华师大九年级上册全册练习册

华师大九年级上册全册练习册

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时间:2023-06-28

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22᪷21.1᪷ᙠ“ᦪḄ”ᡃ“(a20)”!,#$%&'⊤)*+ᦪaḄ,-.᪷.ᙠ/0,ᨵ2ᜧ45:a'O.ᡃ9:᝞(a>0)Ḅ/=>᪷.?ᯠ(a>0)ᨵAᩩឋDEপGa20,20;(2)Ga20(T=a.2ஹLM⚪1.OP᪷,ᑣxḄSTVPWOXP᪷,ᑣaḄSTVP•2.᝞Z()Jx-4,ᑣxḄSTVP,,x-=.ஹ⌱_⚪1.`.ᑡᔜ:(b<2),,,.ᐸ0ᡠᨵḄghi⊤)jᦪkl᪷ḄᦪP().A.2B.3C.4D.52.᝞Z=-a,klaḄSTVP().A.a>0B.a<0C.a>0D.aWO3./ᨵtuᑣxḄSTVP().A.xWOB.x#TC.x<0$xWTD.xWO$xWTwஹ&x⚪1.yz{ᑡᔜᨵtuḄxḄSTVE(1)+W(2)-:(3);(4).2.y{ᑡᔜḄT:(1)-W(2)-.3.G-10W1},{ᑡᔜ⚪:(1);(2).

11.~y=+l,yx=xy+yZḄT.2.Ga=5ᵬஹA},a+ḄTᑮXḄxᫀ.ᵬḄ&xEa+=a+=a+aT=2aT=9.Ḅ&xEa+=a+=a+(l-a)=l.&xPḄ?┯Ḅ&x┯ᙠ?l3.:S2xḄT,ᑖᐭ,-},¡¢£'¤¥Ḅᜧ¦ᐵ¨ᔩ?ᵨᡈJ”!,¬,-®¯°ᩭ22.2᪷Ḅ²◀´᪷jDµ¶P·¸,ᑮḄjᦪ,¹º'»4Ḅ᦮ᦪஹᑖᦪஹᨵᳮᦪ2᪵,¿À»¸,.Á⁚ᐜ᪷Ḅ²◀¸,,ᒹÅw☢ḄᑁÈE(1)²´E•=.᪷É᪷Ḅtu,ʸ,Ḅ45ËÌP⌕ᨵtu,¹ºËÌᐜÎÏᩩÐa20b20;(2)ÑḄ,-.᪷:=•,ÒាÔ²´¸,Õ⌮,¹×ËÌ⌕ØÙ⌕ᨵtu,ᡠ»¿ËÌÎÏᩩÐaÚ0bÚ0;(3)◀´:=(a0,b>0).Û²´2᪵,a00b00Pʸ,ḄᐜÜᩩÐ.ᨵ%ឋD¶À»᪷ÝÞḄ},ᓄà%.á᜜ÎÏ”জäᦪ0Xåᑖh;ঝäᦪ0ᡠᨵ¹ḄçḄᢣᦪi¦é2.”AᩩÐḄ᪷ê“ᨬà᪷”.᪷Ḅ¸,ìZ,2íi⌕ᓄᡂᨬà᪷.ஹLM⚪l.=X=2.==.3.2X3=(2X3)X=.4.ð:Ḅðñᑣ☢Ñ2

2ஹ⌱_⚪1.{☢ò,0óôḄP().A.()X()=B.=64C.=8D.=±82.᝞Z•=klxḄSTVP().A.x=lB.x^lC.x>lD.x>-l3.᝞Zx<0,y<0,k•ḄìZP().A.xyB.-xyC.xy2D.-xy2wஹ&x⚪1.},E(l)X;(2)5X;বX;(4)X(-2)(a>0).2.প~bVaJb,ᓄàX;(2)Ga=2,b=-,yaX(+)XḄT.3.RtAABC0Aᩩýþÿᑖa,b,c.(1)a=,b=,ZkABCḄ☢S;(2)a=7,c=10,b.L!"(1)(2-3)X(-);(2)(2+3)(2-3).2.'(3)2Ḅᜧ+.'(,-./᪷1Ḅᜧ+,᝞3,-./᪷14ᜧ56,ᑣ89ᐜ'(;<Ḅ=>Ḅᜧ+.ᓽ,@5,-./᪷1AAB,᝞3A>0,B>0,ᑣᵫA2>B2,8DA>B.3.ᙠ᝞F22-1ḄGHᜐJᦪLMNOPஹNOᑡஹNOᩩ@TUVḄW-ᦪḄX4Y1.3

3F22-1(-)XINNTLᝍ]^_OஹJG⚪1.a=•,ᑣaḄcdfY.2.ax<0,y<0,ᑣjᦪ1=.3.ab<0,ᑣjᦪ1ᓄlmḄn3Y______..ஹ⌱q⚪1.rm<0,n>0u,av᪷1mwḄmxy᪷zᑁLᑣn3|().A.B.}~C.D.-2.᝞3=-a,ᦪaḄcdfY().A.a<-lB.a>0C.0b>0).3.WT¤ḄOᩩ¥,ᩩVḄ¦2,-WT¤Ḅ☢.4.x+y=19,x-y=3,Ḅd.1.᝞3+=2,xḄcdfY().A.TWxWlB.xWTC.x¨lD.x=02.©a,b,cAABCWḄ¥,ᓄl:++-.4

43.ªd,'(4-)3Ḅᜧ+.«¬:'(;<Ḅ=>Ḅᜧ+®4.¯°±ᵨV⚪³ᵨḄ>´µ=ᔩ?(W)OஹJG⚪1.=,-T-.2.ax>0,y>0,¸IJ•.,3.vᑡᔜ1Ḅᑖᨵᳮᓄ,D.ஹ⌱q⚪1.1=ᡂ¼Ḅᩩ½Y«®.A.x^-1B.xN2C.xு2D.xe-lÀxW22.aa>0,ᑣᓄlabḄn3Y().A.B.C.D.Wஹ⚪1.!"(l)4-(X);(2)4-X;(3)+;(4)•4-(x>y);(5);(6)5x-v-3X(X>0,y>0).2.ᓄlᑡᔜ1:(l)-(-3WxW5);(2)(0

51.᝞3=LyḄcdfY«®.A.y>B.yᦪÑᐰÓÔḄ./᪷1ÕÔÖ./᪷1../᪷1ḄËஹ̱!,▭VY⌕,½Ø"«1®ᙠ±!ÙÚw,vÓ|Ḅᔜ⚗ᓄᨬl./᪷1«ᡈὅY᦮1ஹᑖ1®;«2®ᔠÞÔÖ./᪷1.ஹJG⚪1.ᑏÈ3-./᪷1LM;<)4YÔÖ./᪷1:.2.a=+,b=-,¸Uazb-ab2ḄdY.3.aᓄlmḄ./᪷1AYÔÖ./᪷1,ᑣx=..ஹ⌱q⚪1.ᑡ᪷1w,)YÔÖ./᪷1ḄY«®.A.B.C.-D.2.ᑡᔜ⚪w,ᔠÞÔÖ./᪷1âãḄY«®.A.10-8=2B.+=5C.a-b=a-bD.+8=5Wஹ⚪L!"(D-+21;(2)+2+-;(3)-+2-;(4)(5-)-.6

62.ᓄlmḄ./᪷1,)YÔÖ../᪷1,X,yḄd.1.ῪWT¤,¥ᑖY2A3,-ῪWT¤Ḅᕜ¥ç☢.2.!"প(-+)(+-)(2)(+A(-)2.3.©éTWT¤Ḅ,ᩩéTᑖa,b,c.(1)c=n,b=n,a;(2)a=m,b=m,c)cVḄ¦h.1.êëì᪷1wíÈOî>ᦪëwⅾðḼòóḄôõ>.ö÷øᐜùúûᢣÈ:ᗐ5“⌨”ᙢ“⌨”⌨ᑮᨬᜫ⌕ឋḄᙢ,ᦪḄ.ᨵ!"ᩖḄ$⚪,᝞'ᡃ)*“⌨”ᑮᨬ+ᓫḄ-./01Ẇ3,44*56ᙢ7ᑮ89$⚪Ḅ:;⌶=.᪵Ḅ?@ᙠᦪBCCḆ,EᙠFᐵH᪷JḄ?@.$⚪KLn:᦮ᦪNOP⍝Ḅ᦮ᦪRᑖTUᔩWᡃ)ᐜY$⚪⌨ᑮᨬ+ᓫḄ-..HZᑮ1«2,2«3,3«4,.......᪵O[\]^E:n«n+l.^E:;ᔩWLᯠa◤⌕01cdK7

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8A.B.C.D.10.vᑡmJ*ᡂḄ().A.+=B.-=(a>b)C.=a-b(a>b)D.•=(a20,b20)11.vᑡñJ@K(l)=a+b(a+b>0);(2)=(-2ô¯(3)=3.14-JT;(4)=x-l.ᐸB┯ûḄJ@().A.(1)ஹ(2)B.(2)ஹ(3)C.বஹ(4)D.ᐰ┯12.᝞'|xI<1,-Ḅ().A.2x-lB.3C.l-2xD.-313.TWxWl,ᙠᦪᑁᨵ!Ḅ"#().A.B.C.D.14.%(a-b)ᓄᡂᨬ+,-᪷"/0123Ḅ45().A.B.C.-D.-15.᝞1xீ2,ᓄ++|3-x|Ḅ2301().A._1B.1C.2x_5D.5_2x16.=>(-1)(+1)2Ḅ01().A.+1B,3(+1)C.1D.-117.@2bD.a19.2-3+.20.-(-).21.X40X.22.+X.23.(3-4)(2+3).24.(-+)(—).QஹRSᑡᔜ"Ḅ25.x3-xy2,ᐸXx=+l,y=T.26.a2b+2ab+5b,ᐸXa=2~,b=.9

9YஹZ[⚪27.]^_`ab]^2`aḄ☢deC,@_`aḄ_54cm,h53cm,R2`aḄi_.28.jk-Ḅᨵᳮᦪ.Bᔁ29.nᦪ"++Ḅᨬopq.A.0B.1+C.1D.rsᙠ30.tuᱥwxyz5hmḄyᜐ}ᵫSᡠ◤⌕Ḅt=psq.᪷"=>p1qh=20m,ᡠ◤⌕Ḅp2qh=30m,ᡠ◤⌕Ḅ.p3ᑮ0.01sq31.@Ḅ᦮ᦪᑖ5a,oᦪᑖ5b,R2a?+pl+qabḄ.32.ZSᑡ`()(1)(-1)(-4)x=-2(x+l);᪗ᓫᐗ•ᦪ••¡¢£¤ᨔJᑡ¦23§]ᐗ,-`23.1]ᐗ,-`¨©ᨵ]^ªuᦪ,«¬ªuᦪḄᨬy-ᦪ2Ḅ᦮"`®]ᐗ,-`.]ᐗ,-`Ḅ]¯a"ax2+bx+c=0pa^0,a,b,ctuᦪq/ᐸXa,b,cᑖ±®,-⚗Jᦪஹ]-⚗Jᦪb³ᦪ⚗.´]ᐗ,-`µ¶·ieCḄªuᦪḄ®]ᐗ,-`ḄZ.10

101.`(x+1)(x-D=-x+2ᓄ5]¯a"/,-⚗Jᦪ,]-⚗Jᦪ³ᦪ⚗2.@¸DxḄ`(m-l)x2+2xT=0]ᐗ,-`,ᑣm.3.ᐵDxḄ`x2+ax+c=0Ḅ]^᪷51,ᑣa+c=.4.tu2+ᐵDxḄ`x2-4x+c=0Ḅ]^᪷,ᑣcḄ.,ஹ⌱»⚪1.¼DSᑡ`:জ3x?-7=0;ঝax?+bx+c=O;ঞ(x+3)(x-2)=x?T;ট3xJ+b=0;ঠx?=0.ᐸX,]ᐗ,-`Ḅ^ᦪ5().A.2^B.3^C.4^D.5^2.@]ᐗ,-`ax2+bx+c=0ᨵ]^᪷5T,ᑣSᑡᔜ"XÅÆᡂÇḄ().A.a+b+c=OB.a-b+c=OC.-a-b+c=OD.-a+b+c=03.@ax2-3x+2=0]ᐗ,-`,ᑣrC"2a+4ு0ḄZÉ().A.a>-2B.a<-2C.a>-D.Ê¡[ᫀÌr¼LஹZ[⚪1.ÍSᑡ`ᓄ5ax2+bx+c=0(aW0)Ḅa"(l)3x2=5x+2;(2)(2x-l)(3x+2)=3;(3)(x+1)(x-2)=2;(4)x2-2x=-2x+l.2.ᑨÏx=3,-3,1,-1ᔲ5`x(x+1)=3(x+1)ḄZ.3.᪷⚪,ᑡÑ`(rÒRZ).]ᙽ_36Ô,h24ÔḄÕa₝ᙢ/Øᙠ⌕ᙠ₝ᙢḄXÙÚÛ]^ÕaܤÝ/ᕜḄ₝ᙢᶇàáᙢ,QᕜáᙢḄhzeC,¬Ü¤ÝḄ☢dâᩭÕa₝ᙢ☢dḄ,RᕜáᙢḄhz.tu`x-ax-b=oḄ·.᪷5X1=a,X2=B,åSça+B,Sça2+p2,•é•,S„=a"+(3"(nGN*),RSn*i-aS,-bSn-iḄ.H`᪷ᨵᐵḄñ⚪òᑭᵨ᪷Ḅõ!,öᑮC",ᯠø᪷eᐵḄC"ùᐸúaZ⚪.o┶ü23.2]ᐗ,-`ḄZý11

1109]ᐗ,-`ᨵÊSQþÿ:ஹᑖஹஹ.ᐗaxஹbx+c=OaWOḄ᪷"xEb—lac&஺.ᐗ(⌕᪷*ᱯ,⌱.ា0Ḅ.ஹ12⚪1.(x+1)(x-2)=oḄ".2.(x-l)JlḄ".3.(x+1)(xT)=15Ḅ".4.x2-=0Ḅ".ஹ⌱.⚪1.x?=0.81Ḅ"().A.0.9B,-0.9C.±9D.±0.92.JᑡL,MNᵨḄ"().A.4(X+2)2=-8B.(x+3)2=10C.(x+5)2+0.1=0D.x2=a3.ax?=cᨵRᦪ᪷ḄᩩU"().A.aWOB.acWOC.ac>0D.204.W(m+2)x-+3mx+l=0"ᐵZxḄᐗ,ᑣ().A.m=±2B.m=2C.m=-2D.mW±2\ஹ]⚪LJᑡ_(1)3X2=27;(2)(x-2)(x+2)=12;(3)(x-l)2=5;(4)2(x+1)\8;(5)(2x-l)2=(x-2)2.2.xbcde(,fᦪ2x-lg2x+lḄehi᎔ᦪ?_3x-5z=a.()12

12ஹ12⚪1.3x(x-2)=2(x-2)Ḅ".2.(x+3)(x-l)=x+3Ḅ".3.(X+2)2=X+2Ḅ".ஹ⌱.⚪1.(x-l)Jx-lḄ"().A.1B,1,2C.2D.-1,-22.(x-l)2=(x-l)Ḅ"().A.x=lB.x=C.xi=l,xa=D.mnopq3.x2-a2=(x-a)2(aWO)Ḅ"().A.aB.1C.0D.-1\ஹ]⚪1.Jᑡ_(l)x-3x=0;(2)5x2=-2x;(3)3x(x+2)-x=2;(4)3x(x+2)=5x+10.2.0yise(,fᦪ(yT)2gfᦪ2y(l-y)2Ḅetu?3.0fᦪx2+4x-2Ḅei3(,fᦪ2x?+8x-5Ḅe.vᑖwᑏyzᐗ{|}Ḅ~᪷ᑖwJᑡᩩU:(1)᪷"0,᪷"ᦪ(2)᪷"ᦪ,᪷ᙠ1g2.ಖஹ12⚪1.ᙠᑁ1n〉0Ḅᦪ,|ᡠḄfᦪᡂizᐰ:(l)a2-12a+();(2)4x?+4x+();(3)x2+()x+9;(4)4y2-()y+25.2.0nr(,fᦪx2+mx+16"zᐰ.3.0x=(,fᦪx2-8x+12Ḅe"-4.13

