2022年河北省唐山市迁安市中考数学二模试卷（附答案详解）

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2022
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13ᙠRtBDEDE=5cm,BD=3>/2cm,BE='DE?-DB2=J52-(3V2)2=V7(cm),]3«4EÛºḄÜÝ>(7-6cm,ᦑᫀ>!5,(7-V7).ᙠX134஺#OFLAB,ᚖÏ>ÞᐜᙠRtADBFᑭᵨ┦|{|»ᦪḄOàá஺F,8FḄâ©áEFḄâᯠ9ᙠRtaDEFᑭᵨäåOᳮá஺EḄâ᝞X2,ᙠM8QEᑭᵨäåOᳮáBEḄâU6ᓽQ.⚪ὃW:y|{|Ḅᵨ᪷M⚪_ḄæᩩèéeᔠXêë〉íḄîï7⚪Ḅᐵ.19.ூᫀ௃(1,5)2ூ᪆௃!(1)ít=3½7(0,3),4(ð1,1)Ḅ“òó4”ᙶ᪗>(1,5),ᦑᫀ>!(1,5)xÆ4M(2,l)Ḅ“òó4”NḄᙶ᪗>(-2,2t-l),•.•4N(—2,2t—1)ᙠ»ᦪy=—9ḄX½78t=2,ᓽrḄ÷2xᦑᫀ>!2.(1)᪷M⚪¸Q“òó4”o“òóø”©QB⚪x(2)᪷M⚪¸QBá%4NḄᙶ᪗ᯠ9ùᐭûü»ᦪᓽQá%fḄ÷.⚪ὃW:ûü»ᦪX4Ḅᙶ᪗ᱯþᙶ᪗nXÿᓄ-⚪Ḅᐵ⚪⍝ḄT,᪵"#$%⚪&ᓫᓄ.20.ூᫀ௃Bூ᪆௃-(1)/0=-2,ᑣ-2%+6=10,,•Aஹ8ᑖ8⊤:ᦪ2ஹ10,•4B=10—2=8<(2)জ••3ᙠ4?@*,•—2%+6>2,Ax<2<ঝ•••x<2,C14⚓ᐳ21⚓

14•'—x>-2,ᑣ-X+4>2,••ᦪF⊤:ᦪ-x+4ḄGHᙠAḄ?IJ-(—x+4)—(—2%+6)=%—2<0,-%+4<-2x+6,ᓽᦪF⊤:ᦪ-x+4ḄᙠBḄMIᦪF⊤:Nx+4ḄHᙠOPABᦑᫀ-B.(1)RA8⊤:ḄᦪSTᓽ"RAAஹ8UḄVW<(2)জᵫᦪFAY-2x+6>2Z"A[GḄxḄ]<ঝᐜᵫᓄ<2AYNx+4>2,`a⊤:ᦪNx4-4ḄᙠBḄMI

15⚪ὃhÀNᐗ{jµ¶ḄGᵨ#nᵫÁÂÃᑨÅÆÇÈ⚪Ḅᐵ-(1)Êlᐵv¹ᑡYNᐗ{jµ¶<(2)ÌÍÎÏᙊ¼⊤☢®Ḅ½¾ᙠ▭%⚪ḄÑᵨ.23.ூᫀ௃204.5ᑖூ᪆௃-পj×hḄØÙᦪ2+ᔁ=20(Û),“4ᑖ”ḄÙᦪ20-(10+2+1+1)=6(Û)ᦑᫀ-20,4.5ᑖ;(2)ᑡ⊤᝞á:12331(24)(3,1)(3,1)2(1,2)(3,2)(3,2)3(1,3)(2,3)(3,3)3(1,3)(2,3)(3,3)ᵫ⊤ᐳᨵ12l"ãä⌱“ᡭᑖç3ᑖḄèéὅ”Ḅᨵ2äᡠ#⌱“ᡭᑖç3ᑖḄèéὅ”Ḅᭆ᳛ᔁ=-<126(3)íᦪîᨵïᦋð.ᳮᵫ᝞á-£é5pèéὅḄᡭᑖ²ò½ä-A5ᑖḄᨵ10ÙA4ᑖḄᨵ9ÙA3ᑖḄᨵ4ÙA2ᑖḄᨵ1ÙA1ᑖḄᨵ1Ùôᦪ`Ḅíᦪ5,³ᦪ`Ḅíᦪõ5,ᵫa⊤"íᦪîᨵïᦋð<(1)ᵫ“3ᑖ”Ùᦪnᐸᡠᓰ÷ᑖøRYØÙᦪùTRA“4ᑖ”Ùᦪᓽ"⊡ᐰÃü,bᵫpᦪḄýþ"Aᫀ<(2)ᑡ⊤AYᡠᨵl"ãädÊᑮᔠᩩḄᦪᑭᵨᭆᫀ᳛16⚓ᐳ21⚓

