80985 16 16
Math test
(used in the experimental area of curriculum reform)
Friendly reminder:
1. The full score of this paper is 100, and the excess score is 20, *** 120. Examination time 120 minutes.
2. Before answering the question, please fill in the admission ticket number, name, county (city) or division (regiment) and school carefully in the sealed area.
3. You can use a scientific calculator in the process of answering questions.
I believe you can calmly, wholeheartedly and honestly answer questions and get your satisfactory results.
First, the correct choice (there are 8 questions in this big question, and each question has only one correct answer. Please fill in the code of the correct answer in the corresponding space in the table below; 3 points for each question, out of 24 points. )
Title 1 2 3 4 5 6 7 8
election
The left view of the geometry shown in 1. (1) is ().
2. A couple who are keen on sports asked their one-year-old children to spell out three building blocks with the words "20", "08" and "Beijing" respectively. If children are allowed to arrange the building blocks horizontally and vertically, the probability that children can arrange "Beijing 2008" or "Beijing 2008" is ().
A.B. C. D。
3. An astronaut sent back two sets of data to the earth station: the diameters of planet A and planet B are kilometers and kilometers respectively, and there are differences between the two sets of data ()
A. There are differences
B.there is no difference
C. Difference100km
D. difference100km.
4. As shown in the figure, translate the straight line up by 2 units to get a straight line, and the expression is ()
A.
B.
C.
D.
The car is driving on the expressway at a speed of 72km/h, heading for the silent valley. The driver honked his horn, and four seconds later, he heard an echo. How far is the car from the valley? It is known that the speed of sound propagation in the air is about 340m/s, assuming that the car is meters away from the valley when the echo is heard, according to the meaning of the question, the equation is listed as ().
A.B.
C.D.
6. A park plans to build a fountain in the shape of figure (1), but it was later suggested to change it to the shape of figure (2), with the diameter of the outer circle unchanged and the width and height of the fountain edge unchanged. How to treat the construction of fountain edge ()?
A. The drawing (1) needs more materials.
B. Figure (2) requires a lot of materials.
The amount of materials required in Figure C (1) and Figure 2 is the same.
D. unable to determine
7. As shown in the figure, the difference between the lower bottom and the upper bottom of the isosceles trapezoid is exactly equal to the waist length, and. Equal to ()
A.B. C. D。
8. The picture shows the top view of the 54-inch large rear projection color TV set in the corner. Suppose the back of the color TV is parallel to the front, and the distance from it is, if so, the distance from the corner to the front is ().
A.B.
None of the above answers are correct.
Second, fill in the blanks reasonably (there are 4 questions in this big question, 4 points for each question, full score 16 points; Among them, the excess score is 4 points. )
9. A farm bought three balers, A, B and C, and packed cotton of the same quality at the same time. 65,438+00 bales were randomly selected from the cotton bales of their respective packages, and the variance of their actual quality was determined as the most stable quality of the baler.
10. As shown in the figure, in order to shoot tall objects nearby, the center of the lens often remains motionless to make the camera rotate at a certain angle. If the point rotates clockwise from the horizontal position, the point rotates clockwise from the horizontal position by _ _ _ _ _ _ _.
1 1. In order to investigate the growth of trees, forestry workers often use horns as a tool to quickly measure the diameter of big trees, and its working principle is shown in the figure. Now rice knows that the diameter of this big tree is about _ _ _ _ _ _ _ _.
12. As shown in the figure, if the images of the linear function and the inverse proportional function intersect at one point, the value range of is.
Iii. Answers to questions (this big question *** 10, out of 64 points; The excess score is 16, ***80)
13.(6 points) Solve the inequality group and express the solution set on the number axis.
14.(6 points) As shown in the figure, the point on the number axis indicates that the symmetrical point of the point about the origin is 0, and the number indicated by the set point is 0, so as to obtain the numerical value.