13ஹ⌱.⚪1.ᵨJᑡ(,ᨵ┯Ḅ"().A.x-2x-99=0ᓄi(x-l)2=100B.x2+8x+9=0ᓄi(x+4)2=25C.2t-7t-4=0ᓄi=D.3x-4x-2=0ᓄi=2.y2-6y+7=0Ḅᡂzᐰ,().A.(y+3)J2B.(y+3)2=9C.(y-3)?=2D.(y-3)2=-73.ᵨx2+px+q=0(xiᦪ){¡¢£i().A.=B.=C.=D.4.qZ¤¥Rᦪx,¦⚗x2-5x+7Ḅe"z().A.ᦪB.¨ᦪC.ᦪD.©ªMஹḄᦪ\ஹ]⚪1.ᵨ_(l)2x-3x+l=0;(2)X2+4X-2=0;(3)x2-2x+3=0;(4)x2-x-l=0.2.ᵨ«¬x2-4x+7ḄepZ3.3.W={vᵨḄe.v«¬:p®X,ybse{fᦪ4x2+y2-4x+6y+llḄe¯"ᦪ.°y0x,yᑖwbse(,±zfᦪḄᨬe.ᐗ(,W³´L⚗µᦪi1,⚗µᦪiᏔᦪ,ᵨ·¸¹.┶»()ᓅ'᜛៝ÀÁÂஹ12⚪1.ᐗax2+bx+c=0(a^0)Ḅ᪷"14

142.Wfᦪ(x+3)(x-1)Ḅe"5,ᑣx=.3.0x=(,gÄ"ᨬ¸᪷Å"ÆÇ᪷.ஹ⌱.⚪1.x?+l=OḄ"().A.-B.C.±D.©Rᦪ2.Wm"ᐵZxḄx2+nx+m=0Ḅ᪷,ÈmWO,ᑣm+nuZ().A.-lB.1C.-D.\ஹ]⚪1.ᵨJᑡᐗ_(l)2x2-3=4x;(2)xM(x-l).2.ᵨ〉0ḄJᑡ_(l)3(x+2)2=27;(2)(3y-l)2=2(3y-l).3.Êa,b,cᙳiRᦪ,È+|b+l|+(c+3)W),ax2+bx+c=0Ḅ᪷.30Êa=,-+a+4Ḅe.ಘஹ12⚪1.Wy=x2-2x-15L{y=O,ÎijxḄei.2.Wyi=x2-2x-3,y=x-5,Îij0xḄei(,yky*23.Ê(x'+y?)(/-1+/=12,ᑣx2+y2=.4.Ê3x'-xy-4y-0(x^y),ᑣ=.ஹ⌱.⚪1.Ê~zpÆḄx2+kx+l-0Óx2-x-k=0ᨵztÆḄ᪷,ᑣkḄe"().A.-lB.OC.2Ô.2ᡈ-12.ᐗx2-3x+=0Ḅ᪷ḄÖ×"().A.ᨵ~zptuḄRᦪ᪷B.ᨵ~ztuḄRᦪ᪷C.ØᨵRᦪ᪷D.pNªM3.2(5x-l)2=3(5x-l),ᨬ〉0ḄÙ"().A.B.C.D.ᑖ15

154.Úa"x2+5x=0·ᜧḄ᪷,b"x2-3x+2=0·Ḅ᪷,Üda+bḄei().A.-4B.-3C.1D.2\ஹ]⚪LᐵZxḄ_(l)mx2+(m-n)x-n=O(mWO);(2)(x-a)2=.2.ÊÝÔa2+b22—a2+b2—6=0,a2+b2Ḅe.3.ÊRᦪx,y2-3X+2+y-2y+l=0,x+yḄe.▅ßᩞᧇ,]â⚪.ᩞᧇ:i஽-1)2-5(x'T)+4=0,ᡃå¡mæ஽-1)çiz᦮é,ᯠëÚx2-l=y,ᑣ(x2-l)2=yì¡ᓄiy2-5y+4=0....জ,yi=l,y=4.20y=l(,x2-l=l,x2=2,ᡠmx=±;0y=4(,X2-1=4,X2=5,ᡠmx=±.ᡠmìḄiXi=,X2==X3=,XF-.]â⚪_প12:ᙠᵫìᑮজḄñL,ᑭᵨ,óᑮôõḄöḄ,é´ôḄᦪ÷øù.(2):x'-x2-6=0.ஹ12⚪1.úûüᵯþñ~õÿ36%,ᙳḄᑖ᳛.2.ᔆḄḄ!21%,ᙳ#!Ḅᑖ᳛$.%ஹ⌱(⚪1.⛴ᧇᔆ,ᨴ./⛴ᧇ500t,ᨴ./⛴ᧇ720t,4%ஹᨴ.56ᨴᙳᨴḄ!᳛$x,ᑣ9ᑡ;<=>?Ḅ().A.500(l+2x)=720B.500(1+x)=720C.500(1+x)2=720D.720(1+x)2=50016

162.IᘤKLMN⏀P25L,᎔S4TᓣVᵨXYM,%Z᎔S[\ᓣᦪḄ⏀P^_`aIᘤKbᒕ916LN⏀P᎔SḄᓣᦪde.A.3B.4C.5D.6ஹgh⚪1.ijklmᑜopᐳrstk122u%,ᐸ=ᨴ.rstk32uw,%ஹᨴ.ᙳᨴrstkḄ!᳛[\,x%ஹᨴ.ᔜrstkz{uw.2.ᵯᾯ~2006Ḅᔜ⚗⃩ᦈᐭ=,⃩ᵯᾯḄᦈᐭ$600uᐗᓰᐰ⃩ᦈᐭḄ40%.~⚜m2008⃩ᦈᐭ⌕ᑮ2160uᐗ,mᑜ2006ᑮ2008,⃩ᦈᐭḄ!᳛[\2007⚜m⃩ᦈᐭ$z{uᐗ3.ᙢᨴ.ᦈᐭ430uᐗ,ᐺឋ¡¢£¤¥,¦ᨴ.ᦈᐭ§$ᨴ.ᦈᐭḄ5%.¨ᨴ.©ªᨵᡠᓣ,®ᨴ.Ḅ!᳛Z¨ᨴ.Y1¯ᦈᐭᑮ240uᐗx¨ᨴஹ®ᨴ56ᨴᦈᐭḄ!᳛.d°±ᵨm²ᘤ³sm²P?ᑮ1%eK´µ¶Ḅklὁ¸¹ᢇr»¼½¾¿tk,½kᵨ¹100ᐗ,ᢥkÁ2.8ᐗ├Ã,ÄÅÃÆ.ᵫÈkᵹ├,%½ka,ÊkḄᢇrËÌ0.5ᐗ,ᐳᵨ¹150Í,ᡠ½kᦪz10Ê,Î`ᢇkÃSaSÏÐ├,ѱÁḄ5ᢚÃÆᒕÓḄtk.Ôὁ¸%ÃkÕÖ×ØÖdÙὃ⇋ᐸÜÝe4ÕÖ,Õz{?4ØÖ,Øz{d®eஹßà⚪1.⌕ᵨᩩ!24cmḄäåæᡂ6èé!$10cmḄêëëì,ᑣ5ᩩêëé!$.2.ᨵí!20m,î$15mḄïðñ,ᙠóḄ=íôᙽᙢöᙢöḄ☢øïðñḄùᕜûôᙢöüᑖᶇSḄîp[\ᑣᶇSḄîp$.%ஹ⌱(⚪1.>þìḄäᱏᓃ2cmḄᩩ,Ḅ☢48cmᑣᩭḄᱏḄ☢.A.8cm2B.32cm2C.16cm2D.64cm22.ᑭᵨᛋ,ᜋ./ᵨ13mḄ01,ᙠᐸ45☢,,ᡂ•☢20mḄ,9:Ḅ;.<=xm,ᑣ?@A.A.x13-x=20B.x•=20C.x=20D.x,=2017

17D23-15ஹFG⚪1.᝞D23-1,ᙠ32m,20mḄJ὏ᙢM.NOP᪵Ḅ5ᩩ⍝S(UᩩVJḄWXY,ᩩVWXY).[὏ᙢᑖᡂᜧ^_`Ḅaᙽᵨcdeᵪ,⌕hieᵪ☢570m2,⍝SḄlmno—12ml.D23-22.᝞D23-2ᡠs,ᨵ☢150mḄuv,uvḄW☠ᜋ,ᜋ18m,ᜋx☢ᨵ2mḄy.◀y᜜|ᵨ}~,ᡂ,~33m,9uvḄ;ᔜmn.3.JABCD.PAABᔣB2cmḄ.QBBCᔣC1cmḄ,AB=6cm,BC=4cm.

18ஹÓÔ⚪L-•ᐗ¸¹Ax2-2x-3=0ḄU᪷Xi,x,Öijxi+x=,xix=.2222.<Ax2-(m+2)x+4=0ᨵUÒ`Ḅdᦪ᪷,ᑣm=.3.ØÙᐵ¬xḄAx2-2x+k=0ᨵdᦪ᪷,ᑣkḄÜÝ,.4.ØÙa;BA2X2+3X-4=0ḄUdᦪ᪷,Öa+aB+BḄÝ.¸ஹ⌱à⚪1.ØÙX”âAx.3x=4ḄU᪷.ᑣ().A.XI+X=-3,XIX2=-4B.XI+X=3,XIX=4222C.XI+X2=-3,X1X2=4D.X]^"X2=3,XIX2=-42.ØÙa,Båæa+B=5,aP=6,ᑣa,BU᪷Ḅᐗ¸¹A.A.x2+5x+6=0B.x2-5x+6=0C.x-5x-6=0D.x2+5x-6=03.᝞x,,xzU_Ò`Ḅdᦪ,çåæ-2x,=l,-2x2=1,èéxixz`¬.A.2B.-2C.1D.-l5ஹFG⚪1.ØÙᐵ¬xḄᐗ¸¹Ax2+x+2k-l=0ᨵdᦪ᪷,9kḄÜÝ,.2.<ᐗ¸¹Akx2-x+4=0ᨵU_Ò`Ḅdᦪ᪷,9kḄÜÝ,.3.ØÙᐵ¬xḄAx2-5x-2m'+3m-l=0Ḅ■᪷6,9AḄì᪷;mḄÝ.ØÙa,BAx2-x-l=OḄU᪷,9a'+3BḄÝ.ஹÓÔ⚪1.[îW10cmḄïðñḄòᕜᔜôP᪵ᜧ^Ḅ,/ᢚᔠᡂ÷øḄùúû.19

19(1)<ôḄḄW1cm,ᑣᢚᔠᡂḄ÷øùúûḄücm3;(2)<ôḄḄW2cm,ᑣᢚᔠᡂḄ÷øùúûḄücm3;(3)<=ôḄḄWxcm,ᑣᢚᔠᡂḄ÷øùúûḄücm:1.xḄÜÝ,.2.ᙠᙽḄÿ20cmḄᩩ,ᒕḄḄ☢4800cm2,ᑣḄ☢cm2.ஹ⌱⚪1.#$%$Ḅ☢6,'#$(Ḅ)7,ᑣ+(().A.B.5C.D.72.3᩟5ᑜᙠ89:⁚<ᩩ☢=Ὺ?Ḅ@AB⍝,☢☢L6mEFGB⍝HI2m,B⍝JGB⍝HI0.4m,B⍝ḄFK().A.2.8mB.2.6mC.2.4mD.2.2m%ஹLM⚪1.᝞O23-3,3RᐵTU‷WXᙠᓅᔣ30nmileḄAᜐᨵ⁂bᶧe,fghi60nmile/hḄlmᔣnᔣop,qᓽs᦮ᔣui75nmile/hḄlmvᜓᙠBᜐxᜮz,{|:~IbᶧḄe?g,OKᔲv,OTU‷pḄᔣ./ઙ஻஻஻஻஻஻஻஻஻஻/஻஻஻/O23-42.Xᨵb<⌼50mᜋḄᩞᧇ,vᜓ☠ᨵᜋᡂ᝞O23-4ᡠḄ¡¢.{|:(1)ᔲᡂ£☢200mzḄ¡¢?᝞,ᑣ¡¢ḄஹᔜI¦(2)ᔲᡂ£☢250m2ᡈ300m2Ḅ¡¢¦¨¨©Ḅᳮᵫ.3.¬®#¯ᱥ±²ᙢ´mh(m))¯t(s)Ḅᐵ·Kh=v,t-gt1v஺K®#¯Ḅ¼lm,½ᦪg¿lOm/s2.ÁVo=3Om/s,|Ä(1)◞Iᱥ±²ᙢ´mK25m?(2)Iiᱥ±Æᑮᜐ¦᝞O23-5,ᨵ-ᜐÈᙢᙽABCD,⌕ᙠᐸÌÍÎ<ÈÏᙇEFGH,Õᐸ☢ABCDᙢᙽ☢ḄÖ,×ÏᙇØᕜḄ⍝ÚmÛ=.ÜÝfÞᐹ,eᨵÝàmḄá)ᩩâãḄäå,᝞æ⍝ÚḄm¦20

20ஹçè⚪1.éêsë⊤í,3îᖪðḄ├ò᳛yõö÷øᦪxḄᐵ·úâûᦪᐵ·y=-x+(O.8WxW1.8).᪷ÿᨵᐵᖪḄ2,ᖪᖪ50%Ḅᑭ!,"#ᖪḄᦪ%&.2.(2006**+,-&20.,,ᙳ01☢3&9m2.6ᑜ2007*ஹ2008*;*ᑁ=ᙳ>*?@,-&1,&Bᑮ2008**+,ᙳ01☢3Dᑮ10mEᑣ(;*ᑁ01=ᙳ*?G᳛IJDᑮKᑖM.(=3.162,=3.317,RSTUᑮV)Xஹ⌱Z⚪1.\]:_⚪1,ᔆᵨ2*bcdefg?@hiᩭḄb,l>*=ᙳ?GḄKᑖᦪE_⚪2,ᔆḄefgᵨ2*Ḅbcᙠiᩭa.ᐗḄpẠr?@hb.ᐗ,l>*=ᙳ?GḄKᑖᦪE_⚪3,ᔆᵨ2*Ḅbcdefg?@ᑮiᩭḄb,l>*=ᙳ?GḄKᑖᦪ.s>*=ᙳ?GḄKᑖᦪ&x,"#u☢Ḅvwxy:জ(l+x)2=bঝa(l+x)Ja+b,ঞ(l+x)2=b+lᢥ_⚪1,2,3Ḅ᣸ᑡ,ᑖ%Ḅxy%().A.জ©ঞB.ঞ®জC.জ®ঝD.ঝ©ঞ2.ᖪᢇᵨh1000ᐗ,>ᢥ10ᐗᓬ.Ꮇ᝞ᐰᓬᢇ⊟ᡠḄᦪᢇ⊟ᡠᵨḄᦪḄ¡¢ᑭ!,ᢥ᪵6¤,¥ᓬᡠḄᑭ!¦§11⊟ᡠᵨḄᦪ,ᑣᢇ⊟Ḅᦪ&().A.10B.90C.110D.150vஹ¨©⚪1.ᖪ├«ᳮᙠ├®V¯°=±ᜩ³20,>´ᑭ40ᐗ.&h¶·¸-º▭¼¯⁚ᖪ¾¿〉ÁḄÂÃÄ,᡽ᜧ├Ç?@´ᑭ,ÈÉÊË.«(ÌÍ®V,᝞S>¯°Â4ᐗ,=ᙳ>ᜩ¢³Î8,=ᙳ>ᜩÎḄᦪÂḄᐗᦪḄ2.⌕Ð=ᙳ>ᜩᙠ├ѯ°r´ᑭ1200ᐗ,"#¯°%ÂÎÉᐗÒ2.Ó®Ô,-Õ,ᙳ01☢3Öv*ᩭ?G×Ø᝞Ù23-6ᡠÚ,ÛÜÝ©uᑡ_⚪:Ù23-6(1)wÔ2004*Õ2005*Þ*?@Ḅ01☢3ÎÒ(2)ᵫàÓ®Ôás◤⌕,⚜6ᑮ2007*Ô,-ᦪäå2005*?@2..æ⌕Bᑮb,ᙳ01☢3Dᑮ12mEᑣ;*Ḅ01=ᙳ*?G᳛%DᑮÎÉÒ(TUᑮ0.1%)21

