2022年四川省自贡市中考数学真题（解析版）

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⚪ax10"ḄᓽJ.ூMA௃V180000=1.8xlO5.ᦑ⌱C.ூ&T௃U⚪ὃVW|}ᦪ~⊤ᜧᦪZ[\ᦪ&ᙠ¡¢ᦪ£Ḅ☢“¦ᵨ᦮ᦪᦪh1஻3A⚪ḄᐵY.3.᝞§¨©ᱏ48coᡠᙠḄ¯°ᕜKᑮḄ³´3()ூ>ᫀ௃AூA᪆௃ூᑖ᪆௃᪷E¨¯°ᕜKᑮᙊ¸´ᩭA>.ூMA௃AN¨©ᱏ/BCDᡠᙠḄ¯°ᕜKᑮḄ³´3ᙊ¸´.ᦑ⌱NA.ூ&T௃U⚪ὃVW&ஹஹ☢ஹ´Z[\“☢ᡂ´”KᑮḄ»¼´Ḅ½3A⚪ḄᐵY.4.¾ᑡ¦ÀÁḄ3()A.(-1)2=-2B.(V3+V2)(V3-V2)=1C.a^a^a1D.(———=0I2022)ூ>ᫀ௃BூA᪆௃ூᑖ᪆௃᪷EƦÀ,ÈÉÊËjᦪÌḄ◀~~ᑣ¢ᢣᦪᗩḄ¦À~ᑣÐѦÀᓽJ.ூMA௃A.(—Ip=1,ᦑA┯Ô;2⚓ᐳ24⚓

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4ὃRSTᜓὃVᧇXὃRT⚪Y.A.90°B.100°C.110°D.120°ூZᫀ௃Cூ4᪆௃ூᑖ᪆௃]AA஺஺ḄB#^_`4஺8=90°ND48=70°᪷bᙊᑁ>9:Ḅde⊡^_N8CDḄJᦪ#ᓽ^⌱gZᫀ.ூh4௃A஺஺ḄB#•••ZADB=90°>ijN4BD=20°NDAB=90°-NABD=900-20"=70°i,/9:ABCDᑁ>?஺O,/./BCD+NDAB=180°•ABCD=1800-NDAB=180°-70°=110°ᦑZᫀ⌱jC.ூ௃⚪ὃᙊᑁ>9:Ḅឋn#/0oᙊ(ᡈB)ᡠᙊᕜd3d#34Z⚪Ḅᐵu.8.vwxyḄz{ᑖ|313ஹ14ஹ15ஹ14ஹ14ஹ15~#ᐵ?ᦪb#3()A.ᙳᦪ314B.wᦪ314.5C.3D.ᦪ314ூZᫀ௃Dூ4᪆௃ூᑖ᪆௃ᑖ|gᙳᦪஹwᦪஹஹᦪ#ᑨᓽ^.ூh4௃4jA.vwxyḄz{ḄᙳᦪA13+14+14j14.15+15=,ᦑ⌱⚗┯66#ᔠ⚪B.vwxyḄz{ᢥ᯿ᑮᜧ᣸ᑡAj13ஹ14ஹ14ஹ14ஹ15ஹ15,N5⚓#ᐳ24⚓

5ὃRSTᜓὃVᧇXὃRT⚪Y..•.wᦪA------=14,ᦑ⌱⚗┯#ᔠ⚪2C.vwxyḄz{ḄAL13X,M2+3L14-#M2+2L15-,M2,ᦑ⌱⚗┯#6-36ᔠ⚪D.vwxyḄz{g£¤ᦪᨬ¦Ḅ314,ᐳg£3¤#ᦑᦪA14,ᦑ⌱⚗#ᔠ⚪.ᦑ⌱jD.ூ௃§⚪ὃᙳᦪஹwᦪஹஹᦪ#-./0ᙳᦪஹwᦪஹஹᦪḄ34⚪Ḅᐵu.9.©Ὺ«d⚔dJᦪX®¯dJᦪḄ2°¦20஺#ᑣ®¯dḄJᦪALMA.30°B.40°C.50°D.60°ூZᫀ௃Bூ4᪆௃ூᑖ᪆௃®¯dḄJᦪAx,ᑣ⚔dḄJᦪAL2x+20஺M#᪷b«dḄᑁd´©?180°,ᓽ^4.ூh4௃4jµ®¯dḄJᦪAx#ᑣ⚔dḄJᦪAL2x+20஺M,᪷b⚪_j2x+2x+20°=180°,4_jx=40஺#ᓽ®¯dḄJᦪA40°.ᦑ⌱jBூ௃⚪¶⌕ὃ©Ὺ«dḄឋn#«dḄᑁd´1ᳮ#-./0©Ὺ«dḄឋn#«dḄᑁd´1ᳮ34⚪Ḅᐵu.10.PA஺஺᜜X#P7»஺஺¼ᑗ?T,0P=10,NOPT=30°,ᑣÀ7ḄÁALMA.5GB.5C.8D.9ூZᫀ௃Aூ4᪆௃ூᑖ᪆௃Ã>OT,᪷bᑗḄឋngNO7P=90°,Äᔠ/OPT=30°ᑭᵨÇ30°Ḅd«dḄឋngOT,ÈᑭᵨÉÊ1ᳮ_ÀTḄÁJᓽ^.ூh4௃4jÃ>OT,᝞Ë.N6⚓#ᐳ24⚓

