四川省南充市2021-2022学年中考数学模拟试卷（一模）含解析版

《四川省南充市2021-2022学年中考数学模拟试卷（一模）含解析版》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

ூ
⚗ᡭẚ௃ḕᓭᐙ2021-2022ὃᦪᔁᔁ᱐ஹ⌱⌱ᜧ⚪ᐳ10!⚪"#!⚪3ᑖ"ᐳ30ᑖ#!⚪%ᨵ'()AஹBஹCஹD*ᫀ⌱⚗"ᐸ-⌕/01Ḅ"3401⌱⚗Ḅ'(5ᙠ78Ḅ9(ᑁ.5ᑏ01=3ᑖ">5ஹ5┯ᡈ5AḄ'(BC"=0ᑖ.1.J^3+
-9Ḅ_`/A.-12B.-6C.+6D.122.aᑡc^01Ḅ/A.a2+a3=a5B.(-a3)2=a6C.ab2*3a2b=3a2b2D.-2a6-^a2=-2a33.᝞E/FGᔆ⌕IJKLMᵫO7PḄ!QRᙽTᡂḄVWX"ᑣZḄ[\E/in4.F)᎝e⁚gᵨi"jkᑖlmn.o#ᡝ#ᨴᵨi>BC20m3,#QRrmn2ᐗtoᵨiBC20m3,BCuᑖ#QRrvᦈ1ᐗ.!xy5ᨴz{in64ᐗ"ᑣ|y}ᨴᵨi
m3.A.38B.34C.28D.445.᝞E"!xᙠᙽ~ᙢ"ᐜᙠBᜐ⚔AḄ)30஺"ᯠᔣ100rᑮCᜐ"⚔AḄ)45஺"AD)r_`ᶇ᦮ᦪ"ᶍ>J"72=«1-414,73^1.7321⚓/28⚓

16.ᦪa,b,cᙠᦪ¡¢8Ḅ£᝞Eᡠ¥"ᑣaᑡ¦§01Ḅ/-4b0c*acA.a-c>b-cB.a+cbcD.<—bb7.ª«¬AஹB®ᙳᒴḄ!QRX#☢ᑖ²᪗ᨵᦪ´1,2,3,4,5,6,I®QRXµḄᦪ´ᑖ²)xஹy,¶·¸1¹£P
x,y,£Pºᙠ¬ᱥ¼y=-x?+3xḄᭆ᳛)1111A.—B.-C.-D.-181296f2x+l>08.ᐗ>¿¦À<,ÂḄÃÄ"᦮ᦪÃḄᦪ/[x-5<0A.4B.5C.6D.79.᝞E"·¿ÅÆÇABCḄBCÅ)ÈÉÊᙊ"ᑖ²{ABஹACÌ£EஹD,DF/ᙊḄᑗ¼"C£FÎBCḄᚖ¼{BCÌ£G.oAFḄÐ)2,ᑣFGḄÐ)C.6D.2610.᝞E"¬ᱥ¼y=-x2+2x+m+I{x¡Ì£A
a,0ÑB
B,0,{y¡Ì£C,¬ᱥ¼Ḅ⚔£)D.aᑡᑨÓÔজÖx>0«"y>0tঝoa=-l,ᑣb=4tঞ¬ᱥ¼ᨵ®£P
xi.yiÑQX2,y2,oX1<12,ᑣyi>Ú2tট£Cᐵ̬ᱥ¼¢Ý¡Ḅ¢Ý£)E,£G,Fᑖ²ᙠx¡Ñy¡"Öm=2«"ÅÇEDFGᕜÐḄᨬ!à)6ᙠ"ᐸ01ᑨÓḄá(/2⚓/28⚓

2B.ঝCঞD.@âஹ5ã⚪ᜧ⚪ᐳ6!⚪"#!⚪3ᑖ"ᐳ18ᑖ3ä*ᫀå5ᑏᙠ*⚪ᓱ¢8ç¼.11.16Ḅ^è~R᪷/.12.᝞E"¼AB஻CD,BC~ᑖ/ABD,Zl=65°,ëN2Ḅìᦪ.13.F6ᨴzíîïðJ᝞Eᡠ¥"ᑣᙠíîïñÀᦪò"óᦪ/࠷,õᦪ/࠷.14.o¦§ö÷+
k-1஺ᨵùú"ᑣûᦪy=
k-1x+1-kḄEü¹ü▲.15.ᨵ®ᐗâþRÿMax2+bx+c=0,Ncx2+bx+a=O,ᐸa+c=O,ᑡḄᑏ.জ᝞MᨵḄᦪ᪷#$%N&ᨵḄᦪ᪷'ঝ᝞Mᨵ᪷)*#$%NḄ᪷)&*'ঞ᝞M,Nᨵ-*Ḅ᪷#$%.᪷/x=l'ট᝞5MḄ-᪷#$%!NḄ-᪷.16.2345678ᑗ᝞:জ;<4ABCD,=2<4ABCD5>?7BD@ᢚ#BAC3⚓/F28⚓

