1. As shown in the figure, the condition that a//b may not be exported is ................ ().
A.∠ 1=∠3B。 ∠2=∠4
C.∠ 1=∠4D。 ∠2+∠3= 180
2. Suppose two sides of a triangle are 3 and 9 respectively, and the third side of this triangle may be ............. ().
A.5B.6C.9D. 13
3. The following calculation is correct: ............................................ ()
A.x2+x2=2x4B.x2x3=x6C。 (2x3)2=2x6D。
Water drops keep falling on the stone. A few years later, a small stone with a depth of 0.0000048 cm was formed.
Kong, then the number 0.0000048 can be expressed as ............................................................... () by scientific notation.
A.4.8× 10-6B
5. If someone only takes two kinds of RMB, 2 yuan and 5 yuan, and he wants to buy a commodity from 25 yuan, and the store has no change, then his payment method is ............................................. ().
1。
6. After one corner of the polygon is cut off, the sum of the outer corners of the polygon will be ........................... ().
A. it is possible to reduce 180B. C. it is possible to increase 180D.
7. It is known that ∠A and ∠B are complementary, and ∠A is 30 times larger than ∠ B. Let the degrees of ∠A and ∠ B be x and y respectively, then the following equation is ...........................
A.x+y= 180，x=y-30。 B.x+y= 180，x=y+30。 C.x+y=90，x=y+30。 D.x+y=90，x=y-30。
8. As shown in the figure, the number of correct expressions for calculating the shadow area is.
( 1)( 1.5m+2.5m)(m+2m+2m+m)-2×2.5m×2m
(2) 1.5m×(m+2m+2m+2m+m)+2×2.5m×m+2.5m×2m
(3)2×( 1.5m+2.5m)×m+2× 1.5m×2m+( 1.5m+2.5m)×2m
(4)( 1.5m+2.5m)×2m+2[( 1.5m+2.5m)(m+2m)-2.5m×2m]
1。
Fill in the blanks (as long as you understand the concept, calculate carefully and think positively, I believe you will fill in the blanks correctly. Each blank is 2 points, ***24 points)
9. Calculate X4x2 = _ _ _ _ _ _ (-3xy2) 3 = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _; 0. 12520 1 1×820 10=.
10. Given xm=8, xn=32, xm+n=.
1 1. If (2x+y)(x-2y)=2x2-mxy-2y2, then m=.
12. If x+y=7 and x2+y2=5, then xy=.
13. It is known that x=3 and y=- 1. It is the solution of the equation kx-2y=7, then k=.
14. As shown in the figure, in ABC, if CD divides ∠ACB, DE//AC, DC//EF equally, it has _ _ _ equiangles with ∠ACD.
15. As shown in the figure, EO⊥CA extends to point O, BA extends to EO to point D, ∠B=30, ∠E=40, then
∠ ace = _ _ _ _ _ _ _ _ _, ∠ oad = _ _ _ _ _ _.
16. If the sum of the internal angles of a polygon is 900, the number of sides of the polygon is.
17. As shown in the figure, a classmate cut two pieces of cardboard with an angle of 50 (∠BAC=∠EDF=50) and translated one piece to connect AD. If AGD is an isosceles triangle, then the degree of ∠GAD is _ _ _ _ _ _ _ _.
Third, solve the problem (easy to solve, you will be great, solving the problem requires necessary problem-solving steps, this big problem ***52 points)
18. Calculation (4 points for each question, *** 16 points)
( 1)(-20 1 1)0+(-3)2-()- 1(2)m2(-n)3(Mn)4
(3)(x2+2x- 1)(x- 1)(4)(x-2y)2-(x+2y)(x-2y)
19. Solving the equation: (4 points for each question, ***8 points)
( 1)2x-y=0，3x-2y=5。 (2)x2-y4=0，3x-y=2。
20.( 1) Compare the sizes of two numbers in the following categories by calculation: (fill in ">", "< or" = ")
①_____________,②___________,③___________,
④_____________,……
(2) From (1), we can guess the size relationship between n-(n+ 1) and (n+ 1)-n(n is a positive integer):
When n _ _ _ _ _ _ _ _ _ n-(n+ 1) >; (n+ 1)-n； When n _ _ _ _ _ _ n-(n+ 1)
2 1. As shown in the figure, ab∨CD and AE intersect at point C, DE⊥AE, the vertical foot is E, and ∠ A = 37. The number of times to find ∠ d.
