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8th grade, Zhejiang Education Edition, Volume II Mathematics Final Examination Paper and Answers?
Zhejiang Education Edition 8th grade Volume II Mathematics Final Examination Questions
First, the multiple-choice question * * * This big question * * has six small questions, each with 3 points, *** 18 points * * *
1. The following questions are not suitable for comprehensive investigation: * * * ▲ * * *
A. Understand the weekly physical exercise time of the whole Class B. Security check before boarding.
C. the school recruits teachers and interviews candidates. D. understand the daily pocket money of urban primary and secondary school students.
2. The following equation is * * * * *
A.- B.- =-0.6 C. =- 13 D. = 6
3. The following statement is incorrect: * * * *
A. Understand the yield of the new maize variety "Nongda 108" suitable for sampling survey.
B. I know that the hobbies of students in Grade 8 ***2*** in our school are suitable for the general survey.
C. tomorrow's weather must be sunny or random.
D. In order to know the scores of 20,000 students in a city, 500 students were randomly selected for statistical analysis, with a sample size of 500 students.
4. For the inverse proportional function, the following statement is incorrect: * * * * *
A. Points * * *-2,2 * * * are on its image B, and its image is in the second and fourth quadrants.
C. when, it decreases with the increase of d, and when, it increases with the increase of.
5. As shown in the figure, in the square ABCD, E is the point on the DC side, and the connection line BE, rotate △BCE 90 degrees clockwise around point C to get △DCF, and the connection line EF. If ∠ BEC = 60 degrees, the degree of ∠EFD is * * * *.
10 b . 15 c . 18d . 20
6. A city held a "one-day donation" activity, and Party A and Party B each donated 30,000 yuan. Given "…", assuming there are x people in Party B, we can get the equation. According to this scenario, the missing condition indicated by "……" in the title should be supplemented by * * * * *.
A. The per capita donation of unit A is more than that of unit B. The number of people in unit B is 20% more than that of unit A..
B. The per capita donation of unit A is more than that of unit B. 20 yuan, and the number of people in unit A is 20% more than that of unit B..
C. The per capita donation of unit B is more than that of unit A by 20 yuan, and the number of people in unit A is 20% more than that of unit B..
The per capita donation of D.B unit is more than that of A unit by 20 yuan, and the number of people in B unit is 20% more than that of A unit.
Second, fill in the blanks * * * This big question * * has 10 small questions, each with 3 points * * * 30 points.
The simplest common denominator of 7 is.
8. When a=, the simplest quadratic radical is the same quadratic radical.
9. If one root of the equation is 1, then the other root of the equation is.
10. In 2000, 2000, 2000, 2009.
1 1. Xiaoming wants to input a 24,000-word social survey report into the computer. The functional relationship between time t*** minutes * * and speed v * * words/minutes * * can be expressed as follows.
12. If +=0, then+=
13. Suppose the equation about has no solution, and the value of m is.
14. In recent years, a city has increased its investment in education in order to develop education. 20 1 1 invested 30 million yuan and 20 13 invested 36.3 million yuan.
15. As shown in the figure, in △ABC, points D, E and F are on the sides of BC, AB and CA respectively, and DE∨CA and DF∨BA. The following four statements are put forward: ① Quadrilateral AEDF is a parallelogram; ② If ∠ BAC = 90, the quadrilateral AEDF is rectangular; ③ If AD bisects ∠BAC, the quadrilateral AEDF is rhombic; ④ If AD⊥BC and AB=AC, the quadrilateral AEDF is a square. Among them, there are correct ones.
16. As shown in the figure, point A is a hyperbola * * * x & gt0*** The moving point passes through the AC⊥y axis of A, and the vertical line of AC intersects the hyperbola at point B and the X axis at point D. When point A moves from left to right on the hyperbola, Xiao Ming lists four possibilities for the area change of quadrilateral ABCD: ① Gradually. ② From big to small and then from small to big; ③ From small to large and then from large to small; (4) unchanged. What do you think is right? * * Fill in serial number * * *
Iii. Answer * * * This big question * * has 10 small questions, *** 102 points. Write the necessary steps when you answer * * *
17.* * Full score of this question 12 * * * Calculation:
*** 1*** ; ***2*** .
18.*** 8 points for this question * * * Solve the following equation:
*** 1*** ; ***2*** .
19.*** The full mark of this question is 8 * * * There are three kinds of red, white and blue balls in a black box, including four red balls and white balls 10. After mixing the balls evenly every time, you can touch any ball, write down the color and put it back in the black box. After a lot of repeated touching experiments, you can find that you touched the red ball.
