北师大版数学九年级下册全册导学案(全册)

北师大版数学九年级下册全册导学案(全册)

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时间:2023-06-28

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57ᓫᐗ¹ᔠ»ஹ⌱½⚪1.SLᦪ¿2c12-*dx+12,EX>1)yÒḼXḄÆᜧÆᜧEX<1)yÒḼXḄÆᜧÇᑣkḄÊnucdA.12B.11C.10D.92.ᑡÌLᦪ~ÍḄÊÒḼxÊḄÆᜧÇḄ8()B.y=">0)C.2A.y=2xy=x+1D.j^=x(x>0)X3.ßàSLᦪ¿|2+bxḄq±ávA(—1,1)>éijᨵcdA.ᨬÊ0B.ᨬᜧÊ1C.ᨬᜧÊ2D.ᨵᨬÊô4.ãᱥåæç2+ߟ+஺Ḅq±᝞qOA=OC,ᑣc)A.ac+\=bB.ab~\~l=cOC.bc+l=aD.|5I85.´SLᦪæ"2+ì+஺Ḅ⚔vᙠ±▲?ávc0,(—1,0),ᑣ5=஺+6+஺Ḅᓄó8()A.0\C.1

58A.8B.14C.8ᡈ14D.8ᡈ147.¢SLᦪy=3ý2Ḅq±ᔣÿ2ᓫᔣ1ᓫᡠᑮḄḄᦪᐵA.y=3x-2+lB.y=3x+22-lC.y=3x-2-lD.y=3x+2+l8.!ᱥ#$%“>0,*0&'Ḅ()A.*ஹஹ,▲B.*ஹஹ.▲C.*ஹ,ஹ.▲D.*ஹஹ,ஹ.▲.9.06<0,ᑣᦪy=x2+6x-lḄḄ⚔3ᙠA.5*▲B.5▲C.5,▲D.5.▲10.ᦪy=2/*24+66+/+62,89ᦪ%y:ᑮᨬ<=&,?Ḅ=8A,Ca+b-,—a-bA.a+bB.--------C.-labD.-------2211.%a>0,b<0,c>0&@ᑡᨵCD!ᱥ#$E+&c+cḄ12.FGx8H=ᦪIᦋ2+K+஺ᙠ0Ḅ=ឤᜧO0ḄᩩQA.a>0,A>0B.a>0,A<0C.a<0,A<0D.a<0A<09ஹRS⚪U13.᝞3"p,qᙠ!ᱥ#ஹ=/*1XM8ᙊZḄᙊ[x\]O4ஹ8^3,_/ஹ8^3Ḅ`ᙶ᪗ᐵOxḄcdf—2px+q=0Ḅ^᪷ᑣfḄghO.13⚪14.iXஹjzklᐵx—1=?=mᑣf+y+z?Ḅᨬ<=8.15.ᦪy=ax2d>lḄn^34ஹBḄ`ᙶ᪗ᑖp*1ஹ2,3஺ᙶ᪗q3,᝞rst஺8uv,vwᑣs0/8Ḅᕜg8.16.ᦪy=-4x2—2yr+“[z{|ᦪ᜛=஽Ḅnᙠ5▲ᑁḄ*]3XḄ`ᙶ᪗*2,ᑣmḄ=.17.ᦪy=x-l2+x—32,%=&ᦪ:ᑮᨬ<=.18.ᨵ*!ᱥ#w᫑ᐸᨬᜧ816m,840m,'Ḅᙠ☢uvᙶ᪗᝞4,!ᱥ#Ḅ᪆.19.᝞5,4ஹBஹCᦪIX2+bx+caḄn,3᪷Ḅ,3ḄC஻0,c0,s0.20.ὁ*ᦪᵬ.ᔜᢣ¢ᦪḄ*ឋ¤U

