...

Matematica: prove di ingresso al biennio

by user

on
Category: Documents
4

views

Report

Comments

Transcript

Matematica: prove di ingresso al biennio
0DUFHOOR%ROOLQL%HQHGHWWR9HUWHFFKL
0DWHPDWLFDSURYHGLLQJUHVVR
DOELHQQLR
/DEDWWHULDGLSURYHGLFRPSHWHQ]DPDWHPDWLFDFKHTXLVL
SUHVHQWD q VWDWD HODERUDWD DOOR VFRSR GL GHOLQHDUH XQ
SURILOR SHU LO SRVVLELOH SUHFLVR GHOOH FRQGL]LRQL LQ FXL JOL
DOOLHYL DFFHGRQR DOOD VFXROD VHFRQGDULD VXSHULRUH ,O
JUXSSR GL ODYRUR KD SHUWDQWR SURFHGXWR DG LQGLYLGXDUH
JUDQGLVHWWRULGLFRPSHWHQ]D
D OD FDSDFLWj GL YDOXWDUH VWDELOLUH UHOD]LRQL GL
PDJJLRUDQ]D R PLQRUDQ]D LQGLYLGXDUH RUGLQL GL
JUDQGH]]DFRJOLHUHDSSURVVLPD]LRQLHTXLYDOHQ]HHFF
E ODFRQRVFHQ]DGHLWHUPLQLGHOOLQJXDJJLRJHRPHWULFR
F ODFRQRVFHQ]DGHLWHUPLQLGHOOLQJXDJJLRDULWPHWLFR
G OD FDSDFLWj GL SDVVDUH GDO OLQJXDJJLR YHUEDOH DO
OLQJXDJJLRVLPEROLFRHYLFHYHUVD
H ODFDSDFLWjGLFDOFROR
$WWRUQRDWDOLVHWWRULGLFRPSHWHQ]DVRQRVWDWLHODERUDWLL
WHVW FKH FRVWLWXLVFRQR OD EDWWHULD 9HGUHPR SL DYDQWL
FRPH GDOO
DQDOLVL GHL ULVXOWDWL VL SRVVD JLXQJHUH DOOD
GHILQL]LRQHGHOSURILORGLFLDVFXQDOOLHYRWUDPLWHLOULFRUVR
DGXQDSURFHGXUDDXWRPDWL]]DWD
7(67'
,1*5(662
3URYD
6HULHYDOXWDUH
6H]$
3HU FLDVFXQ JUXSSR GL QXPHUL LQGLFD LO PDJJLRUH VEDUUDQGR
LOTXDGUDWLQRUHODWLYR
$OOHDWWLYLWjTXLGHVFULWWHKDQQRSDUWHFLSDWRLGRFHQWL0%ROOLQL()HUUL(
*UDVVL50XFFLROL,3DQFRWWL55RVWL
6HULHYDOXWDUH
6H]%
7UDTXDOLQXPHULLQWHULqFRPSUHVRLOYDORUHGDWR"$SSRQL
XQDFURFHWWDVXOTXDGUDWLQRFRUULVSRQGHQWHDOODULVSRVWDFKH
ULWLHQLHVDWWD
6HULHYDOXWDUH
6H]&
6HJQDFRQXQDFURFHWWDODFDVHOODFRUULVSRQGHQWHDOYDORUH
FKHULWLHQLHVVHUHSLYLFLQRDOO
HVSUHVVLRQHGDWD
6HULHYDOXWDUH
6H]'
$SSRQL XQD FURFHWWD QHO TXDGUDWLQR UHODWLYR DOOD VFULWWXUD
FKHULWLHQLHTXLYDOHQWHDTXHOODGDWD
6HULHYDOXWDUH
,OVLPEROR!VLJQLILFD©qPDJJLRUHGLª
,OVLPEROR•VLJQLILFD©qPDJJLRUHRXJXDOHGLª
,OVLPERORVLJQLILFD©qPLQRUHGLª
