高中數(shù)學(xué)選修2-2課后習(xí)題答案人教版

第一章導(dǎo)數(shù)及其應(yīng)用變化率與導(dǎo)數(shù)）3h和5h和3h1h5h3h.）1tt.ht)t在ht)tt在t3443..）VVrV)3；(0.6)0.3r(1.2)0.2，.r.A）Wt)Wtt)Wt)Wtt)(t)W(t).tW10102020tt01020..hht)h(1)、4.9t3.3(1).ttss.1ts(t)t5在.5sss(5t)s(5)t10s.tt】15s5s310150E22k(t0).tkt2250.8時，.k，于是.tt288t)t3.2在.s(3.2)(3.2)25tt20.tt8s.20s1.(x)在x5x5同.ffxx()在4，22..()fx()fx()fxx()fx()的fxxxx()..fx….B）.、(t)s(t)s(t).v.(x)13f......導(dǎo)數(shù)的計(jì)算{）()273，5.、；fxxff1）y2ex；）yxln2106））；））；yyx4xyxx1x1sin33；.y2x1A）SS(rr)S(r)、、rrS(r)lim(2rr)r.rrr0()6.5.htt13()、rV.334V213ynxexe）2；）；xyxn1xnxln2>3xxxxx2399(1)；x））；）yyy98x22ex4.；6）yxxx()822由()4有482232.、.fxxfxx0x001）1.yx）；yxx、.1y()500ln0.8340.834At.t）7.AB））]sin(xh)sinxx.hyyh）xyx.y0x0P..yxye1.yxx0.Pyx!()dt.0.42t、0.630.831.24導(dǎo)數(shù)在研究函數(shù)中的應(yīng)用）.f(x)x2x4f(x)2x22()01()24fxxx當(dāng)當(dāng)fxxx2()0fx1()24.fxxx2()fxex()1.fxexx()000()當(dāng)當(dāng)fxxxfxexx()0fx().fxexx()3()33fx.fxxx3x2*()011()3fxxx當(dāng)當(dāng)3fxx()0fx1或1()3xfxxx.x3()()321.fxx3x2xfxx2x1()01()當(dāng)當(dāng)或fxxxfxxxx3231()0fx1().xfxxxx323、f(x)axbxc(a)()22fxb.0ab()0fxax2bxca()(0)fxxx2a|b()0fx(x)axbxc(a0).f22a0ab()0()fxaxbxca(0)fxxx22ab()0fx()fxaxbxca(0).22a.f(x)2x6x7f(x)6x12x322當(dāng)()6120，xfxxx2()267在(0,2).fxx3x2P29）、x,xyf(x)24(x)xxyf(x).xxyf24%.f(x)6xx2f(x)12x121()10x令.fxx1211當(dāng)()0fx，fx()12()0fx()fx，.xx12111149f(x)f()6()22.x1212121224()27()327.fxx3xfxx2()32703.令fxx2x()03或3()033.fxxxfx()x()當(dāng)x，fxfx(3(3,)x3＋0－0f(x)543f(x)；x當(dāng)3f(x)54.x()612()123fx.fxxx3x2；()12302.x令fxx2()022()0fx2或2.xfxxx()fx，()fx當(dāng)x(2,)－x202@0f(x)10）2f(x)10；x當(dāng)2f(x)()33x()3.fxxx3fxx2()3301.令xfxx2()011()01或1.fxxfx()xx()fx當(dāng)x，fx&)x11－0＋02f(x)21f(x)2；x當(dāng)1f(x)2xP31）【114924xf(x)6xx2f()12.2122，.ff49fx()62在.x2x24[3()27()27xf(；xfxx3當(dāng)3f；xfxxx3(，.ff()27在[54.fxxx31[,3]3x2f(x)612xxf.3155，f15.f()3271[,3]355()612在.fxxx327`()3.fxxx32，18.ff()3在218.fxxx3A）(x)2x1f(x)20.f(x)2x1.f.f(x)xxx(0,)，f(x)1x0x(0,)，22.f(x)xx(0,)在2(x)2x4f(x)20.f.f(x)2x4~.f(x)2x4x3f(x)6x402.f(x)2x4x3f(x)2x2.f(x)x2x42()0fx1()24當(dāng).xfxxx2()0fx1()24.x當(dāng)xfxx2()233()43.fxx2xfxx3()0()233當(dāng)當(dāng)..fxxxfxx2x43()0fx()233fxx2x4()3()330.fxxx3fxx2()3.fxxx3:()fxx()321.xx3x2xfx213()01或()當(dāng)當(dāng).fxxxfxx3x2x13()0fx1().xfxxxx32.()xxyfx2和()xxxxyfx.14(x)(x)xxyf3xxyf5(x)6xx2f(x)12x1.f21()10x令.fxx12{1當(dāng)()0fx()fx，x121當(dāng)()0fx()fx，.x121所以，時，49有極小值，并且極小值為xf(x)12111f()6()22.12121224.f(x)x12x3f(x)3x122()31202.x令fxx2()0fx22()0fx22或.xxx()fx，()fx當(dāng)x(2,)x?2200＋!16f(x)2f(x)；x當(dāng)2f(x)16.x()612fx()123x.fxxx32()12302.