59ᵬUᦪḄnF()5,▲.UᦪḄn()5*▲.U%x<2&y©xḄªᜧ«¬<.U%x<2&y>0,¢.¯°±²³´᪀⌼kl°ᡠᨵឋ¤Ḅ*ᦪ.21.ᦪ$x2+bx+cḄn)3/(c,0),_ᐵOu#I2¼ᑣ¢ᦪḄ᪆CD.(½⌕ᑏ*CDḄ᪆)22.ÀÁÂÀ6ÃÄÅÆḄ6(m)[ÅÆḄ&É/(s)ËÉḄᦪᐵÄe/sina—5/,ᐸWÀÁÓÃḄÔÕaÀÁḄÓÃv%Ö=300sina='&ÀÁÅÆḄ2ᨬᜧ.23.!ᱥ#$*(x—Z.)(x—3—4)+£[!ᱥ#$(x—3)?+4ᐵOq3¼,ᑣL+k=.,ஹÝ⚪U23.ᦪIf+bx+cḄn[x\Ḅ^]3Ḅ`ᙶ᪗ᑖp8ᩎX2,*ᐗcdx2+/x+20=0Ḅ^â᪷8[ஹ?4_ᑗ*3=[**4=3,ᦪḄ᪆åᑏ⚔3ᙶ᪗.24.2000æçèéêëìíîᦋïᔆñÓNóôᵨîᐸᡂ÷ø8ùú2ûᐗᔆø8ùú2.4ûᐗæ├ýø810000ú2001æ8þÿᜧḄ᝱ᔆᢕ⍗ᐰ☢4ᵨḄᢈ!"#ᵨḄᡂ%&'(᳛*x,-ᔆ&'(᳛*0.75x,⚜34├6'(᳛*0.6x.(4ᑭ:=(-ᔆ&<ᡂ%&)x4├6!)(1)?20014Aᔆ├6/ᵨḄ4ᑭ:y(Eᐗ)GxHIḄJᦪᐵM.(2)ᔆ⌕O20014A├6PᵨḄ4ᑭ:Qᑮ4028Eᐗ4A/ᵨḄ4├6!TUVW#X25.᝞Zᨵ<\]ᱥ_`a᫑᫑c☢ᙠefghUABi20m,ghkᓣ3mnQᑮoᡄ_CD,qUg☢iA*10m.(1)ᙠ᝞ZḄᙶ᪗Mt?]ᱥ_Ḅu᪆w.(2)xygᑮᩭ{gh|"}{0.2mḄ~Akᓣoᡄ_ᢝVW}{ᑮa᫑⚔X

6026.ᙠtᵫPᵨᑷ⌕ᔣ<ᡃq*“ᑷ”ᑷUᑖ᪆ᦑḄ<¡⌕¢£ᙠ<▲~40¥¦/{§ᑁḄ©⍝kᵬஹ§®ᔣ¯°±²³´µ{ᑷ¶U®·¸°¹3!ᵬḄᑷ*12m,§Ḅᑷº»10m,¶}20m,¼ᨵᐵ½ᧇ¿ᵬÀḄᑷStÂmÃG~x¯/{ÃHIᨵcᑡᐵMSuZ.lx+O.Olf,§ÀḄᑷ“ÂmÃG~x¯/{ÃḄᐵM᝞cZ⊤ÌÍÎnḄ~AÏ☢ᑖ᪆®·ḄТ.27.ᦋ☩Ó|ᩭÔ╋Ö»VÀ⌶ØᙢÏÚÛ19954╋4ÝÞßàá*2âᐗ᪷ä3å╋ÝÞßàßá*5âᐗ{æQᑮ}çgè.Â1Ãx19964╋ÝÞßàá"4ék<4'¦0.6âᐗ╋Ö»ê4æQᑮ}çgèXÂ2Ã|20014*ë<4╋ëx4ḄÝÞßàá*yâᐗyGxHIḄᐵMUI7y=-x2+-x+5Âx>0Ã╋î<4ḄÝÞßàáæᙠ19954ḄïẠkñòÂᓽQᑮ1995934Ḅ4ÝÞßàáḄ4ôÃX28.õ¿ö÷øJᦪy=-/+gx+cGxüýþ¦Âÿ0Nlx,0y2H.

61(1)NHMO=45஺,NMHN=105஺m,ᦪ᪆(2)ᐸ+=1°(6,c)ᙠ$%y=gx+g()*+ᦪy=-/+gx+cḄ᪆.29.12ᦪ34ax2+6x+c(60)789:(—1,2)<஺(2,4).(1)?@ABaCDEFᦪ)Gᱥ%Ḅ78xḄᙠIJKḄ78xᨵM/ஹB(/ᙠ8P)yC,RS-T=1,Gᱥ%᪆BOAO(2)Mᙠ(1)VᡠḄᦪ78(XYZᔲ6ᙠ\6ᙠ]MḄᙶ᪗`6ᙠab@ᳮᵫ.efgᙊᓫᐗklᙊZmnopVḄḄnq7rs4tZu☢wEVḄxy7rygzẆ|}ᙊᨵᐵḄ4xyឋ.ḄẆ|}ᙊḄᭆஹឋᙊஹ$%ᙊஹᙊᙊḄᐵ4ᙊᨵᐵḄ⚪.ygḄ2᪀7

