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1/81()Algx214lgx(x0)Bsinx1sinx2(xkkZ)Cx212|x|(xRD.1x211(xR)x0x2142x12xlgx214lgx(x0)AxkkZsinxBCx01x211D1x0y0xy18xyx0y0xy2xyxyxy2281xy9(xy)max81.2.f(x)x1x2(x2)xaax2x20f(x)(x2)1x222x21x224x21x2(x2)x3f(x)x3a3.3.f(x)x24|x|f(x)x24|x||x|4|x|244x.4ab1ba14abab1ba14ab5ba4ab52ba4ab9b2a05ab1a2bababa0b01a2b22ab22ab1a2bb2a2/81a2babab22abab22ab22.6a0b0ab1a1b1a2ba0b0ab1a1bababab11a2b21a2b22.1a2ba22b270x1x(43x)x________.x(43x)13(3x)(43x)133x43x22433x43x.8x54f(x)4x214x5________x5454x0f(x)4x214x554x154x3254x154x3231.54x154xx1f(x)4x214x51.9x0yx22x132yx22x132x121x1222x121x1220x121x12x120.10yx22x1(x1)________.x1x10yx22x1x22x12x23x1x122x13x1(x1)3x12232.x13x1x31.11xyxy1x1y5xyxy1x1yxyxyxyxyxyxy22xy4xyxy4xy5.3/8xyt.t25t401t4.1.abab14a1babab14a1b4a1b(ab)414baab524baab94baaba23b134a1b9.2a0b0a2b32a1b________a2b313a23b12a1b13a23b2a1b43a3b4b3a432a3b4b3a83.a2b323.a0b0lgalgblg(ab)ablgalgblg(ab)lg(ab)lg(ab)abab1a1b1ab1a1b(ab)2baab22baab4ab2ab4.4.xy3xy5xy4x3y3xy5xy3xyxy3y1x54x3y(4x3y)153y1x15493yx12xy15(49236)53yx12xyy2x4x3y5.5.x0y0xlg2lg2ylg21x9yxlg2lg2ylg22lg2(xy)lg2xy1.1x9y(xy)1x9y102yx9xy10616x14y34.6mnmn0mn11m1n________:mn0mn1m0n01m1n(mn)1m1n2nmmn4/822nmmn4mn121m1n4.7.yloga(x3)1(a0a1)AAmxny10mn01m1nx31x2A(21)Amxny102mn102mn11m1n1m1n(2mn)3nm2mn32nm2mn322.m122n1211m1n322.8xy1x21y216xyxy1x21y216xy(x2y2)461x21y2(x2y2)462x2y2y2x24622x2y2y2x2420xy10xy20.9abcabc24a11bc:abcabc2abc13a10bc0.4a11bc13a1bc)4a11bc1354bca1a1bc13(54)3.a12(bc)a1bc1.10f(x)ax2bx(a0b0)(1f(1))28abab:f(x)ax2bxf(x)2axbf(x)(1f(1))2,f(1)2ab28abab1a8b121a8b(2ab)1210ba16ab12102ba16ab12(108)9ba16aba13b438abab9.5/811.x0y02x5y20.(1)ulgxlgy(2)1x1y.:(1)x0y02x5y210xy.2x5y20210xy20xy102x5y.2x5y202x5yx5y2xy10.ulgxlgylg(xy)lg101.x5y2ulgxlgy1.(2)x0y01x1y1x1y2x5y2012075yx2xy120725yx2xy7210205yx2xy.2x5y205yx2xyx1010203y204103.1x1y721020.()1ababab3ab________ababab32ab3ab3ab9.2.xyxyxy100xy________.:xyxy100xy10y19y11xy9y11y29y11y69y11yy2.3x0y02x4yxy1x2y________tx2y2x4yxy112x4yxy2(x2y)12x2y222tt28.x0y0x2y0t0t216t80t628.x2y6/8628.1x0xx23x1aa________:xx23x113x1xx0x1x2(x1)13x1x13215xx23x115a15.2ab1a9b1abx24x18mxm________:a0b01a9b1ab(ab)1a9b10ba9ab10291616x24x18mx24x2mxx24x2(x2)26x24x266mm6.3(xy)1xay9xya:(xy)1xay9xy(xy)1xay91ayxaxya2a1yaxa2a19a2a4()a4a4.4yxmx2(x2)6m________:x2m0yx2mx222x2mx222m2x2myxmx2(x2)62m26m4.14205________________7/8:xy1y2y1k1x(k10)y2k2x(k20)4205k15k2205x20x5x20x25x20x205x20xx2202.20m________m2.:xmym212(202x)(10x)m0x10yx(10x)x10x2225x10xx5ymax25.1.ABy2xABy12AB:A(x1y1)B(x2y2)x1x2.y2xABy1212y1y212y1y212x12x21.12x12x222x1x2x1x212x1x214x1x22(x1x2).1.{an}nSnS7S53(a4a5)4a39a7________.:{an}q(q0)S7S5a7a63(a4a5)a7a6a5a4q23.4a39a74a39a3q44a31a324a31a344a31a3a312.4a39a74.2.a0b01a121ba9b:1a121b1a1b1a9b(a9b)1a1b10ab9ba8/8102ab9ba16ab9ba1a1b1a4b43.1.axbyc10(bc0)x2y22y504b1c:x2y22y50x2(y1)26C(0,1)axbyc10Ca0b1c10bc1.4b1c(bc)4b1c4cbbc5.bc04cbbc24cbbc4.4cbbcb2cbc1b23c134b1c9.2.Mx2my2m241M:m0e1m24m1m4m12m4m5m4mm2x22y281yx.