15.(9 points) The eighth-grade students in a farm middle school conducted a survey on 66 students in this grade about whether you would say "thank you" to your mother every birthday. The findings are as follows:
No, no, no, sometimes not, sometimes not.
No, sometimes, sometimes, sometimes, sometimes.
No, no, sometimes, sometimes, sometimes.
Sometimes, sometimes, no, no, no, no.
No, no, no, no, sometimes not, yes, no, no, no.
Yes, yes, yes, no, yes, no.
(1) Please sort out the above data and fill in the following table. (Frequency reserves four significant digits)
(2) Choose a suitable statistical chart to describe this set of data.
(3) How to treat the analysis of this set of data? (It can be expressed in one or two sentences)
Answer content frequency frequency
be
sometimes
no
16.(8 points) In 2004, the Party committee and people's government of the autonomous region decided to open junior high school classes in 8 cities including Urumqi and Korla, focusing on enrolling children of farmers and herdsmen and students from other poor families. A city enrolled 50 junior high school students in September 2004, and plans to make the total number of junior high school students in this area reach 450 in three years after enrollment in September 2006. If this city
17.(9 points) Use counterexamples to show that the following propositions are false.
For example, if, then
Counterexample: established
Therefore, this proposition is false.
(1) If, then;
Counterexample:
(2) If it is irrational, it is irrational, then it is irrational.
Counterexample:
(3) Note to candidates: This question is over-scored, with 3 points over-scored.
If the diagonals of two sides and one side are equal, then two triangles are congruent.
Counterexample: (Draw a picture and explain)
18.(8 points) As shown in the figure, its radius is 12cm, and its chord.
(1) Find the distance from the center of the circle to the chord.
(2) Note to candidates: This topic is divided into sub-topics, and the sub-topic is divided into 2 points.
If the two ends of a chord slide on the circumference (the chord length is constant), what kind of figure does the midpoint of the chord form?
19.(8 points) Please give an example that can be described by inverse proportional function relation in life, write its function expression and draw its function image.
For example:
Function expression:
20. Note to candidates: The full score of this question is 8 points, of which 2 points are the excess part.
As shown in the figure, it is known that the two diagonal lines of the diamond are 0. Can the diamond be divided along the diagonal lines and then spliced into a rectangle? Drawing instructions (just spell out a picture); In this process, can you find the relationship between the area and the diamond?
2 1. Friendly reminder: There are two questions A and B in this question. Please choose a question to answer, with a score of 6 and b score of 8 (including 2 points in excess). If you do both questions, you can only get an A grade.
A. Teachers and students in a middle school used a "three-arc method" when they saw carpenters drawing right angles at the corners of materials. The method is as follows:
(1) draw a line segment, respectively, with, as the center and the length as the radius, and draw an arc intersecting at.
(2) Take the center of the circle as the center, and still take the length as the radius, draw the extension line of the arc intersection.
③ Connection
This is a right angle.
(1) Please give a reasonable explanation about the right angle.
(2) The remaining part of the existing rectangular wood block is as shown in the figure, neat and parallel, with uneven burrs. Please draw an edge perpendicular to the raw edge with a ruler (don't write, but keep the line drawn).
B. As shown in the figure, the middle is the last point.
, for feet, links.
(1) Write all the equal line segments in the graph and choose a pair to prove it.
(2) Is there a similar triangle in the diagram? If yes, please write a pair; If not, please explain why.
22. The full mark of this question is 10, in which the excess is divided into 7.
As the picture shows, the goalkeeper kicked a high ball on the football field, and the ball flew out from the ground 1 m (on the axis). Player B found that the ball reached the highest point directly above the head at a distance of 6 meters from the ground, and the ball rebounded again after landing. According to the experiment, the parabola of football bouncing on the lawn is the same as the original parabola, and the maximum height is reduced to half of the original maximum height.
(1) Find the expression of parabola when the football first begins to fly out and land.
(2) How many meters is the first landing point of football from the goalkeeper? (clap)
(3) How many meters does athlete B have to run forward to grab the second landing point? (clap)