ().

a.b. c. d。

6. Among the following functions, the function in which x gradually increases and y gradually decreases is ().

a.b. c. d。

7. It is known that point P (,) is in the first quadrant and point Q (,) is in ().

A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant

8. Among the following images, the image with linear function (where > 0 and < 2) is ().

a.b. c. d。

9. Look at the two pictures below. Compared with the house in figure 1, the house in figure 2 has undergone some changes. What happened to the coordinates of the corresponding points? ( )

A. The abscissa is unchanged, and the ordinate is increased by 2; B. Add 1 to the abscissa and 2 to the ordinate;

C. Add 1 to the abscissa and double the ordinate; D. 2 is added to the abscissa, and the ordinate is unchanged.

10, the diagonal ac and bd of quadrilateral abcd intersect at point O, and the following judgments are set: ① AB = BC;

②∠dab = 90°; ③bo = do; Ao = co④ rectangular abcd;; ⑤ rhombic abcd;;

The square of 6 is abcd, so the following reasoning is incorrect ()

2005-2006 school year second grade first semester final quality inspection.

Math answer sheet

1. Fill in the blanks: (2 points for each question, ***26 points)

1、_____ __,_____ __; 2、 ; 3、_______ ___ ;

4、___ _ __; 5、__________ __; 6、__________ _;

7、__________ __ ; 8、__________ __; 9、__________ _;

10、 ; 1 1、 ; 12、 .

Second, multiple-choice questions: (3 points for each small question, ***30 points)

The title is 1 23455 6789 10.

answer

Third, the calculation problem, please pay attention to the symbols, and write the necessary calculation steps (4 points for each small question, ***20 points).

1、 2、

Solution: Solution:

3、 4、

Solution: Solution:

5、

Solution:

Fourth, solve the problem (the first (1) question 4 points; Question (2) (5 points)

(1) As shown in the figure, in right-angle abcd, ce⊥bd is in E, DCE ∠ ECB = 2: 1. Find the degree of ∠ace.

Solution:

(2) As shown in the figure, in the isosceles trapezoid abcd, ad‖bc, AB = CD, while ∠ B = 60, ad = ab = 4. ..

① Establish an appropriate plane rectangular coordinate system to represent the coordinates of each vertex of the trapezoid;

② Find the area of trapezoidal abcd.

Solution:

5.(7 points) Xiaoming's exercise book was accidentally spilled with ink by his naughty little brother, and some answers in the result list and images were stained. Please help Xiao Ming complete the forms and images according to the information provided in the question, and answer the related questions.

(1) List (2) Images

-2

0 1 2

7 5 3 1

Solution:; .

(3) Please write the relationship with the function; (Write out the calculation process)

Solution:

(4) Find the area of the triangle surrounded by the function image and two coordinate axes.

Solution:

Intransitive verb (8 points) (Class 5 students do-10) There are two ways to borrow books from the library: one is to use a membership card, and the other is to use a library card. The relationship between borrowing amount (yuan) and borrowing time (days) is shown in the figure. Answer the following questions according to the information provided in the picture:

(1) Do I need RMB for membership card?

(2) What is the daily cost of the two ways of borrowing books?

Solution:

(3) Write out the amount of books borrowed with the library card and membership card respectively (RMB).

And the functional relationship between it and book borrowing time (days).

Solution:

(4) If the service life of both library cards is one year, and if the total borrowing time in this year is 80 days, please explain which borrowing method is more cost-effective through image and calculation.

Solution:

6. (8 points) (1-4 students do) There are two communication companies, A and B, and the charging standard for monthly calls of Company A (regardless of the call location) is shown in the figure; The monthly telephone bill of company B is shown in the table.

(1) Observe the chart 1, and write down the amount of telephone charges that the users of Company A should pay when the monthly call time does not exceed 400 minutes;

Solution:

(2) Find out the functional relationship between the call cost (yuan) and the call time (minutes) after the users of Company A talk for more than 400 minutes; (Write out the calculation process)

Solution:

(3) Due to the need of work, Mr. Wang has been traveling to other cities frequently since April. It is estimated that the ratio of all kinds of call time per month is: local answering time: local dialing time: foreign call time = 2: 1: 1. Let the sum of all kinds of call time per month be (minutes) and the call fee be (yuan). When you think it is not less than, enter. Please explain the reason by calculation.

Solution:

2005-2006 school year second grade first semester final quality inspection.

Math answer sheet

1. Fill in the blanks: (2 points for each question, ***26 points)

1、 , ; 2、 1260 ; 3、 ; 4、8; 5、4; 6、2; 7、0;

8、 ; 9、 10、 ; 1 1、90; 12、6

Second, multiple-choice questions: (3 points for each small question, ***30 points)

The title is 1 23455 6789 10.

Answer c b d c b c c c c c c c c c c c c c c c c c c

Third, the calculation problem, please pay attention to the symbols, and write the necessary calculation steps (4 points for each small question, ***20 points).

1、 ; 2、 13; 3、 ; 4、 ; 5、

Fourth, solve the problem (the first (1) question 4 points; Question (2) (5 points)

(1) solution: ∵ DCE+∠ ECB = 90, ∠dce:∠ecb=2: 1.

∴∠dce=60,∠ecb=30

∴∠cbe=60

And < ACB = < CBE < ACB = 60.

∴∠ace=30

(2) Solution: ① As shown in the figure, point B is the origin and bc is the straight line.

Establish the axis of the coordinate system. The passing points a and d are ae⊥bc respectively,

Df⊥bc, the vertical feet are E and F. In rt△aeb.

∠ Abe = 60,ab=4,get be=2,ae=。

And the coordinates of bc=2be+ad=8 ∴a, B, C and D are: a(2,),

b(0,0),c(8,0),d(6,2); ②sabcd=

Verb (abbreviation of verb) (1); (2) As shown on the right.

(3)

(4) Solution: Let a straight line intersect the axis and the axis at point B and point A respectively.

The coordinates of point A are (0,3) and the coordinates of point B are (0,0).

s△aob=

6. Question (1) (completed by class 5- 10)

(1) Do I need a membership card for 20 yuan membership fee?

(2) Solution: Daily borrowing fee on the book card (RMB)

To get a membership card and rent a book every day, it costs 100 yuan.

get

(3) Solution: Book rental card

membership card

(4) solution: ① mirror image method: take the intersection point A (80 80,0) as the ac⊥ axis,

Point c (80,) and point b (80,).

As shown in figure >. Explain that it is more cost-effective to use a book rental card than a membership card.

② Borrowing books for 80 days, and borrowing card fee (RMB)

Membership card fee (yuan)

Explain that it is more cost-effective to use a book rental card than a membership card.

Question (2) (completed by class 1-4)

(1) solution: 30 yuan

(2) Solution: Let ∵ straight line pass through points (400, 30), (500, 70),

I see.

therefore

(3) solution: A: B:

∵ > 30, ∴ > 400 meets the requirements of the problem.

That is, when it is not less than 1200 minutes, it is more cost-effective to enter B than A.