New people's education printing plate eighth grade first volume mathematics final examination questions
I. Multiple choice questions (*** 10 small questions, 3 points for each small question, out of 30 points)
1. With the following groups as side lengths, what can form a right triangle is ().
A.，B.6，8 10 c . 5， 12， 17 D.9，40，42
2.At (-) 0，0，0.0 100 1000 1？ ,﹣0.333? , ,3. 14 15,2.0 10 10 1? (There are 1 zeros between two adjacent 1), and the irrational number is ().
1。
3. The following calculation is correct ()
A.=2 B？ =﹣= =﹣3
4. Given that+(b)1) 2 = 0, the value of (a+b)20 15 is ().
A.﹣ 1 d.﹣20 15
5. If the point P(m+3, m+ 1) is on the Y axis, the coordinate of the point P is ().
A.(0,﹣2) B.(﹣2,0) C.(4，0) D.(0,﹣4)
6. Point A (x 1, y 1) and point B (x2, y2) are two points on the image of linear function Y =-2x-4, x 1.
a . y 1 & gt； y2 b . y 1 & gt； y2 & gt0 C.y 1
7. If the solution of binary linear equations is the solution of binary linear equations 2x-3y+ 12 = 0, then the value of a is ().
A.b.﹣·d.﹣
8. It is known that there is a point B( 1, n) on the straight line Y = MX+0, and its distance to the origin is, so the area of the triangle surrounded by this straight line and two coordinate axes is ().
A.b.c. or d.or
9. In order to prepare for the class's junior high school graduation party, the monitor made a public opinion survey about what fruit the class likes to eat. So what kind of fruit to buy, the most noteworthy of the following survey data is ().
A. Median B. Average C. Mode D. Weighted average
10. it is known that the linear function y=kx+b, y increases with the increase of x, kb >；; 0, and its approximate image is () in rectangular coordinate system.
A.B. C. D。
Fill in the blanks (*** 10 small questions, 2 points for each small question, out of 20 points)
1 1.=a, =b, then =.
12. If the median value of a set of data 5, 7, 7 and x is equal to the average value, the value of x is.
13.﹣3 + = .
14. As we all know, m is an integer part and n is a decimal part, so m2-N2 =.
15. If x and y are real numbers and y=, x+y=.
16. It is known that XM-1+2yn+1= 0 is a bivariate linear equation, then m=, n=.
17. in the equation y=kx+b, when x=0, y= 1, when x= 1, y=2, then k=, b=.
18. The speed of the ship sailing along the water is m km/h, and the speed of sailing against the water is n km/h, so the speed of the current is.
19. As shown in the figure, in △ABC,? B=55？ ,? C=63？ And what about DE∨AB? Decimal is equal to.
20. known: as shown in the figure, AB∨CD, if? ABE= 130？ ,? CDE= 152？ And then what? Bed = degrees.
Third, answer questions (***7 small questions, out of 50 points)
2 1.( 1) Calculation:
(2) Solve the following equation:
22.m is a positive integer, and it is known that binary linear equations have integer solutions. Find the value of m.
23. As shown in the figure:
24. The picture shows the relationship between the driving distance and time of two cars (car B starts after car A). Try to answer the following questions:
(1) In the diagram, which car's distance and time are represented by l 1 and l2 respectively?
(2) Write the functional relationship between the distance S traveled by car A and car B and the time T, and find the speed of car A and car B;
(3) What is the practical significance of the intersection in the graph?
25. The length of the express train is 168m and the length of the local train is 184m. If two cars drive in the opposite direction, it takes 4 s from meeting to leaving; If driving in the same direction, it takes 16s from catching the local train to leaving. Find the speed of two cars.
26. A sports team wants to choose one of the two excellent players, A and B, to participate in the shooting competition in the whole province. The sports team tested the two players eight times in advance, and the results are as follows:
Number of times player A scores (rings) Player B scores (rings)
1 9.6 9.5
2 9.7 9.9
3 10.5 10.3
4 10.0 9.7
5 9.7 10.5
6 9.9 10.3
7 10.0 10.0
8 10.6 9.8
According to the statistical test results, please use your statistical knowledge to make a judgment, which player is better to send to participate in the competition? Why?
