4pm0_01_que_20150119
TRANSCRIPT
-
!-( / ( !- / (
(- 2#/( ! (/(! -( ! )
#- ()
%( (!
($$
t ) ! #( %#!- %!&t $ ( - - -#% # -) % 1- 2#/( ! !-( !/ ( ! !- !/ (&t !)1( '/)-#!)&t -#/- )/!- 1#(! #((- !)1() 2 1( !# ()&t !)1( - '/)-#!) ! - )%) %(#0 &
t -#- ( #( -) %%( ) $33&t () #( '/)-#! ( )#1! ! (-)
t '/)-#! (/2 #( 2#/ )-(- -# !)1( -&t 2#/( !)1() 2#/ 0 - - - !&
$3.".3$ ()#! /-#! -&
*+$+$+$+
'$ ) '
*"*#!2 $" !/(2 .3$ -(!##! & '
'$ '$$
-
&$
$QVZHU DOO 7(1 TXHVWLRQV
:ULWH \RXU DQVZHUV LQ WKH VSDFHV SURYLGHG
-
%$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
-
$
$ VPDOO VWRQH LV WKURZQ YHUWLFDOO\ XSZDUGV IURP D SRLQW $ DERYH WKH JURXQG $W WLPH WVHFRQGV DIWHU EHLQJ WKURZQ IURP $ WKH KHLJKW RI WKH VWRQH DERYH WKH JURXQG LV V PHWUHV8QWLO WKH VWRQH KLWV WKH JURXQG V W W
D :ULWH GRZQ WKH KHLJKW RI $ DERYH WKH JURXQG
E )LQG WKH VSHHG ZLWK ZKLFK WKH VWRQH ZDV WKURZQ IURP $
F )LQG WKH DFFHOHUDWLRQ RI WKH VWRQH XQWLO LW KLWV WKH JURXQG
G )LQG WKH JUHDWHVW KHLJKW RI WKH VWRQH DERYH WKH JURXQG
-
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
-
!$
)LJXUH
)LJXUH VKRZV WKH TXDGULODWHUDO 2$%&
2$
D 2%
E DQG 2&
F
D )LQG LQ WHUPV RI D DQG E $%
7KH PLGSRLQW RI 2$ LV 3 DQG WKH PLGSRLQW RI $% LV 4
E 6KRZ WKDW 34
E ZKHUH LV D VFDODU VWDWLQJ WKH YDOXH RI
7KH SRLQW 6 OLHV RQ 2& DQG WKH SRLQW 5 OLHV RQ %& VXFK WKDW 26
2&
DQG %5
%&
F 6KRZ WKDW 34 LV SDUDOOHO WR 65
*LYHQ WKDW 34
65
G ILQG WKH YDOXH RI
D
&2
$
%
E
F
-
$
4XHVWLRQ FRQWLQXHG
-
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
-
$
)LJXUH
)LJXUH VKRZV WKH VHFWRU $2% RI D FLUFOH RI UDGLXV FP 7KH FHQWUH RI WKH FLUFOH LV 2DQG WKH DQJOH $2% LV UDGLDQV
D )LQG WKH OHQJWK RI WKH DUF $%
E )LQG WKH DUHD RI WKH VHFWRU $2%
7RWDO IRU 4XHVWLRQ LV PDUNV
UDGLDQV2
$
%
'LDJUDP 127DFFXUDWHO\ GUDZQ
FP
-
*
$
D 2Q WKH D[HV RSSRVLWH GUDZ WKH OLQHV ZLWK HTXDWLRQV
L \ [ LL \ [ LLL \ [
E 6KRZ E\ VKDGLQJ WKH UHJLRQ 5 GHILQHG E\ WKH LQHTXDOLWLHV
\ . [ \ . [ DQG \ - [
)RU DOO SRLQWV LQ 5 ZLWK FRRUGLQDWHV [ \
3 \ [
F )LQG L WKH JUHDWHVW YDOXH RI 3
LL WKH OHDVW YDOXH RI 3
-
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
\
[2
-
&
$
D 6ROYH JLYLQJ \RXU DQVZHU WR VLJQLILFDQW ILJXUHV
]
6ROYH JLYLQJ \RXU DQVZHUV WR VLJQLILFDQW ILJXUHV ZKHUH DSSURSULDWH
E \ \
F [ [ [
-
%
$
4XHVWLRQ FRQWLQXHG
-
$
4XHVWLRQ FRQWLQXHG
-
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
-
!
