Mathematics Test
This paper contains three main questions. Full volume ***4 pages. Full score 120, test time 120 minutes.
Precautions:
1. All questions must be answered on the answer sheet. If the question is not answered in the specified area, the total score of each error area is 1. Answering questions on test papers and draft papers is invalid.
2. Before answering questions, candidates must fill in their names and admission ticket numbers on the answer sheet and test paper with black pens or signature pens.
3. After choosing the answer for each multiple-choice question, use 2B pencil to black the answer label of the corresponding question on the answer sheet. If you need to change it, clean it with an eraser, and then choose to apply other answer labels. Write the answers on the answer sheet with a black pen or signature pen for non-multiple choice questions.
4. When drawing on the answer sheet, you can use a 2B pencil first, and after confirmation, you must use a signature pen or a pen-and-ink drawing with black handwriting.
First, multiple-choice questions (this topic is entitled * * 18, with 2 points for each question and 36 points for * * *).
Of the four alternative answers listed in each question, only one meets the requirements of the topic. Wrong coating, too much coating or no coating do not score.
1. Let a = {x | x ≤}, then the following formula is correct ().
A.2∈A B.2？ A C.2? {2}？ A
2. If the function f (x) = kx-3 is increasing function in its domain, then the quadrant that the image of this function passes through is ().
A. Quadrants one, two and three B. Quadrants one, two and four
C. Quadrants 1, 3 and 4 D Quadrants 2, 3 and 4
3. As we all know, a>b>c, then the following formula must be correct ().
A.ac & gt B.A-C> BC; b-c C. & ltD.a+c=2b
4. If the function f(x) satisfies f (x+ 1) = 2x+3, then f (0) = f(0)=.
A.3 B. 1 C.5 D
5. In arithmetic progression {an}, if A2 = 4 and A5 = 13, then A6 = ().
14， 15， 16， 17
6. In the range of 0 ~ 360, and? The same angle of the 390 terminal edge is ()
2 10 D.330
7. Given two points A (- 1, 5) and B (3, 9), the midpoint coordinate of line segment AB is ().
A.( 1，7) B.(2，2)c .(2，-2，-2) D.(2， 14)
8. Let p: x = 3 and q: x2-2x-3 = 0, then the following statement is correct ().
A.p is a sufficient condition for q, but p is not a necessary condition for q.
B.p is a necessary condition for q, but p is not a sufficient condition for q.
Necessary and sufficient conditions for c.p to be q
D.p is neither a sufficient condition nor a necessary condition for q.
9. Inequality? 3-2 times? The solution set of< 1 is ()
A.(-2，2) B.(2，3) C.( 1，2) D.(3，4)
10. given the plane vectors A → = (2 2,3), B → = (x, y) and B →-2a → = (1 7), the values of x and y are () respectively.
A.B. C. D。
1 1. If α ∈ (,π) and cos α =- are known, then sin α = ().
A.- Boston center-
12. The original price of a commodity is in 200 yuan. If it is sold after two consecutive price increases of 10%, the new price is ().
222 yuan 240 yuan 242 yuan 484 yuan
13. If four of the six candidates are elected as deputies to the National People's Congress, the number of people with different election results is ().
15
14. Eccentricity of hyperbola -= 1 Yes ()
A.B. C. D。
15. Given the equation of a circle as x2+y2+4x-2y+3 = 0, the center coordinates and radius are () respectively.
The center coordinate is (2, 1) and the radius is 2b. Center coordinate (-2, 1), radius is 2.
C center coordinate (-2, 1) has a radius of 1 d center coordinate (-2, 1) has a radius of.
16. Given that the straight line AX+2Y+ 1 = 0 is perpendicular to the straight line 4x+6Y+ 1 1 = 0, the value of a is ().
A.-5 B.- 1 C.-3 D. 1
17. If log2x = 4, then x =
A.4 B. 4 C.8 D. 16
18. As shown in the figure, in the cube ABCD-A1b1c1d1,the angle formed by two straight lines AC and BC 1 is ().
(photo 18)
A.30
b45
C.60
Cao 90
Fill in the blanks (this topic is entitled ***8 small questions, with 3 points for each small question and 24 points for * * *).
19. The domain of the function f(x)= log2(x-3)+ is _ _ _ _ _ _ _ _ (expressed by interval).
20. The focal length of the ellipse +y2 = 1 is _ _ _ _ _.
2 1. Simplified SIN (π-α)+COS (+α) = _ _ _ _ _.
22. If the distance from a given point (3,4) to a straight line 3x+4y+c = 0 is 4, then c = _ _ _ _ _ _
23. given x> 1, the minimum value of x+ is _ _ _ _ _.
24. The maximum value of the function y = 3-8 sinx (x ∈ r) is _ _ _ _ _ _ _ _.
25. the positional relationship between the straight line X+Y+ 1 = 0 and the circle (X- 1) 2+(Y+ 1) 2 = 2 is _ _ _ _ _.
26. It is known that the lateral expansion of a cone is a semicircle with a radius of 4cm, so the volume of this cone is _ _ _ _ _ cm3.
Third, answer the question (this big question is ***8 small questions, ***60 points)