(5 points)
22. In order to beautify the environment, a residential area needs to build flower beds on a rectangular green space with a length of x and a width of y, which requires that the area occupied by flower beds should not exceed half of the green space. To this end, Xiao Ming designed the scheme as shown below. The flower bed consists of a rectangle and two semicircles, where m and n are x and y respectively. If x=32y, does Xiao Ming's design meet the requirements? Please explain it in some way. (5 points)
23. A company purchased 1600 m3 poplar in Suqian, china yiyang's hometown, and planned to complete this task in 20 days. It is understood that the company can finish processing 50m3 poplar or roughly process1300m3 poplar every day.
(1) How should the company arrange the days of finish machining and rough machining before completing the task on schedule?
(2) If the profits per cubic meter of poplar after finishing and rough machining are 500 yuan and 300 yuan respectively, how much can the company earn from the processed wood? (5 points)
24. As shown in the figure, there is a quadrilateral paper ABCD, AB//CD, AD//BC, ∠A=60. Fold the paper in half along crease MN and PQ respectively, so that point A coincides with point E on AB side, point C coincides with point F on CD side, EG bisects ∠MEB intersects CD at G, and FH bisects ∠ PFP. (2)ME//PF。 (7 points)
Reference answer of junior one mathematics
First, multiple-choice questions:
1.C2
Second, fill in the blanks:
9. 10. (or 256)11.m = 312.xy = 2213.14.4.
15.50, 20 16.7 17.50 or 80 or 65 (if 1 or 2 is written correctly,1; If you write too much or make a mistake, you won't score).
Part II: Senior One 1 Examination Paper and Answers. Multiple choice questions (3 points for each small question, 30 points for * * *).
1. The side length of a square with an area of 2 is ()
A. Integer B. Fraction C. Rational number D. Irrational number
2. Given a-b, the following inequality must hold ().
Asian Development Bank.
3. The square root of is ()
A.9B.9C.3D. 3
4. The following operation is correct ()
A.B
CD。
5. The order of three numbers is ()
A.-3 \\-π\\- b \\-π\\- 3 \\- c \\- 3 \\-πd \\- 3 \\--π
6. There are the following statements: ① Rational numbers correspond to points on the number axis one by one; ② Numbers without radical sign must be rational numbers; ③ Negative numbers have no cubic roots; ④ is the square root of 17. The correct one is ().
A.0 B. 1 C.2 D.3
7. The solution set of the inequality group on the number axis is ().
University of California, USA.
8. The negative integer solution of inequality has ()
1。
9. If the solution set of inequality is, then the value of a is ().
a . 34b . 22c-3d . 0
10. A large supermarket purchased a batch of fruits from the production base, and the quality lost during transportation 10%. Assuming that other expenses of the supermarket are not included, if the supermarket wants to make a profit of at least 20%, then the price of this fruit should be increased at least on the basis of the purchase price ().
A.40%B.33.4%C.33.3%D.30%
Fill in the blanks (4 points for each question, 24 points for * * *)
The reciprocal of 1 1. 1 is _ _ _ _ _ _ _.
12. Between the sum of two consecutive integers, the value of+is.
13.-0.00000259 is expressed by scientific notation as _ _ _ _ _ _ _ _ _ _ _.
14. If, then =? .
15. If, the value of is? .
16. If there is a set of inequalities and there is no solution, then the value range of _ _ _.
Third, answer the question (this big question is ***6 small questions, ***66 points)
17. (This is entitled 10) Calculation
( 1)(2)
18. (This question 12 points) Solve inequalities (group)
⑴⑵
19. (This title is 10) It is known that the square root is 3 and the cube root is 3. Find the square root of.
