2021-2022学年江苏省苏州市工业园区九年级（上）月考数学试卷（10月份）（附答案详解）

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2021-2022
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ᨴὃᦪᔁ10ᨴ1.ᑡ!"ᐗ$%Ḅ!A.ax2+bx+c=0B.%2—y+1=0C.x2=0D.2+%=2X22.5ᱥ7y=-2%-l2+1Ḅ⚔;ᙶ᪗!A.-2,1B.-1,1C.1,1D.1,-23.@5ᱥ7y=/ᔣCDE2FᓫHIJᔣDE5FᓫHIDELᡠNO5ᱥ7Ḅ⊤QRSA.y=%+22—5B.y=%+22+5C.y=x—22—5D.y=%—22+54.UᐵWxḄ"ᐗ$%--2%-᝕=0Yᨵ[ᦪ᪷Iᑣ^Ḅ_`b!A.k>—1B.k2—1C.kV—1D.k4—15.ef$%gᦪy=ax2+bx+CQ,ic!jᦪIQW0ḄylxḄmᑖop`᝞⊤:X-3-2-1456y—ax2+bx135-1-1513+cᑡstuvḄ!A.abc<0B.wx>"1yIyzxḄ{ᜧ}{ᜧC.wx=|yIy_ᨬ`D.gᦪḄᨬ`!"16.5ᱥ7ஹ=3/+"4lCḄᐸ"F;Ḅᙶ᪗!2,ᑣ"F;Ḅᙶ᪗!A.—1B.—\C.:D.—3337.᝞Iᑜᙠ"ᙽS32஻?,S20mḄᙢᩩ᪵Ḅ⍝¢,ᒕ¤Ḅᙢ¥¦₝¨.U₝¨Ḅ☢ªS570rH2,⍝¢ḄSᜐᑣ¯ᑡSC.(32-x)(20-2x)=570D.(32-2x)(20-x)=570

18.ᐵWxḄax+m2+b=0Ḅ᪷!%i=4,x="6,a,µmᙳSjᦪ,Q*0,2ᑣᐵWxḄQ2X+m+2¸+b=0Ḅ᪷!A.x1=8,x2=-12B.x1=I,x2=-4C..=10,x=-10D.%1=-3,%2=229.᝞IuḄºF⚔;ᙶ᪗»%S3,-13,-3,1,-3,U5ᱥ7¼=Q/Ḅ½luᨵ¾ᐳ;Iᑣ[ᦪ஺Ḅ_`b!A.-3"?2⚓ᐳ16⚓

217.2CDEᦪy=3/+bx+cJḄ⚔ᙠx)*+KL4(m,9)ஹB(n,9),ᑣSABḄU".18.ᡃWXYZ(஺,[ᑗ"Eᦪ]=஺^+6%+(:Ḅ“ᐵὶᦪ”eᐸJfᙶ᪗)gḄhஹiᙶ᪗ᙳ"᦮ᦪlmg"“᦮g”.2ᐵὶᦪ"(m,-m-2,2)ḄEᦪJfx)ᨵpq᦮g(m"r᦮ᦪ)ᑣsqEᦪJ*᦮gḄᙶ᪗".19.tuvZ(l)4x(2x-1)=3(2x-1)x(2)x2+2x-2=0x(3)X2-10X-24=0x(4)(2%-l)2-16=0.20.yzᐵ{xḄ|ᐗCDuv/+(2k-3)|3k=0.(1)ZuvᨵpqḄ5ᦪ᪷Z(2)᝞uvᨵ|q᪷"1,Ḅ>.21.yzy=(k—l)/2+240CDEᦪ.(1)2ᐸJᔣAḄ>x(2)2e*<0l)xḄᜧEᦪᐵ.22.yzᐵ{xḄuv-2+3)%+1=஺ᨵ5ᦪ᪷.(1)᝕Ḅ>x(2)2"ᔠᩩḄᨬ᦮ᦪ+X10uvḄpq᪷X1—X2Ḅ>.23.¡ᖪ£├¥|ᢇ§¨©ᙳªᜩ¬¥20ª®ᑭ40ᐗ."°᡽ᜧ├¥²®ᑭᖪ£³°´µ¶·Ꮇ¹ᙠ|Yᑁ§¨Ḅᓫµª´2ᐗᖪ£©ᙳªᜩ¬¼¥4᝞´µ½ᖪ£├¥sᢇ§¨ªᜩ®ᑭ1250ᐗ¾¿§¨Ḅᓫµ´°¼ÀᐗÁ24.ᙠῪÃABCa=3,b,c0/+⊈ᑐ+2=0Ḅpq᪷ÇÃ4BCḄᕜU.25.᝞ᙠÉABCDAB=12cm,BC=6cm,ËÌAÍÎA8Ï2cm/sḄÑÒᔣBÓÔ|Õᑮ×8"ØxÙl஺ÌCÍÎCOÏlan/sḄÑÒᔣ஺ÓÔeËÚØÛÔl஺ÜÚØÛÔ.(1)KL¼UlÝPஹ஺pßÝḄàá06c/n?(2)KL¼UlÝPஹQpßÝḄàá010cm?26.᝞ᙠ©☢Õ'ᙶ᪗CDEᦪy=ax2+bx+3ḄJfᙶ᪗)g{A,B,Cäᐸ4(|1,0),JḄ&å)gx){஺+஺8=200.