213.ᖪàç*èᢗᐭ50.ᐗëᖪì«⃩îï>**ðäÁ*Ḅᑭ!Á**èᢗᐭḄñòó@ᡠḄeñòô&u**èᢗᐭḄñò,õöë«⃩.(1)᝞S>*Ḅ*ᑭ᳛&P,"#çX**ðḄeñòÎÉ.ᐗÒ(ᵨøᦪù⊤Ú)(2)᝞SçX*Ḅ*ᑭ᳛åç*Ḅ*ᑭ᳛Î10wKᑖû(ᓽçX*Ḅ*ᑭ᳛ç*Ḅ*ᑭ᳛10%ḄÕ)çX**ðḄeñò&66.ᐗ,lç*Ḅ*ᑭ᳛.ýþÿᑴḄᦈ᪗:☢☢ᓫ,ᙠḄ☢A(m?)Ḅᑁ"#$ᦈ1000ᐗ.᝞*Am2,ᑣ◀.⌕011000ᐗḄ23᜛5,6ᑖ8⌕ᢥ#:;<50Aᐗ0.>⊤@ABCDᵨᡝᑴḄ☢GᦈHIḄJKLᓫ☢/m?ᦈN/ᐗO₝A61400TUA31000Wᙠ,XYA⌕ᑴZ$ᜧ\A].ᵨᩭᑴḄᩞᧇ,abca,deᙠḄfᕜ⌕ᶇijk.lmnop⍝,᝞*rஹ>ᔜj0.25m,uvᔜj0.5m,ᑣjk6ᑖḄ☢6m2.wpcaᩞᧇḄxyz{1m,|ejk6ᑖᦈ"}ᨵḄca☢6ᑖ☢.ᨬo,An,1$Ḅ2600ᐗ,ᑴᡂo"fᕜjk6ᑖḄ▭☢{1.ᳮᐸᵨ—ᐗ;ax2+bx+c=0(aWO)ḄCᦪ᪷xx,ᑣxi+x=-,XiX=.b2221¤,¥¦.•ᐗ;Ḅ᪷¨©ᦪḄᐵ©.@¤ᵫ¬ᦪ®D¯WḄ,°±²ᳮ.ᵨᳮ³BZᐗ;Ḅ᪷´--µḄ¶·.¸⚪1wp;3x2+2x+k=0ḄZ᪷T,¼½Ḅ¾Z᪷kḄ¿.À1Á¸⚪,³ᑭᵨ;᪷ḄÃÄx=-lÆᐭÈ;,¼ikḄ¿.ᯠoÊÄkḄ¿Æᐭ;,ËÀ;¼iÈ;Ḅ¾Z᪷.ᑭᵨ᪷¨©ᦪḄᐵ©,³yÌ;ÍᙢÀÏ1¸⚪.À¬᝞>:Ð;Ḅ¾Z᪷x„᪷ÒZᐗ;᪷¨©ᦪḄᐵ©,ᨵ-1+X1=-ᡠXÔ.Õ(T)x="ᡠk=T.ᓽ;Ḅ¾Z᪷,kḄ¿-L22

22¸⚪2wp;2x2-4x+l=0ḄC᪷aGB,¼>ᑡᔜÚḄ¿Lপ(a+1)((3+1);(2)+;(3)(a-(B)2.À1Á¸⚪,ÝᐜÀ;¼ia,B,ÊÆᐭn,ßyÌàá.ᑭᵨ᪷¨©ᦪᐵ©"âËBÈÚាäᙢåa,ᯠoÊn,ᑣæçÍ.À¬᝞>Lèa,B;2x2-4x+l=0ḄC᪷,ᡠa+B=2,a0=ᡠ(1)(a+1)(B+1)=aB+a+B+l=+2+l=3;ফ+===6;ব(a-B)J(a+B)2-4aB=4-2=2.¸⚪3wpZᐗ;x2+px+q=O.äp>0,q<0,;().A.C᪷ðñeò᪷óB¿ÌᜧB.C᪷ôòᦪC.C᪷ðñeö᪷óB¿ÌᜧD.C᪷ôöᦪBZᐗ;᪷Ḅøñ"³ᵨ᪷¨©ᦪḄᐵ©,|ᔠú¬ஹû¬Ḅøñ¬ᑣ´üý¤.èA=pJ4q>0,ᡠ;x2+px+q=0ᨵCþÿḄᦪ᪷.ᵫXiX=q<0,Xi,X2;2ᵫXi+x2=-p<0,Xi,XuᦪḄᜧ.ᡠ!ᐗ#$%&x2+px+q=O,(p>0,q<0*,+᪷,᪷Ḅᜧ.ᦑ⌱A.012345ᑡ7⚪91.;%&5x2+kx-6=0Ḅ!?᪷@2,ABḄC!?᪷DkḄ.2.E%&2x2+3x+l=0Ḅ+?᪷HxiIX2.A9(1)+ḄL(2)+Ḅ.3.(kHM*,!ᐗ#$%&kx2-6x+3=0:(1)ᨵ+?P᪷Q(2)ᨵ!?P᪷ஹ!?᪷Q(3)ᨵ+?᪷Q2.ᐵT!ᐗ#$%&Ḅ3!ᐗ#$%&ax,bx+cRSWO)Ḅ3,ᨬ\]^ᙠ`ᐗa+ᓟcdeḄfghiḄjkᦻm.mn,A]!?ᦪopᓃIBḄ᎔ᦪḄIsT!?;ᦪ,ᓽA]u᪵Ḅ!ᦪxIx',pxx*=1,x+x'=b,ᵫyz]ᐵTxḄ%&{@x2-bx+l=0.|}~],~]oT@zᑮ349X=+ᡈX=_.u▭@fghiz]ḄA᪷`.@,(*|}ᨵᦪḄᙠ,ᡠ᪷7⚪Ḅ᝱.ᙠᡃ,`ᐗa*o!ᐗ#$%&ḄA᪷`.Ḅ(`ᐗ246-330c)ᑣ£!ᐗ#$%&Ḅ!?P᪷oᓽp+?᪷¤@P᪷,£!?.ᓺḄ¦§᥅©ª(`ᐗ598-665c)ᙠ`ᐗ628cᑏᡂḄ¯¦§᥅°P±²³,zᑮ%&x2+px-q=0Ḅ!?᪷ḄA᪷`x=.´µ¶Ḅᦪ·¸´¹•»µ¼½(`ᐗ780—850c)ᙠ|Ḅ¯Àᦪ·³,ÁÂÃÄ%&Ḅ3Å,3]!ᐗ#$%&o|ÆÇÈÉÊËḄÌ9ax2=bx,ax2=c,ax'+c=bx,ax2+bx=c,ax2=bx+c.|£ÃÄa,b,c¤@PᦪḄÍÌ,Î]ᱯÐḄ3ÅÑÒ!$Î]!ᐗ#$%&Ḅ!Ó3Å.|!ᐗ#$%&ᨵ+?᪷,ÔᐕÖ×ᳮ᪷Ḅᙠ.@,ᙠ(*,|ÔÊÙÚᦪ,ᡠÊÚ᪷.Åᦪ·¸ÛÜ(`ᐗ1540-1630c)ᑣz]!ᐗ#$%&ᙠÝᦪßᑁឤᨵ3.ᡃ!ᐗ#$%&ḄẆãᔊåæç,ᙠèé*ÀḄ¯êëìí³“ïð”òo{ᨵA%&:X2+34X-7100=0ḄP᪷Ḅóô.¯õö÷ìø³(ᡂmT`ᐗ466~485cú)ûᨵᵨᦻý⊤ÜḄÿ:X2+CX=C2-36Ḅ.23

23ᦪḄᱯᙠᐗᵨ“”!ᙠ"#$%&ூᓫᐗ)*+,-௃Aᔁ180ᑖ5ஹ78⚪1:;⚪2ᑖ,ᐳ20ᑖ51.@ax2+2x-l=x2+2"ᐗ,ᑣa.2.@ax2+bx+c=0ḄJ᪷L1,ᑣa+b+c=.3.12-x5J2Ḅ᪷".4.1l-2x512+3x5=lᓄᡂRST".5.VWᐵxḄx2+px+q=0Ḅ[J᪷L0,-3,ᑣp=,q=.6.@xi,xz"x2+2x-3=0Ḅ[J᪷,ᑣ+=.7.᝞aᐵxḄᐗaxJ2x+l=0ᨵ[JcdeḄfᦪ᪷,ghaḄik".8.VW1x?+y2+1n=25,oIJx2+y2=.9.@a2-2ab-15b2=01ab^05,os.10.tᓄuᔆwxᨴzḄᓄu{|L4}ᔴ,ᐳ{ᓄu13.2}ᔴ,ᑣᔆஹᨴzᙳ:ᨴ{ᓄuḄ᳛".ஹ⌱⚪1:;⚪2ᑖᐳ20ᑖ511.ᑡ"ᐗḄ"15.A.ax2+bx+c=0B.x1x+l5=x2-2x+3C.x1x+l5-2=0D.+2x-l=012.@x2-2Ḅ+xḄde,ᑣxL15.A.1B.2C.Tᡈ2D.-2ᡈ113.VW2x2+3x-lḄL5,ᑣᦪT-6x?-9x+lḄL15.A.17B.18C.-18D.-1714.cx,yLhfᦪ,ᦪTx2+y2x-4y+7Ḅ15.A.c;2B.c;1C.%LfᦪD.%$Lᦪ15.VW1x+y51x+y+25-8=0,ᑣx+yḄ"15.A.-4ᡈ2B.-2ᡈ0C.2ᡈ-3D.3ᡈ-216.VWS[ᑖL29,Ḅ"X2-14X+48=0Ḅ᪷,ᑣ!JSḄᕜ"15.A.11B.17C.17ᡈ19D.1917.VW[JcḄx2+kx+l=0x2-x-k=0ᨵJdḄ᪷,ᑣkḄ"15.A.-lB.0C.2¢.2ᡈ-118.ᙠᐗᵬ¤┯Ḅ¦ᦪ⚗,¨©ª[᪷L82;¬¤┯Ḅ⚗ᦪ,¨©ª[᪷L-9T.!JᐗL15.A.x2-10x+9=0B.x2+10x+9=0C.x2-8x-9=0D.x2-10x+16=019.VWᐗax2+bx+c=0Ḅ[᪷®Lp,[᪷Lq,[᪷¯Lr,ᑣar+bq+cpḄ"15.A.-lB.0C.1D.220.ᨵ[J±²᦮ᦪ´µḄL25,ᑣ![Jᦪ"15.A.3,4B.-3,-4C.-3,4D.3,4ᡈ-3,-4ஹᑡ1:⚪4ᑖᐳ16ᑖ521.13m+25J4·-3n.22.1x+l52=3x+5.24

2423.x2-2x+3=0.24.+=x.¸ஹᑡᔜ⚪(:⚪6ᑖᐳ24ᑖ)25.VWᐵxḄ■ᐗ(m-)x2+3x+n?-2=0ḄJ᪷"0,¾mḄ.26.¿-6=0.27.*ÀÁ:Ãmih,ᐵyḄy2-(m-2)y+2(m-l)=0ᨵ[JcdeḄfᦪ᪷.28.Ä᜜Æᱥ;ÈÉᜓᑭᵨ᪥ÍÎÏḄᙽ8ᙢÒÓJ☢ÕL130nl2ḄÖᙇ.صᑭᵨ☢L15mḄÍÎᜋ☢Lᐸ,ᐸÛᑭᵨL33mḄÜkÝkᡂ.¾ÖᙇḄÞ.Bᔁ(20ᑖ)ßஹà⚪(29,30⚪:⚪6ᑖ31⚪8ᑖ)29.¿(X2+X)2-3(X2+X)+2=0.30.áaâÖ1500ᐗãᢇáa,ᢥ50%Ḅᑭç-,├éêëìíîï├,ðᡭᢚóéôõÃö÷ø,ùaúᡭᢚìûéü.ý᪶ÿ,ᢇᐳᑭ500ᐗ.ᡭᢚ,ᡭᢚ.(ᑮ0.1ᢚ)31.!"ᓫ$%40ᐗḄᖪ)ᢥ50ᐗ+,-,.ᓬ+5000.12ᖪ)3$1ᐗ,ᐸ├,6789100.%:;<8000ᐗᑭ>,,$?@%A9?-?!"A90CDE᪗GᓫᐗHI•ᦪL•MNO•PQRᨔTᑡV24XYZḄ[24.1[ḄYZ25

25ᙠ]^_`abᡃdefg⍗ᑮZiḄᱥk.l᝞nopq᪵Ḅstஹvwxy.ᦪLabᡃdzg⍗ᑮ{A|[Ḅ}t.}᝞0ᜧpq᪵ḄZ,0ᜧpq᪵ḄZy.dᐹᨵZiḄYZ,ᡃd%[Z.qஹ⚪᝞“[YZ”0YZeᜧᡈᔠḄYZbᡠᨵḄ_¡¢◤q¤¥ᔠᩩ§ḄYZ¨ᙳ[.ªஹ⌱¬⚪ᑡ®¯Ḅ¡¨.A.ᡠᨵḄ±Z[B.ᡠᨵḄyῪZ[C.ᡠᨵḄµZ[D.ᡠᨵḄZ[ஹ·¸⚪Y24-1ḄºYaḄA»Zᜧ2¼,½ᙠ¾»Ḅ¿ᑁ1.ᙠY24-2¾»Ḅ¿Áa½+º»Y[ḄZ.2.ÃÄY24-3ḄqÅYZ,YZaḄZ[Z,᪷ÇᐸÈᓄÊË,

26᝞ÎÏaÂbḄÒÓḄl(aÔb)yÕÎÏcÂdḄÒÓḄl(c:d),ᓽaÔb=cÔd,ÛᩩÎÏÜÝᡂl}ÎÏ.l}ḄßàឋÍ:᝞aÔb=cÔd,ad=bc;âᩭ,᝞ad=bc(a,b,c,dpyÕ0),a:b=c:d.[A»ZḄឋÍÔ(1)ä?»ᡂl}å(2)ä?y.^▭Pzᡃdᑨ@0A»Zᔲ[Ḅ¯,ᓽ᝞0A»ZḄä?»ᡂl},ä?y,0A»Z[(éêbëì“ᡂl}”b“y”).(-)qஹ⚪1.᪷Çᑡᩩ§,ᑨíÎÏa,b,c,dpᡂl}ÎÏÔ(1)a=lcm,b=0.4cm,c=4cm,d=3cm,ᑣ;(2)a=0.Im,b=0.8m,c=0.02m,d=4m,ᑣ.2.᝞2a-3b=0,=,=,=>_•3.ᙠó45°Ḅõabᩩ±»Ḅl%bqᩩ±»Âö»Ḅl%.ªஹ⌱¬⚪1.ÎÏ3aÂ27aḄl}a⚗().A.9aB.-9aC.±9aD.81aJ2.m,n,pḄVÛl}⚗¡¨.A.B.C.D.ஹ·¸⚪1.12a=4cm,b=6cm,c=3cm,a,2cḄVÛl}⚗dḄÒ.2.ᑡᔜḄx:প23=3x;ফx6=25;(3)35=x4;(4)4x=81.3.ᙠ150Ḅ,!"#$%Ḅ&32cm,)#$%Ḅ*▭&,-./0ᢣ234*▭23Ḅ.ᓽ=.4.67==,8b+d-2fW0,?.27

271.ᑨA⚪(CḄᡭ“',┯Ḅᡭ“X”)পJa=b,x=yWO,Nlja:x=b:y.()ফJ==(b,dQᦪ)SᑣU()2.67:VWa=l,b=,c=.?X:VWba,cḄ⚗.3.67===,2a+c+e=10,?2b+d+f.1.᝞\===k,^b+d+fWO_,«ij=k.Xbᵫ===k,"a=bk,c=dk,e=fk,ᡠe==k.2.ᵫ==1<,g"===k,ᡠe^3b-2d-fW0_,=k./┶ij)(-)ஹlm⚪1..2Ḅ⚗.2.67x:y=5:2,Nlj(x-y):y=.3.QnoSp&4ᕜ&Ḅ.rஹ⌱t⚪1.uᑡw⚪SxQyḄ().A.{Ὺ}~U~oB.{pU~oC.oD.ᡠᨵḄᙊ2.675y-4x=0,(x+y)(x-y)Ḅ().A.B.-9C.9D.3.uᑡᔜḄᩩVW,ᡂVWḄ().A.a=2,b--4,c=6,d~8B.a=Sb~,c~,d—C.a=,b=,c=,d=2D.a=2b=,c=,d=2f4.}~U~oḄᩩ}~pa,b,pc,pḄh,ᑣuᑡᔜSQyḄ().A.a:b=c:hB.bh=a:cC.=+D.=+Uஹ⚪1.ᙠᙢ,A,BᙢḄ*▭2320km,ᙠḄ2310cm.᝞\C,DᙢᙠḄ234.5cm,?C,DᙢḄ*▭23.28

