工程硕士网上辅导 扈志明数学讲义 第二部分 代数

2003[][]1))3(arccos(sinπ−[](A)π32(B)π61−(C)π65(D)π612565525[](A)(B)(C)81(D)2812002753[]200(A)(B)(C)(D)345641)(−=xxxf1,0≠≠xx=))(1(xff[](A)x−1(B)x1−1(C)1−xx(D)1−x503≤≤x[]2)2(2−−=xy(A)(B)(C)2(D)2−1−36)2,0(π∈xxxtansin1[](A)(B)(C)(D)7)5)(4)(3)(2)(1(+++++xxxxx4x[](A)13(B)14(C)15(D)166321[](A)151(B)3011(C)31(D)327[](A)(B)(C)(D)8[]6.04.04.06.0(A)(B)(C)(D)9sin([])1110(A)21(B)21−(C)23(D)23−10)1ln()(2xxxf++=[](A)(B)(C)(D)[]1123212331211232123{{}na}nb∑=nkkkba112123123nnkknmnmnmnmnnmnCCCCCC2,,011=+==∑=−+−4)(0≤≤AP0)(=ΦP)()()()(BAPBPAPBAPΙΥ−+=31nmAP=)(2)()()(BPAPBAP+=Υ1)()(=+BPAP3)()()(BPAPBAP=Ι4pnkkkknnppCkP−=1()(n−)[]1Cz∈122=−+iziz22−−[B](A)(B)3(C)4(D)5223)(ix+=x[B](A)32±(B)33±(C)3±(D)23±2.3.13)1(+x1223−++axxax=a[D](A)0(B)-1(C)2(D)2-12.3.54i2321+−=ω1[B](A)ωω−,,1(B)1ω2,,ω(C)1(D)2,,ωω−ωω+−1,1,12.3.653O1Z2Z221π=∠OZZ1Zi31+−=z12Z=2z[D](A)i31−−(B)i3−1(C)i+3(D)i−−32.3.7.1BA,fBA,)(BAfΥ)(),(BfAf)()(BfAfΥ2}30{},11{≤≤=−=xxBxxA))((,,BACBABABARΙΙΙΥ−−−−3a[D]0≠dcxbxaxxf+++=23)((A)(B)(C)0=b0=c0=d(D)0==db(336)4aa0,0babb722=+=+)(31lnba[B](A))ln(ln21ba+(B))21abln((C))ln(ln31ba+(D))31abln(33101c0≠21,xx02=++cbxx2112212221,xxxxxxxx+−+44432x31x+20075500ml500ml500ml0027445[A]==6321624yxyx(A)(B)(C)(D)4631}32{−=xxA}0)1({2−−+=axaxxBAB⊆a22445≤+−xx(551]4,4−3xx283312−−(571)4,2−1{}na12,23211=++=aaaa1{}na2{nb}nnba2{}na64111032=+++aaaaa76a+62212S3}210002n−×{lg624nnSnnS19=n4{}na48,1253==aaa631101,a62aa5{}na252645342=++aaaaaa53aa+632152177P2)(225522PPP3714)(445522PPP−2100331C29713C23973100CC−−3107453622133723PPCPP+49)21x+(7239997975953931922222CCCCCS++++=1100512100295CC2210025CC3210019515CCC(732)24030104440430CC−1734306.5.0105.06.×25.04.05.06.0×+×315.04.0×−735[]1},{},2,1,1{2AxxyyBA∈==−=BAΙ[D](A){(B)(C){(D)}4,2,1}4,1(}12},2{},,{2RxyyQRxxyyPx∈==∈==[B](A)Q(B)Q⊂P=P(C)(D)}4,2{=PQΙ)}4,2{(=PQΙ−−=2)1(log2[B](A)(B)(C)(D)]2,1()2,1(),2(+∞)2,(−∞4a[B]b,ba(A)(B)22baba2121(C)(D)0)lg(−ba1ab5)(xf}0,≠∈xRxx{)(xf),0(+∞0)=1(−f0)(xfx[C](A)(B)(),1(+∞)1,0(C)(D)(),1()0,1(+∞−Υ),1()1,+∞−−∞Υ6[B]12)(+=xxf)(1xf−0)(1−xf(A)(B)((C)()2,(−∞)2,1),2+∞(D)()1,−∞7iz+=123−+=zzωω[D](A))4sin4(cos22ππi+(B))43sin43(cos22ππi+(C))45sin45(cos22ππi+(D))47sin47(cos22ππi+8)21,,(≥∈+=xRyxyixzxz=−1[D]z),(yx(A)(B)(C)(D)9iziz+=−=3,12121zzz=410)0(cos≤≤−=xxyπ[B](A)(B))11(arccos≤≤−=xxy)11(arccos≤≤−−=xxy(C))11(arccos≤≤−+−=xxyπ(D))11(arccos≤≤−−=xxyπ1175105[D](A)C(B)P5551057PP5551057PC(C)(D)C57510PC51057P126316[A](A)2(B)3(C)4(D)51343311[D](A)(B)8(C)10(D)12614[A]34)1(6)1(4)1(234−+−+−+−=xxxxSS(A)(B)+x(C)(−(D)+x4x142)2x4415nxx)(+36n9.16nx)21(+na}{nanS=nSna∞→nlim[B](A)(B)021(C)1(D)217{}naq1,01qannnaa+1[A](A)(B)(C)(D)18{990}na5a1019{n}nanSa,11=2≥nnnSa3=3lim11−++∞→nnnSS[A](A)31−(B)2−(C)1(D)54−20{}na1≠q532,,aaaq215−2141)4tan(,52)tan(=−=+πββα=+)4tan(πα223[D](A)1−pp(B)111−p(C)11(D)p1−11p