<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/82e1655e-d0e3-4395-830d-82436a8b3a7a/bg1.png"><div class="c x0 y1 w2 h2"><div class="t m0 x1 h3 y2 ff1 fs0 fc0 sc0 ls1 ws2"><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="blank _0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="blank _0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0"> </span><span class="fc3 sc0">L</span><span class="fc3 sc0">I</span><span class="fc3 sc0">S</span><span class="fc3 sc0">T</span><span class="fc3 sc0">A</span><span class="fc3 sc0"> </span><span class="fc3 sc0">D</span><span class="fc3 sc0">E</span><span class="fc3 sc0"> </span><span class="fc3 sc0">E</span><span class="fc3 sc0">XE</span><span class="blank _1"></span><span class="fc3 sc0">R</span><span class="fc3 sc0">C</span><span class="fc3 sc0">Í</span><span class="fc3 sc0">C</span><span class="fc3 sc0">IO</span><span class="fc3 sc0">S </span><span class="fc3 sc0">\u2013</span><span class="fc3 sc0"> </span><span class="fc3 sc0">G</span><span class="fc3 sc0">EO</span><span class="blank _1"></span><span class="fc3 sc0">M</span><span class="fc3 sc0">E</span><span class="fc3 sc0">T</span><span class="fc3 sc0">R</span><span class="blank _1"></span><span class="fc3 sc0">I</span><span class="fc3 sc0">A</span><span class="fc3 sc0"> </span><span class="fc3 sc0">A</span><span class="fc3 sc0">N</span><span class="fc3 sc0">A</span><span class="blank _1"></span><span class="fc3 sc0">L</span><span class="fc3 sc0">ÍTIC</span><span class="fc3 sc0">A</span><span class="blank _1"></span><span class="fc3 sc0"> </span></div><div class="t m0 x1 h4 y3 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h5 y4 ff1 fs1 fc1 sc0 ls1 ws2">EQUAÇ<span class="blank _1"></span>ÃO DA<span class="blank _1"></span> RETA<span class="blank _1"></span> </div><div class="t m0 x1 h4 y5 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y6 ff2 fs1 fc1 sc0 ls1 ws2">1) Calc<span class="blank _1"></span>ule a di<span class="blank _1"></span>stância<span class="blank _1"></span> entre os segui<span class="blank _1"></span>ntes pares<span class="blank _1"></span> de pontos: </div><div class="t m0 x1 h4 y7 ff2 fs1 fc1 sc0 ls1 ws2"> a) (2,3) e (2,5) b) (2,1) e (-2,4) c<span class="blank _0"> </span>) (0,6) e (1,5) d) (6,3) e (2,7) </div><div class="t m0 x1 h4 y8 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y9 ff2 fs1 fc1 sc0 ls1 ws2">2) Calc<span class="blank _1"></span>ule o po<span class="blank _1"></span>nto médio d<span class="blank _1"></span>o segmento A<span class="blank _1"></span>B nos seg<span class="blank _1"></span>uintes ca<span class="blank _1"></span>sos: </div><div class="t m0 x1 h4 ya ff2 fs1 fc1 sc0 ls1 ws2"> a) A(2,6) B(4,10) c) A(3,1) B(4<span class="blank _1"></span>,3) </div><div class="t m0 x1 h4 yb ff2 fs1 fc1 sc0 ls1 ws2"> b) A(2,6) B(4,2) d) A(2,3) B(4,-2) </div><div class="t m0 x1 h4 yc ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 yd ff2 fs1 fc1 sc0 ls1 ws2">3) Determin<span class="blank _1"></span>e as coo<span class="blank _1"></span>rdenadas<span class="blank _1"></span> do baricen<span class="blank _1"></span>tro do triângul<span class="blank _1"></span>o de vértice<span class="blank _1"></span>s: </div><div class="t m0 x1 h4 ye ff2 fs1 fc1 sc0 ls1 ws2"> a) A(3,1); B(2,6); C(4,2) b) <span class="blank _0"> </span>A(1,0); B(-2,4); C(3,-5) </div><div class="t m0 x1 h4 yf ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y10 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y11 