3(1)sqCDEᦪḄ⊤×x(2)2P(m,n)0EᦪJ*ç{CḄ|জ2APABḄ☢/fÃABCḄ☢/஻?Ḅ>xঝ2Ëᙠx)*u+ᑮx)Ḅàáᜧ{3,ÕᑏìḄ.27.&{íᦪa/+bx+c,2îᙠ5ᦪ஻ex=ïlíᦪḄ>Ü{஻ᑣån"sqíᦪḄð>.ñ᝞Z&{íᦪex=0líᦪ{0xeò=1líᦪ{1,ᡃWóå0ô140sqíᦪḄð>.ᙠíᦪîᙠð>lmíᦪḄᨬᜧð>fᨬð>Ḅõö÷4ᱯùᙢeíᦪûᨵ|qð>lᑣ4=0.(1)íᦪ-2Ḅð>0,A=.(2)üýíᦪ3x2+1þᨵð>x(3)yzíᦪ/|ᓃ%+1,4=0,6Ḅ.4⚓ᐳ16⚓

4ᫀ᪆1.ூᫀ௃Cூ᪆௃Aஹ⚗ᦪ0,ᦑ┯%&8ஹ(ᨵ*+,-ᦪᦑ┯%&Cஹ/ᔠ1ᐗḄ3456&஺ஹ89᦮;ᦑ┯%.ᦑ⌱C.=⚪᪷@1ᐗḄ34.1ᐗABCDE+ᩩG(1),-ᦪḄᨬKᦪ92&(2)⚗ᦪ80&(3)9᦮;&(4)(ᨵ1+,-ᦪ.ᵫPE+ᩩGQE+⌱⚗RSTUCDPE+ᩩGὅ56ᫀ.=⚪ὃXY1ᐗḄᭆ[ᑨ]1+9ᔲ91ᐗ✌ᐜ⌕b9ᔲ9᦮;ᯠdbᓄfd9ᔲ9g(ᨵ1+,-ᦪh,-ᦪḄᨬKᦪ92.2.ூᫀ௃Cூ᪆௃•.jᱥly=-2(x-l)2+l,⚔sᙶ᪗(1,1).ᦑ⌱C.᪷@y=a(x-Zip+k,⚔sᙶ᪗9(h,k),|ᫀ.=⚪ὃXY}ᦪḄឋ⚔s;y=a(x-h)2+k,6ᳮ⚔s;9⚪Ḅᐵ.3.ூᫀ௃Aூ᪆௃jᱥly=MḄ⚔sᙶ᪗(0,0),ᐜᔣ2+ᓫᔣ5+ᓫdḄjᱥlḄ⚔sᙶ᪗(-2,-5),ᡠdḄjᱥlḄ᪆;y=(x+2/15.ᦑ⌱A.ᐜdḄjᱥlḄ⚔sᙶ᪗ᑭᵨ⚔s;jᱥl᪆;ᑏᓽ.=⚪ὃXY}ᦪᣚ⌕¡Ḅ¢£¤¥¦§¤¦.¨᪷@¢£ᑭᵨsḄᓄ63}ᦪ᪆;.

