1、10/24/202212,q qix0 x10/24/202210/24/2022ix10/24/202210/24/202210/24/202210/24/202210/24/2022()iX s()E s()Xs()Xs()iX s()Xs()E s()Xs()E s()Xs()Xs10/24/202210/24/202210/24/20221110()()nnnna papa pa x t10()(),mmib pb pb x t,nm(5.1.15.1.1),dpdt1110();nnnnD pa papa pa1110(),mmmmM pb pbpb pb()()()(),()()i
2、M sN sXsX sD sD s(5.1.25.1.2)()()()M sG sD s10/24/2022()N s()N s()(0)kx()x t()()kxt0t()0iX s()()()N sXsD s()0D s 12;in,isis10/24/20221111()()()exp()()niiiN sX tLXsLAstD s(5.1.35.1.3)1(),()()()issiN sdAD sD sdsD sislim()0otx tlim()otx t10/24/202210/24/2022()t()()tt。()0,tl imt若(),tl imt 若10/24/2022()(
3、)()(),()M sLtW sG sD s11()()(),()M stLL sLD s211()()exp()exp().()inniiiiis sM ststAstD s(1,2,)is inlim()0tt。(5.1.4)(5.1.4)(5.1.55.1.5)10/24/202210/24/2022()G s()()x tt或10/24/2022j0is 10/24/202210/24/202210/24/202210/24/2022()()(0),()(0),kkxxtt 的情况下 满足输出为(5.1.6)(5.1.6)0,1,2,k 10/24/202210/24/202210/2
4、4/202210/24/20221110()0nnnnD sa sasa sa110112()()(),nnnnnnnaaasssssssssaaa12,ns ss121()()()()nnssssssss121112()()(1)nnnnnnnijiiijiijssi ss s ss(5.2.15.2.1)(5.2.25.2.2)(5.2.35.2.3)10/24/202211221 21 331 2 31 2 401 2();(1);(21);(1)().nnsnnnnssnnnnnnnnassaas ss ssaas s ss s ssaas ssa (5.2.45.2.4)10/24/
5、202212,ns ss(0,1,2,1,)ia innia10/24/2022ia1100,0,.,0,0.nnaaaa(5.2.55.2.5)0ia 12,ns ss10/24/2022 246nnnnaaaa 1357nnnnaaaa654326543210()0sD sa sa sa sa sa saa10/24/202210/24/202210/24/202210/24/202210/24/202210/24/20225431242524850000sss5432()2244825500D ssssss42()248500F ssss38960ss10/24/20223s543210
6、1242524850896024500112.7005000ssssss10/24/202242248500ss1;5ssj 10/24/20221()()0G s H s1()()G s H s(),kGj()()G jH j()kGj10/24/2022()kGj()()G jH j()kGj10/24/2022()()1()()BG sGsG s H s()()()KGsG s H s1()()0G s H s()1()()F sG s H s 1110121212.()().()()1()().()()().()mmmmnnnb sbsbs bk szszszF sspspspspsp
7、sp 10/24/2022(1,.)isp in(1,.)isz in10/24/202210/24/20221212()().()()().()msnK szszszFspspsp(5.3.15.3.1)ssj()F s()F s()F sujv10/24/2022()F s10/24/20221212()()()()()()()nnF sszszszspspsp()F s()iszisziz()isz21()sz2(),.,()nszsz12(),(),.,()nspspsp()()2iF ssz (5.3.5)(5.3.5)10/24/202210/24/2022(1,2,)ip ini
8、p10/24/2022()KGs()KGs()BGs10/24/202210/24/202210/24/2022 10/24/202210/24/202210/24/2022()1()()F sG s H s()()()1G s H sF s10/24/20220,lim(),KsnmGsnm当常量 当0,lim(),KsGs当分母中含有积分环节时常量 当分母中不含有积分环节时0ss 或10/24/2022sj()()G s H s()()G s H sj()()G s H s10/24/2022()KGs()()G s H s()KGs()KGs()G j()H j()KGs10/24/20
9、22()G j()H j0P()KGs10/24/2022()kG s()kG s(0)r 10/24/202211(1)()()(1)mjjnjiKT sG s H ssT s0limjrsre001lim01lim(1)()()lim(1)jrjrmjjjnsrerjisreKT sKG s H sersT sGHs0022GH2210/24/2022()G j()H j()G j()H j()G j()H j()KGj10/24/20220P 10/24/2022()KGs0P 10/24/2022|()()|()()|GjHjG jH j;()()()()GjHjG jH j()()G
10、jHj()()G jH j10/24/20221()()G s H s()()G s H s()()G s H s10/24/202210/24/202210/24/20221()()sKGsG s e1()(),jKGjGje1()(),KGjGj1()(KGjG j 10/24/202210/24/202211(),(1)G ss s1(),(1)skG ses s,1()(1)jKGjejj10/24/202210/24/2022010/24/202210/24/202220lg()()20lg10G jH jdB10/24/202210/24/2022cg()()G jH jgcgc1
11、0/24/2022c21()ssa10/24/202210/24/202210/24/2022cgcgcgc10/24/2022c3c12,cc10/24/2022()KGj10/24/2022c0ccgc10/24/2022c180()c()KGj()c 10/24/2022g0g()()ggG jH j1()()gggKG jH j120lg20lg20lg()()()()()ggggggKG jH jKdBG jH j记10/24/2022gc1()()gggG jH jKg10/24/2022()()ggG jH j()()ggG jH j30 60,10/24/202210/24/2022