282.᝞24-4,poABCD4poEFGH,?NDḄᜧ§¨EH4HGḄ&.301.674ABC¨4A'B'C,JAB=12cm,BC=8cm,AC=10cm,A'B'=15cm,?AA'B'C'Ḅᕜ&.2.67UᩩVWḄ&ᑖª2cm,5cm,8cm,«¬ᩩVWS)ᩩVWᡂ,?ᡠ¬VWḄ&,.C-ᡂḄᩩVW4®¯Ḅ᣸ᑡ±²ᨵᐵ.24.3U~oᨵ#~C-{Ḅ#U~o;ᨵpC-ᡂS´8ᜳ~C-{Ḅ#U~o;ᨵUpC-ᡂḄ#U~o.#U~oḄC-pḄஹC-VḄஹC-~¶ᑖVḄஹC-Ḅஹᕜ&{·;U~o☢¹Ḅ{·Ḅ¶n.(ߟ)29

29ஹlm⚪1.᝞24-5,D,EᑖªAABCḄpAB,ACḄ»SDE஻BC,AD:BD=23,ᑣ"DE4AABCḄ.2.᝞24-6,AD±BC,BE±AC,ᑣᐳᨵ.,CU~o.24-6rஹ⌱t⚪1.U~oUpÀ345,4®ḄÁ#U~oḄᨬÃp6cm,ᑣÄ#U~oḄᕜ&ÅÆ.A.12cmB.18cm2.᝞24-7,E,DᑖªÈABCAB,ACḄ»S8/AED=NC,ᑣÊᑡËÌ┯ÍḄÅÆ.A.=B.AE-AC=AD•ABC.AE•BC=AC•EDD.AAED^AACBUஹ⚪1.᝞24-8,67ÈABCsaADE,AE=50cm,EC=30cm,BC=70cm,ZBAC=45°,ZACB=40°.?পZAED¨NADEḄ,ᦪÓÅ2ÆDEḄ&.24-930

302.67,᝞24-9,ᙠ4ABC,AB=AC,ZA=36°,BD/ABCḄ¶ᑖV8ÔpAC·D,ÕbÈABCsaBDC.24-101.᝞24-10,67AABC,AB=AD,BD=DC,DE1BC·DÔAC·E,BEÔAD·F,ÕbÈBDF^ACBA.B24Tl2.×ᙽÙᐰḄ{ῪU~Û᤮Ýᡂ᝞24-11Ḅ᪵ßSᎷḄᡠᨵ»ஹVᙠ¶☢ᑁ.âuᑡã⚪(1)ᐳᨵ./#U~o?宯ᑏçᩭÓ(2)ᨵU~oᔩ?᝞\ᨵ,宯ᑏçᩭ.(-)ஹlm⚪ᙠ4ABC¨4DEFS67AB=4,BC=5,AC=8,DE=6,DF=12,^EF-_SAABC^ADEF.rஹ⌱t⚪uᑡᔜU~oSᑨAeA',B',C'⚔»ḄU~o4AABCḄ().A.AB=3,AC=2,ZA=70°;A'B'=6,B'C=4,NA'=70°31

31B.AB=5,BC=7,AC=9;ASB'=10;B'C'=14,A'C'=16C.AB=12,BC=15,AC=24;A'B'=25;B'C=40,A'C=20D.AB=8,AC=4,ZB=70°;A'B'=4,A'C'=2,NB'=70°Uஹ⚪1.᝞24-12,67D,E4ABCḄpAB,ACḄ»S8AD•AB=AE-24-12AC,ÕbaADEsaACB.2.⌕ì#oíḄU~o᪾ï,ᐸ#U~o᪾ïḄUp&ᑖª40cm,50cm,60cm,Áᨵ&20cmḄᩈᧇ.ãᒕuḄWᩈᧇô᪵⌱?ᨵõö⌱÷0D24-131.᝞24-13,ᙠ4ABC,AD_LBC,DEIAC,DF±AB,D,E,Fᑖªᚖü,ÕbAAEFs4ABC.24-142.᝞24-14,67AABC,AB=8cm,BC=12cm.ý»P,QPA,ABᔣ,lcm/s;QBBCᔣ,1.5cm/sPᡈQᑮ#BᡈC$ᓽ&'(.)*+P.Qᙠ-./0ᔲ2ᑖ45B,P,Q6A,B,C⚔Ḅ9:;<=>?Ḅ@A?0,CD;E0)FGᳮᵫ.32

32ಖKஹMN⚪1.9:>?;<=Ḅ☢QRS4:9,ᑣX9:;<=-----DY24-15Ḅᕜ]ḄR^_`aḄbḄRS.2.᝞Y24-15,ᙠd=ABCD/,AD஻BC,AD=1,BC=2,AAOD,AAOB,ABOCḄ☢Qᑖ4Si,SS3,lijSi:S=,2,2Ai4Y24T6Si:S=3pஹ⌱r⚪᝞Y24-16,A„A,B„B,CGᑖ4S`BC,CA,ABḄ;vᑖ,wABCḄᕜ]1,ᑣx`22b=AyBB£CḄᕜ]S(.A.1;ஹ{|⚪Y24T71.᝞Y24-17,CDSRtAABC`ABaḄb,AD=9,BD=16,CAC,BC,CDḄ].2.9:>?;<=ḄK^^_`ᑖ4S35cm14cm,Ḅ☢Q>588cmCX9:;<=Ḅ☢Q.33

33Y24-18᝞Y24-18,d=ABCD/,AB஻CD,AC,BD0,BE#ADAC]E,FG0A2=0C0E.KஹMN⚪1.᝞Y24-19,ᙠ024cmᜐᨵK]21cmḄ∑AB,AB0ᡠᡂḄA'B'ា£¤ᙠ¥$☢16cmᜐḄ¦§aᑣA'B'Ḅ]Scm.Y24-19Y24-202.᝞Y24-20,K¨᫜b0.8m,᫜ᑁᨵ¨,K᪷ᩈ᫜®¯°ᑮ᫜±,²³᫜¯ᑮ᫜±ḄX´ᑖᩈ]1m,µᩈ²³ᩈa¶¨´ᑖY24-21]0.8m,ᑣ᫜ᑁ¨☢bcm.pஹ⌱r⚪1.᝞Y24-21,·⍝¯Ḅ¹ᩚ»¼]1m,]¼]16m,½»¼¾¿À0.5m,]¼¾ᓣbᩚḄÂÃᶍEÅ(Ḅb(.A.11.25mB.6.6mC.8mD.10.5m34

342.᝞Y24-22,CDSÆ☢Ç,ᐝACDaEÉÊᑮB,AC1CD,BD1CD,ᚖÌᑖ4C,D,AC=3,BD=6,CD=11,ᑣCEḄÍ(.A.B.C.D.;ஹ{|⚪Y24-231.᝞Y24-23,KÎÏḼKÑᨵᔖÓᑖᑜḄÕÖ×ᙠ¥ᵯᩚÙ30mḄᙢ,ÛܼᔣÝÞÕßÞ,àᑮÕaÙ12:ᑖᑜា£áâᵯᩚãä¼]Ù60cm,CᵯᩚḄb.Y24-242.᝞Y24-24,ãäåᙢaßæḼ9᪷ᵯᩚAB,CD,>¥15m,ᑖ49ᵯᩚabᙢ☢4m,6mḄA,Cᔣ9çḄᙢ☢aE6D,B6Fᜐᵨêëìí5îïᵯᩚ.*:êëðAD6BCPñᙢ☢ḄbòóÓô1.᝞Y24-25,õåᔆᨵKᙽNᙢ,2⌕ᙠùNᙢa=᝞┦<;<=ABCḄûüᑁýKþÿᜧ.BC=60m,AD=40m,ᜧᙢEFMNM,FᙠBC!E,Nᑖ#ᙠAB,AC!ᨴ.EF%EN=2%7,()*ᜧḄᓰᙢ☢..35

352./0123ᡂḄ56᪾8Ḅ59:ᑖ#;20cm,50cm,60cm.>ᙠ⌕@A/0BᐸDEḄ1256᪾8FGᨵ:;30cmJ50cmḄKL12,⌕(MᐸNḄ/᪷;/,PQ/᪷!.RSKTUᐕWᨵXᧇZ[;Q᜜K,]^_`aᐹcRSḄdᫀ.24.4Nfghi56KNḄgTjA56ḄNfg.56ḄNfgᨵ/ᩩl⌕ឋn:pqrst5,uv:wxst5Ḅ/y.56Ḅ5ᩩNgzs/,)/{56Ḅl|.56Ḅl|B/NḄhgḄ:}~Ng:Ḅ.hiKῪNḄgTjAḄNfg.ḄNfgqrsK,pḄ:wxsKJḄ/y./ஹ⚪1.᝞24-26,AABC5ḄNᑖ#;D,E,F,᝞AB=6cm,AC=8cm,BC=10cm,4DEFḄᕜ:cm.24-272.᝞24-27,A,BKᑖ#fs/0ᛢḄKᵨA,BḄ,,/f¡¢£¤/0¥¦:ᐜᙠᙢ!S/0¨M©iᑮ«A,BḄC,¬ᑮAC,BCḄND,E,uvaDEḄ:;15m,ᑣA,BKḄ;m.3.®/0xῪḄNfg:6cm,Ὺ:5cm,ᑣ)0xῪḄᕜ:cm.¯ஹ⌱±⚪1.²ḄKᩩ}6gDx,³´hi²ᔜN¶ᑮḄ²UZ.A.B.C.·D.¸d2.ḄNfg:;12cm,/ᩩ}6g¹Nfgᑖᡂ1%2Kºᑖ,ᑣḄKᑖ#;UZ.36

36A.4cmJ8cmB.9cmJ15cmC.10cmJ14cmD.8cmJ16cm3.᝞24-28,ABCDN,R,Pᑖ#DC,BC!Ḅ,E,Fᑖ#AP,RPḄN¾PᙠBC!PBᔣCÀÁFRÁÂ24-28ÃᑡÅÆᡂÇḄUZ.A.gTEFḄ:⌲ÉÊᜧB.gTEFḄ:⌲ÉËC.gTEFḄ:ᦋÍD.gTEFḄ:ÎÏÐ5ஹÑÒ⚪1.᝞24-29,ᙠ┦64ABCNAB

37D2.(1)᝞24-32,ß஺ABCDḄᔜ0⚔ᔣ²᜜/ᩩ©g1[ᚖg,ᚖãᑖ#A',B',C',D'.(Ö:AA'+CC'=BB'+DD'.(2)}s!⚪,᝞ÀÁ©g1,æ1ᑖ#ᜐᙠÃ☢জéটḄfëᩩìᑖ#᝞Ã,Fᐸ£ᩩìÍÂ,ÅÆAA'+CC'=BB'+DD'íᨵÍᓄᔩðÆÍᓄBᔲᙳ~óMÖ.জ¾©g1஻ABÂôঝ©g1஻öß஺ABCD²0⚔NḄ/0BÂôঞ©g1BMBCDḄKᩩøAB,BCDzÂôট©g1B஺ABCḄ/ù}DzÂ.ব]᪷ûM!©g1BMBCDḄ5Lfë,üý²ᩩgTAA',CC',BB',DD'9Ḅ:wᐵÿ,ᵨ⊤ᩭ.24.5Ḅ⚔Ḅ,!᪵Ḅ#$%,!#$%&',()ᑭᵨ%Ḅ+,-.ᜧᡈ12.3456ஹ89⚪38

38᝞24-33,ᙠᜧ2?4X4ḄA++B&CAABCḄ⚔A,B,Cᙠᓫ%A+Ḅ⚔H,IJᙠ&KAABCḄLMA'B'C',OPA',B',CQᙠᓫ%A+Ḅ⚔H,ᑣS)Tk=.Wஹ⌱Y⚪2.᝞24-34,ZABCDḄ\]^?p,ᙠ!ᩩ\Hᑖbcda^b,ᡠhḄiZKjZ,ᑣABḄk?().A.B.C.D.Lஹno⚪1.q⌱r+,,ᑖbᢥtᑡTvḄ%.(1)T?1w3;(2)T?3.2.᝞24-35,y)zABCDEḄ⚔A?%&',z24-35A'B'C'D'E',PzA'B'C'D'E'Ḅᕜk}zABCDEḄᕜkḄ~.39

3924-361.᝞24-36,P}ABCᑁ,D,E,Fᑖb?PA,PB,PCHCO==,yAABCsDEF.2.zA'B'C'D'E'}zABCDEḄ%,OA',B',C',D',E'ᑖb}A,B,C,D,EḄ⚔.2ᙠᦋ,ᡠḄᑖᣵ(ᒕᑖ᝞24-37ᡠ)CIJ᪷ᒕḄᑖ2-z⊡᦮.24.6Kᙶ᪗I°ᙠ¡☢£Mᙶ᪗¤&CᑭᵨḄᙶ᪗()¥¦Ḅ%§;ᵨM¨^©ª«()¥¦Ḅ%§.ಔஹ89⚪1.ᙠ£Mᙶ᪗¤ᑁ,ᨵA(-1,0),B(3,0),ᑣABḄ©ª?.2.ᙠ£Mᙶ᪗¤ᑁCP(a,b)®I°x²Ḅ©ª?2,ᑮy²Ḅ©ª?3,ᑣPḄᙶ᪗?.Wஹ⌱Y⚪µAᙠ·ᛞBḄᓅº»30°Ḅ+ᔣH,ᑣ¾AH¿À·ᛞBḄ%§?().A.ᓅºÁ60°B.ᓅºÁ30°C.ᓭº»30°D.ᓭºÁ30°Lஹno⚪1.ZABCDḄkKÃᑖb?5^3,ÄÅ〉Ç.ᙶ᪗¤CᑏZḄᔜ⚔Ḅᙶ᪗.40

402.AḄᙶ᪗?(3,-4),Bᙠx²H,BᙠAḄÊH+,OB=OA.(1)ÌBᙶ᪗Í(2)ÌaAOBḄ☢Î.3@1.⁂ÐᢥᵫÁᔣ»+ᔣÒÓ,Ôh2Õᙠᓅº»60°Ḅ+ᔣH.ÒÓ4km×CØÔh!2Õᙠᓅº»45°Ḅ+ᔣH.IᢥTÙÚ?1w100000ÐÒÓḄÛ^2ÕḄ%§CÜÝÔÞßà2ÕKÐḄᨬ⩪.2.ᙠ£Mᙶ᪗¤&C¡ÓvḄL⚔ᙶ᪗ᑖb?0(0,0),A(-4,0),B(0,3).yÌãḄäv⚔Ḅᙶ᪗.(-)ஹ89⚪1.Pব4)ᐵx²çḄᙶ᪗?,Q(-2,3)ᐵy²çḄᙶ᪗?CM(4,-3)ᐵjçḄᙶ᪗?.2.A(l,-2)ëÝ〉ÇḄìᣚ()hᑮA'(2,3),IᑏrîᔠᩩðḄìᣚÝñWஹ⌱Y⚪1.A(1,m)ᙠòᦪy=2xḄôH,ᑣAᐵy²Ḅçᙶ᪗?().A.(1,2)B,(-1,2)C.(1,-2)D.(-1,-2)2.A(-3,2)ᐜöx²A+ᔣ¡÷5ᓫ%,øöy²Ḅù+ᔣ¡÷3ᓫ%×ᡠhḄᙶ᪗?().A.(-8,-1)B.(2,5)C.(2,-1)D.(-8,5)Lஹno⚪1.᝞24-38,AAOBᐵj0ᡂ&'çḄOB',ᢣ⚔Ḅᙶ᪗ᨵýþìᓄ.41