ff2 fs1 fc1 sc0 ls1 ws2">4) Determin<span class="blank _1"></span>e a área do triâ<span class="blank _1"></span>ngul<span class="blank _1"></span>o ABC no<span class="blank _1"></span>s casos: </div><div class="t m0 x1 h4 y12 ff2 fs1 fc1 sc0 ls1 ws2"> a) A(1,-1) B(2,1) C(2,2<span class="blank _1"></span>) </div><div class="t m0 x1 h4 y13 ff2 fs1 fc1 sc0 ls1 ws2"> b) A(3,4) B(-2,3) C(1,1<span class="blank _1"></span>) </div><div class="t m0 x1 h4 y14 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y15 ff2 fs1 fc1 sc0 ls1 ws0">5)<span class="fc2 ls0 ws2"> </span><span class="ws2">Veri<span class="blank _1"></span>fique se os<span class="blank _1"></span> pontos A, B e C<span class="blank _1"></span> abaixo s<span class="blank _1"></span>ão coli<span class="blank _1"></span>neares (es<span class="blank _1"></span>tão alin<span class="blank _1"></span>hados) no<span class="blank _1"></span>s </span></div><div class="t m0 x1 h4 y16 ff2 fs1 fc1 sc0 ls1 ws2">segu<span class="blank _1"></span>intes caso<span class="blank _1"></span>s: </div><div class="t m0 x1 h4 y17 ff2 fs1 fc1 sc0 ls1 ws2"> a) A(0,3) B(4,0) C(5,0<span class="blank _1"></span>) </div><div class="t m0 x1 h4 y18 ff2 fs1 fc1 sc0 ls1 ws2"> b) A(2,2) B(5,5) C(-3,-3<span class="blank _1"></span>) </div><div class="t m0 x1 h4 y19 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y1a ff2 fs1 fc1 sc0 ls1 ws2">6) Determin<span class="blank _1"></span>e a equaçã<span class="blank _1"></span>o reduz<span class="blank _1"></span>ida da reta t que<span class="blank _1"></span> forma um ângulo<span class="blank _1"></span> de 135</div><div class="t m0 x2 h6 y1b ff2 fs2 fc1 sc0 ls1 ws1">o<span class="fs1 ws2 v1"> com o eixo </span></div><div class="t m0 x1 h4 y1c ff2 fs1 fc1 sc0 ls1 ws2">das abs<span class="blank _1"></span>cissas e q<span class="blank _1"></span>ue pass<span class="blank _1"></span>a pelo po<span class="blank _1"></span>nto P(4, 5). </div><div class="t m0 x1 h4 y1d ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y1e ff2 fs1 fc1 sc0 ls1 ws2">7) Determin<span class="blank _1"></span>e a equaçã<span class="blank _1"></span>o reduz<span class="blank _1"></span>ida da reta s qu<span class="blank _1"></span>e passa p<span class="blank _1"></span>elos po<span class="blank _1"></span>ntos A(1, 0) e B(3, 4). </div><div class="t m0 x1 h4 y1f ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y20 ff2 fs1 fc1 sc0 ls1 ws2">8) Determin<span class="blank _1"></span>e a equaçã<span class="blank _1"></span>o da reta qu<span class="blank _1"></span>e passa pe<span class="blank _1"></span>lo pon<span class="blank _1"></span>to P (-1, -2) e forma com os eixo<span class="blank _1"></span>s </div><div class="t m0 x1 h4 y21 ff2 fs1 fc1 sc0 ls1 ws2">coorden<span class="blank _1"></span>ados um triân<span class="blank _1"></span>gulo<span class="blank _1"></span> de área 4 u.a. </div><div class="t m0 x1 h4 y22 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y23 ff2 fs1 fc1 sc0 ls1 ws2"> 9) Determine<span class="blank _1"></span> a equaçã<span class="blank _1"></span>o da reta com coe<span class="blank _1"></span>ficiente<span class="blank _1"></span> angula<span class="blank _1"></span>r igual<span class="blank _1"></span> a - 4/5, e que passa<span class="blank _1"></span> </div><div class="t m0 x1 h4 y24 ff2 fs1 fc1 sc0 ls1 ws2">pelo<span class="blank _1"></span> ponto p (2, -5). </div><div class="t m0 x1 h4 y25 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y26 ff2 fs1 fc1 