【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.
9 t/ l" @% q" x
& c6 a+ @  G* p( b& A4 j& a

In the figure above,
and
. R  M) ?4 }: F5 Q# N. If the dashed lines bisect the angles with measures of
3 _- ?1 F9 T! z. b$ @7 P and
) q7 r. m. U& O6 K, what is the value of
?

: D' C  Z! S* `# ?( M- o

9 U2 r0 W) b3 s3 y' ]0 t( Z

4 D' o9 f  F5 I; ^A.  
3 d. i/ A/ e: h8 c9 |* l# u  g

B.  
& q, l# u1 E: ~- B( b2 B  ^, f! N
! l; @, }' T8 h& a3 r( ~1 W6 [7 j
C.  
5 v, b3 D7 P  B( ?/ {1 P$ {6 x
( n% v" ~; T! R
D.  
1 P0 c9 I1 \: O

E.  
: k9 v0 s& ^  D3 Z
) c/ k; v: t( W: r8 K
4 m& u; s2 Y& h3 V0 E8 A) a' n( V正确答案:E

' k' u1 y5 G- v' y解析:



. w& Z3 c' C9 ~& y/ o" b5 HFirst, add the labeled points A, B , C,D ,E , and  Oto the figure, as shown above. Then segment
3 W  P6 i" }% N# s( @( H; T bisects
/ C$ M  @+ e8 ~" F) F# W , so
, and
! S; w+ G1 R. d; X . Thus,
. Similarly,
2 F6 r0 m. m5 x4 ] , because  
5 Q2 v1 i- x! @) n- e$ m' wand  
$ s5 D/ W& E. o' R3 {/ hare of equal measure and the sum of their measures is
. From the figure, it follows that
. Therefore,
.
* N& r: b. T, D$ p9 E% e5 E" z
2 y; J: x6 _' r' Y* A) I

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