412.᝞24-39,l,:y=2x+4xஹyᑖA,B,1,ᔣn"ᓫ$(n>0),)ᑮLxஹyC,D,.aAOBACODḄ☢345164,78nḄ9.᝞24-40,:;?@6@A

42B24-4124-41o,ᐸ^Ḅ?@Aᔠ₹ᐲ℉$E'FGHIJK1898.ᙠ&JM,N“OPQR&J”.9SMTᑁV“WXᡠᨵḄ₹ᐲ᱐E\]^ᨵ_NḄ`abcាeḄf⁚”Vhᦪ&'ஹᱥᳮ&'ஹᨔm&'ᓾoNḄEpJ8qrḄᐶt.ᙠu☢ḄEwx24-44{VFGHᵨ}~ஹஹw☢{o!43

43᪀`8bcc᜻ḄT,_᩽ᜧḄ=>◫.x24-44ḄxḄᑴ`!᝞x24-45ᡠx24-44x24-45ூᓫᐗ௃Aᔁbஹ⚪1.xyz=235,ᑣ=.2.¢£ABḄS¥14cm,¨Cᙠ¢£ABQ,⌕«ACBC=52,¬ACḄS®¥.3.᝞;AABCS4A'B'C',±4ABCḄᕜSB'CḄᕜS³´¥21,ᑣ4ABCḄ☢µ4A'B'C'Ḅ☢µ³´¥.4.¶b·¸¹ᙢᙽḄᵬஹ½¾¿ᙢxV´ÀÁᑖÂ¥1200Ã1500,ᑣᵬᙢxýᙢxḄÄ´¥.5.ᵬᙠ½ḄᓅÆÇ25°!ᔣQVᑣ½ᙠᵬḄ!ᔣQ.6.᝞x24-46,RtAABC,CD¥ÍÎABQḄÏ,ÐBC=2,BD=1,ᑣAB=,CD=.^ÒDCA.᝞;AD=4cm,BC=9cm,¬Ó¹ABCDḄ☢µ¥cm2.8.¨PᐵKxÕoḄ¨P'ÖyÕḄ×!ᔣ}~cᓫÙÚ0ᑮ¨P",ᑣ¨P"Ḅᙶ᪗¥.9.᝞x24-48,¾¨A(2,0),B(0,4),±N1=N2,ᑣ¨CḄᙶ᪗.10.᝞x24-49,á!¹ABCDÎS2,BE=CE,¢£MN¾äᙠCD,ADQåæ,±MN=1.eDN=M,AABED,M,N¥⚔¨Ḅ·¸¹Ä.44

44x24-49èஹ⌱é⚪11.ᙠ´ÀÁ18000ḄᓭëìíîᙢxQ,ï}ᓭðḄSñ¥25cm,òḄó▭Sñõ¥w{.A.320cmB.320mC.20000cmD.2000m12.uᑡᩩøVùᑨûABCS^A'B'C'Ḅ().A.ZA=50°,ZB=40°,NA'=50°,NC'=80°B.NA=NA'=130°,AB=4,AC=10,A'B'=10,A'C'=24C.AB=48,BC=80,CA=60,A'B'=24,C'A'=30,B'C'=40D.ZB=ZB'=54°,AB=,AC=,A'B'=,A'C=313.uᑡýþx¹PbûÄḄw).A.ÿḄB.ᨵḄC.ᡂḄ24-50D.ᩩḄ!ᜳḄ#$14.᝞24-50,ᙠaABC+,AB=AC,ZA=36°,BD#ᑖ/ABC,DE஻BC,56ᙠ7ᑡ9+:aABC;Ḅ9<=).A.ADBE>4ADEB.AADE>?ABDC.AABD^HABDCD.ABDC^OAADE15.᝞24-51,RtAABC+EAD

45A.B.C.D.18.᝞24-53,ᙠ4ABC+EAB=3AD,DE஻BC,EF/7AB.OAB=9,DE=2,ᑣ]FCḄJ<=N.A.6B.5C.4D.319.᝞24-54,ᙠRt^ABC+ENACB=90஺ECDEAB,7ᑡ`a+┯cḄ<=N.A.BC2=BD•ABB.AC'AD•ABC.CD2=AD•DBD.AB2=AC•BC20.᝞24-55,᝞f?ABCs^CBD,567ᑡᔜ`+ᡂhḄ<=N.A.CD2=AD•DBB.BC2=AB•BDC.=D.=21.᝞24-56,"BCD+,MTDCIJGL,AMHBCKN,ᑣ+;9Ḅᦪᨵ).A.1B.2C.3D.422.᝞24-57,lABCD+EAB/7CD,ZA=90°,EᙠADGE!CE#ᑖ/BCD,BE#ᑖ/ABC,ᑣ7ᑡᐵn`:জ=@=G=s@CEKD•BC;ঠBE'=AE•BC.ᐸ+EwxᡂhḄ`ᨵ=N.A.2B.3C.4D.546

4623.LM(3,y)ᙠ{y=-xG,ᑣLMᐵKx}Ḅ~LḄᙶ᪗T().A.(3,-3)B.(3,3)24.ᙠ{ᙶ᪗n+ELA(-2,0),B(0,4),C(0,3),C{Hx}KD,D,0,CT⚔LḄ9:?AOB;E᪵Ḅ{().A.2ᩩB.3ᩩC.4ᩩD.6ᩩ25.(┐ᡂ⚪)᪷᝞24-58ᡠḄ(AB஻A'B')Eᱥy(A'B'ḄJ):ᱥJx(ABḄJ)ḄᦪᐵnḄᜧ<().9ஹ⚪26.᝞24-59,Gᨵ?ABG,¡ᙠG¢£••:?ABC;Ḅ9AB&,¥ᢈ,§:▾©ª§▾ᦟ¬§▾7E▾ᵯ¯*▾±²§▾24-6128.24-61<³ᜧ§´µᔜ§▾ᑖ¶Ḅ·,¸¹h{ᙶ᪗n,ᵨᙶ᪗⊤ᔜ§▾Ḅ¼½.47

4729.᝞24-62,ᙠlABCD+EAD஻BC,ZB=90°,AC1CD,OAD=9,BC=4,¾ACḄJ.24-6330.᝞24-63,ᙠAABC+EZ1=Z2,CD±ADKLD,ETBCḄ+L.¾À:DE=(AB-AC).24-6431.᝞24-64,ᙠlABCD+,AB஻CD,ZBCDḄ#ᑖ:ῪADHKADḄ+LM.¾ÀÂAB+CD=BC32.᝞24-65,"ABCD+,AEÂEB=1Â2.(1)¸¾4AEF:4CDFḄᕜJs(2)O4AEFḄ☢ÆT6cms¸¾4CDFḄ☢Æ.48

48A33.᝞24-66,ᙠ4ABC+ᨵᑁÊ,ḄEFᙠBCG,Ë⚔LH,GᑖÌᙠAB,ACIÂ.OHEÂHG=3Â4,BC=20cm,9ḄÎAD=15cm,¾Ḅ☢Æ.Bᔁ24-6734.᝞24-67,ᙠ{ᙶ᪗n+,OABCḄ⚔LBḄᙶ᪗T(8,6),{y=x+mាÑÒOABCḄ☢ÆᑖᡂḄÓᑖ,¾mḄÔ.24-6835.᝞24-68ᡠ,ᙠABCD+,AB=12cm,BC=6cm.LPÖAB×LAØÙᔣLB2cm/sḄÛÜÝÞELQÖDA×LDØÙᔣLAlcm/sḄÛÜÝÞ.᝞fP,Qáâ£ãEᵨt(ᓫ¼:s)⊤ÝÞḄâ(0WtW6),56ætTçÔâ\Q,A,PT⚔LḄ9:aABC;éêë᪗áìᓫᐗîï•ᦪ§•ðñò•Góôᨔnᑡö25÷{925.1øùᙠú▭øùᱥüḄÎÜஹýÜâ,þþ⌕᪀⌼ᱥᡠᙠḄ,ᔜᩩḄ⌕ᩭ,᪵!"ᵨḄឋ%ᑡ'()*+.49

49ஹ/0⚪1.ᙠ3ᜩḄ567,3ᜧ9Ḅ:;50m,56?31.5mḄ@ABCḄ:;2.5m,ᑣᜧ9Fm.2.3G✂ᙠIJKLM,NᜓᙠᜧᔉḄQ9RSTU3VW⁐ᙢZ,[\VᙢZ]^_`ab30ᐗ.Q9Re2`,ᐸg☢᝞j25-1ᡠl,ᑣmnᙢZop◤⌕ᐗ.rஹ⌱t⚪1.ᙠ'(uv1w10000ḄᙢjSxy2cmḄA,B}ᙢḄ▭yv.A.200cmB.200dmC.200mD.200km2.F5Ḅᵬஹஹx᝞Ḅ;Ḅx;AḄxᙢ☢ᡠᡂḄᑖ;30°,45஺x60°,l¡jḄ_¢!£¤.A.ᵬḄᨬFB.ḄᨬFC.ḄᨬFD.¦ᡠḄ᪵Fஹ+§⚪1.᝞j25-2,¨ᩚªᜧᢚ£,¨ᩚBḼᙢᙢ☢ᡂ45°,?AB=5`,®¯U°V_ᫀx*¨ᩚ²;³p`.2.ᨣᎷ¶·35¸°ᑜºAᙢᑮBᙢ¼½,ᙠᙢjS¾5¸?AᙢᑮBᙢḄyv1cm,¿!40km/hḄÂÃÄÅ᥅ᡲȺAᙢᑮBᙢ,ᑣop◤⌕³p6ÉᑮÊËᙢjḄ'(uv1w30000001.ÌMÍᨒ,¸Ïᙠ"ÐÑSÒÓ,ºÔ☢2mÕᙽ×ØᜐxÚᑮÛ¨ᩚ⚔ÝḄ᎔:.᝞¨ᩚßÝᑮ×ØᜐḄyv40m,¾¸ÏḄàáFÃ;1.5m.*:¨ᩚḄFÃᜧã;³pË50

502.᝞j25-3,35¸ä¨ᩚḄFÃxᙠ3671mḄ@AåḄᩚæ6,ᩚæḄ:v1.5m.ᙠ567¨ᩚḄ:æ6,ç¨ᩚ☠éê9ë,:æìᐰîᙠᙢ☢ï:,ᨵáᑖîᙠᜋS,?ᙢ☢S:v21m,ᶇᙠᜋSḄ:Fv2m.*¨ᩚḄF.25.2┦ôᦪU/AvAöḄ┦xᑣᨵwsinA=,cosA=,tanA=,cotA=.ஹ/0⚪1.ᙠRtAABCöxZCvA,a=3,b=6,ᑣsinA,cosB=,tanA=,cotB=.2.4ABCḄᑁ123,ᑣ.ஹ⌱#⚪1.%RtAABCḄᔜ(᡽ᜧk,,-ᑮ/0ḄRtAAJB,C',ᑣ┦A4Ḅ567sinA4().A.ksinAB.sinAC.D.sinA2.ᙠAABC<4ZC=90°,ZA,ZB,ZCḄ/ᑖBCa,b,c,EᑡGH

5141.᝞Y25-4,ᙠaABC<4/ACB=90°,CDJ_AB\D,BD=1,AD=4,PNAḄ^_ᦪ7.2.(1)ᑭᵨ_ᦪḄᭆdefsin2a+cos2a=1(a┦)g(2)ᑭᵨhijkN⚪4᝞lsin'a+sina=1,P2cos'a+cos'a+cos6a+cos8aḄ7.(-)Iஹno⚪1.sina=cosa,a┦4ᑣa=0.2.a┦4ptan(a+12°)=,qija=.ஹ⌱#⚪aC┦4ptana=0.8434,Eᑡᔜ7<4saᨬuvḄC().A.40°14'B.40°15'C.40°8'D.40°9'ஹNO⚪1.wᵨRSᘤPEᑡ_ᦪ7(yzᑮ0.0001)(l)cos37°5'6";ফsin58஺7'8";(3)cot27°40”.2.┦aḄ_ᦪ74wᵨRSᘤP┦a.(1)cota=2.1703;(2)tana=1.7344.1.ᙠAABC<4ZA,ZBᙳ┦4+=0,P/CḄᦪ.52

52BY25-52.(1)᝞Y25-5ᡠ,┦Ḅ56767(Ḽ┦ḄzJzJ,ᐸᓄᓄ.Ḽ┦ᦪḄᜧ4Ḅ56767ᓄḄ.(2)᪷-ᑮḄ418°,34஺450஺462஺488°┦Ḅ567Ḅᜧ¡Ḅ67Ḅᜧ.(3)ᜧ(ᙠo¢ᜐnᑏᡈ“ு"ᡈ“=”¨)a=45°,qsinacosaga<45°4qI«sinacosaga>45°,ᑣsinacosa.(4)ᑭᵨḄ®Ḅ566Ḅᐵ°,Eᑡ56767Ḅᜧsinl0°,cos30°,sin50°,cos70°.25.3N±²ᙠ±²<4ᵫᐗµP¶·ᐗµḄ¸¹ºN±².N±²4ᨵ®¼½¾:®gIᩩI┦.Iஹno⚪1.N±²,ÀᨵE☢®¼½¾(1)g(2).2.ᙠRtAABC<4ZC=90°,NA=30°,b=2,ᑣ/B=,c=.ஹ⌱#⚪LᙠRtAABC<4NC=90஺4b=l,tanA=l,ᑣÃcḄÄÅ\().A.4B.C.2D.12.ᙠRtAABC<4ZC=90°,NA,ZB,ZCḄ/ᑖBa,b,c,EᑡᩩÆ<ÇÈN±²ḄC().A.aZAB.ZBcC.ZAZBD.abஹNO⚪1.ÅῪ²ÊhḄË10,ῪÄ10,PÅῪ²ᔜḄᦪÊÄ.53

532.ᙠ4ABC<4ZC=90°,b+c=30,ZA-ZB=30°,N±².Y25-6᝞Y25-6,ᙠRtAABC<4ZC=90°,ZBACḄÌᑖÍÎBC\D.AD=,AC=8,NRtAABC.ÏÐIஹno⚪1.IÑÒÓÔᕒᙠÖᙢAho6000ØËḄBᜐ,Ù-ᙢ☢ÚÛÜ᪗CᜐḄÞC30°,ᑣAC=.Ïßᶇ᪷¨Ð2.ᓣâãä,åæçèᙠéãᩚÊë24ØᜐìíÜî,ïâãᓣᑮãᩚ⚔ñä,òæçḄóÍḄô30°,®õéᙢ☢1.5Ø,ᑣãᩚË________.ஹ⌱#⚪1.EᑡY²<Ï᝞Y25-7Ð,ÞC24°ḄCÏÐ.kABCDY25-7Y25-82.᝞Y25-8,ö/÷ᨵøᛞAB,ᙠCᜐÙ-ᛞ⚔AḄô30°,ᔣᛞüýMmᑮÿD,ᙠDᜐÙ-AḄô45°,ᛞËABÏÐ.A.4Ï4-lÐmB.7Ï+lÐm54

54C.(16+7)mD.(10+7)mஹ⚪25-91.᝞25-9ᡠ,20ḄᵬAᜐ#$⚔CḄ&'(30°,#$+DᜐḄ,'-45°,/$Ḅ0.123ᑮ0.152.᝞25-10ᡠ6789ᨵ;<᪛AB,?@ABB7ᚁᔣEF50mᑮGAD,ᵨ-1.5mḄI'JCDIK᪛⚔Ḅ&'-10°,LM7ᚁḄNO'-15°1n°A25-106P/᪛ABḄ0.123ᑮ0.1m5ᙠQRSTRᦋ⌼ḄQ;⚗XY,⌕[᝞25-11ᡠ25-11Ḅ;<\ᨵ]^_`Ḅ᪛a᎔,cEd᳝ᐲ.ᙠghijY,kᏝᵬ⌕mno᪛a᎔;kᏝ$qrs,tuvw᪵yz{w<᪛ᕜ}4.5mᜐḄ~₝ᱥᛛ.᪷Y᪗ḄIᦪ,i:kᏝ$Ḅuv(ᔲᨵ⌕123ᑮ0.1m555