sc0 ls1 ws2"> 10) Encontre<span class="blank _1"></span> a equaçã<span class="blank _1"></span>o da reta s, perpen<span class="blank _1"></span>dicula<span class="blank _1"></span>r à reta t: 2x + 3y \u2013 4 =0, saben<span class="blank _1"></span>do que </div><div class="t m0 x1 h4 y27 ff2 fs1 fc1 sc0 ls1 ws2">ela p<span class="blank _1"></span>assa pelo<span class="blank _1"></span> ponto P(3,4<span class="blank _1"></span>). </div><div class="t m0 x1 h4 y28 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y29 ff2 fs1 fc1 sc0 ls1 ws2">11) Dete<span class="blank _1"></span>rmine a equa<span class="blank _1"></span>ção gera<span class="blank _1"></span>l da reta tange<span class="blank _1"></span>nte à curva y = x² + x no pon<span class="blank _1"></span>to de </div><div class="t m0 x1 h4 y2a ff2 fs1 fc1 sc0 ls1 ws2">abscis<span class="blank _1"></span>sa 1. </div><div class="t m0 x1 h4 y2b ff2 fs1 fc1 sc0 ls1 ws2">12) As retas 2x<span class="blank _1"></span> \u2013 y = 3 e 2x + ay = 5 são pe<span class="blank _1"></span>rpendicu<span class="blank _1"></span>lares. En<span class="blank _1"></span>tão: </div><div class="t m0 x1 h4 y2c ff2 fs1 fc1 sc0 ls1 ws2">a) a = -1 </div><div class="t m0 x1 h4 y2d ff2 fs1 fc1 sc0 ls1 ws2">b) a = 1 </div><div class="t m0 x1 h4 y2e ff2 fs1 fc1 sc0 ls1 ws2">c) a = -4 </div><div class="t m0 x1 h4 y2f ff2 fs1 fc1 sc0 ls1 ws2">d) a = 4 </div><div class="t m0 x1 h4 y30 ff2 fs1 fc1 sc0 ls1 ws2">e) n.d.a. </div><div class="t m0 x1 h4 y31 ff2 fs1 fc1 sc0 ls1 ws2">13) Dete<span class="blank _1"></span>rminar a reta perpe<span class="blank _1"></span>ndicul<span class="blank _1"></span>ar a 2x \u2013 5y = 3 pe<span class="blank _1"></span>lo ponto P<span class="blank _1"></span>(-2; 3) </div><div class="t m0 x1 h4 y32 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x3 h7 y33 ff3 fs1 fc0 sc0 ls1 ws2"> </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/82e1655e-d0e3-4395-830d-82436a8b3a7a/bg2.png"><div class="c x0 y1 w2 h2"><div class="t m0 x1 h4 y34 ff2 fs1 fc1 sc0 ls1 ws2">14) A equa<span class="blank _1"></span>ção da reta qu<span class="blank _1"></span>e passa<span class="blank _1"></span> pelo ponto<span class="blank _1"></span> (3; 4) e é paralel<span class="blank _1"></span>a à biss<span class="blank _1"></span>etriz do 2° </div><div class="t m0 x1 h4 y35 ff2 fs1 fc1 sc0 ls1 ws2">quadran<span class="blank _1"></span>te é: </div><div class="t m0 x1 h4 y36 ff2 fs1 fc1 sc0 ls1 ws2">a) y = z \u2013 1 </div><div class="t m0 x1 h4 y37 ff2 fs1 fc1 sc0 ls1 ws2">b) x + y \u2013 7 = 0 </div><div class="t m0 x1 h4 y38 ff2 fs1 fc1 sc0 ls1 ws2">c) y = x + 7 </div><div class="t m0 x1 h4 y39 ff2 fs1 fc1 sc0 ls1 ws2">d) 3x + 6y = 3 </div><div class="t m0 x1 h4 y3a ff2 fs1 fc1 sc0 ls1 ws2">e) n.d.a. </div><div class="t m0 x1 h4 y3b ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y3c ff2 fs1 fc1 sc0 ls1 ws2">15) Dete<span class="blank _1"></span>rminar o ponto B<span class="blank _1"></span> simétrico<span class="blank _1"></span> de A(-4; 3) em relaç<span class="blank _1"></span>ão à reta x + y + 3 = 0. </div><div class="t m0 x1 h4 y3d ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y3e ff2 fs1 fc1 sc0 ls1 ws2">16) Dete<span class="blank _1"></span>rminar a reta perpe<span class="blank _1"></span>ndicul<span class="blank _1"></span>ar à reta de equ<span class="blank _1"></span>ação x + 2y \u2013 3 = 0 n<span class="blank _1"></span>o seu pon<span class="blank _1"></span>to de </div><div class="t m0 