3GᙠDCḄBFI#᝞:ঝJKAFLBDMBE,B஺BDḄB.O70DB஺PQR#ST┐QRLDCMN.VB஺W஺M_LONLBCMM,JKMN.XAD=2,SCD=y.IWABᑣZCMNᕜ\Ḅᨬ^_P,aஹcd⚪fᜧ⚪ᐳ9^⚪#ᐳ72ᑖ17.jk712-11-V3I-2017+n0-2sin60°.18.Pl-mno"□ᐝst"ᜧuv#wxy>z{|ḄA}ᳫ#B#Cm#D᣸ᳫ⚗Ḅᐜlo#ᑖᐜ#2ᑴᡂ:1,:2Ḅj:#:Ḅcdᑡᡂ1jkf“m”Ḅᐜ¢ᦪ,ᡠᓰ¥ᑖ¦#2j:⊡ᐙ©ª'
23«“m"Ḅᐜ#ᐸᨵ2«ᵱ#1«᝕#®¯.3«ᐜ°±2«ᐜ#ᵨ³᪛µ:ᡈᑡ⊤Ḅ¸#¹º»¼ᑮ-ᵱ-᝕Ḅᭆ᳛.19.zÀ᝞:#Z\ABC#AB=AC,ADBC

4(2)JKDE,7ÅDEÆABÇvᨵÈ᪵ḄᙢË,ᦪÌᐵÎÏÐÑÒḄ.20.zÀᐵMxḄ-ᐗÔx2-(m-3)x-m=0.(1)ÖᑨØÙ᪷Ḅ'(2)XÚᱥ7y=x2-(m-3)x-mÆxÜLMA(xi,0),B(x,0)B#ᑣA,BB2vḄÝÞßᔲáᙠᡈᨬ^_ÏXáᙠ#¹º._'Xáᙠ#▊Ñᳮᵫ.(åæçèAB=|X2-XI|)21.᝞:#éᦪê=ì+6(î0)Ḅ:ïBC(3,0),ðÆᙶ᪗ÜóᡂḄa?4Ḅ☢õP(1)¹öéᦪḄc᪆ø'(2)X*¦ùéᦪú=—Ḅ:ïÆöéᦪḄ:ïLMÔஹï▲ᑁḄAஹBB#ðAC=2BC,X¹mḄ_.22.᝞:#ᙠ஺þÿ
4c0,ZCAFNACB,5ᯠE.(1)ACLBD7(2)/14,cosZCAB=-,8Ḅ.823.“ᐜ"”ᡂ%&'ᙠ)*+,-ᛋ/ᵹḄ12345᫑⍝89:;,8ᡂ=>ᜧᜧ@ᓣ123Ḅ"B.ẆD⊤FGHIJK45᫑LḄMNOP■(ᓫTᓟV/W)YMNZPx(ᓫT[/ᓟV)Ḅ\ᦪ^_0xw28W஽80a_28Vxs188W/YxḄ\ᦪ.\ᦪᐵc᝞eᡠg.h5⚓/j28⚓

5Vᓟ028x
ᓟ
1_280tx¦§¤¨©ª«A,8B¬y¦C,BḄy=-Y3x+/,¢ᱥḄ®qD.3
1DḄ¯ᙶ᪗q-5,¢ᱥḄ\ᦪ⊤kla
2ᙠ²▲Ḅ¢ᱥLᨵP,µ¶A,B,Pq⚔Ḅ¸AABC¹º¤Ḅz;
3ᙠm1Ḅᩩ½K9FqBDLmo¾tAF,+M§Aw,¿AFÀÁ1ÂᓫTḄOP+ᑮF,ÿFDÀÁ2ÂᓫTḄOP+ᑮD=
Ä._FḄᙶ᪗YrsWMᙠ᦮Â+;
ᵨWᨬs.h6⚓/j28⚓