,OVLPEROR”VLJQLILFD©qPLQRUHRXJXDOHGLª
,OVLPERORVLJQLILFD©qGLYHUVRGDª
4XDOHGHOOHVHJXHQWLDIIHUPD]LRQLqYHUD"
,QGLFDORFRQXQDFURFHWWD
6H](
6HULHFRQRVFHQ]DGHLWHUPLQLJHRPHWULFL
3HU RJQL TXHVLWR VRQR IRUPXODWH TXDWWUR SRVVLELOLWj GL
ULVSRVWD YHUEDOH H SHU DOFXQL DQFKH TXDWWUR SRVVLELOLWj GL
ULVSRVWD JUDILFD $WWHQ]LRQH 8QD VROD ULVSRVWD YHUEDOH HG
XQDVRODULVSRVWDJUDILFDqFRUUHWWD
$SSRQL XQDFURFHWWDQHLTXDGUDWLQLUHODWLYLDOOHULVSRVWH FKH
ULWLHQLHVDWWH
4XDQGRGXHOLQHHVLGLFRQRVHFDQWL"
&KHFRVDVLLQWHQGH
FROWHUPLQHELVHWWULFH" 4XDOLVRQRVHFDQWL"
4XDOHLQGLFD]LRQHqHVDWWD"
4XDQGRXQDQJRORVLGLFHRWWXVR"
4XDOHqRWWXVR"
&KHFRVDVRQRLFDWHWL"
4XDOHLQGLFD]LRQHqHVDWWD"
&KHFRVDVLJQLILFDYHUWLFH"
4XDOHLQGLFD]LRQHqHVDWWD"
LQXQWULDQJROR"4XDOHLQGLFD]LRQHqHVDWWD
&KHFRV
qO
DOWH]]D
LQXQWULDQJROR"
&KHFRVDVRQROHGLDJRQDOL"
&KHFRVDqXQ
DUFRGLFLUFRQIHUHQ]D"
4XDOHLQGLFD]LRQHqHVDWWD"
4XDOHLQGLFD]LRQHqHVDWWD"
4XDOHLQGLFD]LRQHqHVDWWD"
&KHFRVDVLLQWHQGH
SHUFRUGDLQXQFHUFKLR"
4XDOHLQGLFD]LRQHqHVDWWD"
4XDQGRXQSROLJRQRVLGLFH
LQVFULWWRLQXQDFLUFRQIHUHQ]D" ,QGLFDOR
&
qGLIIHUHQ]DIUDFLUFRQIHUHQ]DHFHUFKLR"
4XDQGRGXHILJXUHJHRPHWULFKHVRQRHTXLYDOHQWL"
3URYD
6HULHFRQRVFHQ]DGHLWHUPLQLDULWPHWLFL
q GLYLVLELOH SHU 4XDOH GHOOH VHJXHQWL HVSUHVVLRQL VL SXz
VRVWLWXLUH VHQ]D FDPELDUH LO VLJQLILFDWR GHOOD SURSRVL]LRQH D
©GLYLVLELOHSHUª"
q GLYLVRUH GL 4XDOH GHOOH VHJXHQWL HVSUHVVLRQL VL SXz
VRVWLWXLUH VHQ]D DOWHUDUH LO VLJQLILFDWR GHOOD SURSRVL]LRQH D
©GLYLVRUHGLª"
4XDQWLGLYLVRULKD"
4XDQWLGLYLVRULKD"
,OPDVVLPRFRPXQGLYLVRUHGLHq
,OPDVVLPRFRPXQGLYLVRUHGLHq
,OPLQLPRFRPXQHPXOWLSORGLHq
,OPLQLPRFRPXQHPXOWLSORGLHq
6L SDUOD GHO PDVVLPR FRPXQH GLYLVRUH PD QRQ GHO PLQLPR
FRPXQHGLYLVRUHGLGXHQXPHUL3HUFKp"
6L SDUOD GHO PLQLPR FRPXQH PXOWLSOR PD QRQ GHO PDVVLPR
FRPXQHPXOWLSORGLGXHQXPHUL3HUFKp"
4XDOHGLTXHVWHSURSRVL]LRQLqIDOVD"$WWHQ]LRQH/HDOWUHVRQR
YHUH