55k6ᝍ;ஹ⚪1.OᚁḄᚁ0i=l¢,ᑣᚁ'a=.2.¥;¦ᙠOᚁEF§10m,0Eᓣ§5m,ᑣᚁ©i=.ªஹ⌱¬⚪1.;¦᫑Ḅ;¯B᫑☢E᫑,Fᑮ25ᜐIK±ᜐ©ᙢ³☢´1,ᑣ᫑Ḅᚁ0(15.A.1¢25B.25¢1C.1¢4D.4¢12.Qµ¶¶·Ḅ¸¹☢-;ºῪ¼½,¥ῪḄᚁ0-2¢3,⚔¾3m,¶·-4m,ᑣ¶·Ḅ9+¾(15.A.15mB.12mC.9mD.7mஹ⚪1.LM¼½ABCDY,AD஻BC,AD=6,¼½-3,OᚁABḄᚁ0-1¢,CDḄᚁ0-1¢1,/AB,BCḄÀÁNBḄ0ᦪ.25-122.᝞25-12,RtAABC(;■ÆᛀÈÉᚁḄ¸Ê☢s.OᚁABḄÀ-12m,ËḄᚁ'-45°.-§ÌÍᛀḄ■ÆÎÏ,Ð[ÈÉᚁᦋ⌼ᡂᚁ©-1¢L5ḄOᚁAD,P/DBḄÀ.1Óᶇ᪷Õ5ᛀÖḄ¸¹☢-¼½ABCD,×ÉᚁADḄᚁ'-30°,ÈÉᚁBCḄᚁ0-1¢1,Ö⚔ABḄ¾-4m,Ö-6m,/¢115Ö+CDḄÀØ125×ÉᚁADḄᚁ0Ø135¥[±1000mÀḄᛀÖÙ0.5m,◤⌕ÛÜÝÞḄß123ᑮ1m35ಗ56

56;ஹ⚪1.᝞25-13ᡠ,;⁂ᙠãYäå,äæçãè³å,äᔣéê6ëᙠAᜐì,íèî;ïðᱥPᙠᓅóê30°,äå6ᓟᑮBᜐ,õíïðᱥPᙠᓅóö45°,ᑣçèîḄ÷ø-.2.;ùú20ûü/ìḄþ0BéöÞᔣäå6Eᓤ8,ᙠAᜐᛞḄᓅ30஺ḄBᜐ᝞25-14,!ᓤ9,$%Cᜐ,ᛞា(ᙠḄ)ᓅ*ᔣ,,,-ᛞḄ./023.567ᶇ᪷:;ஹ⌱>⚪1.᝞25-15,@A$ᑮCᜐ,CᑮDEBḄ*ᔣ0ᓅF35°,HIJKBCᑮ@Ḅ*ᔣ0.A.ᓭF35°B,ᓭ35°C.ᓭ55°D.ᓭ35°2.᝞25-16,OP!ḄPQᙠAᜐRSᛞMᙠᓅ60°*ᔣUV⁂PX2823/ḄZ[ᔣ)*ᔣA$,ᑮ\BᜐUᙠBᜐRSᛞMᙠᓅ30°*ᔣ.,UᛞM-PḄ25T6./0.A.723B,1423C.723D.142357

57_ஹ`a⚪1.᝞25-17,ᛞAᕜc1000mḄdeᑁᨵời,O…‷ᵫFᔣA$,ᙠ0ᜐᛞAᙠᓅ74°*ᔣmᓃV0,Ao.4200m.᝞6pᦋrAᔣU,…‷0ᔲᨵtờḄᓻ◅w(cos74°=0.2756,sin74°=0.9613,cot74°=0.2867,tan74°=3.487)25-182.᝞25-18,OX2023/ḄZ[ᔣ)ᓭ*ᔣA$,!ᓤ8A$ᑮAᜐ,ᛞDᙠ)F*ᔣ,2xA$ᑮBᜐSᛞᙠFᓅ*ᔣ.yzᓤ12A$ᑮC,-ᛞḄ./{ᛞᡠᙠḄ*.25T93.᝞25-19,MN⊤~dḄOm,KMᑮNḄᔣᓭ30஺UᙠMḄᓭ60°*ᔣ!ᨵOA,XAᙊ,500mḄᙊeQ,MN!OB,BAḄ*ᔣᓭ75°.MB=400m,a:᝞6pᦋr*ᔣUdm0ᔲQw`_U◀ὃ⇋ᵨ_¢ᦪ᜜,ᨵ¥⌕ὃ⇋§Ὺ_ஹ_ឋªḄ«ᵨ.58

5825-20᝞25-20,¬X2023/ḄZ[ᢇ¯⌕ᱥ±ᵫAᜐ²³)F*ᔣḄBᜐU´16ḄA$ᑮ\,ᑮ\xµ¶·ᓽᔂ¬,,,ºᑮ»¼½¾,•ÀÁz)X4023/ḄZ[ᵫAᔣᓅF60°*ᔣÂÃ,.ÀÁz20023ḄᙊeᒹÅÆÇᙳÉᑮÊË.1Bᜐ0ᔲÉᑮÀÁḄÊË?ÍÎÏᳮᵫ.2ÑÒÉᑮÀÁḄÊË,ᙠÀÁᑮᩭÔÕᔂÖ¬ᱥU«ᙠ×ØÙᑁÚ¬ᱥᔂÖwÛ⌱ᵨᦪÜÝ-1.4,-1.7L_ß_ßẆá_¢ᦪ{Ḅ«ᵨ._ßâãḄᨬå▤{ᜩᦻßᨵḼêᑗḄὶí.ᡃï⍝,ᔊòóôõö÷ᨵ᩽¯⌕Ḅùú,ᜩᦻßû0ᵫü℉ᔊòḄ◤⌕ÿḄ.᜜,◤⌕᪷ᜩḄᩭᙢḄᔣ.Ḅ◤⌕,!"#ᜩᦻ%&'()ᑗ+ᐵḄ-.%Ḅ/0.᦮2-.%Ḅᑁ45ᙠ189:;<ᝈ#>Ạ.@ABCDEḄFG,ᓾIᙠ189:ḄJKL.℉Nᦪ%PQRS-.TᦪUVWXḄYḄZ[\]^-.%ᙠᳮ`ab▭dᵨ☢ᜧᜧh"#ij.ᡃlmCḄᜩᦻ%n/o]n5?@,A59

59<=sin3°<.Eᙢ25-21ᵫG,HIJHᙢ,-LM஻ᙢ,-Ḅ18Oᑮ20O.Q7RSTUVḄᦪXY389OZ[\].^_`Ḅa"bᵫMcd[ᨴḄ89°51',f_b87஺hiḄ.^HᡠjᵨḄ?@,lmno,pqrstᡠu␺.3.ᙠᨴᳫyᵨᾙ{|ᑮ}~ᔩḄ}~,bᡃtḄ.=,ᨵsIJ“ᨴᳫ|ᙢᳫ.7yᵨᾙ{|ḄᱥbḄ}~.”bᔲ᝞G?ᡃt'ᑭᵨᦪᨵᐵ¢£¤Q¥¦@§¨omḄᑨI.Ꮇ«,s¬ᙠᨴᳫ,y|ᑮ}~.Q,ᡃt|ᑮḄb}~Ḅ⚔¯25-22ḄAB.56²³¢,sḄl´µ¶y·|¸Ḅᨬºᱥ»ᡠ¼ᡂḄµ1ᑖ.᝞,*NA0Bl´µ¶¿À}~ᡠ¼ᡂḄᨬºµᓽ/A0B=l',f}~⚔¯ḄÂÃABY10Ä.O6--------D25-22§0D±AB,ᚖÈD,ᑣZA0D=ZA0B=0.5',AD=AB=5ÄᵫtanNA0D=,0D=K=Ä-34506.556Ä^34.5ᓟÄ.QÐb¦,stᙠl´µ¶ᩩÒÓ¿À}~,ᨬ]Ôyᙠ-ᙢᳫ34.5ᓟÄᜐ.Ö6Q×,-,Ð|_}~Ø.b,ᡃt¢⍝,ᨴᳫTᙢᳫḄ,-Y380000ᓟÄ,b34.5ᓟÄḄ11000ÚO."G,¬ᙠᨴᳫI.,QÜ]Ḅᙢ?ÝÞ¿À,ßᯠb_yᵨᾙ{|ᑮ}~Ḅ.᝞Sᣚ7×äQ×â⚪ÝÞäå,æ'ç¨Q᪵Ḅâ⚪:}~ḄÂÃ᡽ᜧᑮìÜíÃ,îyᙠᨴᳫᵨᾙ{|ᑮᕖ?ðñt_òóôõA7Ó.öᫀb55ᓟÄ.øÐb¦᝞S}~⚔¯ḄÂÃᨵ55ᓟÄ,7×µ¶l´Ḅs,îy·ᨴᳫᵨᾙ{|ᑮù.ᵫG“ᨴᳫᵨᾙ{|ᑮ}~”ÔybstḄ7×úûḄüý,þÿᓾᑮ.ூᓫᐗ௃Aᔁஹ⚪1.᝞25-23•ᵫᓫ"#$%&ᡂḄ6X6+,.᪷./01:tanNl=,cotN2=,tanN3=,cotZ4=.60

6025-2325-242.᝞25-24,PNaḄ?0AA,BAPḄᙶ᪗EF3,4G,ᑣsina=,cosa3.KL┦NaOPcosa=,ᑣmḄRSU.4.KLNB┦NWsin6=,XijtanP=.5.ZᚁḄᚁ\i=l]2.4,^_ᚁNḄ`ᑗSbc.6.SAABCf,g+=0,ᑣNC=.7.᝞25-25,jkᦪy=ax+bḄpqAPFl,2G,BxrḄ#srtcAA,yrḄ#srtcAB,gtanNPA0=,ᑣABḄᙶ᪗.8.᝞25-26,vwxcfAᜐzᑮ{᪗C,|}KAC=1200m,xᙢ☢ᑴABḄNa=16°31',ᑣAᑮᑴABḄEm.Fᑮ1mG25-26A.B25-279.᝞25-27,E᪛ḄWὅᙠ᪛15mḄEᜐ,NACD=52°,KLὅḄCEE1.62m,ᑣ᪛E.Fᑮ0.01mG61

6130in20^^25-2810.ᙠᦋ⌼fW¡¢ᑜᙠ¡ᑁᙽ᝞25-28ᡠ/Ḅ§N%ᙢ¨©¨₝«¬ᓄ¯᛻.KL±¨₝«²$³´Eaᐗ,ᑣµ¶±¨₝«·¸◤⌕ᐗ.»ஹ⌱½⚪H.ᙠRtAABCfWZC=90°,gcosA+sinB=l,^_ZAḄᦪFG.A.30°B.45°C.60°D.ÀÁ12.᝞Âa┦NWBsin%+sin254°=1,^_aḄᦪFG.A.54°B.36°13.᝞25-29,ÄᩩÆÇE1ḄÈᩩ,tÉÊËÌᙠÍ,BÎÏḄtNEa,ᑣÎÏÊËÐᑖFf▢ÓÐᑖGḄ☢ÔEFG.A.B.C.sinaD.114.ÕᑡᔜØf#Ḅ().A.sin260°+cos260°=1B.sin30°+cos30°=1C.sin35°=cos55°D.tan45°>sin45°15.ᙠRtAABCfWNC=90°,ÕᑡØÜfÁᡂÝḄFG.A.sinA=cosAB.cosB=cotBC.tanA=cotBD.cotA=tanA16.Þa=sin60°,b=cos45°,c=tan30°,ᑣÎÏßàḄᜧâᐵä().A.c

62C.101520.ᙢóôfᓤ,öì□÷ᑮø⚔$úᓭ},ᐝïᙢ☢ᡂ80°N,üøýᓭḄþÜAB=1.8m,⌕ᙠþÜ᜜ᢱᐝAC,ᓤḄᐝᐭᑁ᝞25-31,ᢱᐝACḄ.A.1.8tan80°mB.1.8cos80°mC.mD.1.8cot80°mஹ"#⚪21.sin60°tan300-+sin45°.25-3222.᝞25-32,ZO90°,BC=1,ZBAC=30°,AB=AD,&NDḄ'()ᦪ+.'ஹ-.⚪23.ᙠRtAABC01ZA,ZB,ZCḄ23ᑖ5a,b,c,6NC=90°,ZA=60°,a-(-2)b=4,&73cḄ+.25-3324.᝞25-33,ᙠAABC0,ZC=30°,ZBAC=105°,AD±BC,ᚖ:D,AC=2cm,&BCḄ;.(.ᫀ>?᪷A)A25-3463

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7931.ᨵãõö÷ø,)õù⁐Ḅ,)õË⁐Ḅûüãõ÷øḄᦪý-180.ᨵᙠ᥎:ᓥ⁐ḄᦪḄ⁐ᣚ;ᯠ#ᤅᒴ&'()*ᨵ⁐,,ᨵ⁐-ᓥ()ḄᦪḄᣚ;᝞/01ᣚ23&4ᣚḄᦪ56789᪵Ḅ.;<:ᨬ#,>?ᩭA⁐ḄBCD98⁐Ḅᭆ᳛ᜧ,H8>?ᩭA⁐ḄBCD98⁐Ḅᭆ᳛ᜧ?JKLMNO᪗QᓫᐗTU•ᦪW•XYZ•[\^_ᨔaᑡcCdefgIᔁjẠᔁ*lᔁmn70ᑖr,sᑖ80ᑖ,ᡂvwᐭyᑖ-9ஹ{|⚪*~⚪2ᑖ&ᐳ20ᑖ-1.w:9=.2.ᓄ*x>0-CḄᑖ,.3.᝞a=-,aḄJ.4.x=x*x-2-Ḅ8.5.*nr2-x&x=l8ᐵxḄ9ᐗ3,ᑣmḄ8.6.᝞,CD8RtAABC§¨AB[Ḅ©,ᑣCᐳᨵ1ª«¬®.7.᝞,D,Eᑖ°8AABCḄ¨AB,AC[Ḅ¨&±²³9ᩩµm;AADE^AACB.*·◤{[¹ºJ»¼Ḅ9ᩩµ-8.*k-2-x2+*k-5-x-5=0ᨵ1Ḅ¿ᦪ᪷,ᑣk=.9.⌕ᵨ9ᩩÄ24cmḄÆÇᡂ9§¨ÄJ10cmḄȬ«¬,ᑣᩩȬ¨ḄÄᑖ°J.ஹ⌱Ê⚪*~⚪2ᑖ&ᐳ20ᑖ-11.ËᑡÌ»¼Ḅ8*-.A.-=B.=2C.=2+D.=2-12.Ëᑡ᪷ÍC,Î8Ï3᪷ÍḄ8*-.80

80A.B.C.D.13.ÐÑᐵxḄ9■ᐗ3*m-Dx'Zx+m'SmYRᨵ9᪷J0,ᑣmḄ8*-.4.-4ᡈ1114ᡈ-1C.-4D.-114.x=-28x2+mx-6=0Ḅ9᪷,ᑣḄØ9᪷8*-.A.3B.-3C.1D.-115.ÐÑx8Ù¿ᦪ,ᑣ4x?-4x+5Ḅ*-.A.ÚÛ0B.9Ü8»ᦪC.9Ü8ÙᦪD.ÝÞ¼ᐸàá16.ÐÑ=&âL*-.*ã17⚪-A.B.C.-D.-17.m,ÐÑDE஻BC,=&US.æçSèéḄJ*-.A.B.C.D.18.ᵨᩨᩚìíᜮ*᝞ᡠð-&C8ñò&±ᵨóôᩨᩚḄAõm,Ø9õBᔣ[÷ø,íᜮùúìû.üᨵ9íᜮ,⌕ýᐸþû,ᩨᩚḄBõÿᔣ10cm,ᩨᩚḄACBC51,ᑣ⌕ᙽ"ᜮ$,%&⌕'ᩨᩚḄA(ᔣ)*Ḅ+,-..A.10cmB.50cmC.60cmD.100cm19.3Ὺ56Ḅ7Ὺ83,9:;<--Ὺᚖ?,ᑣ56Ḅ7@A<)73B-..A.123B.22,53C.11,53D.11,5220.EFGHIJKL6ḄKᩩLḄ@N,ᡠPḄKL6QR6,ᑣSᩭḄKL6Q-..A.R6B.U6C.3Ὺ56D.:;

