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202011(2,0)F2(2,0)FP12||||2PFPFPEE1322yx1212||||24||PFPFFFPE12,FF2,22ca222213bE01322xyx.12P212122FFaaPFPFP12||||2PFPFP2Cx2a2y2b21A(2,0)B(0,1)(1)C(2)PCPAyMPBxNABNM(1)x24y21e32(2)2.(1)a2b1Cx24y21.ca2b23eca32.(2)P(x0y0)(x00y00)x204y204.A(2,0)B(0,1)PAyy0x02(x2).x0yM2y0x02|BM|1yM12y0x02.PByy01x0x1.y0xNx0y01|AN|2xN2x0y01.ABNMS12|AN||BM|122x0y0112y0x02x204y204x0y04x08y042x0y0x02y022x0y02x04y04x0y0x02y022.ABNM.(1)P(x0y0)PAPBPAPB|BM||AN|(2)S12|AN||BM|(3)ABNMx0y0(1)a2b1c3(2)ANBMABNM12|AN||BM|P(x0y0)PAPBMN|AN||BM|12|AN||BM|P3Cx2a2y2b21(ab0)P1(1,1)P2(01)P3231P423,1C(1)C(2)lP2CABP2AP2B1l(1)x24y21(2)(21)(1)P3231P423,1P3P4yCP3P41a21b21a234b2CP1P2C.1b211a234b21a24b21.Cx24y21.(2)P2AP2Bk1k2.lxlxtt|t|2AB242tt242tt.k1k24t222t4t222t1t2lykxm(m1)ykxmx24y21(4k21)x28kmx4m240.16(4k2m21)0.A(x1y1)B(x2y2)x1x28km4k21x1x24m244k21.k1k2y11x1y21x2kx1m1x1kx2m1x212121221kxxmxxxx.k1k21(2k1)x1x2(m1)(x1x2)0.(2k1)4m244k21(m1)8km4k210.km12.m10lym12xmy1m12(x2)l(21).(1)P3P4;(2)P1P2;(3)lC;(4)k1k21km(1)P1(1,1)(2)lykxmkml4Cx2a2y21(a0)F1F2F1F2C(1)C(2)F1lABABxPP140AB(1)x22y21(2)32222(1)F1F2Cbc1a2Cx22y21(2)AB0AByk(x1)x22y21y(12k2)x24k2x2k220A(x1y1)B(x2y2)ABM(x0y0)x1x24k212k2x1x22k2212k2y1y2k(x11)k(x21)k(x1x22)2k12k2M2k212k2k12k2.AByk12k21kx2k212k2y0xPk212k2xP14014k212k200k21222121214ABkxxxx222222422142121kkkkk2212221kk21112k2.1212k211|AB|322221235.Ex2a2y2b21(ab0)22P(01)CDPCPD1.(1)E(2)OPABOAOBPAPB(1)x24y221(2)3(1)CD(0b)(0b)P(0,1)PCPD11b21ca22a2b2c2.a2b2.Ex24y221.(2)ABABykx1AB(x1y1)(x2y2)x24y221ykx1(2k21)x24kx20.(4k)28(2k21)0x1x24k2k21x1x222k21.OAOBPAPBx1x2y1y2[x1x2(y11)(y21)](1)(1k2)x1x2k(x1x2)122242121kk12k212.112k2123.OAOBPAPB3ABABCD.OAOBPAPBOCODPCPD2.1OAOBPAPB31OAOBPAPB3.6Cx2a2y2b21(ab0)F2(2,0)P1153C(1)C(2)1lCMN|F1M||F1N|(F1)l(1)x26y221(2)l(1)CF2(2,0)c2CF1(2,0)2a2222151512123396924926a6b2a2c2642.Cx26y221.CF2(2,0)c2a2b24P1153C1a2159b211b24159b213b44b2200b22a26.Cx26y221.(2)llyxtx26y221yxtx23(xt)2604x26tx(3t26)0(6t)244(3t26)9612t2022t22.M(x1y1)N(x2y2)x1x23t2x1x23t264|F1M||F1N|MNEF1EMNkF1E1kMN1F1(2,0)Ex1x22y1y22E3t4t4kF1Et43t421t4.t422t22l.1.A(1,0)BFx22xy2110(F)ABBFPP()A.x212y2111B.x236y2351C.x23y221D.x23y221D|PA||PB||PA||PF||PB||PF|r23|AF|2PAFa3c1b2Px23y221D.2.A(01)By2x21ABM_______________y4x2M(xy)B(x0y0)y02x201.MABx0x02yy012x02xy02y1y02x2012y12(2x)21y4x2.3.Cx2y24CMxmmyNOQOMONQx24y2161(y0)Q(xy)M(x0y0)(y00)N(0y0)OQOMON(xy)(x0y0)(0y0)(x0,2y0)x0xy0y2.MCx20y204x2y244(y0)Qx24y2161(y0)1.Cx2a2y2b21(ab0)22(22)C(1)C(2)lOlCABABMOMl(1)x28y241(2)(1)a2b2a224a22b21a28b24.Cx28y241(2)lykxb(kb0)A(x1y1)B(x2y2)M(xMyM)ykxbx28y241(2k21)x24kbx2b280xMx1x222kb2k21yMkxMbb2k21OMkOMyMxM12kkOMk12.OMl2.M(0,1)y1(1)M(2)lP(02)MABCByAC.