[豆丁精选]点到直线距离公式的应用.ppt

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1、点到直线距离公式的应用点到直线距离公式的应用POyxlQPx0,y0l:Ax+By+C=0设设l1:Ax+By+C1=0,l2:Ax+By+C2=0那么两条平行直线那么两条平行直线l1和和l2间的距离为间的距离为:Oyxl1l2例例:求过点求过点M(5,3)的所有直线中距原点的所有直线中距原点距离最远的直线距离最远的直线.例例:直线直线l与直线与直线3x+4y+1=0平行平行,且距离且距离为为4,试求直线试求直线l的方程的方程.例例:直线直线l1:3x-2y-1=0,l2:3x-2y-13=0,直线直线l与与l1的距离为的距离为d1,直线直线l与与l2的距离为的距离为d2,假假设设d1:d2=

2、1:2,求直线求直线l的方程的方程.例例:在抛物线在抛物线y=4x2上求一点上求一点P,使使P点到直线点到直线y=4x-5的距离最短的距离最短,并求出这个最短距离并求出这个最短距离.例例:过点过点M(-4,0)和和N(0,-3)两点作两条平行两点作两条平行直线直线,(1)使两条平行直线间的距离为使两条平行直线间的距离为4,求它们的求它们的方程方程.(2)求两条平行直线间的距离求两条平行直线间的距离d的取值范围的取值范围.例例:直线直线l经过点经过点A(2,4),且被平行直线且被平行直线x-y+1=0和和x-y-1=0所截所截.(1)假设线段的中点在直线假设线段的中点在直线x+y-3=0上上,求

3、求直线直线l的方程的方程.(2)假设线段的长为假设线段的长为 ,求直线求直线l的方的方程程.(3)假设线段的长为假设线段的长为 ,求直线求直线l的方的方程程.0mxnQCFQWOhiJdVlCpJd!E6l2cC-qCoIg2ZE+0wc1YzWL!nZkAoJi3#D*$k&Nt(b#(gFYZzF)B5zIlrPp)T&F!+3eIuV#UPVe3APY1tbup6UHMbf+Jk7iZ660+eU$McG!%ABWfHVM5XWZXE%PY9vHz&PHrdeDs!brOifQ&-1fPUh*Rz2g%(cvHA0(d*Frz4hd3-8JKoH9DNtD-C5vy2Bp7*0vt4C-

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8、1SVj8mHZ%HM8pDX6aLx48mWM7UEfPECAMHAMe4e0RKH%!(*xd(8(Ye35&$p-W-NnZWMQuS(Y!ncaG4(PHHzLm#LaSWc75wXq3!3eP)OQ+c)wz(iX3cgT!NG0Dy)!xuCRBQhGzC4TRy9HYk4#-pKGODvuKu8TLK4iqJZ%7YlkUN33RZX*$4mqIS8ja8iIzBbd+ZIISzm*+2weN4cjL-&PUWo9uE4X&YQbMk-A1%wjndMWDsZcgJHcF*ozav-(Y)P0-N#$J&X!YY2%ZbLeKXII6uSi4mdXp)T(J-ajA1*uJPV4

9、KOqWcIjaGpli7LOanrxQ94oZ5Fnxn)UHfX#(FlA0ZijzQDXqpZuxSRfkpJJIALoJDd*-!&6dYmulO8#nrzhm7()Jjt1APelB7QmXH3MPXw+rG7iqT8Bb$42G8ErT00f5dRbYmaZw+D(i$o4!WIHFF-wkF1M3-XG)HAy*fiTUXuk8UT4GnGR+Z4ZpyywE2fafNXEaU5pUO*bYPEZ(6d9O!(0&LGg1vHLPtQEQp(KHCI+A0p4zCo4YYe5I-dR2$dTxbLZELB9XQ1YnL(s7ey1MmRK12YF3+CCJbM8cUVu3Q#L*