令xfxx2，()02或2()0fx22.fxxxx()fx()fx，當(dāng)x(2,)x2020＋f(x)10"2f(x)；x當(dāng)2f(x)10.xf(x)48xx3f(x)483x.2()48304.x令fxx2()02或2()0fx22.fxxxx()fxfx()，當(dāng)x(,((4,)4x￥4()fx－0＋0－…128f(x)4f(x)128；x當(dāng)4f(x)x14724[xf(x)6xx2.212(1)7，(1)9，ff,4724()62在fx[，()12.x2x[2；xxfxx3當(dāng)2.x()1216xfxx3(9，9，ff()12在[，16.fxxx311[,1]f(x)612xx[,1]在.3331269，f()f(1)5，3271269275，.在f(x)612xx[,1]334f(x)x，f(f，\在f(x)48xx[，117.3B），(x)xxx(0,).f()10x(0,)，fxx在f(x)xx)(x)xxf0x(0,)，sinxxx(0,)，.f()，(0,1).fxxx2x()12fx，xx1(0,)f(x)12x0f(x)，x2f(x)xxf(0)0；2`1當(dāng)(,1)2f(x)12x0f(x)，xf(x)xxf(1)0；211()0又.，.fxx0x224()1，.0fxexxx()1fxex0，x0()10f(x)，fxexxf(x)e1xf(0)0；x當(dāng)0()10f(x)，fxexxf(x)e1xf(0)0；x，1xx0.ex,f(x)xxx0，.1()1，x0fxx10x1f(x)10f(x)，xf(x)xxf(1)10；1當(dāng)1f(x)10f(x)，xxf(x)xxf(1)10；當(dāng)1ln11.lnxx.xex1xx0，.xxxex0，.x(x)axbxcxd.f32.~()fxaxcxd()32.fxaxbxc3bx220當(dāng)a0a0和a0b02a()3bxc20xx,xx，fxax21212()3bxc20xxxxfxax()bxcxd當(dāng)當(dāng)或fxaxax223212()3fxbxc20xxxfxax()bxcxd.3212當(dāng)0b02a()320fxax()bxcxd.fxax2bxc320b0a2—()3bxc20xx,，xxfxax21212()3bxc20xxxfxax()當(dāng)當(dāng)fxaxax223bx2cxd12()3fxbxc20xxxxfxaxbx()cxd或.3212當(dāng)0b02a()3bxc20fxax()bxcxdfxax232生活中的優(yōu)化問題舉例A）xlxxlx，，44xlx1Sf(x)()()(2xlxl)0xl，.22224416l()0fxxl420x，令.2ll當(dāng)(0,)f(x)0x(,l)f(x)0.x22（l().fxx2l.2ax.2xaxa()(2)，Vxax2x0x.2()44Vx，2xx3ax2a()128.Vxx2axa2aa2()0Vx令.xx26`aaax(,)時，V(x)0.當(dāng)(0,)時，V(x)0x662(x).axV6a.x6，hR2VRS由.VRh2hR2VVS(R)RRRR0，.22R2RVV()SR40令R.R3RV當(dāng))()0；SRR3^3V當(dāng)(,)()0.SRR3VVVS(R).h22R.R33R2.1n2nnnf(x)(xa)f(x)(xa).2iii1i11nn()0fx令，xaii11nnf(x).xaii11nnnaii1.xx2，2xm28x2axm()ma288x%2x2a8axal(x)x)x，x02x44x2aa()1lxx0令.4x428a8a8a當(dāng))()0lxx(,)()0lx.x44al(x).x48am.4LRR.C.Lq11Rqpq(25q)25qq，28811LRC(25qq)(1004q)q21q1000q，.2288121Lq4]14L0qq.210，令L0；q當(dāng)L0；當(dāng)qqL.L,B）xx1801L(x)(50)(x20)x70x1360180x680，.210101()700350.令Lxxx5當(dāng)()0Lx()0Lx.xx350L(x).x—.xbx4bL(x)(xa)(cc4)c(xa)(5x)ax，.bb4c4acbc4ab()Lx0x令.xbb8(a,4ab)L(x)0x(4abb,)L(x)0.