54.ூᫀ௃Cூ᪆௃••ᐵ©xḄ1ᐗ/—2x—k=0«ᨵ¬ᦪ᪷0,BP(-2)2-4x1x(-fc)<0,!k<—1,•••kḄ²´9k<-1.ᦑ⌱C.ᵫᐵ©xḄ1ᐗx2-2x-k=0«ᨵ¬ᦪ᪷᪷@µḄ¶4|ᑮµ<(),ᓽ(12)2—4x1x(—¸<0,ᯠd8¹;ᓽ|ᑮḄ²´.=⚪ὃXY1ᐗax?+bx+c=0(a*0)Ḅ᪷Ḅᑨ¼;µ=b2-4ac½4>0,ᨵ*+8¿¹Ḅ¬ᦪ᪷&½µ=(),ᨵ*+¿¹Ḅ¬ᦪ᪷&½µ<(),«ᨵ¬ᦪ᪷.5.ூᫀ௃Cூ᪆௃ᵫ⚪¶|(4a-2b+c=5\a-b+c=-l,(16a+4b+c=—1(a=1|b=-3,(c=-5:.y=x2—3x—5.■■■a>0,b<0,c<0.•••abc>0,ᦑ⌱⚗ᨴ┯%&••♦jᱥlÃÄᔣ§QÅÆÇ=-⚶="2a2.½X>|Ì)ÍÎḄÏᜧÑÏᜧᦑ⌱⚗B┯%&••♦jᱥlÃÄᔣ§QÅÆÒ=1⚶=32a2.•.½#=|Ìy²ᨬÔᦑ⌱⚗C56&½Ç=:Ìy²ᨬÔ(|)2-3*|-5=-Öᦑ⌱⚗O┯%.ᦑ⌱C.᪷@⊤ÙÚÛx}ᦪyḄQÜᑡÞa,b,cḄᯠd᪷@}ᦪḄឋᑨ]ᓽ.=⚪ὃXY}ᦪḄßឋà3ᦪá¡à3ᦪá}ᦪ᪆;9⚪Ḅᐵ.6⚓ᐳ16⚓

66.ூᫀ௃Bூ᪆௃âjᱥlxÆḄã1+äsḄåᙶ᪗9r,᪷@⚪¶1ᐗ3/+rnx-4=0*᪷ᑖ¼2,3ᡠ2t=-%|ᓽjᱥlxÆḄã1+äsḄåᙶ᪗9-|.ᦑ⌱B.âjᱥlxÆḄã1+äsḄåᙶ᪗9/,᪷@jᱥlxÆḄäsê⚪|ᑮ1ᐗ37+Î14=0*᪷ᑖ¼2,7,ᑣᑭᵨ᪷ᦪḄᐵ|ᑮ2t=-*ᯠd7n1ᓽ.=⚪ὃXYjᱥlíÆḄäsî}ᦪஹ=஺/+6&+;ïðñ:9òᦪa40)xÆḄäsᙶ᪗ê⚪óᓄᐵ©xḄ1ᐗ.7.ூᫀ௃Dூ᪆௃â⍝õḄö÷?ᑣᒕùḄúᙽüᙢᔠᡂÿ(32-2x)rnஹ(20-x)rnḄ᪷⚪(32-2x)(20-x)=570.ᦑ⌱D.⍝Ḅ7,ᑣᒕ$Ḅ%ᙽ'ᙢ)ᔠᡂ,(32-2x)mஹ(20-x)?nḄ᪷Ḅ☢0123ᔠ₝5Ḅ☢05707n2,ᓽ)7ᐵ9:Ḅ;ᐗ=>?@A⚪B.C⚪ὃEFᵫH▭J⚪KL7;ᐗ;>?@MNOPᐵQRSᑡ7;ᐗ;>?@UB⚪ḄᐵV.8.ூYᫀ௃BூB᪆௃Bᐵ9xḄ?@a(x+m)2+b=0ḄBUX]=4,x=-6,2=?@a[2(x+1)+m]2+f=oḄBh+i=2ᡈx+1=-3,ᓽ/=1,l=;4ᓽ?@a(2x+m+2)2+b=0ḄBUx௃=1,x=—4.2ᦑ⌱B.n?@a(2x+rn+2)2+b=0⊤pa[2(x+1)+m]2+b=0,ᑭᵨᐵ9xḄ?@a(x+m)2+b=0ḄBU%—4,x——6ᑮh+1=2ᡈx+1=—3,ᯠvBwx;2>?@ᓽ).C⚪ὃEF;ᐗ=>?@ḄByz;ᐗ=>?@{|w}~OḄᦪḄU;ᐗ=>?@ḄB.9.ூYᫀ௃A

