重庆市忠县2021-2022学年七年级下学期期末数学试题（含答案解析）

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1113.-2ூᑖ᪆௃✌ᐜᓄNOP᪷RSTᦪḄUV"WᨵYZ[Ḅ\]ᦪ^STᦪ_`”ḄSTᦪ.ூb6௃6""=2□2ḄSTᦪ-2,஻ḄSTᦪ-2.ᦑCᫀ"-2.ூ%&௃(⚪ὃ+STᦪḄUV"WᨵYZ[Ḅ\]ᦪ^STᦪ1]ᦪḄd☢fgZhi]ᦪḄSTᦪ.14.10ூᑖ᪆௃᪷R⚣ᦪḄUVklmnᓽ_6C.ூb6௃6"᪷R⚪p`"x=20—2-2-6=10,ᓽqfrsᩭuvwḄ⚣ᦪ10.ᦑCᫀ"10ூ%&௃(⚪ὃ+x⚣ᦪ0⚣᳛z{|}⚣ᦪ~1ᦪRḄ3ᦪ6⚪Ḅᐵ8.15.(4,4)ᡈ(12,-12)ூᑖ᪆௃᪷R⚪p_`ឰ+3|=|6-2f|,_`+3=6-2ᡈf+3=(6-2஻?)ᯠklmnᓽ_6C.ூb6௃□%M(f+3,6-2%)ᑮx,yḄS4,□|m+3|=|6-2w|,f+3=6-2஻ᡈf+3=(6-2/77),Um=\ᡈm=9,m=lm+3=4,6-2w=4,□%MḄᙶ᪗(4,4),஻?=9f+3=12,6-2□=-12,□%஻Ḅᙶ᪗(12,-12),ᡠ"%”Ḅᙶ᪗(4,4)ᡈ(12,-12),ᦑCᫀ"(4,4)ᡈ(12,-12).ூ%&௃(⚪ὃ+x%Ḅᙶ᪗ᳮ6ᑮᙶ᪗Ḅ0ᙶ᪗Ḅᐵ6⚪Ḅᐵ8.2516.ூᑖ᪆௃ᦪᑖ1ஹ3ᑖḄᜧ¡¢£஻cm,5ᑖḄ¤¡bcm,ᵫ¦_§lj2¨4Ḅ£(a+b)cm,©(a-b)cm,ᵫ48=9cm,BC=14cm,_ᑡ«ᐗ13¬6஺ஹb,᪷R¡Ḅ☢¯°5ᓽ_±Cᫀ.CᫀE6⚓ᐳ13⚓

12ூb6௃6"1ஹ3ᑖḄᜧ¡¢£acm,5ᑖḄ¤¡bcm,ᑣ2¨4Ḅ£(a+b)cm,©(a-b)cm,`"□A5=஻+(஻-஺)=2஺1஺=9,BC=a-^-(a+b)=2a+b=]4,J2a-b=9[2a+b=14’23a=—6`";b=-l25ᑖḄ☢¯=/=¼)2=½cn?25ᦑCᫀ"1.4ூ%&௃(⚪ὃ+x¿À¦¡ÁḄ¬@⚪ᦪᵨÃᦪ5⊤ÅÆÇḄ£ÈÉ4Êᐵᑡ¬(⚪Ḅᐵ8.?17.(1)-(2)1ூᑖ᪆௃(1)ËᵨnÌÍ᪷ஹÎ᪷ḄUVklÏᔠËnᓽ_`Cᫀ(2)ËᵨnÌÍ᪷ஹÎ᪷ஹÑÒḄUVklÏᔠËnᓽ_`Cᫀ.(1)5+6+ᓱ8:Ó5=3+(-3)+|=|(2)-14XV4+|V9-5|+^2^+V-0.125Ó5=-lx2+|3-5|+4+(-0.5)=-2+2+|+(-0.5)=1ூ%&௃(⚪ὃ+xnÌÍ᪷ஹÎ᪷ஹÑḄSᐵËnÕËᵨÖmn(⚪Ḅᐵ8.18.(1)Í☢ØÙᙶ᪗᝞¦ᡠÅA(-3,3)ஹC(1,-1)ஹD(1,3)ফ4-2,2)ஹÜ-2,-2)ஹE2,-2)ஹ.(2,2).ூᑖ᪆௃(D᪷R%8Ḅᙶ᪗_ÝÎØÙᙶ᪗`ᐸß⚔%Ḅᙶ᪗(2)᪷Rᙶ᪗Ó%஺ᑮÍᦡḄ⚔%S4_Ó%஺Íá¡ḄÁâᓽ_㦡.(1)6"Í☢ØÙᙶ᪗᝞¦ᡠÅA(—3,3)ஹC(l,-1),ZX1.3)CᫀE7⚓ᐳ13⚓

