I. Multiple-choice questions: This big question is a * *12 small question, with 3 points for each small question and 36 points for * * *. Of the four options given in each question, only one meets the requirements of the topic.
The values of 1 and | 3. 14-π | are
a、0 B、3. 14-π C、π-3. 14 D、0. 14
2. As shown in figure (1), the straight line intersects at point O, OM⊥, if α = 44, β =.
a、56 B、46 C、45 D、44
3. Given that secondary roots and secondary roots are of the same kind, the α value of can be
a、5 B、6 C、7 D、8
As shown in Figure (2), Xiao Ming can make the ball just go over the net and land in the right place when playing tennis.
At the position 6 meters away from the net, the height h of the racket hitting the ball is
a、B、 1
C, D,
5. The following calculation is correct.
A, B, C, D,
6. The following statement is correct:
A, it is impossible to win the lottery.
The weather forecast says, "The probability of rain tomorrow is 90%", so it will definitely rain tomorrow.
C, to understand the quality of ice cream in the summer cold drink market, you can take the form of sampling survey.
D, throw two ordinary cube dice, the product of points is odd, the product of points is even, and the probability is the same.
7. As shown in Figure (3), if AD ⊥ CD, AB = 13, BC = 12, CD = 3 and AD = 4, then sinB=
A, B, C, D,
8. The value range of the independent variable x of the function is
A, x ≥-2b, x >-2 and x≠2 C, x≥0 and ≠2 D, x ≥-2 and ≠2.
On September 5 12, a sudden strong earthquake brought great disaster to Wenchuan and other parts of our province.
"If one party is in trouble, all parties will support it". The donation of 45 students from Class 2, Grade 9 in a school in the "Love Rushing to Campus" fundraising activity held by the school is shown in the following table:
Number of donations (RMB) 10 20 30 40 50
Number of donors (person) 8 17 16 2 2
For the 45 data of class donations, the following statement is wrong.
A, median 30 yuan b, majority 20 yuan c, average 24 yuan d, interval 40 yuan.
10, as shown in Figure (4), in the rectangular coordinate system, the quadrilateral OABC is a square,
Vertices a and c are on the coordinate axis, and ⊙M with AB side as the chord is tangent to the X axis.
If the coordinate of point A is (0,8), the coordinate of center M is
a 、( 4,5) B 、( 5,4) C 、( 4,6) D 、( 4,5)
1 1. As shown in Figure (5), in the right-angled trapezoidal ABCD, points AD‖BC and E are CD edges.
Midpoint, if AB = AD+BC, BE =, the area of trapezoidal ABCD is
A, B, C, D, 25
12, the image of known quadratic function is shown in the figure.
Let's order then
Morning & gt0b.m <; Unable to determine the symbol of 0 c.m = 0 d.m.
Volume 2 (multiple choice questions * * 1 14)
Fill-in-the-blank question: This big question has 6 small questions, each with 3 points, and * * * is 18 points. Fill in the answers on the lines in the questions.
13, as shown in Figure (7), point A and point B are on the number axis, and the number corresponding to point A is 2.
If the length of line segment AB is 3, the number corresponding to point B is.
14, in order to help "5? 12 Wenchuan earthquake victims rebuild their homes.
The State Council decided on May 12 that the central government will allocate 70 billion yuan to establish a post-disaster recovery and reconstruction fund this year. 70 billion yuan is expressed as yuan by scientific notation.
15, calculation: =
16 and Figure (8) are three views of a geometry. According to the chart,
The transverse area of this geometry can be calculated as follows
17, the following functions: ① ② ③
④ 。 When the function value y increases with the independent variable X.
What is reduced is (fill in the serial number)
18 As shown in Figure (9), if there is a straight line passing through the point and the X axis in the rectangular coordinate system, and the Y axis intersects with the points A and B respectively, and Ma = MB, then the radius of inscribed circle of △ABO =; If they are tangent to the,, and y axes respectively, and tangent to the,, and y axes respectively,
…,
According to this rule, radius =
Iii. This big question is ***3 small questions, with 9 points for each small question and 27 points for * * *.
19, known, find the value of algebraic expression.
20. if the integer solution of the inequality group is the root of the equation about x, find the value of a.
2 1, as shown in figure (10), AC‖DE, BC‖EF, AC = de.