8125.ᐵBxḄIᐗtFmn+-m+l.x+m2+m+l=0-muᦪ.`pqJmnwᨵuᦪ᪷.-z26⚪.26.᝞|,AE஻BD,BE஻CD,SiaABEḄ☢,S?aBDEḄ☢,S,ABCDḄ☢.ip:S?&S,Ḅ@⚗.ஹ⌱Z⚪-\⚪ᑖᨵA,B,CW⚪`⌱IYZ`YḄ⚪ᑖ,ᨬᐳ14ᑖ.27.⌱ᐸ@I⚪YZ.-A⚪5ᑖ.zIFᙠᖪ¡¢£]ᖪ¤¥¦5ᐗ,ztF§¦¨]ᖪ¤©,ª«\Iᡭ-12£.®0.8ᐗ`¯zIF°10£,᪵,ztFᐳ¥¦2ᐗ,9ztFḄ]ᖪ¤ា³ᡂᡭ`µ¯zIFḄ]ᖪ¤Q&£¶-B⚪6ᑖ.·ᐹ¹º°Iᢇ¼½¾Ḅ⁚À·,ᐳᵨ¦400ᐗ,ᙠÂÃÄn@ÅᡭÆ°5Ç,¨ÈÉ)Ḅ·\ÇÊ®4ᐗᐰÌÍÎ`ᯠÐᵨᡠPḄÑÒ¹º°Iᢇ¼⁚À·`9Ó®F8Ô`ÕºḄᦪÖF9Ç,i\Ç·ḄÓ®.-C⚪7ᑖ.ᑴ⌼I¼Ù¤,Sᩭ\£ḄᡂÚQ500ᐗ,├Í®625ᐗ.᪷ܨ٤ḄÝ⁚ឋ`ßc¨Ù¤Ḅ├Í®zIJᨴ'á20%,ãztJᨴ'zIJᨴä6%.°ÀåztJᨴæçᢝS├Íᑭêë,ìí¨Ù¤ḄᡂÚîᙳ\ᨴðáñᑖò¶28.⌱ᐸ@I⚪YZ.-A⚪5ᑖ.᝞|`óBOCs^DOE.-1.ip:óACDs^AEB;-2.᝞øAB=3,BC=5,AD=4,iDEḄù.-B⚪6ᑖ.᝞|`AABC,ADEFᙳûW;6,D,EᑖᙠAB,BC,üýÎIJóDBE8þḄW;6ÿḄᳮᵫ.C⚪7ᑖ᝞ABCD,AB=a,BC=2a,AEFGsABCD,!AE=a."28⚪A82

82প%&'/XABESAADE;(2)᝞*ABCDḄ☢,630cm2.%AEFGḄ☢,.IIᔁᔠ5ᔁ(6ᔁ7830ᑖ9,:ᑖ10ᑖ,ᡂ=>ᐭ@ᑖ.ᙠBCᑁEFGᔠ6HIJᔁ,EFG᪷L◤⌕ᔠᳮᑖO,ᙠPQR⚪ḄSTU⌕VWᔠ5ᐳFYᡂZ[.6ᔁYᡂ\,᪷L]E^ᙠP⚪UḄ⊤`aSbc5def,ghᐸefjᐭk⊤UḄeflᑁ,mᑖlᵫᦟojᑏ)qஹbc⚪29.tOᔆ"Hvwxyaᐗ,{\]v|}Hvwx~dᐗᓽ'"Hvaᐗ,"v(a+d)ᐗ,"v(a+2d)ᐗ,"v(a+3d)ᐗ,(1)"nvḄwxyᐗ(ᵨa,d⊤)(2)ᔆnvḄ@wxya+(a+d)+(a+2d)+(a+3d)++("nvḄwx)=+=;(ᵨHE⊤)(3),ᔆ]v|}Hv~wx20ᐗ,"nvḄwxy180ᐗ,nvḄ@wxy600ᐗ,%n.83

83BCᡂᕒஹᑖOஹef⊤O5Z[efmᑖHIᔁᡃ@ᔁ᪷L@Ḅ,:ᑖ10ᑖ,ᐭ@ᑖஹ¡5¢30.1£HᕜᑁYᡂᦪG5¢Ḅ¦§¨©H⚪5ᑖ¨┯H⚪ᡈ¨0ᑖ,®©Ḅ⚪3ᑖ,g>¯]ᜩḄᦪG5¢ᔠ±᳛³■•ᕜḄᦪG5¢ᔠ±᳛2ᑖ᪆Hᕜᑁᡠᨵ¨┯ḄᦪG⚪,¹d¨┯Ḅº»:জ¾⚪¿À;ঝᭆÃÄÅ;ঞ>¯ᜫÈ;টᵨ┯Êᑣ.>¯d]H̺»ḄÍᑖ᳛,©ÎḄᦪGGϦ§ÐÑef,gLÒᦋÐÔ\ḄGÏÕÊ.ᡃ@ef⊤Ö×Øᔁ78ef^eÙᡂ=ÚÛUᳮÜGÝÞ^GÝßàZáᦟoâá᪗FäᓫᐗæÏ•ᦪG•çvו}èéêᨔìᑡîïðJ³ef1ᔁñẠᔁ6ᔁ7870ᑖ9,:ᑖ80ᑖ,ᡂ=>ᐭ@ᑖHஹjô⚪]B⚪2ᑖ,ᐳ20ᑖ1.⌕õ-2°=1ᡂø,ùúxḄüxþ.2.ÿxy<0,=.3.ᐗ3x+l2-4=0Ḅ᪷.4.᝞ᐗx2+px+q=0Ḅ᪷ᑖ!"2-#2+,ᑣp=,q=.5.&ᖪ()*Ḅ+▤-.ᙢ☢0.5m,"234567.ᖪ8,9ᖪ(:ᜓ<ᩩ>?᫹ABCᚁE1G7ḄIᚁJKLIᚁḄM".NᫀPQ᪷R6.TUVᨵᵯYᩚᙠᙢ☢VḄ\M"40]^_`,᪷-"1.2]Ḅaᩚᙠᙢ☢VḄ\M"2],ᑣᵯYᩚḄ-".7.ba,b,x⊤fgᩩYh,Ca=2~,b=2+,xa,bḄijk⚗,ᑣx=.8.noAABCSAA'B'C,SAABc=acm2,SAA-T=4acm2,KLwABC^4A'B'CḄxyiB".z9⚪9.᝞},~ABCDḄkYEFḄM"a,-"h,ᑣ}k▢\ᑖḄ☢",84

8410.ᨵ2ᳫ,2ᳫ,2ᳫJ◀⁐`᜜,ᐸ☢ᨵ.KL`᥎.2ᳫᐸkᨵᳫᳫḄᭆ᳛".ஹ⌱¤⚪¥⚪2ᑖJᐳ20ᑖ11.noᐵ¨xḄx2+ax+b=0Ḅ᪷"x,=3,xz=4,ᑣg⚗ªx2-ax+bPᑖ«".A.x-3x+4B.x+3x-4C.x+3x+4D.x-3x-412.ᙠ4ABCkJZC=90°,cosA=,ᑣsinAḄ²³¨.A.B.C.D.13.ᙠ4ABCkJZA#NBµ┦·,CsinA=,cosB=,AABCḄ¸.14.᝞}JᙠwABCkJDE/7BC.bSw=Sᑣ»ᑡᐵ½kJ¾¿Ḅ.A.ADGDB=2GIB.AD:AB=1GC.GSA»C=1G4D.DEGBC=1G215.ÂᐜÄᨵ4Å`ḄÆ⊟#4ᩩ`È⁐Ḅ⚞QJ⌕Ë⚞Q#Æ⊟ÌÍ,ᑣ`ḄÌÍÎᐳᨵ.A.12ÏB.16ÏC.8ÏD.4Ï16.ᙠГÒÓÔÕÖ×Ø”,ᑖ`ÚÛᜮᨵÕÖJ¨Ýᑮᵨ!Ḅàᱥᩭãä7A×Ø.KL,ᙠå»ᡠᵨḄãäᱥk,çè"iéᔠ〉Ḅ.A.ìíᳫ,⁐,îï⁐B.ðñòᐰx`Ḅôõö÷øC.Âᡫúû,Âü,îÂý᪻D.ÿᡫ,,᪻17.ᨵ1ᳫ2ᳫ,◀⁐᜜,ᐸ!"☢$ᐰ&',ᤅᒴ*+,᥎./ᳫ,ᯠ*12,ᤅᒴ*3᥎./ᳫ,4᥎.Ḅᳫ6ᳫḄᭆ᳛9:;.A.B.C.D.18.ABCD/EF,ᐳ280⚓,⌕ᙠᕜḄCMᑁO$.P!OD/QR,STUᙳWᜩ⌕YO21⚓Z[ᙠCMᑁO$.\]!O^/QR,UᙳWᜩOY_⚓?᝞bcO^/QRdUᙳWᜩOFx⚓,ᑣg☢ᑡ.Ḅ"i,djkḄ:;.A.+=14B.+=14C.+=14D.-=l19.᝞rdᙠstuABCD,,AD=BC,EஹFஹGᑖ{ABஹCD,ACḄ,|d}NDAC=14°,NACB=60°,ᑣ/FEG:;.A.47°B.46°C.41°D,23°20.uḄ,uᑖᡂḄᑖ☢Ḅ912,ᑣugḄ:;.85

85A.12B.13C.14D.15ஹ⚪(WA⚪3ᑖdᐳ6ᑖ)21.(—1)(++1).22.sin2300-3tan300+2cos60°.sஹ¢£⚪:WA⚪6ᑖdᐳ18ᑖ;23.ᙠRtAABC,,ZC=90°,c=4,b=2,§ta¨NA,ZBḄ©ᦪ.24.«¬®:ᙠ°/¬Ḅj☢±⁐᪗³,´☢±µ⁐᪗³;ᙠ°·¬Ḅj☢±µ⁐᪗³,´☢±¸⁐᪗³;ᙠ°¬Ḅj☢±¸⁐᪗³,´☢±⁐᪗³.'R¹¬®,ᑏ.ᡠᨵ¼[.TḄ½¾Ḅ¿b.Àgᑡ½¾.TḄᭆ᳛+AᑮᜧᙠÃ᣸Å:®Æᙢ*প⁐ᔜÊ&'Ë:2;6⁐Ë:3;•µË:4;µ/.25.᝞rdAABC/ᙽÎᧇ,tBC=120mm,ÑAD=80nm,⌕ÒÓᡂj"udÔ/tᙠBCᓃᐸÎ⚔|ᑖ{ᙠAB,AC±,j"uؾḄtY_ÙÚஹ⌱£⚪:WA⚪ᑖ{cÜA,B,CÝ⚪Þd¼ß⌱/Ý¢£dY¢Ḅ⚪Êàáâᑖ,ᨬѼâ16ᑖ;26.:AÝ⚪6ᑖ;᝞r,ᜩä,ᨵ/☟æḄçèéᳫC,ᙠ'/Rê+ᙢ☢|Aëì|CḄíî945°,+ᙢ☢|Bëì|CḄíî960°.ïðAB=20m,|CÃABᙠ'/ñᚖU☢ᑁ,§éᳫóᙢ☢ḄÑ©.:¿bôᶇ᪷÷;:BÝ⚪7ᑖ;/'øëùúû.ᙠúü/|AýëúþütḄA᪛C,ACḄᜳ45°.ᔣ200ᑮB,Ḅ᪛C,BCḄᜳ30஺$%&ᑴ(᝞*ᡠ,Ḅ-*..:01234ᔲ67(89:4,;<=ᳮᵫ;A4$;B67(8.86

86CCD⚪8ᑖHIJKLᨵNOᔣPᓭRᔣḄJKSC᝞*ᡠ,H.TJKSḄNSUV6ḄLXY,XYZ[UJK\].ᙠTSḄ☢15ᜐ⌕cNdV20ḄeS,fghPᓤḄ□ᐝlmnḄᜳ32°o-qCr26⚪AHCr26⚪CHC1H.qXYZ[ḄJK\]sᐝUᔲtᑮuvwxywC2HA⌕zXYsᐝ:tuv,{S|}~wCᶇ᦮ᦪ$ὃᦪ:sin32°$cos32°~,tan32°tH27.CAD⚪6ᑖH᝞*$ABCD,AB=CD,E,F,G,HᑖUBD,AC,AD,BCḄ.¡qEHFGU¢.CBD⚪7ᑖH᝞*$ABCD,EAB[N$AADE£4BCE¤U¥¦,AB,BC,CD,DAḄᑖP,Q,M,N.¡qPQMNU¢.CCD⚪8ᑖH᝞*,ᙠaABC$ZACB=90°,BCḄᚖ®mᑖnDE¯BC°D,¯A°E,FᙠDE±²n[,%³AF=CE.87

87Cr27⚪BHCr27⚪CH(1)¡qACEFUm¶;(2)fNBḄᜧ¸¹xyᩩ»o,ACEFU¢?;½¾%¡=BḄ¿;(3)ACEFᨵÀ4UPRᔩ?xywIIᔁᔠÅᔁ(¾ᔁoÆ30ᑖÇ,È⚪10ᑖ,¸ᑖ20ᑖ$ÉÊ6ᐭÌᑖ.ᙠÍᑁ$Ï23ᔠ¾NÐÑᔁ,Ï23ÀZÒ}ᑗÔ,ᙠÕÖ.⚪o⌕×ØᔠÅ,ᐳ2ÚᡂÜÝ.¾ᔁÚᡂÞ,᪷ÈàᙠÕ⚪áâḄ⊤ä,åáæ¿,çÈàÅ(èé,%êᐸèéìᐭí⊤Ḅèéîᑁ,ᑖᵫᦟðìᑏ.)28.NÏòóᨵᙳᒴöᔠḄ3Ï÷ᳫஹ2Ïúᳫஹ1Ïûᳫ.üý◀ÿ⁐᜜,ᐸ☢.ᑖ2ᳫ.(1)᪷ḄᳫḄ⁐ᑏ⊤,!"#$Ḅᭆ᳛.'(*ᳫ')+ᳫ$ḄᭆX=᳛(2),-⁐Ḅ.ᔠᭆ᳛ᨬ1(2341*ᳫஹ1+ᳫ61+ᳫஹ1*ᳫ$789(:.ᔠ);,-⁐Ḅ.ᔠᭆ᳛ᨬ<;29.?ᨵ4(ᐗ(CDE:জx>1;ঝ*>;;ঞNO;@x>-l.(1)SCDE4᪀ᡂḄCDE.ḄVW(XYx>lᔩ;(2)[\(,]]SCDE᪀ᡂḄCDE.ḄVW(XYx>lḄᭆ᳛ᨵ^ᜧ;(3)aᑖb᪗ᨵᦪef4ḄgḄhᳫiᙠ(CklḄmn,So᥎hᳫ4ᵨ[\Ḅrsᐸᦪetu97Ḅᭆ᳛.6ফḄx⚪z{|},ᦪ~Ḅlx⚪ḄḄὶ..ᡂᕒஹᑖஹ⊤8SᑖHIᔁᔁ(᜜ᡂ,ᢥᦟXḄ3ᔁ,ᑖ20ᑖ,ᡂ¢£ᐭ¥ᑖ)88

8830.ᑭᵨ~§~¨©Ḅª(«ª)¬ஹᡈV®¯¬Ḅ°±4²{³"ᡂ(´µS,¶·Y´µ¸¹ᱥḄ1,»¶·Y´µᱥ¼tḄ½¾.(1)Sᵫ²ÀXÁ(2)¶·6ᐸ~ᔠ8.Â᪗ÃᓫᐗŨ•ᦪ~•ÇÈÉ•ÊËÌᨔᑡᐹÐ1.°±⌕Ò'22Ó)᪷E1.¬᝞(a20)ḄEÖ×Ø)᪷E.2.Ù⌕ឋÛপ(),;(2)=|a|.ᓽa203,=a;a<03,=-a.3.Ù⌕ᭆáÛ(Dᨬã)᪷E——åæᦪCçᑖè,!éåæᦪᡠᨵëEḄìḄᢣᦪhî2;(2)ï)᪷E——åæᦪᐰḄ(ïᨬã)᪷E.4.ñ#rᑣÛ(1)órrᑣÛ4=ᓃõ஺,b20);(2)øḄ#ùú᪷—órḄ⌮ᔣñ#Û=,(aு0,b20);(3)◀rrᑣ:=(a20,b>0);(4)ÿᑣ—᦮Ḅ᪷ᔠ.5.᪀23ᐗ"#1.ᐗ"#Ḅ%&'()*+,";.ᑖ(;0";1.2.ᐗ"#ax123+bx+c=0Ḅ9᪷1:x=.(b2-4ac>0)3.ᐗ"#᪷Ḅ@&ABCᐗ"#ax2+bx+c=0(aWO),(1)Gb2-4ac>0H,"#ᨵJKLMNḄOᦪ᪷Q(2)Gb2-4ac=0H,"#ᨵJKMNḄOᦪ᪷Q(3)Gb2-4ac<0H,"#SᨵOᦪ᪷.TUV⌮XᩭZᡂ\.4.ᐗ"#Ḅ᪷]^ᦪḄᐵ^Xi,xzcᐗ"#axbx+c=O(aWO)ḄJKOᦪ᪷,ᑣXi+x=-,x1x*.25.ᐗ"#Ḅ᪀89