* * *1* * Try to find the value of a;
***2*** Randomly draw a ball, the following events: ① The ball is a red ball; ② The ball is white; This ball is a blue ball. Try to estimate the possibility of these three events, and arrange the three events * * * in the order from small to large, and use the serial number to indicate the event * * *.
20.*** The full mark of this question is 8 * * * As shown in the figure, the coordinates of the three vertices of △ABC are known as A * *-6, 0***, B***-2, 3***, C * *- 1, 0**.
* * *1* * Please write the coordinates of the symmetry point B 1 about the coordinate origin O and point B directly;
***2*** Rotate △ ABC 90 counterclockwise around the coordinate origin O to draw the corresponding.
△ a ′ b ′ c ′ diagram, directly write the coordinates of point A corresponding to point A ′;
* * * 3 * * If the quadrilateral A'B'C'D' is a parallelogram, please write the coordinates of the fourth vertex d' directly.
2 1.*** Full mark of this question10 * * April 23rd is World Reading Day, and the theme of this year's World Reading Day is "Reading makes our world richer". A school randomly surveyed some students, and * * * only chose one * * for students in "Your favorite book category".
Investigation and statistics of junior middle school students' extracurricular reading
Category frequency
Cartoon painting a 0.45
Shi Wen magazine b 0. 16
Martial arts novels 100 c
Literary masterpiece
* * *1* * This time, students were randomly surveyed, and d = 0 in the statistical table. Please complete the statistical chart;
***2*** If you draw a fan-shaped statistical chart with this statistical table, the central angle corresponding to the martial arts novel is;
***3*** Try to estimate how many students in this school 1500 like literary classics best?
22.*** The full score of this question is 10. * * * The quadratic equation of x is known.
* * *1* * If the equation has two equal real roots, find the value of A and the root of the equation at this time;
* * * 2 * * If the equation has two unequal real roots, find the range of a. 。
23.* * Full score of this question 10 * * As shown in the figure, points E and F are two bisectors of the line segment BD, and the quadrilateral AECF is a diamond.
* * *1* * Try to judge the shape of quadrilateral ABCD and prove it;
* * * 2 * * If the perimeter of diamond AECF is 20 and BD is 24, try to find the area of quadrilateral ABCD.
24.*** Full mark for this question 10 * * * A store bought a batch of clothes, each of which cost 50 yuan. If you sell it in 60 yuan, you can sell 800 yuan; If each piece is sold in 5 yuan at a higher price, its sales will be reduced by 65,438+000 pieces. If the store wants to make a profit 12000 yuan by selling these clothes, what should the price of this kind of clothes be? How many pieces of this kind of clothes should the store buy?
25.*** Full score of this question 12 * * As shown in the figure, the linear function y=k 1x+b intersects with the X axis at point A, and the inverse proportional function y= intersects with points B and C. If CD is perpendicular to the X axis, the vertical foot is D. If the abscissa of point C is 2, OA=OD,
* * *1* * Find the relationship between inverse proportional function and linear function;
* * * 2 * * According to the given conditions, please directly write the solution set of inequality k 1x+b≤;
***3*** If points P***, * *, Q***, 2*** are two points on the function image, and >; , for.
Value range * * * Write the result directly * *.
26.*** The full mark of this question is 14 * * *
In Figure 1 to Figure 3, point B is the midpoint of line segment AC and point D is the midpoint of line segment CE. Quadrilateral BCGF and CDHN are both squares. The midpoint of AE is m, and the midpoint of FH is p.
* * * 1 * * As shown in figure 1, A, C and E are on the same straight line. Fill in the blanks according to the picture:
①△BMF is a triangle;
② The positional relationship between MP and FH is, and the quantitative relationship between MP and FH is;
* * * 2 * * Rotate CE in figure 1 clockwise by an acute angle around point C to get figure 2, and answer the following questions:
① Prove that △BMF is an isosceles triangle;
② Does the conclusion of the positional relationship and quantitative relationship between MP and FH in * * *1* * * still hold? Prove your conclusion;
* * * 3 * * shortens the CE in Figure 2 to the CE in Figure 3. Are the three conclusions in * * * 2 * * still valid? * * * You don't need to explain why it is established, but you need to explain why it is not established * * *
Zhejiang Education Edition 8th grade Volume II Mathematics Final Examination Paper Reference Answer
First, the multiple-choice question * * * This big question * * has six small questions, each with 3 points, *** 18 points * * *
1.d; 2.a; 3.d; 4.c; 5.b; 6.C。
Second, fill in the blanks * * * This big question * * has 10 small questions, each with 3 points * * * 30 points.
7.; 8.5; 9.2; 10.0.75; 1 1.; 12. 1+ ; 13.-4; 14. 10﹪; 15.3; 16.④.