13*X(2)6:ᵫ¦¡_"$-2,2)ஹë-2,-2)ஹG(2,-2)ஹD,(2.2).ூ%&௃(⚪í⌕ὃ+xÍ☢ØÙᙶ᪗Á%Ḅᙶ᪗Ḅᱯð¡Ḅឋò4ÖÕᜓãÍáḄ¦¡6⚪Ḅᐵ8.19.ᙠᦪ⊤Åô6᪆(2)xv+16"Aᑖö`2஺+1)-3(2-x)>(x-l)+6A÷Z`32692x+2-6+3x>x-l+6á⚗ᔠù`4x>96`ᙠᦪ⊤Å᝞¦ᡠÅ"4-5-4-3-2-10122345x4-3(x-2)>4-A(D(2)l+2x-6"ᵫ□`"ᵫ`"ÿ<4□Ḅx<\----------ঝI3ூ௃⚪ὃᐗᐗ!"#$Ḅ%៉!Ḅ'ᑣ)⚪Ḅᐵ+.20.(1)50,(2)10,⊡567.(3)360.ூᑖ᪆௃(1)ᑭᵨᩩ>?@5ABᡧ>?@5D"EFḄGᦪᡠᓰKLᓽND"7ᫀP7ᫀQ8⚓ᐳ13⚓

14U2VᑭᵨU1VWᡠ!Xᔠᩩ>?@5D"Z[ḄGᦪ\]⊡ᐰ?@5:U3Vᑭᵨ᪵a@bcd]ᑭᵨ“Z[”ᡠᓰKL!"ᓽN.U1Vghi“cjᏉl”mnᐳᨵ20+40%=50UGVPᦑ7ᫀ50PU2VᵫU1VḄZ[ḄGᦪ50-3-7-10-20=10UGV,⊡ᐰ?@5᝞wnxyGᦪᩩ>?@51800x—=360UGV7a|}᪥“cjᏉl''"Z[”ḄGᦪᨵ360G.ூ௃⚪⌕ὃᡧ>?@5ABᩩ>?@5ᑭᵨ᪵a@bcᑭᵨ5>D")⚪ᐵ+.21.U1V6᪆U2VZE=45°ூᑖ᪆௃UD᪷⚪✌ᐜDᑮ஻CD,ᯠDᑮN54O+NO=180஺ZB=ZD,ᡠADᑮ/¡£>+ZB=180஺ᨬ᪷¦§ᑁ©ª⊡«¬®¯.DᑮAD//BC.U2V᪷⚪✌ᐜD"/3+NBCD=180஺ᯠ᪷/B=NDCE+35஺Dᑮ2ZDCE+ZBCE+35°=180°,°᪷U1VWᡠDX±|"NDCE=45஺ᨬ᪷BE//CD,D"NEḄ²ᦪ.U1V□ZE=ZDCE3BE//CDUᑁ┯©´«¬®¯V□=180஺µ“="µ/84஺+/8=180஺µAD஻8cU¦§ᑁ©ª⊡«¬®¯VU2V[AD//BCZB+ZBCD=180°XDZB=ADCE+35°ZBCD=ZBCE+ZDCE□ZDCE+35°+ZBCE+ADCE=180°□2ZDCE+ZBCE+35°=180°µ4V஻8஺µ7ᫀQ9⚓ᐳ13⚓

