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Guangdong 09 higher vocational college entrance examination mathematics examination questions
Guangdong higher vocational mathematics examination questions in 2009

I. Multiple choice questions (15*5=75 points)

1, set, and then (a)

A B C D

2, known as a real number, and geometric series, then (c).

A B C D

3. If the image of a known function (and a real number) passes through the sum of points, the analytical formula is (b).

A B C D

4, in the following vector parallel to the vector is (a)

A B C D

5, the function is (a)

A odd function B Even function C is both odd function and even function D is neither odd function nor even function.

6, known set, then (c)

A B C D

7. Let the function be a decreasing function in the interval, then the relationship between, and is (D).

A B C D

8. If they are all real numbers, it is (c).

A necessary and sufficient condition B necessary condition C necessary and sufficient condition D is neither sufficient nor necessary.

9, known straight line, straight line and (b)

A intersection is not vertical, B intersection is vertical, C parallel is not coincident, and D is coincident.

10, and the focal length of hyperbola is (d)

A B C D

1 1. If the image with known function (real number) is taken as the symmetry axis, the minimum value of is (b).

A B C D

12, if, and, then the value range is (c)

A B C D

13, given that the sum of two points where a straight line intersects a circle is the origin of coordinates, then (b)

A B C D

14, let it be the sum of the previous arithmetic progression, and then (a)

A B C D

15. The resolution function corresponding to the image obtained by vector translation of the image of the function is (d).

A B C D

Fill in the blanks (5*5=25 points)

16. A clothing store launched a garment in May this year, and 1 sold 20 pieces that day. After that, the number of pieces sold every day was 5 more than that of the previous day, so the number of pieces sold on the seventh day was _50__.

17, given the vector, then the modulus of the vector _ _ 5 _ _.

18, the solution of inequality is.

19. In, if the opposite sides of are and satisfy the equation, then.

20, known as a real number, and the focus of an ellipse is the focus of a parabola, then 2.

Third, answer questions.

2 1 and (12 point) are acute angles, and (1) is the sum of (2).

Solution: This is an acute angle, so,

When,

22.( 12 minutes) It is known that Xiao Wang's mobile phone bill is settled on a monthly basis, and the relationship between the monthly phone bill (yuan) and the call time (minutes) can be expressed as a function.

, the monthly call time is 460 minutes in 1, and the monthly call fee is 86 yuan.

(1).

(2) If the call time of Xiao Wang in February and March is 300 minutes and 560 minutes respectively, find the sum of his mobile phone charges in February and March.

Solution: (1) by,

get

Solve, that is,

So ...

(2) 300 minutes in February, and the phone bill is 68 yuan.

560 minutes in March, and the phone bill is RMB.

So the sum of telephone charges in February and March is 68+ 104= 172 yuan.