Three. Answer the question * * * *10, score 102. The following answers are for reference only. If there are other answers or solutions, score according to the standard. * * *
17.* * The full mark of this question is12 * * *1* * * The original formula =-* * * 4 points * * =-* * 6 points * * *; ***2*** The original formula = ***2 points *** = ***4 points ***= ***6 points * * *.
18.*** The full mark of this question is 8 * * * *1* * *, * * * 2 * * * 3 * * *, and the test: x-2≠0 is the solution of the original equation ***4. * **2 * *, * * 2 points * *, ***4 points * * *.
19.*** The full mark of this question is 8 points * * *1* * A = 4 ÷ 20% = 20 * * * 3 points * *; ***2***∵, * * 5 points * *, * * 7 points * * ∴ The order of possibility from small to large is: ①③② ***8 points, and writing the correct conclusion directly will not be deducted.
20.*** This question is 8 points * * *1* * b1* * * 2,-3 * * * * 2 points * * *; ***2*** Drawing slightly ***4 points * * *, a' * * * * * 0, -6 * * * * * 6 points * * * *; ***3******3, -5***.
2 1.*** The full mark of this question is10 * * *1* * 400 * * * 2 * * *, 56***4 * *, and the supplementary figure * * * is slightly 6 * * *; ***2*** right angle * * or 90 * * * * * 8 points * * *; * * * 3 * * The favorite literary masterpiece is1500× 0.14 = 210 * * * Name * * *10 points * *.
22.*** The full mark of this question is10 * * * *1* * * ∫ There are two equal real roots for the quadratic equation of one variable about X, ∴ and ***2 points * *, ∴ * * 3 points * * * *. ***2***∵ The univariate quadratic equation about X has two unequal real roots, ∴ and ***8 points * *, ∴ and *** 10 points * *.
23.*** The full mark of this question is10 * * *1* * The quadrilateral ABCD is a diamond. The connecting line AC and BD intersect at point O, ∫ quadrilateral AECF is a diamond, ∴AC⊥BD, AO=OC, EO=OF. And the point E. ***2***∵ quadrilateral AECF is a diamond with a circumference of 20, ∴AE=5, ∵BD=24,,, AO=3, AC=6***8 * *, * * 65433.
24.*** The full mark of this question is 10 * * Let the sales unit price be X yuan * * 1 0 * * *, and according to the meaning of the question, it is ***4 points, and the solution is ***7 points * *. When the unit price is 70 yuan, 600 pieces should be entered; When the unit price is 80 yuan, you should enter 400 RMB ***9 points * * *, and answer: * * slightly * * * *10 points * *.
25.*** The full mark of this question is12 * * * *1* * If the area of △COD is 4, the coordinates of C are ***2, -4***, ∴ * * 2 * *. ∵OA=OD, OD=2, ∴AO=2, ∴a point coordinates are * *-2, 0 * *, ∴, ∴ Y =-x-2 * * 4 minutes * * *; * * * 2 * * If the BE⊥x axis intersects with point B at point E, AE=BE, AE=m, B***-2-m, m***, M * * * 2+M * * = 8, then the solution is m=2, so B**. 0 or x≥2***8 points * * *; * * * 3 * * * y 1 & gt; 2 or y 1
26.*** The full mark of this question is14 * * * *1* * * ① isosceles right angle; ②mp⊥fh,mp= FH; ***3 points * * *
* * * 2 * * *①∫b, D and M are the midpoint of AC, CE and AE, respectively, ∴MB∥CD, while MB=CD=BC = BF, ∴△BMF is an isosceles triangle ***5 points * * *;
(2) it still holds. Proof: As shown in the figure, connect MH and MD, and let FM and AC intersect at Q point. From ①, it can be known that MB∨CD, MB=CD, ∴ quadrilateral BCDM is a parallelogram ***6 points * *, ∴ ∠CBM =∠CDM.
∠∠fbq =∠hdc,∴∠FBM =∠MDH,
∴△ FBM △ MDH * * * 7 points * *, ∴FM = MH
And ∠MFB =∠HMD, ∴∠FMH =∠FMD-∠HMD =
∠ AQM-∠ MFB =∠ FBP = 90, ∴△FMH is an isosceles right triangle ***9 points * *.
∵P is the midpoint of FH, ∴MP⊥FH, MP = FH * * 10 point * * *;
* * * 3 * * △ BMF is not an isosceles triangle * *1kloc-0/minute * * *, the reason is: MB=CD≠BC = BF and ∠ FBM > 90 * * * 12 points, you must be correct at the same time to get 1 point * * *; MP⊥FH still holds * * 13 * *, MP = FH still holds *** 14 * *.
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