新课标人教A版高中数学必修5教案

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FGᦪᑡḄ1100⚗஺#2_(1)ᙠᦪᑡ`%abMc=1஺C2=31*✌⚗᜜fIdg53(2)bMᦪᑡ`a,,Kᦪᑡ஺3=&,%=—&*K5Ḅh.?_(1)?ij_•.,“5=1°/2=31,ᑣ4&+4d=10)q=-2%+1Id=31d-3ᡠFGᦪᑡḄ✌⚗
j2,I
3.?ip_a1;=&+7d=>31=10+7d=d=3,ᵫ&0=q+(5—1)x3q=—2ᡠFGᦪᑡḄ✌⚗
j2,I
3.#3_tuᨬwjxy33cm,ᨬ|•xyK110cm,a}~ᨵ10xᔜxḄyᡂᦪᑡa}ᔜxḄy.?_`%⊤tuᔜxyᡠᡂḄᦪᑡᵫbMᩩ,M_a=33,a=110,n=12x12a%=%+(12—1)J,ᓽ10=33+11J?_J=7

25a=33+7=40,%=40+7=47,4=54,%=61,2a—68,a=75,%=82,%=89,%஺=96,a”=103,67Q_tua}ᔜxḄyᑮ
cm,47cm,54cm,61cm,68cm,75cm,82cm,89cm,96cm,103cm.#4_GᦪᡂᦪCḄK18,Ḅ\K116,*FGᦪ.?_FGᦪKa-d,a,a+dci—d+Q+a+d—18ᑣ1(a-d)2+a2+(a+d)2=116?FGᦪK4,6,8ᡈ8,6,4"&(1)Mᦪ¡¢£¤MᦪḄGᦪ.(2)¥=¦§¨ᵫᜧᑮªᵫªᑮᜧ«¬.#5_bM®Gᦪᡂᦪᑡ,ḄK28,a}⚗Ḅ¯K40,*F®Gᦪ.?:FGᦪKa-3d,a-d,a+d,a+3da—3d+a—d+a+d+a+3d=28ᑣ4(a-d)(a+d)=40,,a=1fa=3?_\ᡈ±M=3d=7F®GᦪK-2,4,10,16ᡈ16,10,4,-2.#6.²³¨´µḄ¶᪗¸K1.2ᐗ/km,»¼¶K10ᐗᓽᨬ½Ḅ4km(7¾4ᓟÀ)Á10ᐗ஺᝞=²ÂÃᙶųḄ¨´µÆÇ14kmᜐḄÉḄᙢËjÌᵹH᎛}K0,◤⌕ÐÑÒ¤µÁ;?_᪷Ô⚪LÕų¨´µḄÖ]ᜧ[ᡈ[4km×Ø1km,ÃÙ◤⌕ÐÑ1.2ᐗ.ᡠᡃÛYjGᦪᑡ

26ঝᦪᑡH⚗IJ_%=%+(஻—l)d(nìl)íî¨IJ_a=a+(n-m)dnm2.2ᦪᑡ(p)

27jஹᦟðÉ᪗1ஹñò”ᑨôᦪᑡ
ᔲKᦪᑡ"öᵨḄ\ig2ஹøj¼ùãñòᦪᑡḄH⚗IJஹឋûü¦ᵨ.3ஹøj¼ùãñòᦪᑡḄH⚗IJஹឋûü¦ᵨ.pஹᦟðýþஹÿ
ᦪᑡḄ⚗ஹឋᵨ.ᮣᵨᦪᑡḄឋᐵ⚪.ஹᦟ"#$()ஹ'(1.ᦪᑡḄ.2.ᦪᑡḄ⚗a=a+(n-l)J(a“=%,+(஻,)4ᡈa=pn+q(pஹq./ᦪ))n[n3.ᨵ12345678d:জd=%-a,Tঝঞd=""fn-ln—m4.<=.✌⚗al=l,d=3Ḅᦪᑡ?@a=2005,ᑣn=()nA.667B.668C.669D.6705.ᙠ3C27DEFᐭ7Hᦪ?IJKᡂMᦪᑡ?ᑣFᐭḄ7HᦪḄNOHᦪ.()A.18B.9C.12D.15PஹQR1.ឋᙠᦪᑡS&)U?@m+n=p+q,ᑣam+=+aqᱯWᙢ,@m+n=2p,ᑣa+a=2aonPZ1.ᙠᦪᑡSঞ=U(1)@M=a,aio=b,\a®(2)@a3+a8=m,\as+ae;(3)@a=6,a=15,\am]8(4)@ai+a2++a5=30,a6+a7++aio=8O,\au+ai2+?,,+ai5.(1)2aio=a5+ai5,ᓽ2bPa+a1$,ai5=2b-a;(2)•:5+6=3+8=11,Aa5+a6=a3+a=m(3)a8=a+(8-3)d,ᓽ15=6+3d,Ad=3,_`aaa5+(14-5)d=6+9X3=335(4)v6+6=11+1,7+7=12+2,/.2a=%+ᓽ?2a=a+a672[2_`(%I++…+%5)+("1+%+…+%)=2(6+Q7+…+4஺)P.62|τ+tZj2+,••+%5=2(4+%+,•,+%஺)—(q+%+,•,+%)=2x80-30=130.2.ᑨfᦪᑡ.ᔲMᦪᑡḄ/ᵨ34(1)4hiPd(/ᦪ)Z2.jkᦪᑡম=Ḅmn⚗nMS=3n2-2n,\hᦪᑡ<=ᡂᦪᑡ,o\ᐸ✌⚗ஹஹ⚗n

