Reference answers and grading standards of mathematics test questions
First, multiple-choice questions:
1.A 2。 C 3。 D 4。 A 5。 B 6。 A seven. B 8。 C 9。 C 10。 D
Second, fill in the blanks:
1 1. 12. 13. 14.6 15.8
16.6 *16.17.4918. Or
Third, answer questions:
19. Solution: 2 points for the original formula.
When, 2 points.
Original formula. 1 integral
20.( 1) draw correctly; 2 points
(2) Drawing correctly. 3 points
2 1. Solution: From the meaning of the problem,
2 points
, the maximum value is. 1.
. 1 point
1 point
The maximum value is 128.
22. Proof:
, namely. 1.
Overall, 3 points.
. 1 point
23. solution: from the meaning of the question, 1 minute.
, .2 points
. 1 point
, (nautical mile) .2 points
At this time, the distance between the ship and the lighthouse is the sea.
24. Solution: (1) The number of people who like novels after class is the largest, with 20 people; 2 points
(2) As can be seen from the figure, (person) .2 points.
A * * * selected 50 students.
(3) Estimated total score from the sample: (person) .2 points.
Among 800 people, about 192 people like anime extracurricular books best.
25. For each picture shown in Figure (a), Figure (b) and Figure (c), score 2 points.
26. Solution: (1) Let the purchase price of each part B be yuan, then the purchase price of each part A is yuan.
Judging from the meaning of the question, 1 minute
Get a score of 0. 1
Test: When,, is the solution of the original fractional equation. 1 min.
(yuan) 1 min
A: The purchase price of each part A is 8 yuan, and the purchase price of each part B is 10 yuan.
(2) If a part of Type B is purchased, a part of Type A is purchased.
Score 1 from the topic meaning.
Get a score of 0. 1
Is an integer, or. * * * There are two schemes. 1 min.
They are:
Option 1: Buy 67 pieces of Class A and 24 pieces of Class B;
Option 2: Buy 70 Class A parts and 25 Class B parts. 1 min.
27.( 1) Proof:
.
.
.
. 1 point
. 1 point
, .
,. 1 point
(2) .2 points
(3) As shown in the figure,
, .
, .
, .
From (2),
. 1 point
, an isosceles right triangle.
.
Do it at point and point respectively.
A quadrilateral is a rectangle,,,
.
, .
.
.
,. 1 point
, .
, , .
. 1 point
, , .
1 point
. 1 point
28.( 1) Take the intersection as the axis and the vertical foot as (as shown in figure 1).
, .
The quadrilateral is a diamond,
,. 1 point
Let the analytical formula of a straight line be:
The analytical formula of the straight line is:. 1.
(2) The coordinates of the point obtained from (1) are.
As shown in figure 1, when a point moves on the edge,
Judging from the meaning of the question.
.2 points
When a point moves on an edge, it is recorded as.
, , .
, .2 points
(3) Let and intersect at the point and connect at the point.
, .
, , ,
, .
When the point moves on the edge, as shown in Figure 2.
, .,
,,. 1 point
, .
, ,
.
In,,
, .
In,,
. 1 point
When the pointer moves on the edge, as shown in fig. 3,
, ,
,. 1 point
.
Similarly, it can be proved.
.
,. 1 point
To sum up, when, and are complementary angles, the tangent of the acute angle between straight lines is; When, and are complementary angles, the tangent of acute angles between straight lines is 1.
(If the above questions have different solutions and are correct, please mark them according to the corresponding steps. )