Please help me copy the senior one math test paper of PEP below (urgent need).

High school mathematics final synchronous test questions

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Note: This paper is divided into two parts: Volume I and Volume II. 60 points for volume 1, 90 points for volume 2, * *150 points, and the answer time is 120 minutes.

The first volume (multiple choice questions, ***60 points)

1. Multiple choice questions: (5 points for each question, ***60 points, please fill in the selected answers in brackets)

1. An equation about the symmetry axis of a function is ().

A.B. C. D。

2. The angle θ satisfies the condition sin2θ.

A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant

3. Given that sinθ+cosθ=, θ∈(0, π), cotθ is equal to ().

A.b .-c . d-

4. It is known that O is a point on the plane of △ABC. If++=, and || = ||, then △ABC.

Yes ()

A. arbitrary triangle B. right triangle C. isosceles triangle D. equilateral triangle

5. It is known that non-zero vectors A and B are not * * * lines, then (a+b) ⊥ (a-b) is () of |a|=|b|.

A. Sufficient and unnecessary conditions B. Necessary and insufficient conditions

C. Necessary and sufficient conditions D. It is neither a sufficient condition nor a necessary condition

6. The result of simplification is ()

A.B. C. D。

7. For a given vector, the maximum and minimum values of the vector are () respectively.

A. BC16,0

8. Use the function y = sinx to reduce the abscissa of all points on the image to half of the original, keep the ordinate unchanged, and then translate the image to the left by one unit, which corresponds to the analytical formula () of this image.

A.y=cos2x B.y=-sin2x

C.y=sin(2x- ) D.y=sin(2x+)

9. So the minimum value of y is ()

A.–2 b .– 1 c . 1d

10. In the following interval, the interval that increases as a function is ().

A.B. C. D。

1 1. The image with function y=x2+4x+5 is translated once according to vector a to get the image with y=x2, then a is equal to ().

A.(2，- 1) B.(-2， 1) C.(-2，- 1) D.(2， 1)

The minimum positive period of 12. Yes ()

A.B. C. D。

Volume 2 (multiple choice questions, ***90 points)

Fill in the blanks: (4 points for each small question, *** 16, please fill in the blanks for the answers)

13. Given O (0 0,0) and A (6 6,3), if point P is the ratio of directed line segments and point P is the midpoint of line segment OB, the coordinate of point B is _ _ _ _ _ _ _ _ _ _ _ _.

14., then the included angle is _ _.

The maximum value is 15. Y = (1+sinx) (1+cosx) is _ _ _ _.

16. In,,, then the size is _ _ _ _ _ _.

Three. Problem solving: (this big problem * * 74 points,17-21each question 12 points, 22 questions 14 points)

known

(i) Seek;

(2) When k is a real number, is k in the same direction or in the opposite direction when parallel?

18. given function f (x) = 2cos2x+sin2x+A, if x∈[0,] and | f(x) |；; 0, )

(i) Find the approximate expression of the function;

(II) Generally speaking, when a ship is sailing, it is considered safe when the distance between the bottom of the ship and the seabed is 5 meters or more. The draft of the ship (the distance from the bottom to the surface) is 6.5 meters. If the ship wants to enter and leave the port safely in the same day, how long can it stay in the port at most?

Senior one mathematics examination questions-reference answers for final examination papers

First, multiple-choice questions:

1、A2、B3、B4、D 5、C 6、C 7、D 8、A 9、C 10、B 1 1、A 12、C

Second, fill in the blanks:

13、(4,2) 14、 15、 16、

Third, answer questions:

17. Analysis: ① = (1 0)+3 (2,1) = (7,3), ∴ = =.

② k = k ( 1，0)-(2， 1) = (k-2， 1)。 Let k =λ (), that is, (k-2,-1) = λ (7,3).

So when k=, they are antiparallel.

18. Analysis:

Solve.

19. Analysis: (1) is obtained from cos2x≠0, and the solution is x≦, so the domain of f(x) is

And x≦}

(2) The domain of f (x) is symmetric about the origin, and f (-x) = f (x).

F (x) is an even function.

(3) when x≠

because

So the range of f(x) is ≤ ≤2}

20. Analysis: (1) According to the topic, f (x) = 2cos2x+sin2x =1+2sin (2x+).

sin(2x+)=-from 1+2 sin(2x+)= 1-。

∫-≤x≤,∴-≤2x+≤,∴2x+ =-，

That is x=-.

(2) Translate the image with function y=2sin2x with vector c=(m, n) to get the image with function y=2sin2(x-m)+n, that is, the image with function y=f(x).

F (x) = 2sin2 (x+)+ 1。 ∵| m | < ,∴m=-，n= 1。

2 1. Analysis: In,,,

, obtained by cosine theorem.

So ...

In, CD = 2 1,

= .

Derived from sine theorem

(km). So this bus is 0/5 kilometers away from City A/KLOC.

22. Analysis: (1) From the known data, the easy-to-know period is T = 12.

∴

According to the known amplitude

∴