2

Click here to load reader

proporcionalidade direta 1

Embed Size (px)

Citation preview

Page 1: proporcionalidade direta 1

(VFROD�6HFXQGiULD�GD�6p�/DPHJR)LFKD�GH�7UDEDOKR�GH�0DWHPiWLFD������ 3URSRUFLRQDOLGDGH�'LUHFWD���� ����$QR1RPH� BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB 1���BBBB 7XUPD� BBB

�� $V�JUDQGH]DV�GDV�WDEHODV�VHJXLQWHV�VmR�GLUHFWDPHQWH�SURSRUFLRQDLV��&RPSOHWD�FDGD�XPD�GHODV�[ � � � ] ��� ���� ��\ ����� ������ W ���� ���

�� &RPSOHWD�DV�WDEHODV�GH�PRGR�TXH�D�GD�HVTXHUGD�UHSUHVHQWH�JUDQGH]DV�GLUHFWDPHQWH�SURSRUFLRQDLV H�QDGD�GLUHLWD�D�UHODomR�HQWUH�DV�JUDQGH]DV�QmR�VHMD�GH�SURSRUFLRQDOLGDGH�GLUHFWD�[ �� ��� ����� ������ ������ ] �� ��� ��� ���\ � W �

�� 2EVHUYD�R�UHIHUHQFLDO�FDUWHVLDQR�D� &RPSOHWD�D�WDEHOD�3RQWR $ % & ' ($EFLVVD ��2UGHQDGD ��

E� 1HVVH�PHVPR�UHIHUHQFLDO�UHSUHVHQWD�RV�SRQWRV�3 ���������4 ���������5 ���������6 ��������H��7 ��������� 2EVHUYD�D�WDEHOD�D� 1R�UHIHUHQFLDO�DR�ODGR�H�HVFROKHQGR�XPDHVFDOD�DGHTXDGD�SDUD�R�HL[R�GDV�RUGHQDGDV�UHSUHVHQWD�RV�SRQWRV�FRUUHVSRQGHQWHV�DRV�YDORUHV�GD�WDEHOD�E� (VWD�UHODomR�p�XPDSURSRUFLRQDOLGDGH�GLUHFWD"(P�FDVR�DILUPDWLYR��TXDO�p�D�FRQVWDQWHGH�SURSRUFLRQDOLGDGH"F� (VFUHYH�XPD�LJXDOGDGH�TXHUHODFLRQH�[ FRP�\�

�� 'HWHUPLQD�R�YDORU�GH�[�QDV�VHJXLQWHV�SURSRUo}HV�D� ��� � [ E� � ����� �������� [F� [ �������� ��� �� G� �� ��[ ��

A

B

C

D

E

0 5 10

5

10

x

y

[ \� ���� ����� ����� ����� ����� ���

0 x

y

10 20 30

Page 2: proporcionalidade direta 1

�� $�PROD�GD�ILJXUD�WHP����FP�GH�FRPSULPHQWR�4XDQGR�R�3HGUR VXVSHQGH�SHVRV��D�PROD�DORQJD�VH�ILFD�PDLV�FRPSULGD���2V�DORQJDPHQWRV�HVWmRLQGLFDGRV�QR�TXDGUR� D� &RQVWUyL�R�JUiILFR�FRUUHVSRQGHQWH�D�HVWH�TXDGUR�E� &RPSOHWD�D�WDEHOD�D�VHJXLU�LQGLFDGD��SRU�IRUPD�DUHVSRQGHU�jV�VHJXLQWHV�TXHVW}HV�4XDO�R�DORQJDPHQWR�SDUD�RV�SHVRV�����NJI������NJI�����NJI�H����NJI"4XDO�R�FRPSULPHQWR�GD�PROD�HP�FDGD�XPD�GHVWDVVLWXDo}HV"3HVR��NJI� �� ���� �� ��$ORQJDPHQWR��PP�&RPSULPHQWR�GD�PROD��FP�

F� $YHULJXD�VH�VmR�GLUHFWDPHQWH�SURSRUFLRQDLV�DV�JUDQGH]DV�SHVR HFRPSULPHQWR GD�PROD��� 'RLV�FLFOLVWDV�UHVROYHUDP�SHUFRUUHU�����NP�SDUD�YHU�TXDO�FKHJDYDSULPHLUR��8P�GHOHV�VRIUHX�XPD�TXHGD�H�SUHFLVRX�GH�FRQVHUWDU�D�ELFLFOHWD�$V�YLDJHQV�GRV�FLFOLVWDV�VmR�WUDGX]LGDV�SHOR�JUiILFR�DR�ODGR�D� 3UHHQFKH�DV�WDEHODV�VHJXLQWHV�

&LFOLVWD 7HPSR��+RUDV� � � � �$ (VSDoR��NP� ��&LFOLVWD 7HPSR��+RUDV� � � � �% (VSDoR��NP� �� ��

E� 4XHP�FKHJRX�SULPHLUR"�-XVWLILFD�F� $OJXPD�GDV�WDEHODV�UHSUHVHQWD�XPD�SURSRUFLRQDOLGDGH�GLUHFWD"�6H�D�UHVSRVWD�IRU�DILUPDWLYD��GL]�TXDO�p�DFRQVWDQWH�GH�SURSRUFLRQDOLGDGH�H�TXDO�p�R�VHX�VLJQLILFDGR"G� 4XDQWR�WHPSR�HVWHYH�SDUDGR�R�FLFOLVWD�TXH�VRIUHX�R�DFLGHQWH"�-XVWLILFD�H� 'HWHUPLQD�R�WHPSR�TXH�R�FLFOLVWD�$ GHPRURX�D�SHUFRUUHU�RV�SULPHLURV����NP��� 8WLOL]D�HVWH�JUiILFR�SDUD�FRQYHUWHU�HVFXGRV�����HPOLEUDV�����H�OLEUDV�HP�HVFXGRV�

D� 4XDQWRV�HVFXGRV�UHFHEHV�SRU����"E� 8P�OLYUR��HP�,QJODWHUUD��FXVWRX������4XDQWR�FXVWRX�HPHVFXGRV"F� 4XDQWRV�HVFXGRV�FXVWDP�����"62/8d®(6D� E� F� G� H��� [� �� [� ���� [� ��� [� ���� �K���P�� ������ 2�3URIHVVRU

0 x

y

3HVR��NJI� �� �� �� �� �� ��$ORQJDPHQWR��PP� �� �� �� �� ��� ���

7HPSR��+RUDV�

(VSDoR��.

P�

�������

���

� � � � �

(VFXGRV����

/LEUDV����

���

����

� ���� ���� ���� ����