15ZBCE=ZDFC=5502NDCE+550+35°=180°Z£>CE=45°XBE//CDZDCE=NE=45°ᦑZE=45°.ூ௃⚪ὃ®¯Ḅឋj¼ᑨ¾¿Àᣚ.⚪Ḅᐵ+ᙠ%ÃÄÅ®¯Ḅឋj¼ᑨ¾.22.(1)60,50(2)20ூᑖ᪆௃(DᑖÆÇÈÉᕡËÌᕡÍḄ├ÏÐxyᐗᨵ«$¿ᐵÒÓ1ᨴḄbᦈᐭ5300ᐗ2ᨴḄbᦈᐭ7800ᐗ᪷⚪ᑡ"ØᐗÙÚ"7ᫀᓽNP(2)᪷⚪ÛÓ3ᨴḄb├ÏÜK1ᨴḄ├ÏÜÝÞßh2812ᐗᑡ"@|ᓽN!.f55x+40y=5300(1)ÇÍÈÉᕡËÌᕡῖâᑖÆxyᐗD஺ã4ãããD[80x+60y=7800fx=60“ᦑÈÉᕡḄ├ÏÐ60ᐗ/ÍËÌᕡḄ├ÏÐ50ᐗ/Í.ெå=5஺(2)ᵫ⚪NÛÓ3ᨴÈÉᕡ├ÏÐ60x(l-10%)=54ᐗ/Í├Ï¿21(80+-/W)ÍËÌᕡ├ÏÐ(50-èé)ᐗ/Í├Ï¿60x(1+40%)=84Í.ᑡ"21D54x(80+-w)+(50--w)x84>2812+5300|W^/n<20,ᦑhḄᨬᜧï20.7(1)ÈÉᕡḄ├ÏÐ60ᐗ/ÍËÌᕡḄ├ÏÐ50ᐗ/ÍP(2)ᵨḄᨬᜧï20.ூ௃⚪ὃØᐗÙÚḄðᵨᐗḄðᵨ⚪Ḅᐵ+ᙠñòó¿ᐵÒᦪ¿ᐵÒ.23.(1)374)“ôõᦪ”,285)“ôõᦪ”(2)஻=132ᡈ264ᡈ396,/(«)Ḅᨬᜧï)36ூᑖ᪆௃(1)᪷“ôõᦪ”¾øùúûḄᦪüீ$úûḄᦪüᓝúûḄᦪü=$úûḄᦪü+ùúûḄᦪüᑨÿ374285ᔲ“ᦪ”.(2)᪷“ᦪ''஻ḄᔜᦪḄᦪ᪷⚪!⊤#3஻$ᓝᦪḄ7Ḅ&ᦪ'(ᔠ⚪!*ᑮᔜᦪᦪḄ,-/*ᑮ0ᔠ⚪!Ḅ஻1234ᨬᜧḄf(«).7ᫀ910⚓ᐳ13⚓

16(1)374“ᦪ”285?“ᦪ”.ᳮᵫ᝞CDE374F3<4,G3+4=7,D374“ᦪ”.0285F2V5,G2+5x8,E285?“ᦪ(2)“ᦪ”஻ḄHᦪa,ᦪb(aஹ6J1K9ḄL᦮ᦪ),ᑣᓝᦪḄᦪPS+M,nn=\ma+lO(a+b)+b=\\Oa+\lb,□“ᦪ”஻Ḅ3&$ᐸᓝᦪSTU7᦮◀EWD~------——=47“+56+XW᦮ᦪUZ—b7Ḅ&;ᦪᵫ⚪\]aa,`_஻=132,^a=l,2a-b=7_"=-5,?L᦮ᦪbc^a=2,2a-6=0_b=4>«,`_“=264,^a=2,2஺-6=7_b=-3,?L᦮ᦪbc^஺=3,2«-6=0_b=6>tz,`_஻=396,^a=4,2a-8=0_h=8>a,a+>=12?1K9ḄL᦮ᦪbc.f”=132ᡈ264ᡈ396./(132)=32-22-12=4,/(264)=62-42-22=16,/(396)=92-62-32=36.Qf5)Ḅᨬᜧ-36.ᦑ7ᫀPD“=132ᡈ264ᡈ396,/(஻)Ḅᨬᜧ-36.ூkl௃n⚪ὃpqḄr⚪Ts᪷“ᦪ''tᑮ◤⌕wxḄᩩz{ᑨ}W~?“ᦪ”T᪷“ᦪ''◤⌕wxḄᩩz(ᔠ⚪FḄᩩz0ᔠ⚪!Ḅ஻12*ᑮᨬᜧḄ/(஻).24.(1)A(-12,0),B(-6,-6)ফkP(-4,0)ᡈ(12,0)(3)^AOPB=2S&Qgcூᑖ᪆௃(D᪷0/=12\*Nᙶ᪗OC=6\*Cᙶ᪗ᵫ8஺$8c=OC=6\*8ᙶ᪗(2)_Pᯠᑖ0<<4ஹᱏ4ஹ>4ᓽ\(3)ᵫ\*OP=|12-3஻?|ஹ஺஺=|6--᝞=D|12-3|\*஺/>=20(7,(ᔠE஺$22□Q8Cᑖ¡OP,0cP¢ஹ£P6ᓽ\7.প:004=12,BC=OC=6,A(-12,0),C(0,-6)□BCEly¦kC,k8ᙠ9¨▲,D5(-6,-6).(2)D_P/^k஺ᙠ஺ஹCSkPᙠ/ஹ஺S_ᓽ0