7ூB᪆௃BᱥḄB᪆2y=a/,ᱥ(1,-3)a=-3,ᱥ(3,-1)a=_\,9L);3ᦪLQᦪḄᐵQ=>ᦪLḄḄᙶ᪗ᱯOB⚪ḄᐵVUC9¡ὃ¢ὃ⚪£.1஺ூYᫀ௃CூB᪆௃B:2¡4B=%,ᑣCD=%,2=SுACD=\^CD-AB=1x,:S?=4s—CD=2x2,••Si=S2,Si+S2=m2,•4%2=m2,•m=2%,ᙠRtAABC¡AC2=AB2+BC2f,%24-(%+n)2=m2f:.%2+(%+n)2=4x2,•x+n=V3x,•n=(V3—l)x,n_V3-1m2ᦑ⌱c.᝞2,ᵫ⚪)fB=CD-x,ᑣ)§ᵨx⊤p752,¨ᵫ9Si=SᦪḄ®Äᑖ᪆7Yᫀ.Æ8⚓ᐳ16⚓

8A⚪É⌕ὃEF=>ᦪḄ®ÄRSn®ÄUB⚪ᐵV.12.ூYᫀ௃%]=0,x~-12ூB᪆௃B•••x(x+2)=%,•••x(x+2)—x=0,ᑣx(x+1)=0,•••x=0ᡈx+1=0,B=0,&=-LᦑYᫀXj=0,x=-1.2ᐜÌ⚗ÎᑭᵨÏ1Ð2ÑÒ?@Ḅ{}Ð2ᑖBÓÔ7wxᐵ9XḄ;ᐗ;>?@γ;ÕBᓽ).C⚪É⌕ὃEB;ᐗ=>?@B;ᐗ=>?@¢ᵨḄ?ÑᨵªÃ×Ø?ÑஹÐ2ᑖBÑஹ12Ñ»Ù?ÑB⚪ḄᐵVU᪷?@Ḅᱯ⌱ÚÛÜḄ?Ñ.13.ூYᫀ௃25%ூB᪆௃ூᑖ᪆௃C⚪ὃEḄU;xÝ,᳛J⚪ᐵV⍝4ᨴàḄᑭá160âᐗ6ᨴàḄᑭáãᑮ250âᐗäÔ7åxᨴḄÝ,᳛.ØᙳåᨴÝ,Ḅçᑖ᳛Ux,᪷4ᨴàḄᑭá160âᐗ⌕z6ᨴàḄᑭáãᑮ250âᐗ)ᑡ?@B.ூBY௃BØᙳåᨴÝ,Ḅçᑖ᳛UX,160(1+X)2=250x=25%ᡈ%=—225%(èé).ØᙳåᨴÝ,Ḅçᑖ᳛U25%.ᦑYᫀ25%.14.ூYᫀ௃yî3ḄᜧðᐵQñ<<î22ᦑYᫀyᦪLḄᙶ᪗ᱯNSö¶7~¼ḄᦪUB⚪ḄᐵV.