Verification: af = BD
22. As shown in the figure (1 1), e and f are the midpoint of waist AB and AC of isosceles △ABC respectively.
(1) Use a ruler to find a point m on the side of BC, so that the quadrilateral AEMF becomes a diamond;
(Don't write, leave traces of painting)
(2) If AB = 5cm and BC = 8cm, find the area of diamond AEMF.
23, solve the equation:
24. In order to know the students' favorite ball games, an extracurricular activity group in a school randomly selected 200 students in the ninth grade of the sample school. The survey results are shown in figure (12). Please answer the following questions according to the fan chart:
(1) Find the value of x in the graph.
(2) Find out the number of students who like table tennis best.
(3) If three classmates who like basketball best, 1 classmate who likes table tennis best, and 1 classmate who likes football best go out to participate in a networking activity, and want to choose two of them as leaders (whether positive or negative), list all possible situations and find the probability that both of them are classmates who like basketball best.
Five, this big topic ***2 small questions, each small question 9 points, *** 18 points, of which the 25th topic is multiple choice questions.
25. Choose a question from the two questions A and B. If you do both questions, you will only score with the question A. ..
Question A: As shown in the figure (13), in the trapezoidal ABCD, AD‖BC, point E is the midpoint of the AD side, the extension line connecting BE intersects AC at point F, and the extension line of BE intersects CD at point G..
(1) Verification:
(2) If Ge = 2 and BF = 3, find the length of the line segment BF.
Topic B: Graph (14) is an image of inverse proportional function. When -4 ≤ X ≤- 1, -4 ≤ Y ≤- 1.
(1) Find the analytic expression of the inverse proportional function.
(2) If m and n are on two branches of the inverse proportional function image, please point out the shortest time of the line segment MN (without proof) and find out the range of the length of the line segment MN.
What I choose to do is
26. A computer company has introduced a new type of computer, and the profit since it was put on the market for three months is shown in the figure (15), which can be regarded as a part of a parabola. Please answer the following questions with pictures:
(1) Find the quadratic resolution function corresponding to this parabola.
(2) In the process of operating this computer, which month did the company make the biggest profit? What is the maximum profit?
(3) If you continue to operate like this, please combine what you have learned and analyze the operating conditions of the company in this computer (is it a loss? When did you lose money? ) for prediction and analysis.
Six, this big topic ***2 small questions, each small question 12 points, ***24 points.
27. Read the following materials:
We know that the geometric meaning of |x| is the distance from the point corresponding to x to the origin on the number axis; That is, |x| represents the distance between the corresponding points of the number x and the number 0 on the number axis;
This conclusion can be extended to express the distance between corresponding points on the number axis;
Example 1 Solve the equation. It is easy to see that the number of points on the number axis with a distance of 2 from the origin is 2, that is, the solution of the equation is x = 2.
Example 2 solves the inequality, as shown in figure (16). The solution found on the number axis, that is, the number corresponding to the point from 2 to 1 is-1 and 3, then the solution is X.
Example 3 Solving equations. According to the geometric meaning of absolute value, this equation represents the sum of 1 on the number axis.
The x value of the point where the sum of the distances corresponding to -2 and -2 is 5. On the number axis, the distance between 1 and -2 is 3, and the corresponding point where x satisfies the equation is to the right of 1 or to the left of -2. If the corresponding point of X is on the right of 1, it can be seen from the figure (17) that X = 2;; Similarly, if the corresponding point of X is to the left of -2, X =-3 can be obtained, then the solution of the original equation is x=2 or X =-3.
Refer to the reading material and answer the following questions:
The solution of (1) equation is
(2) Solving inequality ≥ 9;
(3) If any X≤a is true, find the range of A..
28. In the plane rectangular coordinate system, the side AB of △ABC is on the X axis, OA >;; OB, the circle with diameter AB passes through point C.
If the coordinate of C is (0,2) and ab = 5, the abscissas xa and XB of A and B are two equations about X:
(1) Find the value of m and n.
(2) If the straight line where ∠ACB bisector is located intersects with X axis at point D, try to find the analytical expression of linear function.
(3) Let point D be a straight line, and rays CA and CB (except point C) intersect at point M and point N respectively, so whether the value is a fixed value, if so, find a fixed value, if not, please explain the reason.
In 2023, Yangzhou University Sports Admissions Guide (Wushu and National Traditional Sports Spec