20. (this question 10 points) the equations of x and y are known.
(1) Find the solution of this system of equations;
(2) When m is taken, in the ` solution of this equation group, x is greater than 1 and y is not less than-1.
2 1. (This title is 10) Party A and Party B calculate an algebraic expression multiplication: because Party A copied the symbols in the first polynomial by mistake, the result is; Because b omits to copy the coefficients in the second polynomial, the result is. Please calculate the sum and write the correct result of multiplication of this algebraic expression.
22. (Question 14) In order to seize the business opportunities of local culture and art festivals, a store decided to buy two kinds of art festival souvenirs, A and B. If it buys eight kinds of souvenirs, it needs 950 yuan. If you buy five Class A souvenirs and six Class B souvenirs, you need 800 yuan.
(1) How much does it cost to buy A and B souvenirs?
(2) If the store decides to buy two kinds of souvenirs, 100, and considering the market demand and capital turnover, the funds used to buy this 100 souvenir are not less than 7,500 yuan, but not more than 7,650 yuan, how many purchase schemes does the store have?
(3) If every A-type souvenir can be sold at a profit in 20 yuan and every B-type souvenir can be sold at a profit in 30 yuan, which of the various purchase schemes in (2) is the most profitable? What is the maximum profit?
Third, answer questions:
18( 1)(-20 1 1)0+(-3)2-()- 1(2)m2(-n)3(Mn)4
= 1+9–4……3 ' =-m2 n3m 4n 4……3 '
=6……4'=……4'
(3)(x2+2x- 1)(x- 1)(4)(x-2y)2-(x+2y)(x-2y)
= x3+2 x2-x-x2-2x+ 1……2 ' = x2-4xy+4 y2-(x2-4 y2)……2 '
=……4'=x2-4xy+4y2-x2+4y2……3 '
=……4'
19. Solving equations
(5)x=-5，y=- 10。 (2 points for solving a value) (6)x=2, y=4. (2 points for solving a value)
20.& gt& gt& lt& lt
2 1. Solution: ∫ab∨CD, ∠ A = 37 ∴∠ ECD = ∠ A = 37...2'.
∵ de ⊥ AE, ∴∠ ECD = 90 ... 3 feet.
∴∠D=90 -37 =53 ……5 '
22. Solution 1:... 1' Solution 2:... 1'
……………2'=(л 16+38)y2
……3’≈0.572 y2…………2’
12S rectangle = 0.75y2 ……
∴ Meet the requirements of .................... 4'
…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
Meet the requirements
23.( 1) X days for finish machining and Y days for rough machining.
……………………………………2'
Answer: 8 days for finishing and 0/2 days for rough machining. ………………………3'
(2) (yuan)
A: The profit is 560,000 yuan. ………………………………5'
24.( 1)∵ point a is folded along MN and coincides with point e.
Point c is folded along PQ and coincides with point F.
∴∠mea=∠a∠pfc=∠c……………………… 1'
* DC//AB
∴∠D+∠A= 180
∴∠D= 120
∫ AD//BC
∴∠C+∠D= 180
∴∠C=60
∴∠MEA=∠PFC=60
∴∠MEB=∠PFD= 120
Eg and FH are angular bisectors.
∴∠meg=∠geh=∠pfh=∠hfd=60……3 '
* DC//AB
∴∠DGE=∠GEH
∴∠DGE=∠GFH
∴GE//FH………………………………………4'
(2) Connect EF
∫GE//FH
∴∠GEF=∠HFE
∠∠Meg =∠PFH = 60。
∴∠GEF+∠MEG=∠HFE+∠PFH
∴∠MEF=∠PFE
∴ME//PF…………………………………7'
Part III: Senior One Examination Paper and Answers. Choose carefully: (Only one answer is correct, 3 points for each question, ***30 points)