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7ὃRSTᜓὃVᧇXὃRT⚪Y.ᑣåòḄ☢õ=x(8-2x)=-2x2+8x=-2(X-2)2+8þx=2ÿ
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12ὃyz{ᜓὃ}ᧇὃy{⚪':.GE=GE,AG=AG,fD9/BCD089%.AB//CD,AD=BC=2C.CH//EF,'CH=EF=\,.fD9EFCH0ghfD9%.EH=CF,.G'H=EG'+EH=EG+CF,•AB=4,BC=AD=2,GD/஺Ḅ>%.AG=AG'=1.DG'=AD+AG'=2+l=3,DH=4-i=3,HG'=y]DH2+DG'2=V32+32=372-ᓽGE+CᡝḄᨬOP3R.ᦑᫀ3^ூ௃c⚪⌕ὃᑭᵨWX!ᨬ2⚪%89Ḅឋ/%ᳮ%GE+CFᨬOdE,F0⚪ᐵ4..⚪ᐳ8⚪%ᐳ78ᑖ3x<619.\,ᙠᦪE⊤ᐸ.5x+4>3x+2-2-10123ூᫀ௃-l3x+2ঝজ%x<2,ঝ%x>-l,ᑣḄªḄ⊤ᙠᦪE᝞«:-I--------1-------1-------6iτ----6-1-------L-4-3-2-101234xv13⚓%ᐳ24⚓

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15ὃGHIᜓὃKᧇ>ὃGI⚪MN40'᪷;⚪<='஻=——=10040%×஺Ḅᦪ-100-40-15-10=35,⊡ᐰᩩ¥p᝞'ᔜᦪḄᩩ¥p'b᪥dᕜfgh᜜ᐶklmnopq®¯4Ḅbcᦪ-2000xᔛÚ=900100ூ3%௃'/2ᑖᵨÛ⊤஺2ᑖᵨAQ⊤xy⌱^2ᔣὁ¸¹ᐶkmnº»Ḅ᪛¾᝞'A.4,D.Dஹ1212/|\/|\/|\/|\42஺24D124AD4AD]222>ᐳᨵ12"àᐸÀ2ᙳÂDḄᨵ2â21/.À2ᙳÂDḄᭆ᳛->=126ூTU௃V⚪ὃWḄ4ᩩ¥päᡧ¥pḄæᔠèᵨé᪛¾|äᑡ⊤|\]p´Ḅp=ᑮê⌕Ḅ4_⚪Ḅᐵ`.n23.᝞ᙠí☢ïðᙶ᪗>óôᦪõ=ö+²Ḅ÷øÏùôᦪy=—Ḅ÷ûx¯4(—1,2),8(g>1)ýT.B16⚓ᐳ24⚓

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/DC=2DA,஺Ḅᙶ᪗.2ூᫀ௃(l)y=>y--x+1&x(2)(2,8)ᡈ(2,-4)ூ,᪆௃nூᑖ᪆௃(1)//(-1,2)0ᐭy=-2஻Ḅ3ᓽ56ᑮ89:;ᦪḄ,᪆=x/8(m,-1)0ᐭ6Ḅ89:;ᦪḄ,᪆=6ᑮ>Ḅ3/Nஹ8AḄᙶ᪗0ᐭB;ᦪy=+2CḄ3ᓽ562B;ᦪḄ,᪆=&(2)᪷EFGᩩIJK/஺ḄLM஺Ḅᙶ᪗ᵫ஺C=2஺6ᑮ஺C=6,PQ6CḄᙶ᪗.ூRS1T,௃n,U//(-1,2)0ᐭV=6,x,6஻=-2,...89:;ᦪḄ,᪆=᜛=--,X2/8(w,-1)0ᐭy=—6x2-1=--,m,6Z=2,••BḄᙶ᪗(2,-1),/4(-1,2),B(2,-1)0ᐭ]=^+66,_17⚓ᐳ24⚓