915.ூYᫀ௃2V3ூB᪆௃Bᵫ÷øùឋ)§=ᙳ=1.ny=1±ᐭy=1=l2,xBX]=—V3,x=V3,2.•X4=,Xc=,úÃAC,.••AC=2V3,•••÷0ABeḄ☢0:OB•AC=gx2x2ü=273,ᦑYᫀ2
ᵫ÷Ḅøùឋ)ABḄýᙶ᪗,äÔ)A,CḄôᙶ᪗ᵫ÷☢0=-ACB.C⚪ὃE=>ᦪḄ3ᔠB⚪ᐵVU=>ᦪ?@ḄᐵQ÷Ḅឋº»☢0ḄÑ.16.ூYᫀ௃4ூB᪆௃B:/+y2=t,þ?@ÿ
t(t—1)=12,t2—t=12(t—4)(t+3)-0,ti=4,t=—3,2v%2+y2>0,•t=4:.x2+y2=4,ᦑᫀ
+2=%
(-1)=12,᪷F+yZு஺ᓽᫀ.⚪ὃᵨᣚᐗ$%ᐗ&'()ᣚᐗḄ᦮,/+y2=t.⚪Ḅᐵ0.17.ூᫀ௃2V3310⚓ᐳ16⚓

10ூ᪆௃7••&'9ᦪ=3/+"+<=Ḅ⚔?ᙠABC••DᱥFḄ᪆G
y=3(%+52,•••?4(H9)ஹB(n,9)ᙠDᱥFCDᱥFḄJKB
x=-9=ᵨ62...y=3(L-MBN4(ᡂ9)Pᐭ9=3(m-MA!m-n\=2V3,&FSABḄT
2'ᦑᫀ
72®ᵫDᱥFḄ⚔?ᙠxBCDᱥFḄ᪆G
y=3(x+y,Vᔠ?4(m,9)ஹB(n,9)ᙠDᱥFCᓽDᱥFḄJKB
X=MPᐭa(m,9)ᓽZ[.⚪ὃ&'9ᦪḄឋ]^_&'9ᦪ`=C?Ḅᙶ᪗ᱯd᪷&'9ᦪḄឋ]eJKBḄ
x=-1=M.⚪Ḅᐵ0.18.ூᫀ௃(1,0)ஹ(2,0)ᡈ(0,2)ூ᪆௃7᪷⚪ghy=0,iᐵὶᦪ(k%771-2,2)Pᐭ9ᦪ)/=£1/+^+(m,ᑣᨵm/+(__2)x+2=0,m•♦ᐵὶᦪ
(m,-m-2,2)Ḅ9ᦪ`=qxBᨵrs᦮t?m.u=(—m-2)2—4x2m=(m-2)2>0••mW2ᵫZ᪷vGX=m+28m=m+2
2|2m2mᡠ^7"+2+(m-2)=1,12mm+24-2—m42x=--------------------=—=—22m2mm/m=1xyz⚪g{xᑐ2=2ᡠ^}s9ᦪ`=C᦮t?Ḅᙶ᪗
(2,0),(1,0)mhx=0,y=c=2,ᓽ}s9ᦪ`=C᦮t?Ḅᙶ᪗
(0,2).~Cᡠ}s9ᦪ`=C᦮t?Ḅᙶ᪗
(2,0),(1,0)(0,2)mᦑᫀ
7(2,0),(1,0)(0,2).᪷⚪ghy=0iᐵὶᦪ(⊈,-J71-2,2)Pᐭ9ᦪ)/=£1/+/%+,I
ᨵ7nx2+7(7(-6-2)x+2=0,ᑭᵨZ᪷vGm,imPᐭ9ᦪ`=qxBḄt?ᙶ᪗;hx=0,y=c=2,ᓽ}s9ᦪ`=C᦮t?Ḅᙶ᪗(0,2).⚪⌕ὃDᱥFqᙶ᪗Bt?Ḅᱯdᳮ⚪g.{⚪Ḅᐵ0.