27. Known: As shown in the figure, straight line AB∑ED, verification:? ABC+？ CDE=？ BCD。
People's education printing plate eighth grade first volume mathematics final examination paper reference answer
I. Multiple choice questions (*** 10 small questions, 3 points for each small question, out of 30 points)
1. With the following groups as side lengths, what can form a right triangle is ().
A.，B.6，8 10 c . 5， 12， 17 D.9，40，42
The Inverse Theorem of Pythagorean Theorem in Test Sites.
Analyze and judge whether it can be used as the length of three sides of a right triangle, and then judge whether the sum of squares of two small sides is equal to the square of the longest side.
Solution: A, () 2+( )2? () 2. It is not a right triangle, so the option is wrong;
B, 62+82= 102, is a right triangle, so the option is correct;
c、 122+52？ 172 is not a right triangle, so the option is wrong;
d、92+402？ 422 is not a right triangle, so the option is wrong.
Therefore, choose: B.
This review mainly examines the inverse theorem of Pythagorean Theorem, and the key is to master the inverse theorem of Pythagorean Theorem: If the three sides of △ABC satisfy a2+b2=c2, then △ABC is a right triangle.
2.At (-) 0，0，0.0 100 1000 1？ ,﹣0.333? , ,3. 14 15,2.0 10 10 1? (There are 1 zeros between two adjacent 1), and the irrational number is ().
1。
The number of test sites is unreasonable.
By analyzing that irrational numbers are infinite circulating decimals, the number of irrational numbers can be determined.
Solution: at (-) 0,0,0.01001001? ,﹣0.333? , ,3. 14 15,2.0 10 10 1? (There are 1 zeros between two adjacent 1),
The irrational number is 0.010010001? Two.
So choose B.
The comment on this topic mainly examines the definition of irrational numbers, among which the irrational numbers studied in junior high school are:? ,2? Wait; Endless prescriptions; And I like 0.10100100/? Waiting for such a regular number.
3. The following calculation is correct ()
A.=2 B？ =﹣= =﹣3
Mixed operation of quadratic root of test center.
According to the properties of quadratic root, the quadratic root is simplified and calculated according to the algorithm of addition, subtraction, multiplication and division of quadratic root.
The addition and subtraction of quadratic roots is essentially the combination of similar quadratic roots; Quadratic radical multiplication and division is equivalent to the multiplication and division of their roots.
Solution: A, =2, so A is wrong;
B, quadratic radical multiplication and division is equal to multiplication and division of their roots, so B is correct;
C, -= 2-, so C is wrong;
D = |-3 | = 3, so D is wrong.
Therefore, choose: B.
This topic comments on the simplification and operation of quadratic root.
Pay attention to the property of quadratic radical: =|a|.
4. Given that+(b)1) 2 = 0, the value of (a+b)20 15 is ().
A.﹣ 1 d.﹣20 15
The nature of non-negative number of test sites: arithmetic square root; The property of non-negative number: even power.
The values of a and b can be obtained according to the non-negative property formula, and then substituted into the algebraic formula to solve.
Solution: according to the meaning of the question, a+2=0, B- 1 = 0,
The solution is a =-2, b= 1,
Therefore, (a+b) 2015 = (-2+1) 2015 =-1.
So choose a.
This topic reviews the nature of non-negative numbers: when the sum of several non-negative numbers is 0, these non-negative numbers are all 0.
5. If the point P(m+3, m+ 1) is on the Y axis, the coordinate of the point P is ().
A.(0,﹣2) B.(﹣2,0) C.(4，0) D.(0,﹣4)
Coordinates of the test site.
According to the analysis that the abscissa of a point on the Y axis is equal to zero, the equation about m can be obtained, the value of m can be obtained by solving the equation, and the coordinates of the point can be obtained according to the value of m. 。
Solution: Point P(m+3, m+ 1) is on the Y axis, so.
m+3=0。
The solution is m =-3,
m+ 1=﹣2，
The coordinate of point P is (0, -2),
So choose: a.
Comment on the coordinates of the points in this question, and get the equation about m by using the abscissa of the points on the Y axis equal to zero, which is the key to solving the problem.
6. Point A (x 1, y 1) and point B (x2, y2) are two points on the image of linear function Y =-2x-4, x 1.
a . y 1 & gt； y2 b . y 1 & gt； y2 & gt0 C.y 1
Coordinate characteristics of points on linear function image of test center.
The analysis shows that the linear function y=﹣2x﹣4 and k = ﹣ 2.
Solution: from y=﹣2x﹣4, k = ﹣ 2.
Another ∵x 1