2022-2023学年北京某中学九年级上学期数学期中考试试卷含详解

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ᜧ▬2022-2023ᔁᦪ
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1Cy=2x+lg-5D.y=2hx+l
B55.᝞AB%4,B,CᙳᙠO஺kBl/஺4c=50°mBNBḄᦪ(hnA.25°B.30°C.40°D.50°6.ᙠoABCBAB=AC=5,BC=8,pA9ᙊSqZrs93ḄᙊB^ᑡuvwxḄ(hnA.%8ᙠ஺AᑁB.%Cᙠ஺AkC.FBCz஺A{ᑗD.FBCz஺A{}7./0Uᦪy=d+~+஺ḄAV(hn8.᝞ABᙠ92Ḅw1A8CDB%Mᙠ4஺kA஺B%Nᙠ84kBABM,N{BlNAmBBCN,8M%P,ᑣḄᨬ9hn/ஹ⚪h⚪ᐳ8⚪B⚪2ᑖBᐳ16ᑖn

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7

8ᓅᜧ▬P2022-20238Pᔁᦪ
__________ᡂὃ1.ᔁᐳ8⚓ᐳ⍝ᜧ⚪28⍝⚪⚪ᐳ3⚓.ᑖ100ᑖ.ὃ!120ᑖ".2.ᙠᔁ$⚪ᓱ&'()ᑏ
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10ᦑ⌱A.ூ23௃4⚪ὃ78ᦪḄ9ᣚ!;<=>ᐸḄ@AB4⚪ḄᐵD.5.᝞!2A,B,CᙳᙠH!INOAC=50°J!ḄKᦪB*A.25°B,30°C.40°D,50°ூᫀ௃Cூᑖ᪆௃᪷OPῪRST4cḄឋV!
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.2ூ௃•2A,B,Cᙳᙠ0஺H!NQ4C=50°,OA-OC,ZOAC^ZOCA^50°,ZAOC=180°—2x50°=80°,AC=AC'ZB=-ZAOC=-x80°=40°/22ᦑ⌱C.ூ23௃4⚪ὃ78ᙊḄឋVஹᙊᕜSZᳮஹRSTᑁS_Zᳮ`PῪRSTᑨZ`ឋV!;<=>bcᵨeᐵឋVB4⚪ḄᐵD.6.ᙠfABCg!AB=4C=5,BC=8,hA)ᙊijklm)3Ḅᙊ!#ᑡopgqrḄB*-A.28ᙠ஺AᑁB.2Cᙠ஺AHC.stBC`஺AeᑗD.st8c`஺Aevூᫀ௃Cூᑖ᪆௃wA2jx”!᝞!ᑭᵨPῪRSTḄឋVᑮ84=C”=gBC=4,ᑣᑭᵨ|}Zᳮ
~WA஻=3,ᯠ%᪷O2`ᙊḄᐵḄᑨZA⌱⚗_B⌱⚗ᑨ/᪷Ost`ᙊḄᐵC⌱⚗_஺⌱⚗ᑨ.ூ௃wA2jAH_LBCxH,᝞!

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ஹP,ᑣAPḄᨬ˲)*-/M________C-nA.1B.2C.y/5-]D.72ூᫀ௃Cூᑖ᪆௃ᐜrZ2PḄcÃÍÎ)h8C)smḄkÏÐ!"ÑAPḄᨬ˲ᓽ
ூ௃᝞1,1•••Ò¿TABCQBqT,AB=BC=CD=DA,ZA=ZABC=90°,ZBCN+ZBNC=90°,BN=AM,.AABMRABC7V,

13ZABM=NBCN,Z.ZABM+4BNC=90°,ZBPC=ZBPN=90°,!2PḄcÃÍÎ)h8C)smḄkÏÐ!᝞2ᡠÓ,ÈÉA஺1Ðx2P,4J!ÔḄ²ᨬË!ᙠÕAA8Qg!AB=2,BO=|BC=1,tᵫ|}Zᳮ!AQ=AB2+BO=V22+l2=V5,AP=AO-PO=V5-1,tiᦑ⌱Cூ23௃⚪ὃ78qTḄឋV!ᐰPRSTḄᑨZ`ឋV!|}ZᳮØᙊḄឋV!´⍝tÏᨬÚJ2ḄbªrZWᨬËJ2ḄB⚪ᐵD.ஹÛÜ⚪*⚪ᐳ8Ë⚪!ÞË⚪2ᑖ!ᐳ16ᑖ-9.᝞!ᱏ8=à஺!NC=60°,ᑣZA=.ூᫀ௃60°##60Kூᑖ᪆௃᪷OÐஹáஹᙊiSᐵZᳮ!WAB=AC,"᪷O“ᨵkᑁS)60஺ḄPῪRSTBP¿RST”ᓽ
Wᫀ.ூ௃ä8=ä஺!AB=AC,•.AABCBPῪRST!å•••ZC=60°,