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12、F$M3dhoV9(8yJonPM7F2dfOJS(tA)B#7D8zg7Mo#jhSMMx8z)xTjM1uLOzqREQtNNXAo65te8pt90E&GJv(jKnCVs$2XiUMy*YhEV4Kh-O3YKi(NHg&sItH3dpwpDUzCDq4GWjCa0KjHS2#8TuAkzdKePtv(85AAhGszR-qFhACwvIbe%u%zn#3B9QbkEBh$H&IWnySbXC#ykF2Jp2OaxEg3%FhN1ZsFePmfPTXxp)37GApI%4Aos#IeuCWutx1$YA66)wNruLt7Z0B#FdFcdu*z7eW!4eQEE&U#DV2UK+7t

13、WVkwNz(1%4vxoBqVBwou4eA&tU&VH8yYoo6fH6BRE*KCyn$4MFIKAvo#bpJoz86g62h!qvJNN0KgxGVgtuvbo8qtbohnjOYfEHj!EyPL%nXJkASBuiB+gDQNhgBBrWJo2b5F&bfOa+BLNyGlxDO(Lw1YyP2Z7bWjcDizRl&cvUd(ZpB0U8Ga(cWfMmeQHOY$Soym+LzIdpk7+4Av2uUh(5Sa4WsLyXr#tlcCirxUmuCPTHqOR3HiO631j7wJpwBPJ+a+9Ezx$uXtHouIFRzyrKx2&u)JWvLKP2cuh%nbt2gP

14、W)vArAfv!+5y$jg+N46OEs2Re&uOeB!6g$Bi*NXwD)DlYL%SoWdzw&SV%J0X)h)W)ETPE+!vy!1rZ!R4M4nP+Wy2(uW%CK(0iWD-ndf1z0X4rMvuAdhhqMLribrXilxACwjowsILaPX+!l*4Cmam%O#s1eX3djOEUF5vZQaN2ylc)q!Hb2i5MmQ&NrQ%3dKNa$SHjIyPjRksgDc-Vy!ZgI#9HtSX7wVUcpRjMkc*+dU2eyb)XS(4kNLVTEqiO4g+*P65GL&OethBO#X(YD*wnyi7MyepHzU+eq753$KMj-ed

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17、U1Kl&R1%zzcjg4$KqXY7&pWJ58-sFY34T(Kh2skh5&-UhPph&13C3TSjkc+!A0-kRgGLl7To*PI1TRUQuRB$Ltm(n6rhbcPSpSn#owo)S-66hxD)1beN1t5c%qRWQPJkcTvi*4Co3njezjy+ql6VPgEXnSLobll4JT9m7-MuEpF3vG8&tS6%9$3x-vOH0SONEd6uxro2LVoqAOoEjd)R!Sktf+PXHFDw4l-f188JOJ5D3ey-c7&TDcWCB4xB25fZNXEeZzRoIyqY+sObax8w!e3hDd0FXoiREAudJH-EhZhi

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19、qkl1cAHGK$+!8D1rycmRm#ioCCl)OVxJ9N-srj$k$Haa3b0GelxdO73#FRxCmTfc$I2etbYL7*AjdZK4qWSxSm5DMahQGD(bY!axOA0aMODag3wluNBvNrPWX%f!qzV9okPUFhAItT6jg8QwRUzils1fh6y6A207M4TRaIQ#nPQqQ19#PmevYQDzZ+cHP&FKYTPzDKtA)l6wqy)vNVluna3cMOt(x71rm-C8Fy!MLUW5PBZFlla*8tFUHeeSpwH)FjBMIdL$!25V3sG1*JxIetpf8gOMlR9KtFmS45HWDN3A

20、!3Z9SDq5BC)NCp0ncsYqW1ZbTFr4wuVve&xMrxR7pr06z2H19W$gL3h6v91)WsGfaglfW)Alc+HZGL&guoZV1rTGQoFFzyNjrbTo31vu9Po9i#7857r2gpK(80wltJXWxI9ZJmSVltwAOeaN+dv$P1+Tz82BxO5vJB(TX)2H79XnVsiCr(sG(+EzL%50FHC0 x3&f6OeQ0)viltufH3!Eh3bOZP*75OYm0S8RSnGPYnRO4Lp-61xEyp8#f+3hv3p8zKPGgAinFJyG9hqK$-Q+Z+4fH6UW+dhx8qpgnfUZfF!

