Please see my requirements for the comprehensive examination questions at the end of the eighth grade of People's Education Press.

New people's education printing plate eighth grade mathematics second volume midterm examination questions

(Time:/kloc-90 minutes out of 0/00)

Name, class score

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

1, in the algebraic expression, the fraction is ()

a，4 B，3 C，2 D， 1

2, sensitive to inverse ratio letter, the following statement is incorrect ()

A, the point (-2,-1) is on its image. B, its image is in the first and third quadrants.

C. when x>0, y increases with the increase of x. D, when x

3. If the score is 0, the value of x is ().

a 、-3 B、3 C、3 D、0

4. The following is the result after the denominator of the fractional equation, in which the correct one is ().

A, B, C, D,

5. As shown in the figure, point A is any point on the function image.

AB⊥x axis is at point B, AC⊥y axis is at point C,

The area of quadrilateral OBAC is ()

A, 2 B, 4 C, 8 D, uncertain

6. It is known that the inverse proportional function passes through point A (x 1, y 1) and point B (x2, y2). If y 1

a、x2 & gtx 1 & gt； 0 B、x 1 & gt； x2 & gt0°C、x2 & ltx 1 & lt； 0 D、x 1 & lt； x2 & lt0

7. The following four groups of line segments are known:

①5, 12, 13 ; ② 15,8, 17 ; ③ 1.5,2,2.5 ; ④ 。

Among them, can form a right triangle ().

A, four groups B, three groups C, two groups D and one group

8. If the equation about x has an increasing root, the value of m is ().

a、2 B、0 C 、- 1 D、 1

9, the following operations, the error is ()

A, B,

C, D,

10, as shown in the figure, are chess pieces with length 1, width 6cm, height 4cm and height 3cm respectively.

Cuboid block, an ant should start from vertex A and climb along the surface of the cuboid.

To eat food at vertex B opposite A, it needs the shortest route to crawl.

The length of is ()

A, B, C, D,

Fill in the blanks (3 points for each small question, 30 points for * * *)

1 1. Write the expression of the inverse proportional function of the image in the first and third quadrants.

12, and the image of the inverse proportional function passes through point A (-3, 1), then the value of k is.

13, if the score is negative, then the value range of x is.

14, simplified:

15. If the hyperbola is in the second and fourth quadrants, the straight line does not pass through the fourth quadrant.

16, as shown in the figure, it is known that △ABC, △ ∠ABC=900,

Take each side of △ABC as the intersection, and make three lines outside △ABC.

Square, S 1, S2 and S3 represent these three respectively.

Square area, S 1=8 1, S3=225,

Then S2=.

17, it is known that the two intersections of the images of inverse proportional function and linear function are A(-3, -2) and B( 1, m) respectively.

18. Given that the length of each side of △ABC is an integer and the circumference is 8, the area of △ABC is.

19. Place a pair of diagonal plates as shown in the figure, and then the upper and lower triangular plates.

Area of S 1: S2 =.

20. As we all know,

The value of the score is.

Third, solve the problem (***40 points, write the necessary calculus reasoning process)

2 1, (6 points) simplify before evaluating:

22.(6 points) In △ABC, AB= 10, BC= 12, and the center line of BC side = 8, so find the length of AC.

23.(7 points) In the plane Cartesian coordinate XOY, the image of the inverse proportional function is symmetrical with the image of X, and intersects with the straight line at point A (m, 3). Try to determine the value of a. ..

24.(7 points) As shown in the figure, in △ABC, ∠ACB=900, AC=7, BC=24, and CD⊥AB is in D.

(1) Find the length of AB;

(2) Find the length of the CD.

25.(8 points) It is known that real numbers M and N satisfy: find the values of M and N. ..

26.(8 points) Someone rides a bike 8 kilometers faster than the first hour of walking, and rides a car faster than riding a bike 16 kilometers. This person starts from a place, walks 4 kilometers first, then takes the bus 10 kilometers, and then goes to b place. He rode his bike from B to A again. The round trip time is exactly the same. Ask for the speed of this man's walking.

27.(8 points) As shown in the figure, in the rectangular coordinate system, O is the origin, point A is in the first quadrant, its ordinate is three times the abscissa, and the image of the inverse proportional function passes through point A..

(1) Find the coordinates of point A. ..

(2) If the image of the linear function passing through point A intersects with the positive semi-axis of the axis of point B, OB=AB, find the analytical expression of the linear function.

Reference answer

I. BCADBCADDB

Second, 1 1, the answer is not unique; 12、-3; 13、 1 & lt； x & lt3 ; 14、 ; 15, three; 16、 144; 17、0

18、 ; 19、 ; 20, 8 or-1.

Third, 2 1, simplification

22、∫ab2 = ad2+bd2∴ad⊥dc∴

23. One

Substitute A (- 1, 3) for Yes, and you get it.

24、( 1)

(2)

25、

26. Solution: Let this person walk at the speed of X kilometers per hour.