16(3)᪷ᦪḄᓽ.!⚪ὃ$%ᡧ'()*+ᩩ'()*⚪Ḅᐵ-./0()*1ᨵᐵ34ᙠ1634789:;<=ஹᑖ᪆ஹẆB()*CDEFGHḄᑨJ+KL⚪.Mὃ$%ᭆ᳛ᦪḄ.24.ூᫀ௃(1)QROPஹACஹPCஹAPஹPB,ᵫ⚪TU/.DOA=Z.POB=60°,vOP=OB,P08.VWXY'■1•Z.B=60°,•••AEP—AEP,#./.PCA=NB=60°.(2)ᵫ(1)U=60஺,LPAB=30",ᵫ⚪TU/-DAO=90°,/.DOA=60°ᙠAOA஺\AAPB]Z.DAO=/.APBOA=PB,./.DOA-%B■■ADAO^^APB(ASA)(3)E^EEᐵ_`aABḄbc^F,ᵫᙊḄbcឋU^fᙠ0஺gEM=MF,■■■EM+PM=MF+PMhMஹFஹfX^ᐳa7MF+PMᨵᨬjk!7MF+PM=FP=2x3=6.ூ᪆௃(1)QROPஹAC.PCஹAP,PB,ᐜnoAPOB.VWXY'ᯠqᵫᙊᕜYᳮᓽFᫀ.(2)ᵫ(1)UNB=60஺Z.PAB=30°,ᵫ⚪TU^DAO=90°,4004=60஺ᯠq᪷ᐰVXY'ḄᑨᓽFᫀ.(3)E^EEᐵ_`a4BḄbc^F,ᵫᙊḄbcឋU^fᙠ஺஺gᡠuEM+PM=MF+PM,hMஹFஹPX^ᐳa7MF+PMᨵᨬjk.v⚪ὃ$ᙊḄwᔠL⚪xyᙊᕜYᳮᐰVXY'ḄᑨᙊḄbcឋuyᙊḄzᐵឋ{wᔠ|}~◤⌕wᔠᵨUK.

1725.ூᫀ௃(1);8ᙠa=g᪷⚪Tg=2•••5(5,2),••BᱥaBCDḄᨬ^ᑣᱥaBCDḄ᪆y=a(x-5)2+2⚔^᪷⚪T!7஺(7,0),ᐭ᪆7-5+2=0,a=-5••⍝BCQy\xᦪᐵy=-i(x-5)2+2(2)gy=|7ᑣ-*X-5)2+2=|,%i=6,x=4,2.x=4<5,2•••x=4¢£23¤y=6ᐭy=/]x=I¦6),,513A6——=—,33!7§ὅ©⍝ª^Ḅ«¬©®¯(3)᪷g☢ᡠ8(5,2),஺(7,0)7!748஺஺=45°,ᑣ஺^±²³²´ᑣ஺஺ᨬjk7,)•:µ”OD2OD<2OP=12,7

18(2)জh^Pᙠ^EḄ³ä7PAḄ·PᑮaABḄ©d,•••AC=y/AE2+CE2=>/2,d=y[2,•••^\^Cáᔠ.:.a=1.ঝh^Pᙠ^EḄ´ä7^PᑮaABḄᚖaḄ·}PᑮaABḄ©d,%BCD=45°,•CF=yj2AC=2,AF=AC=y/2.Ï^f\^fáᔠ.vOF=OC+CF=3,#•P(3,0).***Q=3.wgàd=&,aḄk1ᡈ3(3)জh^Pᙠ^EḄ³ä7PAḄ·PᑮaA8Ḅ©d,PA>AE,d᦮ᦪPE=y/PA2-AE2=V3.•••OP=OE-PE=2-M.AP(2-V3,0).•••a=2—V3.ঝh^P\^Eáᔠ7PA=d=l,ᔠ⚪TP(2,0).#•a=2.ঞh^fᙠ^EḄ´ä7^PᑮaABḄᚖaḄ·}PᑮaABḄ©d,Ê^PEPH14B_^H,᝞*

19V%BCD=45°,•••CP=V2PH=2V2.•••OP=OC+CP=2>/2+1.a=2V2+1.hd=37ᓽP”=3,v%BCD=45°,CP=\[2PH=3V2.AOP=OC+CP=3V2+1>5,±ᔠ⚪T.wgà^Pᙠa஺஺gÿ
d᦮ᦪᑣ஻Ḅ2-ᡈ1ᡈ2ᡈ+1.ூ᪆௃ூᑖ᪆௃⚪⌕ὃᦪᦪḄ᪆ᦪ!"Ḅឋ$ᦪ!"%&Ḅᙶ᪗Ḅᱯ*+,ᳮ.Ὺ01213Ḅᑨ5ឋ$⚪6▅89⚪:ᳮ;<=>ᵨ@A6⚪ḄᐵC.(1)জᑭᵨᦪGH0IABḄ᪆JKHᑮ&CḄᙶ᪗M&AN4E1CDO&E,ᑭᵨ.Ὺ213Ḅᑨ5ឋ$ᓽQHRSTUঝᑭᵨ@AWᓽQU(2)ᑭᵨᑖXYTḄZ[\ᑖজ]&Pᙠ&£Ḅ`abঝ]&Pᙠ&EḄcabᑭᵨ@AḄdAWᓽQU(3)ᑭᵨᑖXYTḄZ[\ᑖ]জ&eᙠ&EḄ`abঝ]&f5&Egᔠbঞ]&Pᙠ&EḄcabᑭᵨd᦮ᦪjd=2,d=1,d=2,ᑭᵨ+,ᳮGRIkPE,PCḄlmJKGHIk0PḄlᑣSTQH.ூW௃n(1)জp0I4BḄ᪆y=kx+b,(2k+b=l"l3/c+b=2'H:{:nli-•0IABḄ᪆y=x—1.jy=0,ᑣu—1=0,•.x=1,w20⚓ᐳ21⚓

20C(l,o).•oc=1.ᑣE(2,0).OE=2,AE=1.:.CE=0E—OC=1.:.AE=CE.•%BCD=Z.CAE=45°.ᦑWᫀn45Uঝ}WᫀU(2)}Wᫀ;(3)}Wᫀ.