1. Among the following four graphs, ∠ 1 and ∠2 are diagonal graphs ().
(A)0 (B) 1
1 1
2. If point P(x, y) is in the first quadrant, then point B(x+y, x2-y) must not be (? )
A first and second quadrants b third and fourth quadrants
C second and third quadrants d second and fourth quadrants
3. As shown in the figure, AB//CD can be judged as () under the following conditions.
a、∠ 1=∠3B、∠2=∠3C、∠ 1=∠4D、∠3=∠4
4, a car driving on a straight road, after two turns, still in the original direction, then the two turns ()
A. Turn right 30 for the first time and 30 for the second time.
B, the first right turn is 30, and the second right turn is 150.
C. Turn left 30 for the first time and turn right for the second time 150.
D. Turn left 30 for the first time and turn right 30 for the second time.
5. If two parallel lines are cut by a third straight line, the positional relationship of the bisector of the same angle is ().
A, mutually perpendicular b, parallel c, intersecting but not perpendicular d, parallel or intersecting are all possible.
6. If: known, the coordinate of A is (? )
a 、( 3，2)B 、( 3，-2)C 、( 2，3)D 、( 3，-2)
The cube root of 7 is ()
Asian Development Bank.
8. In each group of pictures below, the one on the left is obtained after the translation () on the right.
Accelerated business collection and delivery system (adopted by the United States post office)
9. There are the following propositions: ① Negative numbers have no cubic roots; ② The cube root of a real number is either positive or negative; ③ The cube root of a positive or negative number is the same as this number; If the cube root of a number is the number itself, then the number is 1 or 0. Among them, the wrong one is ()
A.0 B. 1 C.2 D.3
10, as shown in the figure, given that AO⊥OB, CO⊥DO and ∠ BOC = 0, the degree of ∠AOD is ().
a 、- 90 B、2-90°
c、 180 - D、2 - 180
Title 123456789 10
answer
Second, patiently fill in: (3 points for each question, ***24 points)
1 1. The absolute value is and the reciprocal is.
The square root of 12 is.
13, given that point A (-3,2m-1) is on the X axis and point B (n+ 1, 4) is on the Y axis, then point C (m, n) is in the _ _ _ quadrant.
14, as shown in the figure, ∠ 2 = 50, then ∠ 1 =,
∠3= ,∠4=
15, given point A (1 2), the AC⊥x axis is at point C, and the coordinates of point C are _ _ _ _ _ _ _.
16,. Given that the two square roots of a positive number are sum, then =, =.
17. Move point A(-3, -2) to the right by 5 unit lengths to get point A 1, and then move A 1 up by 4 unit lengths to get point A2, so the coordinates of point A2 are.
18. The result of simplification at that time was.
Third, do it with your heart (***66 points)
19, calculation: (5 points for each question, ***20 points)
( 1)+3—5(2)
(3); (4);
20.(6 points) Simplification, || +|+;
2 1, (7 points) Think carefully and complete the following reasoning process.
As shown in figure EF∨AD, ∠ 1=∠2, ∠BAC=70o, find ∠AGD.
Solution: ∫EF∨AD,
∴∠2=()
∵∠ 1=∠2,
∴∠ 1=∠3,
∴AB∥()
∴∠BAC+= 180o()
∵∠BAC=70o,∴∠AGD=。
22.(6 points) It is known that the square root of 2a- 1 is 3 and the cube root of 3a+b+9 is 3. Find the arithmetic square root of a+2b.
23.(7 points) In the rectangular coordinate system shown in the figure, the vertex coordinates of triangle ABC are A (0,0), B (6,0) and C (5,5) respectively. Find: (1) Find the area of triangle ABC; (2 points)
(2) If the triangle ABC is shifted upward by 3 unit lengths, the triangle A 1B 1C 1 is obtained, and then shifted rightward by 2 unit lengths, the triangle A2B2C2 is obtained. Draw triangles A 1B 1C 1 and A2B2C2 respectively. And try to find the coordinates of A2, B2 and C2? (5 points)