28.:rn=lu,ai=Si=3-2=1;rn22u,an=Sn-Si=3n2-2n-[3(n-l)2-2(n-l)]=6n-5;*.'n=luaia„=6n-5,/.a„=6n-5✌⚗ai=l,a„-a0-i=6(/ᦪ)ᦪᑡSa„=ᡂᦪᑡM6.(2)U⚗4ᑭᵨU⚗?@2b=a+c,ᑣa,b,cᡂᦪᑡ.(3)⚗4ᦪᑡḄ⚗.ᐵnḄᦪ.Z3.jkᦪᑡS%=Ḅ⚗M*=pn+q,ᐸUpஹqM/ᦪ?p#0,Hᦪᑡ.ᦪᑡᔩᑖ᪆ᑨS%=..ᦪᑡ?56ᑭᵨᦪᑡḄ?.4-(n>l)..HCnᐵḄ/ᦪ஺ᦪᑡS4=UḄ¡¢£¤⚗¥C¥\¦%-a„_|=(pn+q)-[p

29ᦪrXᙠÀ᦮ᦪõᑁ÷uḄḄøᔠ஺.56¦Õúûᦪᑡi=p஻+qḄÌÖ.ᦪy=px+qḄÌÖḄHüø?.y=px+qᙠÀ᦮ᦪøñ»ḄḄøᔠ஺æᜐþ56ÆÇ"È_ᦪᑡ%=+qUḄpḄ1ÿ
஺ஹᚪ1.ᦪᑡḄឋ2.ᑨᦪᑡᔲᦪᑡᵨḄ.ஹ᜜!"1.▅%ᦟᩞ(110)114⚓2.ᦟᩞ(39⚓+,(4ஹ5⚪.!".,ᫀ0!"ᓝ22.3ᦪᑡḄ3n⚗5678

307ஹᦟ9:᪗1ஹᦪᑡ3n⚗5>?.2ஹᦪᑡ3n⚗5>?AᐸCDEF3ஹHᵨᦪᑡḄ3n⚗5>?IJ7KLᓫḄN3n⚗5ᨵᐵḄQ⚪.2ஹᦟ9RSᦪᑡ3n⚗5>?ḄᳮIஹUVAWᵨ.ᦟ9XSᮣZWᵨᦪᑡ3n⚗>?IJ7KLᓫḄᨵᐵQ⚪.ஹᦟ9[\(7)ஹ_,`ᐭ1.ᦪᑡḄb
:a—a_=d,(n)2,n£N+)nnt2.ᦪᑡḄj⚗>?(1)a=a+(n-l)J(2)a=a+dḄজd=a-a„_,ঝ஻_7zঞ஻_%7%nn-1n-tn4.~⚗A=ᡂᦪᑡ25.ᦪᑡḄឋm+n=p+q=>%?+*=%)+4(m,n,p,qGN)6.ᦪᑡḄ3n⚗5ᦪᑡ%~/+%+%+…+%ᦪᑡ%Ḅ3n⚗5S”.“ᦑ”1ஹ2ஹ3ᜧḄᦪ9ᜩᦻ9ᓝᨵ7ὁ¡7⍝⚪:ὁ£“¤ᙠ¦ᜧ⍝⚪:1+2+…100=?”[¡¨ᑖª«¬ᜧᙠ1+2=33+3=64+6=10…s®¯°±²³ᩭµ¶£“1+2+3+…+100=5050.”ᦟQ“·᝞¹s¶ᫀḄº”µ¶£“»1+100=1012+99=101—50+51=101,ᡠ¿101X50=5050”ÁÂᦑÃÄᡃÆ(1)!ᦪ9ÇÈḄÉÊᗐÌÍÎᦢÌEὃᡠ¿ÑÒÉ7KLᓫḄᱥ~Ô¤5ÕÖ×KØÙឋḄÚÛ.(2)ÜᦑÝÃÄᡃÆÞᦪᑡ3n⚗5Ḅ7qßR⌕ḄEáÁÊâ☢ᡃÆ⌕äåḄ“᎔çèé”.2ஹêIë1.ᦪᑡḄ3஻⚗5>?1=ì+H