14)P¿RST!.NA=60஺.ᦑᫀ)60°.ூ23௃4⚪ὃ78ÐஹáஹᙊiSᐵZᳮ!P¿RSTḄᑨZ`ឋV!;<=>eᐵZᳮ`ឋVB4⚪ḄᐵD.10.éᑏWkwᙶ᪗í2!¯°)stx=lḄîᱥtḄ᪆(.ூᫀ௃y=x2-2x(ᫀðk)ூᑖ᪆௃ᡠÑîᱥtḄ᪆()y=o?++h஺ñ0),ᯠ%᪷OᩩórZᦪᓽ
.ூ௃ᡠÑîᱥtḄ᪆()y=ox2+Zu+c3x0),••îᱥtwᙶ᪗í2(0,0),c=0,•¯°)stx=1,:.x=----=1ᓽ஻=—2a2a±஺=1,ᑣ஺=k2,îᱥtḄ᪆()y=f—2x/ᦑᫀ)y=x2-2x(ᫀðk).ூ23௃4⚪ὃ7ÑᦪḄ᪆(!;<=>îᱥtH2Ḅᱯùஹ¯°ú_ûZᦪB4⚪ḄᐵD.11.᝞!PA,P8B஺஺Ḅᑗt!A,8)ᑗ2!ZAPB=60°,I஺4=3J!APḄÀ).ூᫀ௃373ூᑖ᪆௃᪷OᑗtḄឋVÑW᪷OᑗtÀZᳮÑWNOPA,᪷Oÿ30ḄḄឋᳮᑮᫀ.ூ௃OP

15B,PA,"#஺஺Ḅ%ᩩᑗ(OA=3,ZAPB=60°,.OA±PA,QA=3,NOPA.ZAPB=30஺2•*-OP=2OA=6,PA=>j0P2-0A2=373'ᦑᫀ536.ூ78௃9⚪ὃ<Ḅ#ᑗ(Ḅឋஹ>30ḄḄឋᳮ?@ᙊḄᑗ(ᚖCDEᑗ7ḄFG#⚪ḄᐵI.12.᝞L(y=᝞+஻PQᱥ(y=f+bx+cWCA,B%7ᐸY7A(2,—3),78(5,0),_`ax2+bx+cx>2ூᑖ᪆௃jkLlmᑮQᱥ(ḄLlᙠ(ḄopḄqᑖLlᵫstu_`aḄb.ூ௃᝞oLᡠwx2a<5zQᱥ(ḄLlᙠ(Ḅopx2a<5zX2+bx+c

16yூ78௃s⚪ὃ<}~ᦪP_`a᪷%ᦪLlḄஹoᐵm_`aḄb#s⚪ḄᐵI.13.᝞LAB#஺஺ḄGCஹDஹE#஺஺Ḅ71+/2=.ூᑖ᪆௃jkᑮN1,N2#ᙊᕜt஺᪷“ᡠᙊᕜ#ᙊḄF”ᓽtᑮN1+N25ḄF.ூ௃0E,VZl=yZAOE,N2=g/B0E,AZ1+Z2=yZAOE+yZBOE=y(ZAOE+ZBOE)=1xl80°=90°.ᦑᫀ5:90°.ூ78௃9⚪⌕ὃ<ᙊᕜᳮᳮᵨᙊᕜᳮ#ᐵI.14.¢x,y£¤(2x+4y-l)(x+2y+2)=0,ᑣx+2y=.ூᫀ௃gᡈ—2ூᑖ᪆௃᪷§uᩩ¨%©aḄª`C«ᑣ¬©at`C«ᓽt.ூ௃••(2x+4y-l)(x+2y+2)=0,/.2x+4y-\=0ᡈ_+2>+2=0,

17x+2y=—^x+2y=-2¯ᦑᫀ5gᡈ—2.ூ78௃s⚪ὃ<±ᦪa²³?@“%©aḄª`C«ᑣ¬©at`C«”᦮µḄ¶·Ḅᵨ#s⚪ḄᐵI.15.¸¹├»Ḅ¼ᖪ¾¿À10ᐗ/¨.ᙠ├»EÂYÃÄÅᖪ¾¬ᜩḄ├»Çy(¨)P»Àx(ᐗ/¨)ÈÉ£¤ᦪᐵay=-5x+150(10WxW30),ᑣᑭÌwλÀxÈÉḄᦪᐵ5,Åᖪ¾»À5___________ᐗ/¨z¬ᜩ├»Åᖪ¾Ðᑭᨬᜧ.ூᫀ௃জ.w=-5A:2+200x-1500(10ᨵᨬᜧ³•xx=2()zwâᨬᜧ³ᨬᜧ³5500¯ᦑᫀ5w=-5x2+200x-1500(10

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