1119.ூᫀ௃:(l)4x(2x-l)=3(2x-l)m/.4x(2x-1)-3(2%-1)=0,(2x—1)(4%—3)=0,:.2x-1=0ᡈ4%-3=0,1-3ᡈ"7(2)x2+2x-2=0m•••x2+2x=2,(x+l)z=3,•••x+1=+V3,x=V3—1ᡈx=—V3—1m(3)x2-10%-24=0m•••(x-12)(%+2)=0,•••x-12=0ᡈX+2=0,:.x=12ᡈx=-2m(4)(2%-l)2-16=0.(2x-1+4)(2%-1-4)=0,•••2x+3=0ᡈ2x—5=0,•••x=—஺ᡈx—22ூ᪆௃(1)NMᓄ
0,Gᑖᫀm(2)Nᦪ⚗ᑮMiᵨ$ᓽm(3)NMGᑖm(4)MᵨGᑖᓽ.⚪ὃ%ᐗ&'-Gᑖ$7Gᑖ$.ᑭᵨGᑖZḄḄ$}$᧕ᵨ.%ᐗ&'ᨬᵨḄ$ὃ$%ᐗ&'.20.ூᫀ௃(1)7••u=¡-4ac=(2k-3)2-4x1x(-3¢=4/-12k+9+12k=4fc2+9>0,;£ᨵrs¤¥MḄ¦ᦪ᪷m(2)7ix=lPᐭ§l+2k-3—3k=0,k=-2.ூ᪆௃(1)¨©ᑨ«GḄ[ᑮu=4k2+9,¬ᑮ4>0,ᯠ¯᪷ᑨ«GḄgᑮV°m(2)Nx=1Pᐭ§ᑮᐵ±kḄᯠ¯ᐵ±kḄᓽ.⚪ὃ᪷Ḅᑨ«G7%ᐗ&'aM+bx+c=0(aH0)Ḅ᪷qu=b2-4acᨵ312⚓ᐳ16⚓

12᝞³ᐵ´7µA>0xᨵrs¤¥MḄ¦ᦪ᪷mµu=()xᨵrs¥MḄ¦ᦪ᪷mµ4<0x¶¦ᦪ᪷.21.ூᫀ௃7(1)᪷⚪gᦈ2_+14=2,0!k=-3ᡈ2m(2)7µA<0xy¹xḄºᜧ¼½&`=¾¿ᔣCfc—1>0,ᓽk>1,•.fc=2.ூ᪆௃(1)᪷&'9ᦪḄᭆÂ`þ¿ᔣ³ᓽZÄḄ[7(2)᪷µx<0xy¹xḄºᜧ¼½Å`=¾¿ᔣCᓽZ᪆G.{⚪⌕ὃ&'9ᦪḄÆÇឋ]ÈÉN)ÆÇឋ].⚪ᐵ0.22.ூᫀ௃7(1)᪷⚪g%2*oË/=4(fc+3)2-4k2=24k+36>0,7/£2—|ËÌ40m(2)k2-1ËkÍ0,4
ÎᔠᩩÐḄᨬ½᦮ᦪ•k=-1,ᦑA2—4%+1=0,ᑣ/%Ñ+4=—1+4,ᦑ(X—2Ò=3,ᑣX-2=±V3,7q=2+V3,x=2—>/3,2Xi—x=2+V3—2+y/3=2y/3,2ᡈ-x=2—V3—2—V3=-2V3.2ூ᪆௃(1)᪷%ᐗ&'ḄÆÇ᪷Ḅᑨ«GḄgÇᑮH*0Ë/=4(fc+3)2-4120,ᯠ¯rs¤MGZÓÔḄvᐳÕᑖᓽm(2)Ö×XḄ[Øᫀ.⚪⌕ὃ᪷Ḅᑨ«G%ᐗ&'᪷ḄÙÚqᑨ«GuḄᐵ´7(1)4>0,ᨵrs¤¥MḄ¦ᦪ᪷m(2)/=0,ᨵrs¥MḄ¦ᦪ᪷m(3)4<0,Ûᨵ¦ᦪ᪷.23.ூᫀ௃7ÜÝḄᓫßàxᐗ.᪷⚪gW(20+|x4)(40-%)=1250,