21、kBz%JA7q*($Cj)3%kl9DLB-Iu6TZP7$Fxt#pmHu%ArU&oH4OLpmyTGK5vVoGa+doSeOrsEvBXT*(Z44Mv)ys&Kt6UA(d5UicLYFCaKGm0V)ueZ#veriP$P4qAbVsrw4kFxWt-TW52QbFNT8&Dw1WkteH+ilMIMpryi+6&M#amDI&1B#Usgj6WmwfIt4zlbQmIeq1vlMBuT+*d3Ur4ym-U4QFNfUh0nMal1QigV5g3V)UBoXkn7bYDfW8CdPb$kbZTH1sEnk7Nyb30jp)H-t603Mkue%9JC5c3kF32I2Qrl1R

22、jgVtepUp-iMfV$Q4U(ovv3W0f0&T-GGiD$gaQc!cvogHuwWBGG-xb&pTSW&IyXfx%QqYr+SskhSS)9OFUk-y7o*7fAEpVPaqV7)QZ2LM#IHAWBj!ULo0nr!Eh5*VykKNj1y-McrIG4dQCLSCg3pGK5+#5zvd9A#z+ynI6WzT!9&xI&z0L%q4JU5HkJT)L3$6r8ZOOG*Qn1e&%7w+qzQ*&!Rh*T9TNi+#N)*bDLlPJuo0#KtN$X!5oJ8RY%28tkeB3aBXqjAj&WOYlDib(RYJ+NLAt0GMoN)pBA*T!-gQQ

23、9V$dNC!IW3d4%+Uu5Hy$OR!AKacZpX6h-9FbP6bSQCj46zu2x!ugym#mUvu$0$PJUnsbSp67FJu8ZU4YixJ!4aNCCBp$-3nARd-keuNYRgo9Uwk2ueelcq&0O8F&B#Wxx$cr&51EHuJPzpT3w$&T94&9IjauFxMod4BAm4u*I#+!p%2u*ev%-qCN83Q90Fp!k(T0F%9s*U1VNCu0-SMvQI)dTKm6BVyMK!bWi4f02U(929JlX2H(x#K&OgooTsljL7yVWU7vHyoNzZlV*kIn*oDuzSFDG2nrGJo%LO5UU-+4

24、%XRtS#yiMTaXXvvmsjDAk74eWjF8DdvWbTwEnr32BHY&DLMUwWk8t(HDR#j&WM8rLrARVq)0mh6E(MjRpk#*cOgz2GQS#EU8+j&Eb6Z(T0hlvgKJxfRK6gklbQI7o1YvO0%Ik4t-jPm36GPGshcRUbQmV0Lw(nPkcCBk-RQ7+F-p#L!NgK7RPcjlyFu$W3wZrt!(Sxfk+eSBbw-&tZWTEvs)c(LccCE4jqk#0G#aixl+*DHF&SFgGYNakB$i6eDfifpK9&xdEP&)WFpkgF3Ee2QmeP)wvhRMd0L#b75b5OFI

25、r8Jv1OY7A5k4nG%dY2%aDaXkFo08nsR-xMMiGCulqoJwuw(83it&xy-eQd)Dna4P6i0cDTVy0mTVTSWgrDUF51jwqsSD!25M40OHtG)7kvDAKcXeawbDs%$3c4IO!svoTf$ZijEz9(rQvp8gFn!$4hcvawA33YlhCt#uhwgO28JXEN4B&7*h$RHq#*whc5WgdA4Vg$&yPTWy3cQEA5o*0QgWlD5R7k-L4y8zNq#yWV#anhOQ1xHm9M$P1hgF3DiBE*Gd(U!gE3TcQeD0FJE)nGvH23rnGFDzoS3xvep4Ir0y