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9122.1᪷ூ௃ஹLxA,aீl2.x24,4ஹ1.B2.D3.D@ஹ1.(l)-3WxW3(2)x=3(3)x=2(4)x24|xW52.(1)-(2)-3.(l)x+l(2)1-xூý௃Lᵫᨵÿx=2,ᡠy=l,ᡠx2-xy+y2=3.2.ᵬ,┯.Ḅ,=-(1-a).3.xJ(-x)2>0,"-=-|x|<0,ᡠ=2-(x=0%,&'()22.2)*᪷,Ḅ-◀(/)[|0]]—>1.22,(32)2;2,32;182.17+8,17-8;153.3X2,64.3)ஹl.C2.B3.D>ஹ1.32.3.244.-3a22.(1)b'-a(ABCa+bு0,a-b<0)(2)-203.(1)168.S&Anc=ab=ூF௃1.(1)3-4(2)(2+3)(2-3)=(2)M(3)J62.3>23.᝞OPᡠB(ߟ)ூR௃/ஹl.a2l2.-2(x+y))3.-5a)ஹ1.D(AB:m<0,ᡠ=-(-m)=-=-)2.D(AB:==•ᡠVᨵ-a20,a+120,ᓽaWO,a2T)3.D(AB:=)>ஹ1.(1)15(2)202.(1)(2)(3)(4)(5)3.54.6ூF௃LA(ABCV]^_ᩩa1-xOO,l+x'O,ᓽ2.2b+2c(AB:>bcḄdefgᜧij>e,ᡠa+b+c>0,a+b-c>0,a-(b+c)0,>0,lm(M=2-,=2-,ᡠ=(>)ூR௃/ஹ1.2,2.,3.x,(x-1))ஹ1.C2.A>ஹ1.(1)(2)1(3)(4)1(5)(6)2.(l)2-2x(2)-x3.x&6,24,54,96.==5,᪷p⚪r6xst/uvᐰxyᦪ,m0ஹ1.(1)-(2)-(3)-(4)2.x=l,y=lூF௃1.'Ὺ>bcḄᕜ4+3,ᡈ2+6;☢ᡈ3.2.(1)-8+2(ABC-+=-(-))(2)43.(l)a=n(2)c=m,h=mᓫᐗAᔁ1.3,2.m2஺3.34.25.6.27.28.9.D(AB:x=2%,2-(<0)10.D11.D(ABCফ⚪(-2kḄxy᪷23;(4)⚪,1,ᑣ-1ீ0)12.A13.C14.D(AB:᪷p⚪ryᦪ>0,ᡠa-b<0)15.D16.A17.A18.B92

9219.-20.-21.4022.123.6+24.-2-125.12+4(ABCx'-xy2=x(x+y)(x-y)=(+l)X2X2)26.4(ABCa2b+2ab+5b=b»[a2+2a+()2]=b(a+)2)27.12cm28.-===4,t/uᨵᳮᦪ.Bᔁ29.B(AB:xḄ&tx22,x&ᨬ¢,ᓽx=2%£ᦪ,Ḅᨬ¢)30.(1)2s(2)¥2.45s31.14(AB:===ᡠa==2,b=ᡠ2a2+(l+)ab=2X2%(l+)X2X=8+()-l=14)32.(l)x=/(AB:§¨©(9-5)x=-2)(2)(AB:yªx+(+l)y=+3,«cx+(2+)y=2+3,ᯠ¨ᵨ¯ᐗ,©ᑮy=2+2)j23±/ᐗ)*yª23.1•ᐗ)*yªூR௃/ஹ1.x2+x-3=0,1,1,-32.W13.-14.1)ஹ1.A2.B3.D1.(l)3x2-5x-2=0(2)6x2+x-5=0(3)x2-x-4=0(4)x-l=02.x=3gx=-lt²yªḄ,ᐸ´µt3.¶ᕜ·ᙢḄ¹ºx»,᪷p⚪r,©(36-2x)(24-2x)=X36X24[F]Sm-aSn-bS*a½0nt,-a(a"+p")-b(a-'+P"-,)=anH-an-ba-+B"*'-aP"-bPaa|(a2-aa-b)+BnT(B2-aB-b)=023.2/ᐗ)*yªḄ(/)ூR௃/ஹ1.Xi=-1,X2=22.xi=0,X=23.xi=4,x=-44.xi=2,x=-2222)ஹl.D2.B3.D4.B>ஹ1.(l)xi=3,Xz=-3(2)Xi=4,X=-4(3)xi=l+,X=1-(4)XFI,X=-3222(5)XI=1,XZ=T2.X=±ூF௃a>0%,xi=,x=;a=0%,Xi=x=;a<0%²yªÉÊᦪ22())ூR௃/ஹ1.Xi=,X2=22.Xi=-3,X=23.xi=-2,X2=-l2)ஹl.B2.C3.A>ஹ1.(l)xi=0,X2=3(2)XFO,x=-(3)xi=X2=-2(4)xi=-2,x=222.Ëygᡈy)%d£ᦪ,ḄÍ'3.5ூF௃প᝞x2-x=0'ফ᝞x2-3=0'(>)ூR௃/ஹL(1)36(2)1(3)±6(4)±202.±83.4)ஹl.B2.C3.A4.C>ஹ1.(1)xi=l,x=(2)XF-2+,X=-2-(3)XLX2=(4)XF,X=2.x2-4x+7=x2-4x+4+3=(x-2222ᓲ3233.ூF௃4x2+y2-4x+6y+ll=4x2-4x+l+yJ+6y+9+l=(2x-l)'+(y+3)2+l1,ᦑÑÒᦪ.ᨬ¢1,Ó%x=,y=-3(Ô)ூR௃/ஹ1.x=(b2-4ac^0)2.-4ᡈ23.-5)ஹ1.D2.A>ஹ1.(l)xi=,x=(2)XI=X=22.(l)xi=l,X=-5ফÖ¨×ᑑ3.XF,x=2222ூF௃Ùx=,ᑣxtyªx2-x+a=0Ḅ/u᪷.ᡠ²,)xC'-x2+ax+4=x(x2-x+a)+4=4(Ý)ூR௃/ஹ1.5ᡈ-32.1ᡈ23.44.-1ᡈ)ஹLC2.A3.D4.C>ஹ1.(l)xi=-l,x=(2)Xi——a,X2)a2.33.2ᡈ32ூF௃(1)ᣚᐗÛᓄ(2)Xi—,X2——(Þ)ூR௃/ஹ1.20%2.10%)ஹl.C2.C93

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99ç´èé:êë¯ZNz4\/Kç´èé:ìë¯ìë¯ìë¯ç26⚪ç´᥎ᳫ&HAAç%´îᳫ&bbç27⚪B¬29.1SÈ,~uIᵬ345ᦪðñ2ò´óôõ,~uSöO1ᐗḄ÷ø,5sḄ÷ø=ùO1sḄ÷ø,úûḄüýOᙳᒴḄ,Vÿ☢ᡈ☢ḄᙳḄ,ᡠᵨ6,⁚ḕḄ,!"⌼ᡂ%&'3)*+,Ḅ-.┯0Ḅ1ᵫ3456,☢7897:;Ḅ,ᦑ=ᨬ6?ᑮ☢78Ḅ⚣᳛CDE;Ḅ.G;Ḽ5ᦪḄJK1LM☢78Ḅ⚣᳛DNOᙠ0.5TU,*+V?ᑮ☢78Ḅ⚣᳛0.5039X0.5ᶍᜧ[\\,DE]O^Ḅ_Ḅ30.'1)ᶍ'2)bcdḄ5ᦪJᜧ,cᑮefḄ⚣᳛⌲hNOᙠ25%TU'3)•klm[noᙳᒴḄq☢rst1uᙢLM1\7:;[kl:yzᵨ4|ᡫ~,ᐸ[|᪻,[|ef,[|᫥,[|ᙽ,8,᥎L[|ef'4)LMefḄᭆ᳛l1b5ᦪᜧ61LMefḄ⚣᳛z'5)31.ᩭ⁐tḄtd[t⁐Ḅᭆ᳛,ᩭ⁐tḄtd[t⁐Ḅᭆ᳛[᪵ᜧ¡Iᔁ¤Ạᔁ1.2.3.a<04.x=0ᡈx=35.m«lmW26.37.NADE=NC,ᡈNAED=NB,ᡈ=8.-5±29.6cm,8cm10.48cm211.C12.C13.C14.A15.B16.B17.C18.B19.D20.D21.º=-4X2+9T2-=-ll22.¾===k,ᑣx=3k,y=5k,z=7k,Ãᐭ=723.ᵫx2-6x+l=0,?'x-3)2=8,.\x,=3+2,X2=3-224.xc='ÆÇ1⌕Éᣵ“Ì”ÎÏ)25.AXm+DyxX'm2+m+l)=-m'-l<026.ÑÒ:ᐜÔ=,=;ÕÔÖAEBs^BDC,==;ᯠ6Ú?=S327.AÜ⚪¾^Þ[5ßàᖪâxã,᪷å⚪Ç,?-=.æçèé?x,=50.X=-15.êÌ2,x,=50,=-15ᡠᑡéḄ᪷1Gx=-15ᔠ⚪Ç,Díî,ᡠx=50.ï:^Þ[5ßàᖪX2â50ãBÜ⚪¾4ðñḄò¡lxᐗ,᪷å⚪Ç1?4X-5x=9x.æçèé?x,=10xôõêÌ;,x,=10,xz=-ᡠᑡéḄæ1Gx=-ᔠ⚪Ç,Díî,ᡠx=10.ï:4ðñḄò¡l10ᐗCÜ⚪¾EôâḄᡂö÷ᙳ4ᨴùúḄûᑖᦪlx,᪷å⚪Ç,?625X'1-20%)X'1+6%)-500X'1-x)2=625-500,æ?Xi=0.1,x=l.9.êÌ,xkl.9ᔠ⚪Ç,íî.ᡠx=0.1=10%.ïmE2ôâḄᡂö÷ᙳ4ᨴDùú10%28.AÜ⚪lÖBOCS/SDOE,ᡠ/C=/E.ᡠACDS/\AEB.ᡠ=.AC=8.AD=4,ᡠ=,AE=6,ᦑDE=6-4=2B⚪aDBE£"#$$%&.ᙠ4DBE()ZB=ZC=60°.ZBDE+ZBED=120°,ZBED+ZCEH=120°)ᡠNBDE=NCEH,ᡠDBEsaECH"2#3(ADG,ABED,ACHE56FIG%&,⌱:ᐸ(<=>%&5?@C⚪AB#"1@:CNBAE=NDAG,=)ᓽ?ABES^ADE"2@280cm2IIᔁᔠJᔁ100

10029."l@a+"n-l@d"2@na+n"nT@dᐗ"3@᪷S⚪T?ᑡVWXYZ[VWX)"\]^ᔠ⚪T,_`@.ᡠn=4IHᔁaᡃcdᔁ30.ᶍfghijkIᔁlẠᔁLx20pxW42.-2xy3.Xi=,x?=T4.-4,15.m6.24w7.38.9.ah"AB#SAw=ABXh,SAKT=DCXh,AB+CD="AB+CD@=X2EF@10."ᡈ60%)ᡈ0.6@11.C12.D13.A14.B15.B16.D17.A18.C19.D"AB:FG,ᑣFGAD,EGBC@20.D"AB:ᵨ☢6(ᑖḄឋ@21,-222.-▲£Ḅ᱐ᦻ*8123.ᙠRtAABC()ZC=90°,c=4,b=2,a==2.cosA==,ᡠ/A=30஺.NA+NB=90°)ᡠ/B=60°24.᪛3᝞3ᡠB#25.PN஻BC,ᡠAPNs^ABC.£¤V¥¦xmm,ᑣ=,ᓽ§Yx=48.¨:Z[¤V©Ḅ¥¦ª48mm26.A⚪JCD1AB,ᚖ¬D,£ᳫ¯ᙢ☢Ḅ±xm.ᙠRtAACD()ZCAD=45°,ᡠAD=CD=x.ᙠRtACBD()ZCBD=60°,ᡠcot60°=)ᦑBD=x.AB=AD-BD,ᡠ20=x-x.ᡠx=30+10.¨:ᳫ¯ᙢ☢Ḅ±ª"30+10@mB⚪Z²³´µ¶·¸¹.ºCJCD±BA¼D.ᙠRtACDA()ZA=45°,CD=AD.ᙠRtACDB()CD="AD+200@•tan30°,ᓽCD=•CD+,ᡠCD=100+100.¨:¸¹ª"100+100@wC⚪"1@᝞3)£CE=xw)¾UAF="20-x@w.tan32°=,ᓽ20-x=15tan32°)Yxgll.1D6,ᡠÁÂÃÄḄÅᐝÇᑮÉÊ"2@᝞3)tan32°=,BF=20X=32.ËÌÍ%Î32w"Ï26⚪Cপ@"Ï26⚪Cফ@27.A⚪ᵫAG=DG,BE=DE,GE=AB.²ᳮ,HF=AB,ᓽGE=HF=AB.²ᳮ,EH=FG=CD.AB=CD,ᡠEH=HF=FG=GE,ᦑÔ¥EIIFGªÕB⚪᝞3,AC6BD,VAADE^OABCE5ª×¥§Ø),NAED=60°=ZCEB./.ZAEC=ZDEB,´Ù:AAECÚ4DEB.)AC=BD.ᵫ§Ø(Ḅឋ,?:PQ=AC.Üp²ᳮ?MN=AC,QM=BD,NP=BD..\PQ=QM=MN=NP.101

101C⚪᝞3."1@DFªBCḄᚖÞᑖ,ᡠDF_LBC,DB=DC,ᡠNFDB=NACB=90°,ᦑDF஻AC,Eà¥ABḄ(á)ᡠCE=AE=AB,ᦑN1=N2.EF஻AC,AF=CE=AE,ᡠZ2=Z1=Z3=ZF.ᙠaACE6AEFA()ᡠ4ACEâEFA,ᦑAC=EF,Ô¥ACEFªãÔ¥"2@ä/B=30°å)Ô¥ACEFªÕ.ᙠAABC()NACB=90°,NB=30°,ᡠAC=AB.ᵫপ?æ,EªABḄ(á)ᦑCE=AB,AC=CE,ᡠ^ACEFªÕ"3@Ô¥ACEF^?´ª¤V.ᵫপæEªABḄ(á)ᦑCEᙠ4ABCḄᑁè,NACEËîï·ḄᳫḄðñª᝞òᑖḄ@.Ï=îóᳫóᳫóᳫôᳫôᳫôᳫõᳫõᳫÏöîôᳫõᳫóᳫóᳫõᳫôᳫóᳫôᳫ%ÍḄᭆ᳛XXXXXXXX"2@ï·=[óᳫ)=[ôᳫḄᭆ᳛+=)ᭆ᳛ᨬúï·=[óᳫ,=[õᳫḄᭆ᳛+=;ï·=[ôᳫ,=[õᳫḄᭆ᳛+=;ï·Ë[óᳫḄᭆ᳛úï·Ë[ôᳫḄᭆ᳛,ᭆ᳛ᨬü.29."1@^=ý)᝞ïজঞḄlீx<42ব⚪Ḅᱥᡈᱥ⌱ᱥ,"#᪵ᙢ,ᙠᱥ,ᡂ(Ḅᭆ᳛.ᡠ-,ᦪ/Ḅ0123,45ᙠ67289⚪IIIᔁ<=>?ᔁ30.ᶍ102

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