31íîS"=%+஺2+஺3+…+a”-i+*জS“=4஻+a“T+”"-2+…+஺2+"|ঝজ+ঝ2S=(%+%)+(%+a,i-i)+(஺3+an-2)+,,•+(%+%)n4+a=%+%71=%+*....n25“=஻(ï+a)ᵫñS“=ò2.n2.ᦪᑡḄ3஻⚗5>?2S“=஻/+஻(஻—>.2ᵨóô>?⌕ÞS“õöᐹᜓÂᩩú஻,᜜,%.ûï=+(஻-1)4üᐭ>?1ᓽS,=஻/+“(஻”ñ>?⌕ÞS,,õöþÿ
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#ᦪ⚗&'Ḅ).ஹ+⚪-.+1ஹ(1)/0ᦪᑡ0n,a,=4,S,=172,23d;(2)/0ᦪᑡTO,-6,-2,2,…567⚗Ḅ3!54?.প172=^^n%=3939=4+(8-l)d=d=5ফ:⚪Ḅ/0ᦪᑡ&;%=,5n⚗&S“ᑣ&=—10,d=(-6)—(—10)=4,S.=54ᵫ@"10஻+"প""x4=54..@n.=9,n=-3(CD)22.../0ᦪᑡT0,-6,-2,2…59⚗Ḅ3!54.+2ஹᦟᩞP43☢Ḅ+1.+3.IᔠM=;L1஻?=7஻,஻6%*MN<100ḄᐗQ
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32.ᵫ7”<100@«<—=14-77.••Y᦮ᦪ஻ᐳᨵ14
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ᐗQᓽ7,14,21,98!q=7&✌⚗/4=98/0ᦪᑡ.`ab=735cᶍ.2+4ஹ/0ᦪᑡ;e=Ḅ5஻⚗3&S“RfS12=84,S2O=46O,§28.ghai"hajkT•ᦟmnopqsitপᙠ/0ᦪᑡ;%=R%+஺99=200,ὡ0xফᙠ/0ᦪᑡ;%=R45+%+“9+4=20,S20.+4./0ᦪᑡ
a.5y⚗3&21,ᨬ{y⚗Ḅ3&67,ᡠᨵ⚗Ḅ3&286,⚗ᦪn..}⚪~R@1τ2341*+%-1+஺“-2+%-3=67,2@gq+a„+«2+*-1+g43+%-2s+g“4+*_3s=88,஺]+஺஻=a+a_=%+%"2=%+஻஻-3,ᡠ+஺“=222n]s="ভ+%s=286,ᡠn=26."2+5."
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33ᦟh⌕"i/0ᦪᑡḄ⚗35஻⚗3./0ᦪᑡḄ"Uឋ¢RS£ᵨ¥¦.§"Uᐵ©⚪£ᑭᵨ/0ᦪᑡ⚗«55r⚗3ḄẆ¯ஹḄᨬ°.a4᝞³A“RB”ᑖ¸!/0ᦪᑡ;aj,;bjḄ5n⚗3RᑣR•",^2n-lᦟhÀni/0ᦪᑡḄ3.ᦟhÁnᮣÃÄᵨ3.§©⚪.ᦟhÅÆ"ஹÇtÈᜓ1ஹ/0ᦪᑡ3s“=yÌÍR5“=஻%+ÎÏ4222ஹᙠ/0ᦪᑡ;aj(1)f@5=a,aio=b,ai5(2)fa3+a=m,an+a;8€(3)fa5=6,a8=15,a஻(4)fai+az+…+a5=30,00+^7+…+aio=8O,an+aR…+2àஹ-ᣴ×1ஹá¯/0ᦪᑡḄ5â⚗3!"
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34KL&'ᦪᑡ)⚗+Ḅᨬ-.⚪ᨵMNOP:(1)஺“>0,d<0,)n⚗+ᨵᨬᜧ-.
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xyza„>o"{HWn%-i4°(2)&'ᦪᑡ5a08✌⚗~ᜧv9i'ᜧvd9wḄ)n⚗Ḅ+S“ᨵᨬY-9
xyza0V஺“+[<0Ḅn-;(2)ᵫS“=஻4+᝝98஻=4"2+(44)஻,ᑭᵨ!"bᦪḄឋHḄ-G(3)ᑭᵨ&'ᦪᑡḄឋH.ஹ᜜fᫀᓝ஺⊡ᐙ⚪()1.(Dkl&'ᦪᑡ5ajḄa.=24-3n,ᑣ)⚗+ᨬᜧ(2)kl&'ᦪᑡ5b,,)Ḅy⚗b.=2n-17,ᑣ)⚗+ᨬY3(1)ᵫan=24—3nl஻K8d9a„>0,“N9d9a”<0,G•)8⚗ᡈ)7⚗Ḅ+¥ᨬᜧ-.