$
7KH FXUYH & KDV HTXDWLRQ \ [
7KH SRLQW $ ZLWK FRRUGLQDWHV DQG WKH SRLQW % ZLWK FRRUGLQDWHV OLH RQ & DVVKRZQ EHORZ LQ )LJXUH
)LJXUH
7KH ILQLWH DUHD HQFORVHG E\ WKH DUF $% RI FXUYH & WKH D[HV DQG WKH OLQH ZLWK HTXDWLRQ[ LV URWDWHG WKURXJK DERXW WKH [D[LV
D 8VLQJ DOJHEUDLF LQWHJUDWLRQ FDOFXODWH WR GHFLPDO SODFH WKH YROXPH RI WKH VROLGJHQHUDWHG
)LJXUH
E 8VLQJ DOJHEUDLF LQWHJUDWLRQ FDOFXODWH WKH DUHD RI WKH UHJLRQ EHWZHHQ WKH FKRUG $%DQG WKH DUF $% RI & VKRZQ VKDGHG LQ )LJXUH
\
&
2
$
%
[
\
&
2
$
%
[
-
$
4XHVWLRQ FRQWLQXHG
-
$
4XHVWLRQ FRQWLQXHG
-
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
-
&*
$
D 8VLQJ WKH DERYH LGHQWLW\ VKRZ WKDW
E 6KRZ WKDW
F 6ROYH WKH HTXDWLRQ VLQ FRV VLQ FRV IRU - - *LYH \RXU DQVZHUV WR GHFLPDO SODFH ZKHUH DSSURSULDWH
-
&
$
4XHVWLRQ FRQWLQXHG
-
&&
$
4XHVWLRQ FRQWLQXHG
-
&%
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
-
&
$
I [ [ D[ E[ ZKHUH D DQG E DUH FRQVWDQWV
7KH UHPDLQGHU ZKHQ I[ LV GLYLGHG E\ [ LV
7KH UHPDLQGHU ZKHQ I[ LV GLYLGHG E\ [ LV
D )LQG WKH YDOXH RI D DQG WKH YDOXH RI E
E 6KRZ WKDW
F ([SUHVV I[ DV D SURGXFW RI OLQHDU IDFWRUV
G 6ROYH WKH HTXDWLRQ I[
-
&
$
4XHVWLRQ FRQWLQXHG
-
&!
$
4XHVWLRQ FRQWLQXHG
-
&
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
-
&
$
7KH SRLQWV $ % DQG & KDYH FRRUGLQDWHV DQG UHVSHFWLYHO\
D 6KRZ E\ FDOFXODWLRQ WKDW $% LV SHUSHQGLFXODU WR %&
E 6KRZ WKDW WKH OHQJWK RI $% WKH OHQJWK RI %&
7KH PLGSRLQW RI $& LV 0
F )LQG WKH FRRUGLQDWHV RI 0
G )LQG WKH H[DFW OHQJWK RI WKH UDGLXV RI WKH FLUFOH ZKLFK SDVVHV WKURXJK WKH SRLQWV$ % DQG &
7KH SRLQW 3 OLHV RQ %0 VXFK WKDW %3 30
H )LQG WKH FRRUGLQDWHV RI 3
7KH SRLQW 4 OLHV RQ $3 SURGXFHG VXFK WKDW $3 34
I )LQG WKH FRRUGLQDWHV RI 4
J 6KRZ WKDW 4 OLHV RQ %&
-
&
$
4XHVWLRQ FRQWLQXHG
-
%*
$
4XHVWLRQ FRQWLQXHG
-
%
$
4XHVWLRQ FRQWLQXHG
-
%&
$
4XHVWLRQ FRQWLQXHG
7RWDO IRU 4XHVWLRQ LV PDUNV
727$/ )25 3$3(5 ,6 0$5.6
/ColorImageDict > /JPEG2000ColorACSImageDict > /JPEG2000ColorImageDict > /AntiAliasGrayImages false /CropGrayImages true /GrayImageMinResolution 300 /GrayImageMinResolutionPolicy /OK /DownsampleGrayImages true /GrayImageDownsampleType /Bicubic /GrayImageResolution 300 /GrayImageDepth -1 /GrayImageMinDownsampleDepth 2 /GrayImageDownsampleThreshold 1.50000 /EncodeGrayImages true /GrayImageFilter /DCTEncode /AutoFilterGrayImages true /GrayImageAutoFilterStrategy /JPEG /GrayACSImageDict > /GrayImageDict > /JPEG2000GrayACSImageDict > /JPEG2000GrayImageDict > /AntiAliasMonoImages false /CropMonoImages true /MonoImageMinResolution 1200 /MonoImageMinResolutionPolicy /OK /DownsampleMonoImages true /MonoImageDownsampleType /Bicubic /MonoImageResolution 1200 /MonoImageDepth -1 /MonoImageDownsampleThreshold 1.50000 /EncodeMonoImages true /MonoImageFilter /CCITTFaxEncode /MonoImageDict > /AllowPSXObjects false /CheckCompliance [ /None ] /PDFX1aCheck false /PDFX3Check false /PDFXCompliantPDFOnly false /PDFXNoTrimBoxError true /PDFXTrimBoxToMediaBoxOffset [ 0.00000 0.00000 0.00000 0.00000 ] /PDFXSetBleedBoxToMediaBox true /PDFXBleedBoxToTrimBoxOffset [ 0.00000 0.00000 0.00000 0.00000 ] /PDFXOutputIntentProfile () /PDFXOutputConditionIdentifier () /PDFXOutputCondition () /PDFXRegistryName () /PDFXTrapped /False
/CreateJDFFile false /Description > /Namespace [ (Adobe) (Common) (1.0) ] /OtherNamespaces [ > /FormElements false /GenerateStructure false /IncludeBookmarks false /IncludeHyperlinks false /IncludeInteractive false /IncludeLayers false /IncludeProfiles false /MultimediaHandling /UseObjectSettings /Namespace [ (Adobe) (CreativeSuite) (2.0) ] /PDFXOutputIntentProfileSelector /DocumentCMYK /PreserveEditing true /UntaggedCMYKHandling /LeaveUntagged /UntaggedRGBHandling /UseDocumentProfile /UseDocumentBleed false >> ]>> setdistillerparams> setpagedevice