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Examination paper of liberal arts and mathematics in senior two of Chengxi Middle School, Longhai City, Fujian Province
Mathematics Test Paper of Liberal Arts in Senior Two of Chengxi Middle School, Longhai City, Fujian Province 1. Multiple-choice question: This big question is a small question of * *12, with 5 points for each small question and 60 points for * * *.

1. Let it be an imaginary unit and a complex number, then || = ()

BC 1 year

What are the next three paragraphs? Syllogism? And then what? Minor premise? Yes ()

Because the function is an incremental function; So it is an incremental function; But a function.

A. the fourth century BC.

3. Prove the proposition by reducing to absurdity? At most, one inner angle of a triangle is obtuse. The negative conclusion is ()

A. none of the internal angles is obtuse. There are two internal angles that are obtuse.

C. there are three internal angles that are obtuse. D at least two internal angles are obtuse.

If ab+c.b+>; a+d . & lt;

5. The following conclusion is correct ().

A. when x>0 and x? At 1, lg x+? 2

B. When x & gt0,+? 2

C. when x? 2, the minimum value of x+ is 2.

D. When 0

According to the curve += 1? The parametric equation of the transformation curve is ()

A.(? As a parameter) B. As a parameter)

C.(? As a parameter) D. (? As a parameter)

Parametric equation (? As a parameter) into an ordinary equation as ()

A.y=x-2 B.y=x+2

C.y=x-2(2? x? 3) D.y=x+2(0? y? 1)

What is the polar coordinate equation of the known straight line l 1? Sin=2 0 12, and the parameter equation of line l2 is (t is the parameter), then the positional relationship between l 1 and l2 is ().

A. Vertical B. Parallel

C. Intersecting but not perpendicular D. Coincidence

9 function y =+x (x >; The minimum value of 3) is ().

A.5 B.4C.3 D.2

It is known that the parametric equation of an ellipse is (? For parameters), point m is on an ellipse, and its corresponding parameters? =, point O is the origin, then the slope of the straight line OM is ()

A. 1

In the polar coordinate system, the polar coordinate of point A is (1,? ), point p is the curve c:? =2sin? The minimum value of |PA| is ()

A.0 B。

C.+ 1 D.- 1

It is known that A, B and C are non-zero real numbers, so the minimum value of (a2+b2+c2)(++) is ().

A.7 B.9

c 12d 18

13. If the complex number is purely imaginary, then the value of the real number is 14. In the plane rectangular coordinate system xOy, if the straight line L: (t is the parameter) passes through the ellipse C: (? Is the right vertex of the parameter), then the value of the constant a is _ _ _ _ _ _ _.

15. The maximum value of the function f(x)=x(5-2x)2 is

16. Observe the following inequality.

According to this rule, the first inequality is.

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A factory built a cuboid water storage tank with a cover of 4800m3 and a depth of 3m. If the cost per 1m2 of tank bottom is 150 yuan, and the cost per 1m2 of tank wall is 120 yuan, how to design the tank to minimize the total cost? What is the lowest total cost?

18.( 12 minutes) In the plane rectangular coordinate system, the polar coordinate system is established with the coordinate origin o as the pole and the positive half axis of the X axis as the polar axis. It is known that the polar coordinates of two points M and N on the straight line L are (2,0) respectively, and the parameter equation of circle C is (? As a parameter).

(1) Let p be the midpoint of the line segment MN, and find the plane rectangular coordinate equation of the straight line OP;

(2) Judge the positional relationship between the straight line L and the circle C. 。

(12 point) In the Cartesian coordinate system xOy, the equation of straight line L is x-y+4=0, and the parameter equation of curve C is (? As a parameter).

(1) It is known that the polar coordinate of point P is (4) in the polar coordinate system (the same length unit as the rectangular coordinate system xOy, with the origin O as the pole and the positive semi-axis of X axis as the polar axis); (4) Judge the positional relationship between point P and straight line L;

(2) Let point Q be a moving point on curve C and find the minimum distance from it to line L. 。

. (12)

(i) Find the solution set m of inequality; (2) Try to compare the sizes.

2 1.( 12 points) Let the function f(x)=.

(1) When m=4, find the domain of function f(x);

(2) If the domain of function f(x) is r, find the range of m 22. (1) In the Cartesian coordinate system xOy, the parametric equation of the straight line L is (t is the parameter). In polar coordinate system (taking the same length unit as Cartesian coordinate system xOy, with the origin O as the pole and the positive semi-axis of X axis as the polar axis), the equation of circle C is? =2sin? .

(1) Find the rectangular coordinate equation of circle c;

(2) Let the circle C intersect the straight line L at points A and B. If the coordinate of point P is (3,), find |PA|+|PB|.