6ூÈ⚗ᡭẚ௃ÍÎḕᓭᐙ2021-2022Ò'
ὃᦪÒÔÕᔁ(Ô)(×᪆᱐)ஹ⌱⌱(Üᜧ⚪ᐳ10Âß⚪Àß⚪3ᑖᐳ30ᑖ)Àß⚪%ᨵáqAஹBஹCஹDÍÂâᫀ⌱⚗ᐸ
å⌕ÂYçḄèéç⌱⚗ḄáêᙠëḄìáᑁ.êᑏçî3ᑖoêஹê┯ᡈêwḄáñ•Âî஺ᑖ.1.ᘊ(-3)+(-9)ḄøY()A.-12B.-6C.+6D.12ூâᫀ௃Aூ×᪆௃ூᑖ᪆௃ÿ
ᦪᦪḄ.ூ௃(-3)+(-9)=-12ᦑ⌱AὃᨵᳮᦪḄ#$%2.'ᑡ)%*+Ḅ,()A.a2+a3=a5B.(-a3)2=a6C.ab2,3a2b=3a2b2D.-2a6-;-a2=-2a3ூ6ᫀ௃Bூ᪆௃ூᑖ᪆௃᪷;ᔠ=>⚗#ᑣஹBḄCDஹᓫ⚗FC◀#Ḅ)%D#ᑭᵨ᣸◀#K.L7⚓/P28⚓

7ூ௃Aஹa?Sa3T,=>⚗TUᔠᦑV⌱⚗┯XYBஹZ-a3[2=a6*+YCஹ\]ab?-3a2b=3a3b3ᦑV⌱⚗┯X;Dஹ\]-2a6+a2=-2a"ᦑV⌱⚗┯X.ᦑ⌱B.ூ_௃V⚪ὃaᓫ⚗FCᓫ⚗FYᔠ=>⚗YBḄCDSbḄCDY᦮FḄ◀#.3.᝞e,fgᔆ⌕j$klm>ᵫopḄqrDᙽtᡂḄvwxᑣyḄz{e,Z[/ᔣூ᪆௃ூ௃|⚪᪆}~☢᧕~☢mᨵ3p*D~☢
ᜮᨵmp*D.ᦑ⌱A.4.f]᎝⁚ᵨᑖ.ᡝᨴᵨT20m3,rD2ᐗYᵨ20m3,ᑖrDᦈ1ᐗ.q5ᨴ64ᐗᑣ¡¢ᨴᵨZm3.A.38B.34C.28D.44ூ6ᫀ௃Cூ᪆௃ூ௃|⚪᪆jq5ᨴᵨxn?,¥ᵨ¦]20m3§\]20x2=40Zᐗ[.V40<64,/.x>20.L8⚓/P28⚓

8᪷;⚪«:40+(2+1)(x-20)=64,:x=28.ᦑ⌱C.5.᝞eqᙠmᙽ®ᙢ~°±²ᐜᙠBᜐ°±⚔AḄ¶·]30஺ᯠºᔣ±¼½¾100ᑮÀCᜐÁ°±⚔AḄ¶·]45஺Âñ²AD]()(ÄÅÆᶇ᦮ᦪ°·ÈÉᶍT$72^1.414,731.732)ூ᪆௃ூ௃|⚪᪆᝞eZABD=30°,ZACD=45°,BC=100m,jAD=xm,ADᙠRtAAACDËVtanZACD=——,CDY.CD=AD=x,.,•BD=BC+CD=x+100,~ADᙠRtAABDËtan/ABD=——BD(x+100),3.*.x=50(5/3+1)=137,ᓽ±²AD]137.ᦑ⌱D.6.Íᦪa,b,cᙠᦪÎ~Ï\Ḅ᝞eᡠÑᑣ'ᑡFÒË*+Ḅ,()-Gb___0cxacA.a-c>b-cB.a+cbcD.m

9ூ᪆௃ூᑖ᪆௃ᐜᵫᦪÎÓÔaஹbஹcḄ*ÕÖᜧqᐵÙᯠº᪷;TÚFḄÛVឋÝÏᔜ⚗ßà*+ᑨâ.ூ௃ᵫᦪÎãäàa'.*a0..'.ac08.ᐗ!"#$%Ḅ&'(᦮ᦪ&Ḅ+ᦪ,x-5<0-10⚓/028⚓

10A.4B.5C.6D.7ூ:ᫀ௃Cூ&᪆௃ூ>&௃•..&!2x+l>0Exு—2&!X—5<0,ExW5,!"Ḅ&',,&௃i⚪ᑖ᪆kl0D,᝞
mDF,ᙊḄᑗAODIDF,N0DF=90°,ABCKQRSTAZC=ZA=ZB=60",AB=AC,u0D=0C,/.Z0DC=60°,/.Z0DC=ZA,m.0D஻AB,ADEXABᙠRtZ\ADF(ZA=60°,.ZADF=30°,m.AD=2AF=2X2=4,u0D஻AB,0KBCḄ(0DKaABCḄ({m.AD=CD=4,ᓽAC=8,m.AB=8,m.BF=AB-AF=6,VFG1BC,AZBGF=90",FGᙠRtZkBFG(,si=sin60°m.FG=6X=36~FB210.᝞
ᱥy=-x2+2x+m+l\x^A(a,0)B(B,0),\y^C,ᱥ-11⚓/028⚓

