【SAT官方每日一题】8/4/12 Mathematics > Standard Multiple Choice

滚吧肥汤圆UID: 3272378

Read the following SAT test question and then click on a button to select your answer.
4 O/ D" ?$ {# B7 X2 T( R


/ T) s6 r4 b# HIn the figure above,
and
. If the dashed lines bisect the angles with measures of
4 z: z/ |( Z! b and
0 y4 e* t1 T$ v, y, what is the value of
?
9 e  g  v6 W8 f& r
) L7 O5 v+ I8 ~3 ]' v% N
6 g' [; T, R' O1 E
* S* J  ?# W' K' \/ h( d# `9 c- c

4 p) n0 ]- v+ W" {% WA.  
# P1 h8 a2 `4 p7 s+ c0 e

B.  
( F5 n8 x; \9 A7 `* t

7 {0 W$ M  |" k# f; Z7 B: g8 A* ~0 nC.  
7 I# ^* j8 h- B7 ~* I

, j6 H$ `1 G( {7 u/ p# R! oD.  
  e: A# @3 H5 o0 C; J% P) @$ o
) M; h; k8 ]" f& W- j+ v. I% \9 Z
2 Y9 y! V" u$ K; T6 r4 h6 @E.  


, d, U! u( C- B4 M6 B# E3 d# w5 U正确答案:E
/ r" S, Q) w0 a) m
解析:

3 K; m0 [2 v2 P+ e) a4 P% O5 o! E! L6 d
$ h- D9 {. E7 s$ T; R2 b( U1 Z/ k
' R$ b. z% U* Q8 J$ qFirst, add the labeled points A, B , C,D ,E , and  Oto the figure, as shown above. Then segment
bisects
1 \9 d8 a& g4 p  |9 b0 u$ k , so
, and
. Thus,
( c6 c( r1 `: F5 K) Q* }# f . Similarly,
) h9 F/ U8 w/ f$ ?# K; S" e , because  
+ V- ^, E9 b( Eand  
are of equal measure and the sum of their measures is
  v) Y) D- A9 L2 V/ `+ V, O1 o. From the figure, it follows that
. Therefore,
.


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