(1)x24y(2)(1)M(0,1)My1M(0,1)y1p21p2.Mx24y(2)llykx2A(x1y1)B(x2y2)C(x2y2)x24yykx2x24kx80x1x24kx1x28.kACy1y2x1x2x214x224x1x2x1x24ACyy1x1x24(xx1)yy1x1x24(xx1)x1x24x1124xxxx214x1x24xx1x24x1x28yx1x24xx1x24x1x24x2AC(0,2)3.Cx2a2y2b21(ab0)P132xlykxmCAB()(1)C(2)OAOB3OAOB(1)x24y231(2)34(1)1a294b21a2b21a24b23Cx24y231(2)A(x1y1)B(x2y2)x24y231ykxm(4k23)x28kmx4m2120(8km)216(4k23)(m23)0m24k23x1x28km4k23x1x24m2124k23SOAB12|m||x1x2|12|m|434k23m24k2334k232m2004k2m2m23(*)kOAkOBy1y2x1x2kx1mkx2mx1x2k2x1x2kmx1x2m2x1x212k23m24m212344k2m2m23(*)4k2m2m231kOAkOB34OAOB341.MB1(01)B2(0,1)12.(1)ME(2)lyxm(m0)EABABxPmPAB.(1)x22y21(x0)(2)23(1)M(xy)1y1xy1x12MEx22y21(x0)(2)A(x1y1)B(x2y2)x22y21xyxm3x24mx2m220(x0)x1x24m3x1x22m223(4m)212(2m22)03m3m1,0,1.ABC(xCyC)xCx1x222m3yCxCmm3C2m3m3ABym3x2m3y0Pm30PABd2m32|AB|2x1x224x1x223248m2SPAB122m3223248m2229m23m2229m23m2223m232m62(33)PAB232.x2a2y2b21(ab0)12E(70).(1)(2)(t,0)lABFAFB(F)t.(1)x24y231(2)76247624(1)eca12a2cb2a2c23c2.xMxNkME1MEyx7yx7x24c2y23c21y7x287x2812c20(87)247(2812c2)0c1a2b3x24y231.(2)lxmytA(x1y1)B(x2y2)mytxx24y231x(3m24)y26mty3t2120y1y26mt3m24y1y23t2123m24.FA(x11y1)FB(x21y2)FAFB(x11)(x21)y1y2x1x2(x1x2)1y1y2(m21)y1y2(mtm)(y1y2)t22t10(m21)(3t212)(mtm)(6mt)(t22t1)(3m24)07t28t89m2.7t28t89m27t28t8t4627t4627.t76247624.3.x2a2y2b21(ab0)FPQFPQ|PF|max|QF|mina24.(1)(2)PQPQMxyDEDOEDFMSS(1)2(2)91(1)F(c,0)|PF|maxac|QF|minaca2c2a24.b2c2a2a24b22a2b2.(2)(1)a2bx24b2y2b21.PQ0PQyk(xc)P(x1y1)Q(x2y2)ykxcx24b2y2b21y(4k21)x28k2cx4k2c24b20x1x28k2c4k21y1y2k(x1x22c)2kc4k21M4k2c4k21kc4k21.MDPQD(x3,0)kc4k21x34k2c4k21k1x33k2c4k21D3k2c4k210.DMFDOEDOEDFMSSDM2OD24k2c4k213k2c4k212kc4k2123k2c4k2121911k219DOEDFMSS91.1.Cx2a2y2b21(ab0)P132e12lx4.(1)C(2)ABF(P)ABlMPAPBPMk1k2k3.k1k23(1)x24y231(2)2(1)P1321a294b21.a2cb23c2.c21a24b23.Cx24y231.(2)ABkAByk(x1)(4k23)x28k2x4(k23)0.A(x1y1)B(x2y2)x1x28k24k23x1x24k234k23.x4M(4,3k)k1y132x11k2y232x21k33k3241k12.AFBkkAFkBFy1x11y2x21k.k1k2y132x11y232x21y1x11y2x21321x111x212k32x1x22x1x2x1x21.k1k22k328k24k2324k234k238k24k232k1k3k12k1k22k3.22.CxAF1(2,0)B(22)Cykx(k0)CEFAEAFyMN.(1)C(2)xPkMPNP(1)x28y241(2)P(2,0)P(2,0)(1)Cx2a2y2b21(ab0)F1(2,0)a2b24.F2(2,0)B(22)C|BF1||BF2|2a2a32242.a22b2.Cx28y241.(2)CAA(220)ykx(k0)x28y241EFE(x0y0)(x00)F(x0y0)ykxx28y241yx2812k2.x02212k2y022k12k2AEyk112k2(x22)AEyMx0y22k112k2M022k112k2.N022k112k2.xP(t,0)MPNMPNP0.t222k112k222k112k20t240.t2t2.P(2,0)P(2,0)kMPN3.OCA(2,3)F(20)(1)C(2)OAllCOAl4l(1)x216y212