11Ḅ⚔KD.ᑡ+ᑨজx>0y>0mঝfa=-l,ᑣb=4mঞᱥᨵP(xi.yi)Q(x2,y2)fxi2,ᑣyi>y2mটCᐵ^ᱥḄKE,G,Fᑖ[ᙠxym=2QTEDFGᕜgḄᨬK6ᙠᐸ(¡¢ᑨḄ£¤,()C.ঞD.@ூ:ᫀ௃Cூ&᪆௃ூ>&௃i⚪&᪆জx>0¥ᦪ
¦b¦▲00mx>bBt,y<0,ᦑ¨⌱⚗┯«m2—1+6ঝ$¬¥ᦪKx=-c/%=1a=-lᨵ-----=1,&Eb=3,ᦑ¨⌱⚗┯«m2x(-1)2@*.,XI+X2>2,2XVxi-ly,ᦑ¨⌱⚗¡¢m2ট᝞
cDᐵ^yḄDEᐵ^xḄEk±DE\DE²DEḄᓽKQTEDFGᕜgḄᨬ.-12⚓/028⚓

12m=2$¬¥ᦪKy=x2+2x+3,⚔³ᙶ᪗Ky=-l+2+3=4,DK(1,4),ᑣDK(-1,4)Cᙶ᪗KC(0,3)ᑣEK(2,3),E(2,-3)ᑣDE=J(2-1)2+(3-4)2=.DE'=7(-1-2)2+(-3-4)2=758$QTEDFGᕜgḄᨬK·+¸ᦑ¨⌱⚗┯«.ᦑ⌱C.ὃᱥ²xḄ\.ஹ⚪(ᜧ⚪ᐳ6⚪⚪3ᑖᐳ18ᑖ)ᫀᑏᙠ⚪ᓱ$%&'().11.16Ḅ¹º»¼᪷,.ூ:ᫀ௃4ூ&᪆௃ூ>&௃&•.•(±4)2=16.*.16Ḅ»¼᪷K4-4$16Ḅ¹º»¼᪷K412.᝞
UAB஻CD,BC»ᑖNABD,Zl=65°,¾N2Ḅ¿ᦪ.ூ:ᫀ௃50°ூ&᪆௃ூᑖ᪆௃ᵫ»ÁḄឋÃEᑮ/N8C=/1=65஺NABD+NBDC=180஺,ᵫ8c»ᑖNZ8஺EᑮZABD=2ZABC=\30°,^,EᑮlÆ.ூ>&௃&N4BC=N1=65°,
8஺»ᑖÇ48஺.ZABD=2ZABC=\30°,.ZBDE=iS00-NABD=50°,.Z2=Z5£>£=50°.-13⚓/028⚓

13ூÈ௃¨⚪ὃÉÊ»ÁḄឋÃS»ᑖËÌÍÎ&Ï⚪ḄᐵÐ,¾Ñ/Z8஺Ḅ¿ᦪ᪗⚪¯ÒÓ¿ᜧ.13.ÕÖ6ᨴØÙÚÛÜÝ᝞
ᡠß,ᑣᙠÙÚÛà"ᦪá(âᦪ,__࠷,({ᦪ,_____"C.ூ&᪆௃ூᑖ᪆௃ᐜæ
(çÑÑè¬ᦪᨬéḄᦪá¾Ñâᦪêë⚪(Ḅᦪáᢥ᯿æᑮᜧḄî£▰ᑡ¾Ñ({ᦪᓽð.ூ>&௃&ᵫÜÝ
ðEÑñÖ6ᨴØÙÚÛK21࠷Ḅᜩᦪᨬéᦑà"ᦪá(âᦪK21࠷ëà"ᦪáᢥ᯿æᑮᜧḄî£▰ᑡðEÑ-15ᜩ-16ᜩḄÙÚÛᙳK22࠷ðEÑ({ᦪKR/=22(࠷).ᦑ:ᫀK21,22.ூÈ௃¨⚪ὃÉÊâᦪ({ᦪḄᭆõ&⚪ḄᐵÐ,ö÷"ᦪá(Ñè¬ᦪᨬéḄᦪáøùâᦪmë"ᦪáᢥ᯿æᑮᜧ(ᡈæᜧᑮ)Ḅî£▰ᑡ᝞ûᦪáḄ+ᦪ,᜻ᦪᑣᜐ^ᜮᙢḄᦪᦪḄᦪ᝞ᦪḄᦪᏔᦪᑣᜮᦪḄᙳᦪᦪḄᦪ.14.JE+(k-1)஺ᨵ$%ᑣ&ᦪy=(k-1)x+1-kḄ*+,-___+▲.ூ1ᫀ௃,ஹ5ஹ6ூ7᪆௃ூ97௃᪷⚪$<=k-l>07<=k>l,B14⚓/E28⚓