當(dāng)x8844ab當(dāng)L(x).x84ab.8定積分的概念）8.3^.）ii1i12、sv()t[()2]()，i,n.si22nnnnnniinnn()tsssvniii1i1i1i12n[()]2nnni111n11n1()()()22nn22nnnn12n]222n31n(nn1)2n63111)23n2n《1i11153nns[v([(1)nn3n2nnni1i1.22、3.）24..x30，0x2y0S4.yx，x3A）(x)1i2））；1i1i112(x)；1i1】11i2().）x1i1.18112171310140271181121713167.f(x)1.axxxxxb01i1in[a,b][x,x](i1,2,,n)上任取一點(diǎn)ni1iibannf()xba，nii1i1banbnba，nai1.121x20x1，01yyxx011xdx2.40@10）.xdx341x[上00x0x1y0，，x331yx3.1110xdx1.0xdxxdx333441101由于在區(qū)間[上0x0上xxx3331.x11542024xdxxdxxdx3334110x[x0x02上上x3331.x[x3[n20x2.3xx33x33110[0，x3122..x3x301.B）0到t6st*.）v9.81t.i11899.819.8122428i1111879.812242i89.81）i1d44）；.tt00]1lnnlll(nl[0,][,]，……，[,l]，，nnnni1)lil[,]in（innili1)llx.nnn。lll，……，[(nl[0,][,],l]，nnnnm,m,,m，12nn.mmii1i1)lil,]當(dāng)[(x)xnx2nni1)lil,][nnii1)lill).[,])i（值.mxn22nnniiiiilnminn)2.mxniii1i1i1lnmlxm22nin0i1微積分基本定理…）50425；）；）；；33331）；2）ln2；；2）.2.A）401）2923ln2；）ln3ln2；）；317）；621；）ee2.）28.[x]20、.0.xxxx1.@B）1e11132[e][sin2]；；2x1x4222224062x6[].3122cosmxsinmxdx[][coscos()]0；））mmsinmx1cosmxdxmm；[sinsin()]0mm1cos2mxxsin2mxsinmxdxmxdxdx[；）2224m1cos2mxxsin2mxcosdxg[.）2224mgggggt)e)dt[te]tete245）t.st0.2tkkk0kkk2220te.0.2t.t—00e0.2t15000t5245，t5000524549.t49e3.36107e，1.24107，e107.70.2tte245e.0.2t0.2t5245.t2455000ts.49B.定積分的簡單應(yīng)用）32）；3~.）、5(2t3)tt].s25333、W4(3x4)dx[x4x]40J.24020A）9；）.2qqqqb、b[k]kk.Wkdrbrra2aat)040t0t4v...4t)[40tt].h2400t5stt，t200".即5,B.t5[]A.ttt23500Fkl100.01k.k1000.Wl5J.20055vt)5t0t10..1t551）s(5t)dttt55ln(1t)]55ln11.201t20B））aax與22x2y2a2xaa2aa2x22a`10[1(]xxxy(1)1）222）yx1111142102[1(xx.242b()24hyaxha2a.2b24h.x2yb24h4h2bb22(hx)x]2.S232b2b203022yx3xy21，3x2.yx2yx1x2]1023]xxxx(1.221Rh[G]G.WGRhrrR(Rh)2RR第一章復(fù)習(xí)參考題A組（）；）.4y2sinxcosx2x3(2)(31)(53)；xxx）；））yy2cosx222x2x2x）2x2；y.yxx4xGMmF、.r3()0））..ft4..ff2(x)x()fx.323x3》2()fx00()fx當(dāng)x3x32()fx00().fx當(dāng)x3x3.f(x)xpxqf(x)2xp2p()201().fx當(dāng)fxxpx2p由1p2.f(1)12q4q5.2(x)x(xc)x2cxcx，f2322()34(3)().xcxcfxx2cxc2c()0fxxc.()()fxxxc當(dāng)x232()()c0fxxxc.x2【ccc(,)xcc333"c＋0－0數(shù)當(dāng)x3函f(x)cf(x)x(xc).，2c6.23AOB.A(aA(aP，，y0xa1(xa).yx01a1aaa)當(dāng)0yB(0,.xa1a11aa22a12(aAOB(a)a.SS1a2a2()0Sa()Sa0.令2(a2當(dāng)0，a2S(a)0a0.a(0,2)(2,)x￥2()fx)－0＋f(x)2ABAOBa、.D(x.x:14.84x4(x0.5)12.88x3.22x.44VVV(x)x(x0.5)(3.22x)2x2.2x1.6x，0x1.6.32()0Vxxx602.令4.1xx15當(dāng)(0,1)()0()0.xVxxVx.1mm.1V(x)在x3100x()(100)(10005)5500100000x.yfxxxx2）()0105000，.x50令又fxx，，fff.50f(x).x..x623.7x，x623.7S(x)(x22.54)(23.17)x3168.396655.90726.34x，5.08x98.38.x23168.396623.722.36()06.34Sx0，22.3627.89.令xx2x22.36()在.Sx|.qy.1則yR(q)20000100qq300q20000qqN).2200，.q令yq當(dāng).qyqyq()在.yp.）232；）e22；3；xx22xx)xx]0；2220xx001x[2xx2].220240，.、222..Fkl0.0490.01k.k4.9.l2J）W2第一章復(fù)習(xí)參考題B組（）()102105100和104.與t）.tbt43t0t5t)0當(dāng)5t555t)0.S.r1l，l2r