621Cᡂᙊr᪗1ஹᔊrᡂᙊḄᭆḄ9ᔊᙊᐵḄ9ᳮᙊḄᭆᳮᙊḄᐵ.2ஹ¡¢ᙊᐸᨵᐵᭆᙊḄᐵ.3ஹ£ᵨ¥ᔠḄ§¨©ᙊ.xẠ9ᐵ1.QOḄ$«C10cm,஺஺ᡠᙠḄu☢ᑁᨵ4P,PO),Pᙠ஺஺(;PO):ᙠ஺஺ᑁ:O)Pᙠ஺஺᜜.2.12஺஺Ḅᕜ°C8±cm,:O=2cm,ᑣPᙠPO=4cm,ᑣ:ᙠ:O=6cm,ᑣPᙠ.3.u☢(ᨵ48,%³48Ḅ°C3cm,ᑣ/Cᙊ´98ḄᙊḄ☢µC.4./Ḅᙶ᪗C¶3,0,3Ḅᙶ᪗C¶0,4,ᑣ8ᙠ/Cᙊ´6C·«ḄᙊḄ.5.ᙠ·«C5cmḄ஺஺(ᨵ4-P,ᑣOPḄ°C.6.ᙠVZC=90°,AC=BC=4cm,஺ZZBḄVCCᙊ´4cm°C·«¸ᙊ¹ij/ஹBஹCஹ஺ºVᙠᙊᑁḄᨵ¶A.4MB.3MC.2MD.1M7.ᙊ´Ḅ»¼`ᜧ·«Ḅᡠ¾ᡂḄ7rZ¶A.ᙊḄ᜜¿¶ᒹÁÂÃB.ᙊḄᑁ¿¶`ᒹÁÂÃC.ᙊD.ᙊḄᑁ¿¶ᒹÁÂÃ8.12஺஺Ḅ·«C6cm,PC%³04ḄV:ᙠ஺஺(ᑣ04Ḅ°¶A.Ä6cmB.Ä12cmC.Å6cmD.ᜧ12cm9.஺஺Ḅ·«C5,ᙊ´஺Ḅᙶ᪗C¶0,0,:Ḅᙶ᪗C¶4,2,ᑣP஺OḄᐵZ¶A.:ᙠ஺஺ᑁB.PḄ஺஺(C.:ᙠ᜜D.Pᙠ஺஺(ᡈ஺஺᜜10.᝞7Oᑮ$%Ḅ»¼C8cm,Cஹ஺Éᙠ$%(AD=6cm.CD=2cm,AB=5cm.OCᙊ´10cmC·«¸ᙊaᑨË4ஹBஹCஹ஺º஺஺Ḅᐵ.B᜛DC011.Í%³/8=4cm,¸7b@ᑮ/Ḅ»¼ᜧ3cm,Rᑮ8Ḅ»¼Å2cmḄᡠᨵ¾ᡂḄ7r.

6312.¸7b@ᑮOḄ»¼ᜧ2cmÏÅ3cmḄᡠᨵ¾ᡂḄ7r.ÑÒÓᓣ13.᝞7PḄᙶ᪗C¶4,0,஺:Ḅ·«C5,R஺:x/ஹB,yCஹD,a]“ஹBஹa஺Ḅᙶ᪗.14.᝞7ØrVÙÚ%/Cஹ8஺Û஺aZᔲ6ᙠ4Mᙊ\/ஹBஹCஹ஺ºMÉᙠÜMᙊ(?᝞Þ6ᙠßᢣ]ÜMᙊḄᙊ´<·«᝞Þ`6ᙠb@ᳮᵫ.15.áâ(ãḼ4BஹCfåæ12A8Ḅ»¼C5èBஹCḄ»¼3èaᑏ]ÅCåæs껼Ḅëìî.

64ïðᡂᛞ᝞7஺஺Ḅ·«C2.5,YPᑮò஺Ḅ»¼C2,Y஺ᑮ:Ḅ»¼C1,ᑣPஹQ஺஺ᨵEᐵ?b@ᳮᵫ.2ᙊḄÙóឋ᪗1ஹᔊᙊḄÙóឋÛᐵឋḄ9.ᳮᙊḄÙóឋÛᐵ2.ᳮô¡¢ᚖ«òᳮ.2ஹ¡¢ᚖ«òᳮᐸöᵨ.3ஹ“ᙊ´Úஹ÷ஹøsêᐵòᳮ‘'VḄ"ᙠåᙊᡈÄᙊ”ᩩþḄᳮòᳮḄ?@.xẠ9ᐵ1.ᙊÿḄ—.2.஺஺ḄR,ḄR,ᑣN4O8Ḅᦪ.3.ᙊḄᩩᙊᑖ51!"ᑖ᝞$ᙊḄ2cm,ᑣ%ᩩḄcm.4.&஺஺OCLᨴ8(C,48=8,0C=3,ᑣ஺OḄ)(.5.᝞஺஺Ḅ*10,48=8,P+Ḅ,-./0஺1Ḅ235.