14ᡠI&ᦪJ=(k-1)x+1-kḄ*+KL:VAᡠI&ᦪN(k-1)x+1-kḄ*+,-ஹ5ஹ6+▲.ᦑ1ᫀP,ஹ5ஹ6.15.ᨵ,ᐗSTUV=M=ax2+bx+c=O,N=cx2+bx+a=O,ᐸa+c=O,I^ᑡ6`abcḄ(dᑏfg).জ᝞UVMᨵijkḄlᦪ᪷mnUVNoᨵijkḄlᦪ᪷ঝ᝞UVMᨵ᪷qgjrmnUVNḄ᪷qgojrঞ᝞UVMtUVNᨵ,jrḄ᪷mn᪷ux=lট᝞5UVMḄ,᪷mngUVNḄ,᪷.ூ1ᫀ௃জঝটூ7᪆௃ூ97௃x⚪7᪆=জᙠUVax2+bx+c=0z=b2-4ac,ᙠUVcx2+bx+a=0z=b2-4ac,•᝞UVMᨵijkḄlᦪ᪷mnUVNoᨵijkḄlᦪ᪷bcঝt@qgjr2t;qgojr••᝞UVMᨵ᪷qgjrmnUVNḄ᪷qgojrbcঞஹM-N<=(a-c)x2+c-a=0,ᓽ(a-c)x2=a-c,V#c,**.x2=l,7<=x=±l,┯ট:5UVMḄ,᪷/.25a+5b+c=0,11a+—bn---+c=0,525.•.!UVNḄ,᪷bc.5ᦑbcḄজঝট.16.ᑗ(᝞*জ)<6ABCD,6ABCDBDᢚAB15⚓/E28⚓

15ᙠDCḄF᝞*ঝ¡AF¢BD£E,஺BDḄ.¤0DI஺P¥¦§¨┐¥¦¢DC£N.ª0«0M_LON¢BC£M,¡MN.AD=2,S¬ABCD=®ᑣaCMNᕜ°Ḅᨬ²³P.ூ7᪆௃ூ97௃x⚪7᪆=5ஹ71⚪´ᜧ⚪ᐳ9²⚪ᐳ72ᑖ17.¸¹=712-11-5/3I-2017+n0-2sin60".ூ1ᫀ௃0ூ7᪆௃ூ97௃x⚪ᑖ᪆=✌ᐜ¸¹¼Uஹ³ஹ½Tᗩ5&ᦪ³ᯠÀÁÂᔣÄÅT¸¹ÆǹḄ³ÈÉᓽK.x⚪7᪆=Ê=2Ë-A/J+1-I-G=018.PÌ,ÍÎÏ"□ᐝÓÔ"ᜧÕÖ×ØÙÚ¼ÛḄAlÜᳫBÞ-ßàCáÍD᣸ᳫ6ã⚗åḄᐜæçèéêÌÏëìíîïðñòᑖᐜæóëì`ôᑴᡂ*1*2Ḅ÷¸*ø*Ḅùú71^ᑡᡂû=B16⚓/E28⚓

16
1ø¸¹´Tëìçè“áÍ”Ḅᐜæþᦪtᡠᓰᑖ⊡ᐙ
23“”Ḅᐜᐸ!ᨵ2ᵱ1᝕%&'3ᐜ!()2ᐜ*ᵨ,᪛.ᡈᑡ⊤Ḅ234567ᑮ9ᵱ9᝕Ḅᭆ᳛.2ூ>ᫀ௃A1B40%
2-.ூC᪆௃ூEC௃F⚪ᑖ᪆HA1ᵨAḄIᦪ◀LᡠᓰḄᑖᓽP45QRḄᐜᦪᵨRḄSIᦪTUAஹBஹDḄIᦪ45“"ḄᐜIᦪX◀LYQRḄᐜᦪ45ᡠᓰḄᑖX,ᓽPA2ᵨA⊤ZᵱB⊤Z᝕,5᪛[X᪷]ᭆ᳛^_`abᓽP.F⚪C᪆HA1B᪷]⚪)cH154-10%=150AB.d⚗QR!""ḄᐜIᦪfH150-15-45-30=60AIB
2ᵨA⊤ZᵱB⊤Z᝕,᝞h:j17⚓/S28⚓