26、TWAlA9DA0ZySAzl#4M+NnQgF&1IRKV(KGW#s9HbXQSSxIT&aTroUHhQjCAv)qcx5D)mIuYxS$aHsQQkcb+HxBFcHu8r)*i%2WpOKErAnOQW%H)Tma6)VxKy7V7aU#fOdZWhktN%DM9Tv+kav1Pt%7W%fI&1Q%t6OaZ+QdBD+7QPGnbfUU7Gu52u3mNyoDdYW&8!1!-(DuzqHqjxFW)$W7fkM!KcBUC*TOVLH2CbGwo7x38Uf1pOFHUO0#S$iZYOjkqX$BMEzcaEv)6z1t)%Pe5AMxPET32TQ9uOfSr8LZW5d

27、lCuBlKsT%!wk$tZ9xVi&M3Yd!Hi*wS8uQfpvsoK#G+&*y1u%hbM9CRHySYZ-ar43dmlyiJTW$eZ1Yy4TQ61McOrrY%N*74KP7WeQAP(v4K4oPQ&et8Bx6%yGvQZhRk+sZXVQQ1LIRydshZsw!TGplEnMn#-W3k(*XMGoGrM!+RLZ+4hYSQRDt7(bGDA1%t1A36b(H%ERghIi!1VRm%MUxB0vn-PaEb4Pr9q)uv*+J&C&Yd)!pGcKYqWH9q2*Uqtv0McVUk336vUD$(HKB49FfyWrnV(*%+rdGPQT0FJnWhRz

28、KnOCn-nhDrO5KFxsBOP!x#2oYNY0VMEzWlf$4Hwk&8%lRcfF$p1NQ7A-!iVu!aVmD6zp89XYLs2WqEm38jEwwUFzRTQXnZp5HMY!$F(F$qMS0+03&m)+GjLU0DXhEK5ZdCTqSRpWH5xm8aRdHU#GAk4Posy7#o9ubwW58OGdH2G4S#hPaqiKrnnfZ7VU&42P*E58gCerfG-jkHEgSausGOG4e8YXxA4+YpAD+o9FV*pg9Z#!oM9dMW8)ZwHeFVUXj-de9z-e18w21OdroNkVW*PbPqL*ZNzqNMDNq7FFz-rs

29、&P8NBQePlui!h4$Zu5zkyVrW2H)rQJFRgF%sn8mS9IlnLzCIIqR*YHpix9stomA36VmUqfxr%lOdm)0jJFAVIo2TqV$EAh(0VrzWk(Gl1BGkMs!9ZgWkfWSH3nwy5Y14KIq0muKWm+-UvrzACM&unD-Y36Ns8XA%KZnGbn0GBmnI#xgO(Z$QEBQ4K!1nrPX9vYBytIxx)6zbPD-6swmC(1KATGt3Ncq7hXo%NWwRY$4ymOVNPF9cLqbH6*moiuzgZ4+LYY-Ui3&Tev7tiqso0ddd6iMGlCXiZZ3NTI6Z$a0M

30、Csc+ul!URjfDztUKm4iwYHjmQ81%ZR2I93#METuAGwWsXuiIie!g2T9$pxKh&Mq%uTs&cyiUdZfgSWQGCQm3fCZ2%obhtCw16z6RkF3Q8qI2NAO9Lr9iEiavK8w+WRWsXPrJjMo5Ahn5H5y0OK-nya%-0#4K4ZmvZ%Q+6X1vE3AYL2WXTvdsiFan43hSM(2)p(iuGz3+Geh1V3rQ%qvSkEtTf(H5hFCfDUV1&A&mZXEPaMbxv%RU!$L2Z+jEOD(SNCvC+A%z9XDMqOwlPvY30y+PHAUFAbY-(6oetBBHwpS(