4XDOHGLTXHVWHSURSRVL]LRQLqIDOVD"$WWHQ]LRQH/HDOWUHVRQR
YHUH
4XDOHGLTXHVWHSURSRVL]LRQLqIDOVD"$WWHQ]LRQH/HDOWUHVRQR
YHUH
4XDOHGLTXHVWHSURSRVL]LRQLqYHUD"$WWHQ]LRQH /HDOWUHVRQR
IDOVH
QXPHULHVRQRSULPLIUDORURSHUFKp
4XDOH WUD OH VHJXHQWL FRSSLH GL QXPHUL q IRUPDWD GD QXPHUL
SULPLIUDORUR"
,OPDVVLPRFRPXQGLYLVRUHGLGXHQXPHULSULPLIUDORURq
,OPLQLPRFRPXQHPXOWLSORGLGXHQXPHULSULPLWUDORURq
6H XQ QXPHUR q PXOWLSOR GL XQ DOWUR LO ORUR PDVVLPR FRPXQ
GLYLVRUHq
6H XQ QXPHUR q PXOWLSOR GL XQ DOWUR LO ORUR PLQLPR FRPXQH
PXOWLSORq
3URYD
6HULHGDOYHUEDOHDOVLPEROLFR
6H]$
3HU FLDVFXQD GHOOH VHJXHQWL HVSUHVVLRQL YHUEDOL QRQ LPSRUWD VH
FRUUHWWD R QR GDO SXQWR GL YLVWD PDWHPDWLFR KDL TXDWWUR GLYHUVH
SURSRVWHGLIRUPXOD]LRQHLQVLPEROLPDWHPDWLFL
$WWHQ]LRQH 8QD VROWDQWR q HVDWWD PHQWUH OH DOWUH VRQR HUUDWH
,QGLFDFRQXQDFURFHWWDODULVSRVWDFKHULWLHQLFRUUHWWD
(V/DGRSSLDGLIIHUHQ]DWUDXQPH]]RHGXHqPDJJLRUHGL]HUR
,OQXPHURTXDWWURHOHYDWRDOTXDGUDWRqXJXDOHDRWWR
/DPHWjGLGXHTXLQWLqGXHGHFLPL
,OQXPHURGXHWHU]LqGLYHUVRGDOQXPHURTXDWWURVHVWL
,O QXPHUR QHJDWLYR GXH VRPPDWR DO QXPHUR QHJDWLYR WUH q
XJXDOHDOQXPHURSRVLWLYRFLQTXH
,OSURGRWWRWUDLOQXPHURSRVLWLYRXQPH]]RHLOQXPHURQHJDWLYR
GXHWHU]LqXQWHU]R
,OQXPHURSRVLWLYRWUHqPDJJLRUHGHOVXRRSSRVWR
,OGRSSLRGLPHQRGXHWHU]LQRQqPDJJLRUHGL]HUR
GXHWHU]LGHOODPHWjGLXQRVRQRSLGLXQR
,OGRSSLRGLPHQRFLQTXHqPLQRUHGHOQXPHURVWHVVR
/D VRPPD GL GXH WHU]L FRQ XQ PH]]R q GLYHUVD GDO SURGRWWR
GHJOLVWHVVLQXPHUL
\qLOGRSSLRGL[VRWWUDWWR
\ qLOGRSSLRGHOTXDGUDWRGL[
\VXSHUDGLXQPH]]RLOGRSSLRTXDGUDWRGL[
\VXSHUDGLXQRODPHWjGL[VRPPDWR
\qODVHPLVRPPDGL[FROVXRTXDGUDWR
3URYD
6HULHGDOVLPEROLFRDOYHUEDOH
6H]%
'L FLDVFXQD GHOOH VHJXHQWL VFULWWXUH LQ VLPEROL PDWHPDWLFL QRQ
LPSRUWDVHFRUUHWWDRQRGDOSXQWRGLYLVWDPDWHPDWLFRKDLTXDWWUR
GLYHUVHSURSRVWHGLWUDGX]LRQHYHUEDOH
$WWHQ]LRQH 8QD VROD q HUUDWD PHQWUH OH DOWUH VRQR HVDWWH ,QGLFD
FRQXQDFURFHWWDODWUDGX]LRQHFKHULWLHQLHUUDWD