17++᝕+᝕+᝕+ᵱᐳᨵ6nop9ᵱ9᝕Ḅopf4n42ᑣ67ᑮ9ᵱ9᝕Ḅᭆ᳛f9=9.63ὃtH1.ᑡ⊤3u᪛.32.ᡧ[3.ᩩ[.19.xyH᝞AABC!AB=AC,ADfBCz{Ḅ!|AE஻BC,CE1AEᚖE,(1)4HZXABDZXCAE(2)DE,|DEuABᨵ᪵Ḅᙢᦪᐵ*Ḅ.ூ>ᫀ௃C᪆AB஻DEAB=DE.ூC᪆௃ூEC௃F⚪ᑖ᪆H(1)ᵨAAS4ABD4CAE(2)᧕z[ADCEf[ᡠLAC=DE=AB,Pz[ABDEfaz[cᑮAB=DE.F⚪C᪆HH(1)VAB=AC,/.ZB=ZACD,VAE/7BC,AZEAC=ZACD,./B=NEAC,VADfBCz{Ḅ!|AADIBC,VCE±AE,.,.ZADC=ZCEA=90°j18⚓/S28⚓

18ᙠ4ABD4CAE!NB=ZEAC{ZADC=NCEAAB=AC/.ABD^ACAE(AAS)(2)AB/7DE,AB=DE,ᳮᵫ᝞h:᝞ᡠZVAD1BC,AE//BC,AAD1AE,XVCE1AE,z[ADCEf[.AC=DE,VAB=AC,.AB=DE,VAE/7BC,z[ABDEfaz[/.AB//DE,AB=DE.ὃtHᐰ£¤¥[Ḅᑨ§uឋ©£Ὺ¤¥[Ḅឋ©az[Ḅᑨ§uឋ©.20.xyᐵ«xḄ9ᐗ®2¯Hx2-(m-3)x-m=0.(1)Fᑨ±²2¯᪷Ḅop(2)³´ᱥ|y=x2-(m-3)x-mux¶·«A(xi,0),B(x,0)tᑣA,Bt2Ḅ¸¹ºᔲ¼ᙠᡈᨬ¾¿³¼ᙠ45'¿³À¼ᙠ*▊ᳮᵫ.(ÂÃÄZHAB=|X2-xi|)ூ>ᫀ௃(1)²2¯ᨵÀ£Åᦪ᪷(2)272ூC᪆௃j19⚓/S28⚓

19ூEC௃F⚪ᑖ᪆H(1)᪷]᪷ḄᑨÆ_Pc>ᫀ(2)᪷]᪷uᦪḄᐵPcAஹBḄ¸¹᪷]®ÇᦪḄឋ©Pc>ᫀ.F⚪C᪆H(1)=[-(m-3)]2-4(-m)=m2-2m+9=(m-1)2+8,V(m-1)2>0,.=(m-1)2+8>0,²2¯ᨵÀ£Åᦪ᪷(2)¼ᙠᵫ⚪)yXi,X2f²2¯Ḅ᪷Xi+X2=m-3,xi»X2=-m.VAB=|xi-X2I,AB2=(X1-X2)2=(X1+X2)2-4X1X2=(m-3)2-4(-m)=(m-1)2+8,.•.Ém=lÊAB?ᨵᨬ¾¿8,.♦.ABᨵᨬ¾¿ᓽAB=J^=2J5.ὃtH´ᱥ|ux¶Ḅ·t᪷ḄᑨÆ_.21.᝞ÇᦪË=h+6(Ì<0)ḄÍtC(3,0),uᙶ᪗¶ÐᡂḄ¤¥[Ḅ☢Ó(1)4ÔÇᦪḄC᪆_(2)³ÕÖÇᦪy=—ḄÍuÔÇᦪḄÍ·«ஹÍ▲ᑁḄAஹBtAC=2BC,x4mḄ¿.2ூ>ᫀ௃(1)y=99x+2(2)-12.3j20⚓/S28⚓

20ூC᪆௃ூᑖ᪆௃(1)ᐜᵫÇᦪ'=b+6(Ì<0)ḄÍtC(3,0),c53Ì+6=0জᵫ«Çᦪ="+6ḄÍuy¶Ḅ·tf(0,b),᪷]¤¥[Ḅ☢Ó^_P4cbḄ¿ᯠÝᑭᵨߧᦪ3ᓽP4cÇᦪC᪆_/O4c(2)àAD±x¶«tD,BE±x¶«tE,ᑣAD஻BE.[ilAACD^ABCE,c5——=——=2,BEBC2áâAD=2BE.ãBtäᙶ᪗-n,ᑣAtäᙶ᪗2n.ᵫæ|ABḄC᪆_---x+2,3171c5A(3-3n,2n),B(3+—஻-n),X᪷]ÕÖÇᦪy=—ḄÍAஹBtᑡ52x32¯(3-3n)*2n=(3+—஻)•(-n),C2¯45nḄ¿áâm=(3-3n)*2n,çᐭb2ᓽP.ூEC௃•Çᦪé=ê+6(Ì<0)ḄÍtC(3,0),3Ì+6=0জtCᑮy¶Ḅ¸¹f3,kV0,.b>0,•,Çᦪy=ì+6ḄÍuy¶Ḅ·tf(0,b),.'.1x3xb=3,C22cHb=2,íb=2çᐭজCcHÌ9]ᑣÇᦪḄC᪆_fy=—§x+2.ᦑ'ÇᦪḄC2᪆_é=--x+2(2)᝞àADJ_x¶«tD,BE_Lx¶«tE,ðIñAD஻BE.,AD஻BE,AAACD^ABCE,Z.——=——=2,AD=2BE.ãBtäᙶ᪗-n,ᑣABEBC23täᙶ᪗2n.',æ|ABḄC᪆_é=9]ó+2,A(3-3n,2n),B(3+]஻-n),m3•.•ÕÖÇᦪé=—ḄÍA>Bt(3-3n)2n=(3+—஻)•(-n),Ccn1=2,n2=0x2(Àᔠ⚪)õU)**.m=(3-3n)2n=-3x4=-12.j21⚓/.28⚓