x1 h4 y3f ff2 fs1 fc1 sc0 ls1 ws2">abscis<span class="blank _1"></span>sa igua<span class="blank _1"></span>l a 5. </div><div class="t m0 x1 h4 y40 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y41 ff2 fs1 fc1 sc0 ls1 ws2">17) Dete<span class="blank _1"></span>rminar a equa<span class="blank _1"></span>ção da med<span class="blank _1"></span>iatriz do<span class="blank _1"></span> segmento de e<span class="blank _1"></span>xtremos A(-3; 1) e B(5; 7). </div><div class="t m0 x1 h4 y42 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y43 ff2 fs1 fc1 sc0 ls1 ws2">18) As retas (r) 2x<span class="blank _1"></span> + 7y = 3 e (s) 3x \u2013 2y = -8 se cortam num p<span class="blank _1"></span>onto P. Achar a<span class="blank _1"></span> equação<span class="blank _1"></span> </div><div class="t m0 x1 h4 y44 ff2 fs1 fc1 sc0 ls1 ws2">da reta perp<span class="blank _1"></span>endicu<span class="blank _1"></span>lar a r pelo<span class="blank _1"></span> ponto P. </div><div class="t m0 x1 h4 y45 ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y46 ff2 fs1 fc1 sc0 ls1 ws2">19) As retas 3x<span class="blank _1"></span> + 2y \u2013 1 = 0 e -4x + 6y \u2013 10<span class="blank _1"></span> = 0 são: </div><div class="t m0 x1 h4 y47 ff2 fs1 fc1 sc0 ls1 ws2">a) parale<span class="blank _1"></span>las </div><div class="t m0 x1 h4 y48 ff2 fs1 fc1 sc0 ls1 ws2">b) coinc<span class="blank _1"></span>identes<span class="blank _1"></span> </div><div class="t m0 x1 h4 y49 ff2 fs1 fc1 sc0 ls1 ws2">c) perpend<span class="blank _1"></span>icula<span class="blank _1"></span>res </div><div class="t m0 x1 h4 y4a ff2 fs1 fc1 sc0 ls1 ws2">d) conco<span class="blank _1"></span>rrentes e não p<span class="blank _1"></span>erpendi<span class="blank _1"></span>culares </div><div class="t m0 x1 h4 y4b ff2 fs1 fc1 sc0 ls1 ws2">e) n.d.a. </div><div class="t m0 x1 h4 y4c ff2 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y4d ff2 fs1 fc1 sc0 ls1 ws2">20) A equa<span class="blank _1"></span>ção da reta pa<span class="blank _1"></span>ssando<span class="blank _1"></span> pela ori<span class="blank _1"></span>gem e paral<span class="blank _1"></span>ela à reta de<span class="blank _1"></span>terminad<span class="blank _1"></span>a pelos </div><div class="t m0 x1 h4 y4e ff2 fs1 fc1 sc0 ls1 ws2">pontos A<span class="blank _1"></span>(2; 3) e B(1; -4) é: </div><div class="t m0 x1 h4 y4f ff2 fs1 fc1 sc0 ls1 ws2">a) y = x </div><div class="t m0 x1 h4 y50 ff2 fs1 fc1 sc0 ls1 ws2">b) y = 3x \u2013 4 </div><div class="t m0 x1 h4 y51 ff2 fs1 fc1 sc0 ls1 ws2">c) x = 7y </div><div class="t m0 x1 h4 y52 ff2 fs1 fc1 sc0 ls1 ws2">d) y = 7x </div><div class="t m0 x1 h4 y53 ff2 fs1 fc1 sc0 ls1 ws2">e) nda </div><div class="t m0 x1 h4 y54 ff2 fs1 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h4 y55 ff2 fs1 fc0 sc0 ls1 ws2">21) Dete<span class="blank _1"></span>rmine o val<span class="blank _1"></span>or de \u201cm\u201d para que as re<span class="blank _1"></span>tas 2x + 3y - 1 = 0 e mx + 6y \u2013 3 = 0 seja<span class="blank _1"></span>m </div><div class="t m0 x1 h4 y56 ff2 fs1 fc0 sc0 ls1 ws2">paralel<span class="blank _1"></span>as. </div><div class="t m0 x1 h4 y57 ff2 fs1 fc0 sc0 ls1 ws2">a) 1 b) 2 <span class="blank _0"> </span> c)- 4 d)- 6 <span class="blank _0"> </span> e) 4<span class="blank _0"> </span><span class="fc1"> </span></div><div class="t m0 x1 h3 y58 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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