# Matematicas especiales

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MATEMATICAS ESPECIALES

CURSO ACCESO > 25

DELEGACIÓN DE ALUMNOS CENTRO ASOCIADO DE BALEARES

TEMARIO CURSO ACCESO

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1 = 4  & H    &RQMXQWRGHORVQ1DWXUDOHV &RQMXQWRGHORVQ(QWHURV &RQMXQWRGHORVQ5DFLRQDOHV &RQMXQWRGHORVQ5HDOHV &RQMXQWRGHORVQ&RPSOHMRV 1XPHURH  6XPD 5HVWD 'LYLVLyQ ,JXDOD z { ³     5 1RHVLJXDOD (TXLYDOHQWHD ,QWHJUDOLQGHILQLGD ,PSOLFDVLDKRUD'LV\XQFLyQLQFOXVLYDR 'LV\XQFLyQH[FOXVLYDRR GREOHLPSOLFDFLyQVL\VRORVL &RQMXQFLyQOyJLFD\ 3L  3DUDWRGR ([LVWH

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0XOWLSOLFDFLyQ 0D\RUTXH

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0HQRUTXH  0DVyPHQRV d 0HQRURLJXDO 3 3 IDFWRULDO HV õõ  # (TXLYDOHQWH o &RUUHVSRQGHD I;o< )XQFLyQGH;HQ  → 6ROXFLRQHV 6L E  − DF =  → 6ROXFLyQ 6L E − DF <  → 1RWLHQH6LODHFXDFLyQHVGHODIRUPD D[  + F =  FRQ D ≠  7LHQHGRVVROXFLRQHV [ = ± /2*\$5,7026 6H GHQRPLQDORJDULWPRHQEDVHD!\D ≠  GHXQQ~PHURQ!DOQ~PHUR[TXHYHULILFDD [ = Q  \VHHVFULELUi 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\VRORVLP Q

ORJ  =  →  = 

ORJ  =  →   =  ORJ  Q = Q →  Q =  Q

ORJ   =  →  [ =   → [ = 

ORJ  =  →  [ =  → [ = 

ORJ  =  ORJ H = 

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&DOFXODU
ORJ   = [ →  [ =   → [ = 

ORJ   = [ →  [ =  → [ =  ORJ   = [ →  [ =  → [ = 

ORJ  = [ →  [ =

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 

→  [ =  − → [ = −

ORJ[  − = ORJ[ ORJ

ORJ[  − ORJ[ = 

[ =  [ ORJ[ = → [ = 
&DOFXODU  ORJ [ = ORJ  − [

 ORJ[ = ORJ − [  [  =  − [ [ = − [  + [ −  =  [ = 

 =  − 

−  =  −  −  = 

(OORJDULWPRGHXQQ~PHURQHJDWLYRQRVHSXHGHFDOFXODU &DOFXODU  ORJ [ = ORJ − [ − 

−  ORJ [ = ORJ [ −   − ORJ [  = ORJ [ −    [  + [ +  =  [ =
− 

−   −   −   ORJ  ⋅  = ORJ −  ⋅       ORJ − = ORJ 

1RSRVHHVROXFLyQ

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6H GHQRPLQDHFXDFLyQH[SRQHQFLDOHQXQDYDULDEOHDXQDHFXDFLyQHQXQDYDULDEOHHQODTXHOD

⋅  [ + =    [ + =  [ +  =   [ ⋅  =  [=

&DOFXODU  [ −  ⋅  [ + = −

( ) ( )
[

[ −  ⋅ [ + = −
 [ 

−  ⋅ [ ⋅  + = ...