17ὃcdeᜓὃgᧇὃce⚪jk-k+b=22k+b=—l&.B;ᦪḄ,᪆=l᜛=-x+1&ூRS2T,௃,U•••
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18ὃcdeᜓὃgᧇὃce⚪jkூ,᪆௃ூᑖ᪆௃(1)ᵫ{᪾Ç{48஺ḄᔜḄLÉÊᨵᦋ5,U(2)¶·{8EFCËÌ{56|¹&DHCH(3)ᵫÍÎKᳮ58,ḄLж·Ñ8C//SABGE,6ᑮ——=——0ᐭᦪ3,BEEGEG,ᓽ56ᑮᫀ.ூRS1T,௃,UU/8CKᙠᙢ☢ᔣ{᪾{᪾Ḅ{ᦋ({ᐹᨵKឋ)..♦•ᵫ«¬ḄឋÔ5G{ḄᔜḄLÉÊᨵᦋ.AB=BE,EF=AD,CF=CD,ᦑᫀlUCD,AD.ூRS2T,௃,U•••{Z8C஺{.AD//BC,AB=CD,AD=BC,,:AB=BE,EF=AD,CF=CD,:.BE=CF,EF=BC,...{8EFCËÌ{.EF//BC,.EF//AD3ூRS3T,௃,U᝞EEG,8cG,•3DC=AB=BE=80cm,7ஹH9CDḄ¤CH=DH=40cm,ᙠMA8//C¤NBCH=90஺,BH=y]BC2+CH2=V402+302=50m஺>n,EGLBC,:.NEGB=NBCH=90°,_19⚓ᐳ24⚓

19ὃcdeᜓὃgᧇὃce⚪jk.CH//EG,.?BCHS/XBGE,.BHCH'~BE~~EG•50_40AEG=64,EF//BC,.EFvBCÂÃḄÄÅlMem.ூt௃u⚪ὃyÙ{ḄឋÔஹËÌ{ḄᑨKÛឋÔஹÍÎKᳮஹÜÝÞß{ḄᑨKÛឋÔ§Gàᮣâãᵨ¸äឋÔ,åS⚪,⚪Ḅᐵ.25.æᦪçᐶéRêëᑴíßîᑮïð±Ìñᙢí¨âò᝞óUঞট(1)ö÷ÀᳮUᑴíßîÇøù
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20ὃPQRᜓὃTᧇAὃPR⚪WXY⚔(PḄ.ZPOQ=60',"᪛Ḅ`aK4D5e஺ᑮᙢ☢Ḅ`aOKD1.5eij᪛FAH.mV3«1,73rstuvᑮ01ewm3wxyz{9;

21ὃPQRᜓὃTᧇAὃPR⚪WXPDPDm=-----------------tan/tanaPD_mtanatari£tana-tanmtan«tan/?ᓝÓPH=PD+DHtan«-tan'Jp»tanatan^+LᦑᫀD:(tana-tan£)ூÕ௃Ö⚪ὃ×¢%·¯ÂḄ.ஹØÇ⚪¢Ö⚪ḄᐵÚÛ1v⚪ºᑭᵨᦪ¯sᔠḄÝÞ¢.26.ßàáâ¸ᦪã="2+bx+c(4H0).___II1I.~OXজᜓᵨ(1)è஺=-1,é¸ᦪêëì(0,3),(2,-5)'j+áâ¸ᦪḄ¢᪆Ä%íᑏµïᱥxðñò⚔Ḅᙶ᪗;(2)ᙠজÂõµ(1)¸ᦪḄᜧ÷êø᪷®êᑏµ¸ᦪù23úûxḄùý;(3)èa+b+c=0éa>b>c,Aᐗ
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22ὃ&cdᜓὃfᧇὃ&d⚪hi(3)᪷j⚪VᑖkIJ4=1,b=-l-c,l%P%஺Ḅᙶ᪗mᐭᑖkIJo,᜜,ᑭᵨqG'(ᜧ-ᓽH.ூ-s19:௃:t—1,uᦪ(0,3),(2,-5)%a=-1[«=-1c=3=>sc=3,-5=4a+2b+cb=-2
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