17iiaQ«UQ8CḄ☢«Ḅ4&0--3/-6=4x-(-f-6)-6,7ᱏ8,0kPḄᙶ᪗P§x8-12=12,□k¬(12,0)fkP(-4,0)ᡈ(12,0).(3)D_P°ᵫ⚪!]OP=|12-3/n|,eC=|6-|/n|=y|12-3w|,OOP=2QC,EE028$E08cᑖ¡OP,OCP¢£P6,E=2S^28c.ூkl௃n⚪±⌕ὃp²³´Ḅ☢«Ḅ34µஹᙶ᪗$¶´Ḅឋ¸¹]ºkᵨᑖ¼½¾Ḅ¿ÀÁr⚪7n⚪ḄᐵÃ.25.(1)57°(2)?FÄEC=90(ᡈÅAEC2^=180)(3)NBAE=6O஺ZDCE=]20°ூᑖ᪆௃(1)ÆkEÇEG஻AB,᪷ÈÉÊḄឋ¸ᓽ\*□”ḄËᦪ(2)ÌÍ஺CᑮkÆkCÇEÎ;ḄÈᑖÊÏᑘ¦kP,ÆkEÇEG஻Afi,᪷ÈÉÊḄឋ¸\*NGEC=NEC”DGEA=?EAB,\Ñ*EAEC=?ECH?EAB,EAPC=?PAB?PCH,᪷³ÈᑖÊḄIJBECH=Z?PCH,SEAB=HPAB,DAEC=HAPC,ᓽ£MPC=gc)AEC,KLECP?PCHa,DECF=?FCDB\*a+/?=90?,ᓽNFCP=90஺\*Å/ÒÓC=90,`ᓽ\*(3)ᵫᚖÕḄÖÈÉÊḄឋ¸\Ñ*NP=90஺ZF=NPAE,ᵫ(2)Ö³´᜜³Ḅឋ¸\*Ŭ90?ᱛÙ=180,ᓽ\*ÅPAE1F30?,ᓽ\*NAEC=120஺?BAE22PAE60?,᪷ÈÉÊḄឋ¸Ö³ÈᑖÊḄᓽ\*Ú஺CE.B(1)D᝞¶DÆkEÇEG஻AB,□DAB//CDSEG//AB//CDS7GEC?C180?,DA£G=?EAB,'DC=117°,\?GEC180??C180?117?63?,•.y4EC=120°,7ᫀ912⚓ᐳ13⚓

18\ÜPEG=AEC-WEC=UO-63?57?,\?EABBAEG=57?(2)D᝞¶ÌÍ஺CᑮkH,ÆkCÇÝÞ஺”ḄÈᑖÊE4P,ÆkEÇEG//AB,DAB//CD,\EG//AB//CD,\?GEC?ECH,DGEA=?EAB,\?GEC+1GEA?ECH?EAB,ᓽEMEC=?EC஻?EAB,ßᳮ*f)APC=?PAB2PCH,•.•k¬P□H4EஹQDCEḄÈᑖÊᡠᙠÕÊḄÏk\?ECH=MPCH,f)EAB=2?PAB,\?AEC=2!APC,^DAPC=^DAEC,?ECP?PCHa,bECF=?FCDft,ᑣ2a+2/7=180஺\a+£=90?,ᓽZFCP=9Q°,N•PLFCPIFÒ75c=180,\IFÒÅC=90,\?¬-WC=90(ᡈ2?AECᓿ=180)(3)D-.-FPOCP,:.ZP=9O°,-.-AE//CF,\?F?PAE,-.■?AEC2ᱛÙ=180,?AEC2PAE?P?F90?,\?F90?2?|F=180,\ᙠ=30,\?PAE?F30?,?AEC?F90?30?90?120?,\?BAE2?PAE60°,-,-AE//CF,\ᱛ|FCE=180-åEC=180T20æ60,\Q*CE=2FCE=120?.ூkl௃n⚪ὃp²ÈÉÊḄឋ¸³ÈᑖÊḄᨵᐵ34³´᜜³Ḅឋ¸ÇèéÊÁn⚪ḄᐵÃ.7ᫀ913⚓ᐳ13⚓