137=%2=15,7ÜÝḄᓫßà15ᐗ.ூ᪆௃ÜÝḄᓫßà1ᐗ.᪷⚪gMáᐵ´7à߯Ḅ├áxãÐḄᑭä=1250,᪷Máᐵ´ᑡᓽ.{⚪⌕ὃ%ᐗ&'Ḅæᵨᐵ0.ÈÉᳮ⚪ge⚪ç§ḄMáᐵ´,ᑡ.24.ூᫀ௃7,./?ஹc.%2+ni%+2-1⊈=0Ḅrs᪷b+c=—m,b-c=2--m.2(1)éa
Ὺᑣb=a=3.c=1m—b,ᓽ3(—m—3)=2—m=-y,+C=y.,•ᕜT=h4-c+a=y+3=ym(2)é஺
ìᑣí=c.m••0=m2o—4(2——)=0.•m=—4,m=2,12•b+c=4ᡈb+c=-2(îï).•••ᕜT=b+c+a=4+3=7.7uABCḄᕜT
ðᡈ7.ூ᪆௃ᙠMῪðñ§⌕ᑖòóῪqìᓽ4c,஻õᨵö.Ὺ⚪æØ÷ᑖøù°.⚪⌕.ᦪVᔠ_ᑖøù°Ḅúû.25.ூᫀ௃7ü?஺ýQEAAB±?E,᝞`ᡠþ.ÿ
xs,IJPE=(12-3x)cm,QE=6cm.(1)⚪(12-3x)2+62=62,x=x=4.12:4sPஹ஺Ḅ6cM.(2)ᵫ⚪(12-3x)2+62=102,:=pX=y.2vCQ=2x<12,-%<6,14⚓ᐳ16⚓

144•,4%=".gsPஹ஺Ḅ10sn.ூ᪆௃஺#QE1AB$E,%&
xs,ᑣPE=(12-3x)cm,QE=6cm.(1)᪷)*+,ᳮ.ᔠPQ=6cm,ᓽ12ᐵ$xḄ4ᐗ6789,ᓽ12.;<(2)᪷)*+,ᳮ.ᔠPQ=10cm,ᓽ12ᐵ$xḄ4ᐗ6789=ᐸ?@Aᓽ12.;.C⚪ὃEF4ᐗ6789ḄGᵨIJKLᐵMNOᑡ24ᐗ4789⚪ḄᐵQ.26.ூᫀ௃(1)%8ᙶ᪗(3U0),•••DB=2DO,,஺ᙶ᪗(m,0),VBD=DA,•3m—m=m—(ߟ1),771=1,••3ᙶ᪗(3,0),W(41,0),(3,0)Xᐭy=ax2+bx+3*6;“]^:.y=~%2+2x+3.(2)জW`=0Xᐭy=—x2+2%+3y=3,6Cᙶ᪗(0,3),•••^t^PAB-S^CAB•-

15\=^AB-y,c•••IbI=•.n=±3,Wy=3Xᐭy=—x2+2%+33=—x2+2%+3,x=oᡈ`=2,Wy=-3Xᐭy=—x2+2%+3-3=-x2+2x+3,`=1+᜛ᡈ`=1-V7,AmḄA2ᡈ1+fᡈ14V7.ঝᵫজhᱥj(0,3),(2,3),•hᱥjklᔣn03,/.0

16(2)জᵫhᱥj᪆v1Cᙶ᪗(0,3),ᵫSAPAB=SACAB1"=±3,xyp.ঝᵫhᱥjklᔣnzy=3
PḄ{ᙶ᪗p.C⚪ὃE67|ᦪḄ}ᔠGᵨ⚪ᐵQ~67|ᦪ89zKvḄᐵM~67|ᦪḄឋ.27.ூᫀ௃-123ூ᪆௃(1)⚪X2-X-2=0,X1=-1,%2=2,■-A=2—(-1)=3.ᦑᫀ—123.(2)⚪3/4%+1=0,(-I)2—4x3x1=-11<0,89ᓽXᦪv3/+1ᨵA.(3)⚪89/4(b+l)x+1=0ᨵKḄᦪ᪷•••0=[ߟ(b+I)]2—4x1x1=0,b[=3,Z72=1.bḄA43ᡈL(1)᪷)AḄ,12ᐵ$xḄ4ᐗ6789ᓽ1p2xḄAo1p2AḄA(2)ᵫ89ḄMᦪ.ᔠ᪷Ḅᑨv12893/-x+1=0ᨵᦪ᪷xy12Xᦪv3x2+1ᨵA<(3)ᵫ4=01289M-(b+l)x+1=0ᨵKḄᦪ᪷xy12=0,ᓽ12.;.C⚪ὃEF4ᐗ6789ḄGᵨz᪷Ḅᑨv᪷)AḄ,I24ᐗ6789⚪ḄᐵQ.16⚓ᐳ16⚓