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Read the following SAT test question and then click on a button to select your answer.5 s% ~' u% c" m1 x
# p b! |+ L8 i e2 R7 J5 M& q* d
, E5 {0 {/ ?1 r8 P# E5 Z
% w) X7 y3 @9 R! o: dIn the figure above,
! z( `4 `* p6 ^. j1 q and
& f+ k- @# S$ O. If the dashed lines bisect the angles with measures of
& Y; c7 M( C8 j6 l- p4 u+ v and 9 ?- X% \; A% k* c5 d% N; K
, what is the value of
; R/ A" Y& K# y" i? + D$ q* r1 d9 J" @+ F
( M1 a6 v0 I6 Y* ?" f3 N0 l
3 L r* K/ l0 O1 N9 `+ ^8 S( A) L! Y) k; t# W, x
' ~8 w' Q2 c2 O" i
3 s( |1 s4 p7 S' {' L) ]A. , s0 k0 V& H2 p/ G3 p$ k
2 S! T/ \4 s3 A
6 I' f3 F: |. ~8 b; k) B5 |B. + o, _2 G5 Y q6 z
$ D% S# d( Y, ?9 z+ U4 C: m
$ t1 {. V& }$ S5 `C. $ I$ j9 o) |+ B8 j
( S! v0 m3 L; ~" m
1 L9 K) R2 R& Y& ~; h3 `
D.
2 M* H X. S, x3 d6 Z
1 G2 P d7 W: j3 f) z% p% `5 j' ~0 r
E. 7 `. z2 B% M& s7 r; l5 Z
, J2 J3 j2 A8 u- t2 E. E. h
* N" B9 b9 C2 l# Y; F3 B8 o6 ~正确答案:E- s: K. g l! l0 w) `
; R1 a# a3 l# d; W
解析:4 x) C( P4 [- v; H9 I
. M5 t7 x; J' [9 A. ]7 h2 A) j x- U; K
' D2 D! W$ y' l( JFirst, add the labeled points A, B , C,D ,E , and Oto the figure, as shown above. Then segment
, C8 U& ?0 o% C" y/ x. y/ P bisects
" r" ?8 G1 r9 b7 j5 j; ]8 A , so
: ]8 J h) a2 T( z4 t, and' @% S& u" ^$ g1 ?* R( R6 E
. Thus,7 m3 v* k/ K2 V
. Similarly,
2 X8 ~# `6 v. q7 J# y' {3 F , because
) X- Z* B1 |! ~, h+ {0 Aand
, y/ n, t) k' ` D- Nare of equal measure and the sum of their measures is
# c/ E- `; G, `6 Q% _. g3 E. From the figure, it follows that * U( E2 M+ [4 G( F' S! h$ K1 }
. Therefore,( M" U; o4 R8 |3 Z1 V
.
! r. N) C$ S( ]9 l. f3 }( V' M
7 e* d! @( j R4 z2 M/ o Y; t' ]: z( ~- d8 V
0 T8 i" i9 a1 C2 o |
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