2021-2022学年河南省郑州九年级（上）第一次段考数学试卷（附答案详解）

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2021-2022
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13qᔠ〉Ḅijᐵ)ᑡq.20.ூBᫀ௃(1)'♦.•ABC஺+)•••OA=OC=-AC,AC1BD,2#COD=90°,TDE=-AC,2•DE=OCfvDE11AC,OOEC+)Xv/.COD=90",-ODEC+T(2)'ᙠABC஺)AD=AB=BC=2,4BC=60஺)"1•A4BC+i):.AC=AB=2,OA=1,•••OQEC+)#OCE=90°,CE=OD=y]AD2-OA2=V22-l2=V3,AE=\IAC2+CE2=J22+(V3)2=᜛.ூ᪆௃(1)ᐜᵫḄឋ0A=0C='4C,AC1BD,v஺OEC+)ᓽqT(2)ᐜ᪷hḄឋᳮ)q4CCEḄ¡)v᪷hᳮqAEḄ¡Hᓽ."⚪ὃ%&Ḅឋ)Ḅᑨឋ)ᳮi¢£T¤¥ḄᑨឋḄឋ+⚪Ḅᐵz)¦§ὃ¨ὃ⚪©.21.ூBᫀ௃'(1)400+(15-10)X40=600(ª).B'«ᨴḄ®¯├±j600ª.(2)®¯²ª³Zxᐗ)ᑣ²ªḄᑭµ(158)ᐗ)«ᨴḄ├±j(400+40¶)ª)J⚪>:(15-x-8)(4004-40%)=2400,᦮ᳮ'x2+3x-10=0,'ᓃ=—5(5ᔠ⚪>)RS))x=2.2B'¸®¯²ª³Z2ᐗ7)«ᨴ¹ᑭ2400ᐗ.ூ᪆௃(1)ᑭᵨ«ᨴḄ├±j=400+³ºḄZ»X40,ᓽrqT(2)®¯²ª³Zxᐗ)ᑣ²ªḄᑭµ(15-X-8)ᐗ)«ᨴḄ├±j(400+40x)ª)᪷h«ᨴ¹ᑭ2400ᐗ)ᓽqᐵ§xḄᐗ-.)¼½ᐸ¾¿À14⚓)ᐳ17⚓

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15"ME=DF,•.DE+DF=-AD
211(3)DE+DF=)DTDF-DE=^AD.ூ᪆௃'(1)¾ABC஺ḄäåAC,BD/01P,.PA=PDZ,PAE=#PDF=45°,fvZ-APE+#EPD=Z.DPF+#EPD=90°,:.Z.APE=#DPF,ᙠAZPEtAOPF4PE=#DPFPA=PDA.PAE=#PDF•••æAPEA0PF(4Sç))•AE=DFf•DE4-DF=AD
(2)᝞Ëঝ)½AQḄáM,âãPM,B••ABC஺4DC=120°Ḅ)•BD=AD,Z.DAP=30°,#ADP=Z.CDP=60°,•.æMDP+i).PM=PD,#PME=#PDF=60°,•#PAM=30°,/MPD=60°,•(QPN=60°,•#MPE=#FPD,ᙠZiMPEt)2PME=#PDFPM=PD/MPE=#FPD••.æMPE:æDP/G4S4)•ME=DF,DE+DF=-AD
2(3)᝞Ë)À16⚓)ᐳ17⚓

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ঝ¸áEîᙠAOḄð¡åï7)DF-DE=^AD.(᝞Ë3,½ADáM,âãPW,MPEg/kOPF)(1)ᑭᵨ¾ḄឋqåñḄᐵ)᧕A4PEóqçE=DF,ᓽqDE+DF=AD,(2)½A஺ḄáM,âãPM,ᑭᵨḄឋ)q+i)᧕æMPE/XFPD,qME=DF,ᵫ0E+ME=14஺)ᓽqQE+DF=140,(3)জ¸áEîᙠA஺ï7)DE+DF=\AD,ঝ¸áEîᙠA£)Ḅð¡åï7)DF-DE=-AD.2"⚪ô⌕ὃ%&Ḅõᔠ⚪)öᐰi)¾Ḅឋ)B"⚪Ḅᐵz+øᐰi)ùᝯᙢûü6ᐰi)ýᡠråñåñ¼þḄijᐵ.