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
1 Z& d5 T, z" O2 b2 ^1 g　　The slope of line m
" z% A  L- K6 ~) v　　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.

　　A.I
4 W" Q+ |7 J2 x) Y/ U" z# l　　B.J
6 Z; D( t% r) c+ E　　C.K
3 [7 e# w# W8 Q4 ~　　D.L
1 M; U* S: \3 y- Q1 U　　E.M
　　答案：B
　　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?
3 C3 d' @3 Y0 s# K0 p  k1 I/ N  z+ }　　A.5/6
# I* R# Z  M( y: K! \　　B.4/5
　　C.3/4
, r1 o7 j1 l) K9 O, O2 F  J8 q6 M　　D.2/3
9 l9 Z: N% s  G$ F　　E.5/8
* I7 E! D& s6 D8 c
- h% q0 @1 v8 \7 o( P! k　　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.
　　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
* m4 i: p2 H1 d+ D; a& Q' Y: B　　答案：C
　　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
+ W8 ]  M2 S" |0 F; ~- Y: q& Z　　B.120
9 v# T* {( \' E* k2 {　　C.128
　　D.160
: T& w- m" w2 n8 {8 a) H9 F　　E.180
' e0 F# n4 U6 c+ s　　答案：E
! R9 {8 Q5 `& Y& v* E. b 　　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?
4 m+ c9 {  j# x( A4 P
　　A.810
　　B.405
. C$ H* s" i% F, _& y) R: K　　C.270
9 v4 Q* z# B- z) L　　D.135
　　E.45
+ w3 z' x  g1 j# {7 J1 F. K
　　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?
　　A.30
' n+ g% {+ o( r% M" G　　B.27
5 Q9 L* Y7 R  M0 g! [/ @2 B　　C.24
, i6 U/ d4 d4 u' c* Z9 F　　D.18
　　E.15
　　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?
' h- P, U% s+ h! T1 y/ i! b
　　A.(-33,88)
　　B.(33,48)
. }/ y& r# ~% o- u　　C.(33,-48)
　　D.(97,88)
　　E.(97,-88)

+ Q4 l& d' u$ r3 m: e% Q! A　　答案：C

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

　　A.9
　　B.14
! Z8 K* y) F$ X9 Z　　C.16
　　D.28
　　E.32
　　答案：B
( G# J6 |3 u- a( V 　　20.If the perimeter of a triangle is 18, then the length of one of the sides cannot be
　　A.1
　　B.3
% j2 g6 F3 g4 n: S　　C.6
　　D.8
　　E.9
　　答案：E