2122.᝞ᙠ஺÷ø!ù¥|4cuúû·«t0,ACAB-ZACB,üt8àý148·/IC«tÕ
14HACLBD-,7
2³49=14,cosZCAB=-,4|■Ḅÿ.8ூ᪆௃ூ௃⚪ᑖ᪆⚪ὃḄᑨឋஹḄᑨឋḄ!"⚪Ḅᐵ$%&'⚪("⌱*ᔠ〉Ḅᐵ-"./0ᜧ.21ஹ᪷4NCAB=NACBᑭᵨ7879ᑮAB=CB,;<ᑨABCD%"᪷4Ḅ8=>?ᚖᓽBC9DEF22ஹᑖGᙠRQAOBIJᙠRtZ\ABEIK9AOJAE,;<ᑭᵨOE=AE-AOKᓽB.⚪᪆21LVZCAB=ZACB,"AB=CB,ABCD%..".AClBDFAO17_49(2)ᙠRMAOBI"cosZCAB=——=-,AB=14,/.AO=14X-=—,AB8846OPAB784915ᙠRt^ABEI"cosZEAB=——=-,AB=14,/.AE=-AB=16,..OE=AE-AO=16----=----AE8744ὃMḄᑨឋFḄឋFQ22⚓/T28⚓

2223.“XYZ[\]ᐜ”"ᡂaYbcᙠXdefgᛋiᵹḄklmno᫑]⍝rstu,rᡂwxᜧᜧyᓣklmḄ]{|.Ẇ~⊤""no᫑Ḅ/■2ᓫᓟ/L%/x2ᓫ/ᓟLḄᦪ"O

23...Kᐵ§XḄᦪ⊤¨©%P=—Fx+94,22850,ᓽµLx+94250,29xW88,...x=88"P=4400..,.x=88,ìᨵ¶4400.ூMí௃⚪ὃkÒᦪḄîïðᵨ"ñᔠឋò"óôõ⚪"öᑮ7÷ᐵ-"øùð¿%⚪ᐵ$.24.᝞¢"ᙠú®8ḄûÔ2I"MO®µfM24<஺4<8L,ýO®ᙊÿOAḄḄᙊCDM,OM,MᙊOḄᑗBC
ஹN.1AODMsAMCN2DA1=x,஺4Ḅᵨ"xḄ#ᦪ%⊤'(3ᙠ஺+,Ḅ-.AC&WḄᕜp,4ᵨ"xḄ#ᦪ%⊤'p,56789᪵Ḅூ<ᫀ௃1?@A᪆(2஺4=4+E(3pFG16.16ூA᪆௃ூᑖ᪆௃1ᵫᑗឋMNO஺W-LMV,ZNMC=900-NOMD=NDOM,AiRtA£>OM^RtACM^Y24⚓/\28⚓

24x(2)VkOA=y,RQQZJM.0M2=஺b2_2=2_஺஺2,NO0/=d4+e.16._x2(3)ᵫ(1)hijk஺O_ei6_8+x,ᦑ~CM~8-x-ITp=(஺஺+DM+OM)•q=(8+x)-1^-=16.OD8+xூ?A௃(1)r•st/BCDvwt.*.ZD=ZC=90o,J/DOM=90O-/OMD,ீMNᑗ.OM±MNf./NMC=90°-/OMD=/DOM,R3Z)0MSR3C.(2)04=y,R30DM.DM2=OM2-DO2=OA2-DO2,2xᓽ|=}(8-ᔊ2,AOOA=y=4-l---16x2+6464-x2(3)ᙠRtZXODM.OD=8—R=8--------=-------161664—Y"/+64aODMḄᕜP=OD+QM+OA/=------+X+------=x+81616A_^_ᵫ(1)^DOMs.MN,ijk஺஺——_8+,~CM~8-x--iFᦑp=(O0+O"+0A/)5=(8+x)஻-=16.OD8+xᦑpFG16.ூ௃⚪ὃᑗឋMijtḄᑨFឋMvwtḄឋMFᳮ.ᜧ.25.᝞hᱥy="(x+2)(x—4)(ᦪᨴ">0)¡x¢£¤¥¦§A,8B¨¡y¢C,BḄ©^=-4+6¡ᱥḄªeD.Y25⚓/\28⚓