655⚪6⚪7⚪6.᝞ᨵᙊ89᫑9Ḅ;N3=16m,9

66(.Zᑨ\hiO/C8ḄjY^_ᳮᵫ.C15.᝞஺஺Ḅ*,P+.,Cஹ஺ᑖ=ᙊ+Ḅ.I18,DB=BC,ZlmnoPCஹPOḄᜧBᐵD.pqrᓣ16.5cmḄ஺஺!ᩩtuḄᑖ=6cmv8cm.ᑣ%!ᩩḄwxyz?17.ᙠ5cmḄ஺OoABḄ)(6cm,o4BḄ!,|.4ஹ8ᙠ஺஺+}-N}-V~48ḄO^_Ḅ.Cᙠ}V~ᡠVḄn0.

67ᡂᛞ᝞./ᙊ+Ḅ)ᑖ.BRANḄ.P*+-..஺஺ḄZ1,Pᙠ*nMV+0q1+81Ḅ3ᨬB?Ye/P+81ḄᨬB3.3ᙊᕜMvᙊMḄᐵD᪗1ஹᳮᙊᕜMḄᭆᙊᕜMḄ!,ᱯஹᳮḄᑁᓫ¢ᵨ.2ஹ¤¥¦§¨©ª«ஹᑖ᪆ஹ®ஹ¯°v±²³ᳮḄpq.3ஹ´µᵫ“ᱯ·ᑮ¹”ᵫ“¹ᑮᱯ·”Ḅᦪ¨»¼½.¾ẠVᐵ1.᝞)iM48CḄ,⚔.Áᙠ஺஺+஺/C+Â.N@1ஹCÃᔠOᑣZADCḄᦪ.1⚪2⚪3⚪2.᝞hi/8C஺Ḅh,⚔.Áᙠ஺஺+SLAD//BC,Mn/C@8cGg(.E,/0ᨵᐰ)MÆGÇl)(1ḄGÇM.3.᝞/8/CḄMNB/Z>100஺ᑣN80C=.4.᝞A.BஹC஺஺+.KNO/8=46஺ÈIj//C8=.

685.᝞஺஺Ḅ*BC=BD,ZJ=25°,ᑣ/8O஺Ḅᦪ6.᝞ABᙊOḄ*,AC=AD,0C=2,NCAB=30°,ᑣ.஺ᑮCDḄwxOE=7.᝞ᙊM/BOC=100஺ᑣᙊᕜMḄᦪNO8.᝞AஹBஹCஹ஺h,.ᙠÉ,ᙊ+hi/BCDḄMnh,ᑁMᑖᡂḄÊ,MG)ḄMᨵNOA.2B.3C.4D.59.᝞஺4CḄ.ᑣ@G)ḄMḄ,ᦪNOA.4,B.3,C.2,D.1,10.᝞ZAOB=}00°,ᑣNZ+NB)(NOA.100°B.80°C.50°D.40°11.ᙠRḄᙊᨵᩩHḄᑣËᡠḄᙊᕜMḄᦪNOA.30°B.30°ᡈ150°C.60°D.60°ᡈ120°12.᝞A,BஹC.Áᙠ஺஺+.஺Ín+.ZAOC=140°,ZCBDḄᦪNOA.40°B.50°C.70°D.110°13.᝞஺஺Ḅ*/8=8cm,NCBD=30°,eOCḄ.14.᝞AஹBஹCஹ஺h.Áᙠ஺஺+4஺஺஺Ḅ*I4=6cm,NABC=NCAD,eZCḄ.

69Apqrᓣ15.᝞ᙊ஺Ḅ*BCGg(.1KCD=3,AB=4,etanNBPZḄ3.16.᝞ᙠ஺஺*8AB±CD.1Ï஺4஺+.N@Cஹ஺ÃᔠOZᑨ\/CP஺@NCO8ḄᜧBᐵDY^_ᳮᵫ.2.PᙠÐ88+N@Cஹ஺ÃᔠO/CP஺@NC08ᨵ0ᦪ]ᐵD?Ñ_ÒḄÓÔ.17.ÕdÖ×ᵨᙊØÙ¼ÚÛÜ⌕Ùi஺Ḅ¼ÚÛÞᧇàz⌕ᵨ*yᜧḄᙊØá

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