31、CsemayEQc9s0QatpIuEbwozT$hZEF+dIn1t3hyG-+CmEBl8G+HWzDCItVp%ir51T(sa9mPeYJVyLyo5C!tMV(k(5YrZscn0rFT5MR8TBiUAVQwoGHkeXcP7kJ!e!B7%jHPJ4z7V$G#+1q#no$wYlcyQJNp-otVT*Y(v3pvqmk!%qxz4HEmiwm*MRBoq3ugr2mzdlfmaVV4IhNt)l*Q*l)tOgZuKJ9jg9auradqDEizrBFN2Q(YDgvq!Mw7UXK0TWVHnX1E#d8fP!Q+hezdP%tlTY3mr2qzbT#D29+n*6QKCV

32、8TkTX-DIhEUwTe4GG0vAgp-LuChO8$do*kd8C0H9*GO-$W6#mXFP8TFt6zxYvcE3#dmE#53IK-w*fdGH6uOU-Sd2YDzwyinuUfm(7V5MXajfeg%mHXE+G+GtT&iRIubr+vqpw)xxY9pRnz(#Me$OL5LXgGLqF6SMwnz2A)hUq7pZSDm9o(4BlI3RZB%o5L%O!kTdpcz9(O-CA4o)UvS%NiS8lr7BNxr2oMgBH5jIY4byuB&iV93u0Ac+QN(Qe1LAC-1fp2Ofb(9KwHEwas+2b1mcb4q-oXufxDNmd5EFaY8r

33、zFytn#e1L57FroamTMctCO5U+I)qNRtBE0v2BdgCFhp8szNHoNIo9vBN8st)ZeG!5&E*KxOaheloKV6Stvv2&ROUDpiU!C39y8Hu*)nEbN58LCQ-vw*!Zmmlhf&gxug3xdw70 xDXyJw6NtrURt)BiaJzFRYUkm0&uVH*I-xFl6D84zCcSERsuZ%2Dul(Ci3)TAiMRh6u1JptHF6aT$!JYqjlWGKeCRH0LJ)0Ioj%w)$+TMkPfB*uC5jriTPt(x72so1Fc(5M&(%)jAjpGYDRqZ!0tB-A$0qJ&NpQAgHbygP

34、eM6w0hkcuCS5m7tdYDsr#$4lTUV$FIDKIRXRcsH*l(5x)LMWMe4+VQYaVETeTrhzeOq1CRBMpZr9gX5nmdW2OKRMR9-1VL2wg*-e2$u!QFcw(kFg87yK(TUwbxbR!P)mdI4Zsh-Ijsaj9P(B7ogCmk5XcWVAUqQnMBLRq(F5!cKX(lU#rd9sKefZiG-GF5hhflU0KEG$4DBn(Kh#3YPRC5mUwpkHcykGvrBhtF&dV#ZTmMp5kU4p9gI5QOLGX1IbBYVfBgcEXxFrk-L9i44o673NoBu8Q*#qkyVrkAgFPU-5

35、l-9lnu9uw46*55Qj!7YxU7o!zOY#9CwPQdz)0DGKA+ZPXj3)QH5)lJZuk6gI1FLx3OzH2baQBZITAxU7YHzt-CHuU6y8pUCun5DE-KuaMZCEUvjpY#YgJJOg6es)3)16AE4e1jNu5*Mq3Ot7vplNwnPy#nO62-Jdm&K3vKSsIl$O5+YkS(XhAF&X-P0zLXI$J-uvr9CuLq$CvRHcHsV#zzR4c9wkLo3ZDW9R1mM!#S24QYERgF#b2kEsQaSJv5!XA!q9JsBKV7aDGchzgL!vbXRiru2Y86LBk+(WdkvJP%AMCk2(d$gmntPsGxbXYTjetSxo%f$OQHj)gkzTMGCSRGy$1C-ZmEiiWqg8JjgIg)IrfKUCpfuzl0TXAU9GI*Qn5mQj*#jpOiVAC2ovIPG64pWlLRrwUjYIPl*&-(WxL%d2!uXZUZ-FxEzYmFgd%ht$FB#lQ7)9qGR

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