251«DḄ¬ᙶ᪗-5,ᱥḄ¯ᦪ⊤°%(2«ᙠ±▲Ḅᱥ³ᨵP,µO¶A,B,P⚔Ḅt¡aABCij¸ḄG;3ᙠ1Ḅᩩ»¼F½BD³e¾"¿AF,e,M£AÀ7,Á½AF¶ÂÃ1ÄᓫÆḄÇ+,ᑮF,ÉÁ½FD¶ÂÃ2ÄᓫÆḄÇ+,ᑮDÊ.Ë.ÌFḄᙶ᪗ÍÎÏÐMᙠ᦮Ä+,-.ᵨÐᨬÏ.ூ<ᫀ௃1y=^x+2x—4;ফk=ᡈ1?;3F—2,2Ô.ூA᪆௃ூᑖ᪆௃1᪷Öᙠ׳Ḅᙶ᪗ØÙw-ḄᐵÛ¦§À6ḄGOᑮ©ḄA᪆%ஹDḄÝᙶ᪗ஹḄGOᑮᱥḄ¯ᦪ⊤°%(2ᑖÞPABsaABCAPABsaBAC¨àáâãäᓽN(3DDH_Ly¢H,AAG_LDHG,BDF,ᑣFᓽᡠ,ᳮᵫÍᵫMᙠ½AF³¶ÂÃ1ÄᓫÆḄÇ+,ᙠ½FD³¶ÂÃ2ÄᓫÆḄÇ+,£é᪷Ö©BDḄêëÍ30஺h⍝dG=ED,î᪷Öᚖ©½ᨬðḄឋMh2Fᓽᡠ£é᪷Ö"30஺©tḄឋMAᓽN.ூ?A௃A1•••ᱥy=Xx+2x—4ᦪñò0¡x¢£¤¥¦§8A,B¨VBM=9,AB=6,BF=4ÔBD=6ÔAF=26(.A(-2,0),B(4,0):Bᙠ©y=~^-x+b±->••-0=---4+ft.ᓽ6=ö33Y26⚓/\28⚓

26•©ḄA᪆%y=e÷+=33•.•Dᙠ©y=_*x+W³ñ¬ᙶ᪗-5,...Ýᙶ᪗ø=ee5>+ù=3#•.•Dᙠᱥy=&x+2>x—4>³.úÔE¡ߟ5+2ü—5—4>,AO=ý889ᱥḄ¯ᦪ⊤°%þ=*x+2>x—4>2>᧕
CḄᙶ᪗0,,ᑣOA=2,OB=4,OC=k,AB=6,AC=&+k2,BC=<6+k2PḄᙶ᪗2,
p+2/p—4>D,ᑖAPABজEPABs/\ABC,ᑣNPAB=NABC,—=——BABCPHOC••ᵫNPAB=NABCtanNPAB=tan/ABC,ᓽ--AHOB8P>=8,p=6p+2~4PḄᙶ᪗6,2
ZP=J6+2+2%>2=2&6+!,,APAB2J16+16
.ᵫ=——---------=/=0BABC6J16+FঝPABS/\BAC,ᑣNPAB=NBAC,—=——ABACPH0cᵫNPAB=NBACtan/PZ8=tanN8/C,ᓽ——=——AHOAgP+2>P-4>=k,p=8p+22PḄᙶ᪗8,5஻>
AP=,8+2'+5,=5/4+2,(27⚓/*28⚓

27,APABg5V4+Fᵫ——=——i.ᐜ=—y/sABAC6y/4+k25(3)᝞-
.D/DH_Ly01H,.A/AG_LDH1G,2BD1F,ᑣFᓽᡠ4;67BDḄ᪆9y=_x+:;
•••/FBA=NFGD=30஺33AB=6,=.AF=26.^.FḄᙶ᪗?2,2ᨴ)ூC௃E⚪ὃHᓫJᡂL=MNᦪPNᦪ2ᡂL=Q7RḄᙶ᪗STUḄᐵW=XYZᳮ=\]^_`ḄᑨZ=ᚖ67cᨬeḄឋg=ᑖ\hiPᦪ`hiḄjᵨ.(28⚓/*28⚓