Matematicas especiales
CURSO ACCESO > 25
DELEGACIÓN DE ALUMNOS CENTRO ASOCIADO DE BALEARES
TEMARIO CURSO ACCESO
Ë1',&(
7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 7(0$ 1~PHURVHQWHURV\UDFLRQDOHV1~PHURVUHDOHV &RQMXQWRV &RPELQDWRULD 3UREDELOLGDG 6LVWHPDGHHFXDFLRQHVOLQHDOHV 0DWULFHV\GHWHUPLQDQWHV *HRPHWUtD 7ULJRQRPHWUtD ,QWURGXFFLyQDODJHRPHWUtDDQDOtWLFD 9HFWRUHVGHOSODQR 1~PHURVFRPSOHMRV *HRPHWUtDDQDOtWLFDGHOSODQR 6XFHVLRQHV /tPLWHV )XQFLRQHV 3ROLQRPLRV /tPLWHGHIXQFLRQHV &RQWLQXLGDG 'HULYDGDV $SOLFDFLyQGHODGHULYDGDV ,QWHJUDOHV
3URJUDPDV8WLOL]DGRV:RUG3HUIHFW 'HULYH )XQFLRQHVSDUD:LQGRZV 3iJLQDV:(%GHLQWHUpV KWWSZZZ[WHFHVaMODJDUHV KWWSZZZGHULYHHXURSHFRPPDLQDVS KWWSZZZRNPDWKFRP KWWSZZZPDWHPDWLFDVQHW KWWSZZZODIDFXFRPDSXQWHVPDWHPDWLFDGHIDXOWKWP KWWSPDWKRUJPDWKHVWDEOHVKWPFDOFXOXV KWWSZZZDXODIDFLORUJ (QHVWDVSiJLQDVVHSRGUiQHQFRQWUDUHQODFHVUHODFLRQDGRVFRQORVSURJUDPDVXWLOL]DGRVDGHPDVGHXQD GLYHUVLGDGGHSUREOHPDVPDWHPiWLFRV
6,0%2/2*Ë$0$7(0È7,&$
1 = 4 & H &RQMXQWRGHORVQ1DWXUDOHV &RQMXQWRGHORVQ(QWHURV &RQMXQWRGHORVQ5DFLRQDOHV &RQMXQWRGHORVQ5HDOHV &RQMXQWRGHORVQ&RPSOHMRV 1XPHURH 6XPD 5HVWD 'LYLVLyQ ,JXDOD z { ³ 5 1RHVLJXDOD (TXLYDOHQWHD ,QWHJUDOLQGHILQLGD ,PSOLFDVLDKRUD'LV\XQFLyQLQFOXVLYDR 'LV\XQFLyQH[FOXVLYDRR GREOHLPSOLFDFLyQVL\VRORVL &RQMXQFLyQOyJLFD\ 3L 3DUDWRGR ([LVWH
U
u à !
0XOWLSOLFDFLyQ 0D\RUTXH
0HQRUTXH 0DVyPHQRV d 0HQRURLJXDO 3 3 IDFWRULDOHV õõ # (TXLYDOHQWH o &RUUHVSRQGHD I;o< )XQFLyQGH;HQ → 6ROXFLRQHV 6L E − DF = → 6ROXFLyQ 6L E − DF < → 1RWLHQH6LODHFXDFLyQHVGHODIRUPD D[ + F = FRQ D ≠ 7LHQHGRVVROXFLRQHV [ = ± /2*$5,7026 6H GHQRPLQDORJDULWPRHQEDVHD!\D ≠ GHXQQ~PHURQ!DOQ~PHUR[TXHYHULILFDD [ = Q \VHHVFULELUi ORJ D Q = [ 3523,('$'(6
−F D
ORJ D P − ORJ D Q = ORJ D ( P ) Q ORJ D PQ = Q ORJ D P
ORJ D P + ORJ D Q = ORJ D P ⋅ Q
6L P > Q ORJ D P > ORJ D Q HMHPSOR
ORJ D P = ORJ D Q →6L\VRORVLP Q
ORJ = → =
ORJ = → = ORJ Q = Q → Q = Q
ORJ = → [ = → [ =
ORJ = → [ = → [ =
ORJ = ORJ H =
&DOFXODU
ORJ = [ → [ = → [ =
ORJ = [ → [ = → [ = ORJ = [ → [ = → [ =
ORJ = [ → [ =
6HGHQRPLQDHFXDFLyQORJDUtWPLFDHQXQDYDULDEOHDXQDHFXDFLyQHQXQDYDULDEOHHQODTXHOD LQFyJQLWD DSDUHFHVRPHWLGDDXQORJDULWPRDVtSRUHMHPSORORJ D [ + ORJ D P = Q GRQGHP\QVRQQ~PHURV UHDOHV &DOFXODU ORJ [ − = ORJ [
(&8$&,Ï1/2*$5Ë70,&$
→ [ = − → [ = −
ORJ[ − = ORJ[ ORJ
ORJ[ − ORJ[ =
[ = [ ORJ[ = → [ =
&DOFXODU ORJ [ = ORJ − [
ORJ[ = ORJ − [ [ = − [ [ = − [ + [ − = [ =
= −
− = − − =
(OORJDULWPRGHXQQ~PHURQHJDWLYRQRVHSXHGHFDOFXODU &DOFXODU ORJ [ = ORJ − [ −
− ORJ [ = ORJ [ − − ORJ [ = ORJ [ − [ + [ + = [ =
−
− − − ORJ ⋅ = ORJ − ⋅ ORJ− = ORJ
1RSRVHHVROXFLyQ
(&8$&,Ï1(;321(1&,$/LQFyJQLWDDSDUHFHHQHOH[SRQHQWHDVtSRUHMHPSORP [ + Q [ = U GRQGHPQ\UVRQQ~PHURVUHDOHV &DOFXODU ⋅ [ + =
6H GHQRPLQDHFXDFLyQH[SRQHQFLDOHQXQDYDULDEOHDXQDHFXDFLyQHQXQDYDULDEOHHQODTXHOD
⋅ [ + = [ + = [ + = [ ⋅ = [=
&DOFXODU [ − ⋅ [ + = −
( ) ( )
[
[ − ⋅ [ + = −
[
− ⋅ [ ⋅ + = ...
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