gre数学考试关于几何的重点试题

gre数学考试关于几何的重点试题

1. If the areas of three of the faces of a rectangular solid are 6,10 and 15, what is the volume of the solid?

A.30

B.90

C.150

D.300

E.450

答案：A

2.△RST lies in the XY-plane and points R and T have (x, y) coordinates (0,0) and (6,0), respectively. The area of △RST is 12.

The x-coordinate of R

The y-coordinate of S

答案：D

3.What is the maximum number of nonover-lapping regions into which 3 lines can divide the interior of a circle?

A.4

B.6

C.7

D.8

E.9

答案:C

4.The rectangular rug shown in the figure above has a floral border 1 foo t wide on all sides. What is the area, in square feet, of that portion of the rug that excludes the border?

A.28

B.40

C.45

D.48

E.53

答案：A

5. The diagram represents a rectangular garden. The shaded regions are planted in flowers, and the unshaded region is a walk 2 feet wide. All angles are right angles.

The sum of the areas of the shaded regions

2,800 square feet

答案：D

6.What are the coordinates of point B in the xy-plane above?

A.(6,12)

B.(6,28)

C.(8,20)

D.(12,20)

E.(14,28)

答案：B

7.If 9 trees are originally planted in a circular pattern as shown above, what is the least number of trees that must be transplanted so that the 9 trees will be in 2 straight rows?

A.4

B.5

C.6

D.7

E.8

答案：B

8.If the sum of the measures of two angles is 180o

,each angle is a supplement of the other, whereas, if the sum of

their measures is 90o

, each is a complement of the other.

The measure of an angle with a supplement that measures 130

o The measure of an angle with a supplement that measures 40

o 答案：C

9.If a solid pyramid has 4 vertices and 4 faces, how many edges does the pyramid have?

A.2

B.3

C.4

D.6

E.8

答案：D

10.A rectangular floor with an area of 12 square meters is drawn to scale with 2 centimeters representing 1 meter.

The area of the scale drawing of the floor

24 square centimeters

答案：A

11.In the rectangular coordinate system, line k passes through the point (0,0) and (4,8); line m passes through the points (0,1) and (4,9).

The slope of line k

The slope of line m

答案：C

12.In the stop sign shown in the figure above, all sides have equal length and all angles have equal measure. If the figure could be rotated 225 degrees in a clockwise direction, point G would be in the position of point.