35(2)ᵫbn=2n-l7nl஻<8d9*<0,“29d9%>0,:•)8⚗Ḅ+¥ᨬY-.2.ᦪᑡ(a,,)✌⚗uᦪa.Ḅ&'ᦪ¦ij,§S¨Sm.ᦪᑡḄ)B⚗+ᨬᜧ3ᵫS=SITW9a5=17a,99/.2஻]+25d=0,%3+%4=0,ᡠxª«M⚗¬+0.§4>0,.,.«|>0,a<0.3l4S13ᨬᜧ.®4”+%4=0
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36%NO=>9<«<10J+40ÂÃ.஻=9ᡈ஻=1O,S஻ᨬᜧ9S“ᨬᜧ-S=180105.kl&'ᦪᑡ5a33a=8a,a,<0,Å)n⚗+S,Hᩗ¥ᨬY-dnḄ-.5I2Çᑖ᪆ÊH&'ᦪᑡ)n⚗Ḅ+ᨬY9
xᵨbᦪḄOËH9Ì
xᵨᦪᑡᓫÎឋ9
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37Õ-ílô³ᢈöò᪗1.&ñᦪᑡḄ÷G2.&ñᦪᑡḄy⚗i.Õ!ízø³öùò᪗1.®ú&ñᦪᑡḄ÷G2.ûü&ñᦪᑡḄy⚗i9ý3þl⍝%,,4nḄḄ⚪.ᦟ1.ᦪᑡᭆḄᳮ!2.ᦪᑡḄ#⚗%&Ḅ'()*ᵨ.ᦟ,-ᦪᑡ""Ḅᳮஹ01*ᵨ.ᦟ23ஹ456ᐭ89☢ᡃ<ᩭ>?᪵Aᦪᑡ>ᐸCᨵEᐳGᱯIJᦟᩞLḄP48☢O1,2,4,8,16,…2638জ1,L-•••!ঝ2481,20,2JO2,20\•••!ঞ1.0198,1.10982,1.10983……ট]^ᦪᑡজa,=2"-';4=2(n22).]^ᦪᑡঝc=d!-(n22).a-\2a_2nnl]^ᦪᑡঞa,=20"'';3f=20Jn2O.ᐳGᱯ8ghi⚗jh⚗k⚗Ḅl^Gmᦪ.iஹno1.ᦪᑡḄpq8rᙢtᦪᑡghi⚗ju⚗vḄk⚗Ḅ^Gmᦪ?ᦪᑡwxyᦪᑡ.?mᦪxᦪᑡḄ%ᵨz{q⊤~JqWOO,ᓽ8f=qJq70O.ὃ8J1Oᦪᑡᨵ0Ḅ⚗ᔩIJ2O%1ḄᦪᑡᦪᑡIJ3O-ᦪᑡCᦪᑡḄᦪᑡᙠᔩIJ4OmᦪᑡlᦪᑡᔩIJ1O”ghi⚗j”“k⚗”mᦪq!{a,,}ᡂᦪᑡOᒹ=qJ஻eN+,q#0.)

38(2)◚8⚗xHOgwO(3)q=1
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