gre数学考试关于几何的重点试题(二)

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　　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
* ~! }* @) E8 g$ I: A1 R" g* r　　答案：C
4 x9 S' }* P$ A* G. O/ S4 ^: N( E6 ` 　　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.

　　A.I
' h4 S0 l$ B6 M2 m9 [　　B.J
　　C.K
　　D.L
　　E.M
　　答案：B
( ]' T; f* J. A/ v# \. v 　　13.What is the ratio of the perimeter of a pentagon with each side of length 6 to the perimeter of an octagon with each side of length 6?
( w3 q) Z7 G! ]7 f* D3 G0 b　　A.5/6
　　B.4/5
　　C.3/4
% D  t8 J6 @( V- X( ], R　　D.2/3
1 o6 T; S: ~' b% Q　　E.5/8

. M$ b- b) o6 R5 L+ G7 x& I* o　　答案：E

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</p> 　　14.A circular flower bed is inscribed in a flat, square garden plot that measures x meters on each side.
4 \5 X7 Z+ d$ g5 `　　The fraction of the garden plot area that is not part of the flower bed if x=50 meters
　　The fraction of the garden plot area that is not part of the flower bed if x=45 meters
; M" [( p9 c9 _' `/ x6 n& b　　答案：C
2 `: A' e/ X# o) q9 z 　　15.The dimensions, in centimeters, of rectangular box R are 6 by 8 by 10. Which of the following cannot be the total surface area, in square centimeters, of two faces of R?
　　A.96
+ R. B( |6 @" J6 n1 V" v/ x　　B.120
　　C.128
% {% q: K. C$ `9 W" \5 N/ r) m　　D.160
　　E.180
4 }+ e7 w+ |3 X1 v# M3 y2 ]　　答案：E
　　16.The figure above shows a large square formed by fitting three L- shaped tiles and one small square tile together. If a rectangular floor 10 feet by 12 feet is to be tiled in large squares of this design, how many L-shaped tiles will be needed?
! v$ \% H, ^* d% T
8 U* h: z  g1 o4 p0 c" f　　A.810
　　B.405
　　C.270
# _% A+ ]; T* Y2 J1 m. ]  c　　D.135
8 B' y" p- {8 |　　E.45
8 d. ]6 ~$ b3 n* p$ G# t
　　答案：A

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</p> 　　17.A certain rectangle has perimeter 54. If the ratio of the length of the rectangle to the width is 5 to 4, what is the length of the rectangle?
- n4 |( A9 A8 Q　　A.30
/ o0 a3 d+ y# U9 s4 G" c: ^　　B.27
　　C.24
4 A# ?% ]4 l$ i" U9 n' k( u　　D.18
　　E.15
3 j$ x5 h- t2 @6 G" P) a　　答案：E
　　18.In the rectangular coordinate system above, the coordinates of points A and B are shown. If the dotted lines represent a second pair of coordinate axes with origin at A, and if the scale is the same on both pairs of axes, what are the coordinates of point B with respect to the second pair of axes?

　　A.(-33,88)
　　B.(33,48)
' `: C5 D& k' J% l: [　　C.(33,-48)
9 j% [: M* I0 o7 r) }4 q　　D.(97,88)
. R. p5 k7 {. Y1 X　　E.(97,-88)

, R- P8 B0 X: T6 q4 X4 V　　答案：C

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</p> 　　19. If the perimeter of the rectangle above is 36, then l=

- n  Q% @3 U5 }- A　　A.9
　　B.14
　　C.16
　　D.28
　　E.32
# W3 ]  H; j+ |4 I2 Y, `  G　　答案：B
1 t" ]" r. C8 P* a 　　20.If the perimeter of a triangle is 18, then the length of one of the sides cannot be
2 w, X, C6 u5 F9 w8 `　　A.1
　　B.3
/ a) V; W5 ~' |: @$ n　　C.6
　　D.8
; {2 Z0 J$ I  }4 z2 E) W  }　　E.9
8 {+ [2 m1 a  ]& P/ C* _　　答案：E