First, multiple-choice questions (3 points for each small question, 36 points for * * *)
The title is123455678911112.
Answer B D D A C C A D C B
Fill in the blanks (3 points for each small question, *** 18 points)
Title:131415161718.
answer
(The answer is not unique)
36
③④
17 There are errors in the units in the problem diagram and the units in the problem. When correcting, the answer calculated by "time" is: calculated by "second", and the answer is 16200, but this answer has no practical significance. Both answers are correct when correcting.
Iii. Answering questions (***66 points)
Note: 1. Scoring is carried out in steps, and integral scores are set in each step;
2. If there are other solutions, as long as they are correct, you can refer to the grading standard and grade each step accordingly.
19. Solution:
= 2 points
= 3 points
= 4 points
When =3, =2, the original formula = 5 points.
20. Solution: The score is 1.
Get two points.
3 points
Get 4 points from ①.
Score 5 points from ②.
6 points
2 1. Solution: (1) The representative sample selected by Xiaoli is 1.
The average vision of the city's third-year graduates is 2 points.
(2) As shown in the figure (omitted), 5 points.
The median range is -7 points.
(3) The number of people whose eyesight meets the requirements = 1400 9 points.
22. Solution: (1) Let the analytical formula of parabola be 1.
The parabola passes through point C (3, 10)
3 points
4 points
(2) After translating the parabola downward by 4 units,
The analytical formula of parabola is:
Point D corresponding to point C is (3,6) 5 points.
Earn, get, get, 7 points.
PQ=5, 8 points
23. Solution: (1) (2) (3)
Note: the answer to each question is not unique, as long as it meets the conditions of the question.
Items (1) and (2) deserve 2 points, and item (3) deserves 3 points.
24. Solution: (1) Associated Original Currency
OA=OB,CA=CB
OC⊥AB 2 points
The straight line AB is tangent to ⊙ O at 4 points.
②o is OP⊥EF in p.
EP=FP 5 points
EF=2FG
FP=FG
EG⊥AB
FPO=∠FGA,
And ∠PFO=∠AFG.
△ OPF△ AGF 7 points
AF=FO=OC, which means AO=2OC.
∠A=
∠AOC=,∠AOB=
AB=,OC=6
9 points
25. Solution: (1) Suppose B needs days to complete this task alone, then A needs days to complete this task alone.
Judging from the meaning of the question: 2 points
Score for solving equation: 3 points
After testing, it is the root 4 of the equation.
5 points
A: It takes 80 days for Party A to complete the task alone, and 50 days for Party B to complete the task alone.
(2) The production days of enterprise B are 7 minutes.
(3) From the meaning of (2) and the question:
9 points
Solution:
Answer: Enterprise A must produce 10 points for at least 40 days.
26. Solution: (1)C(3,), m (0) 2 points (each 1 point).
BME is a right triangle.
The quadrilateral OABC is a diamond,
The straight line AC is three points of its symmetry axis.
PE⊥AC
Point p and point e, point o and point b are all symmetrical about AC by 4 points.
∠EBM=∠AOM=
BME is a right triangle with five angles.
(3) connect OE,
∠PBM =∠ EOM from symmetry
PBM= OAB Asia Pacific = AEO
∠EOM= OAB
∠EOM+∠EOA=
OAB +∠EOA=
Asia Pacific = AEO = 7 o'clock
B(3, 1)
OP= 1 so AP=4,
= 8 points
(4) As shown in Figure 2, the link OB is known from the question, meaning OP=OQ, POB= QOB,
OB⊥PQ,
OB⊥AC, pq∑AC can be known from the rhombic OABC of quadrilateral.
PE⊥AC
QPB=,
PQE is an isosceles triangle, which can only be PE=PQ 9.
The score comes from APE∽ AOB: PE=, 10.
Score from OPQ ∽ O AC: PQ= 1 1.
= Solution:
That is, when PQE is an isosceles triangle, 12 points.