ô!


\ [
[\!
3URYD
6HULHFDOFROR
&RPSOHWD OH VHJXHQWL VFULWWXUH LQ PRGR FKH OH XJXDJOLDQ]H VLDQR
YHULILFDWH
/D EDWWHULD GL SURYH FKH VL q SUHVHQWDWD QHOOH SDJLQH SUHFHGHQWL
IRUQLVFH XQD JUDQGH TXDQWLWj GL LQIRUPD]LRQL FKH RFFRUUH
DQDOL]]DUH HG HODERUDUH SHU RWWHQHUH TXHOOH LQGLFD]LRQL VXOOH
FRPSHWHQ]H GHJOL DOOLHYL FKH VRQR QHFHVVDULH DJOL LQVHJQDQWL SHU
LPSRVWDUH YDQWDJJLRVDPHQWH O
DWWLYLWj DOO
LQJUHVVR QHOOD VFXROD
VHFRQGDULDVXSHULRUH
/H SURFHGXUH GD VHJXLUH SHU O
DQDOLVL VRQR SLXWWRVWR OXQJKH H
ULFKLHGRQR VH HVHJXLWH FRQ VLVWHPL ©FDUWD H PDWLWDª XQD JUDQGH
GLVSRQLELOLWj GL WHPSR 6L GRYUHEEHUR LQIDWWL WUDVFULYHUH OH VLQJROH
ULVSRVWH SHU RUJDQL]]DUOH LQ OXQJKL WDEXODWL TXLQGL HIIHWWXDUH XQD
VHULH GL HODERUD]LRQL VWDWLVWLFKH FKH SHU TXDQWR QRQ GLIILFLOL VRQR
IDWLFRVH H ULSHWLWLYH Ë FRPH GLUH FKH q LPSUREDELOH FKH OR
VWUXPHQWR GL YDOXWD]LRQH SUHVHQWDWR SRVVD HVVHUH XWLOL]]DWR LQ
FRQGL]LRQL GLGDWWLFKH FRUUHQWL VH OD IDVH GL DQDOLVL HG HODERUD]LRQH
GHL GDWL QRQ q RSSRUWXQDPHQWH RUJDQL]]DWD 3HU TXHVWD UDJLRQH OH
RSHUD]LRQL SULPD PHQ]LRQDWH FRUULVSRQGHQWL D PRGHOOL GL
FRUUH]LRQH PHVVDJJL GLIIHUHQ]LDWL D VHFRQGD GHOOD TXDOLWj GHOOH
ULVSRVWH HFF VRQR VWDWH SRL DXWRPDWL]]DWH WUDPLWH XQ
SURJUDPPDUHDOL]]DWRGDO3URI0DXUR/D7RUUHGHO'LSDUWLPHQWRGL
6FLHQ]HGHOO
(GXFD]LRQHGHOO
8QLYHUVLWj©/D6DSLHQ]DªGL5RPD
/DSURFHGXUDDXWRPDWL]]DWDIRUQLVFHTXDGULULDVVXQWLYLGHLULVXOWDWL
YILJSHUFLDVFXQDVH]LRQHGHOODEDWWHULDHSHUO
LQWHUDEDWWHULD
0DFRVDDQFRUDSLLPSRUWDQWHIRUQLVFHXQ©SUR
ILORªGHLVLQJROLDOOLHYLDQFKHLQTXHVWRFDVRSHUVLQJROLDVSHWWLGHOOD
FRPSHWHQ]D R ULDVVXQWLYR DO TXDOH VL DJJLXQJRQR QRWH GL
RULHQWDPHQWRGHOO
DWWLYLWjGLGDWWLFDYILJ
)LJXUD (VHPSLRGLSUHVHQWD]LRQHGLGDWLG
LQVLHPH
)LJXUD (VHPSLGLSURILOLDXWRPDWL]]DWL
127$
8QR VFKHPD GL SURFHGXUD SHU IRUPDOL]]DUH O
LWHU YDOXWDWLYR DWWUDYHUVR
JLXGL]LHQRWHGLGDWWLFKHUHODWLYHDLVLQJROLDOXQQLqVWDWRPHVVRDSXQWR
GDOSURI0DUFHOOR%ROOLQL1HULSRUWLDPRXQFDPSLRQHTXLGLVHJXLWR
Fly UP