山东省济南市2021-2022学年中考数学模拟试题（一模）含解析版

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r-VSDB=yX6X3µ=96AA.\SADFC=SAADB-SAABF=9V3-=55VSC=-1-X6XFM=,ADF5MFÐ9.DM=Q55921/.CM=DC-DM=6--=—5590MF3J3/.tanZDCF=——=—^—=^L±CM2175ᦑঞ;514⚓/832⚓

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21ூ7௃⚪ᑖ᪆JCêCDLABnD,ᑣᵫì)*CDBD,íî)*AD,WX)*æᙢÔABḄçq.⚪7᪆JCêCD_LABnD,ᵫ⚪ïJZCAB=45°,ZCBA=30",.\CD=—BC=200(m),2BD=CBcos(90°-60°)=400x1=2006(m),2AD=CD=200(m),AAB=AD+BD=200+200=546(m),ὃJðñᡂóôᓄ:¿x¿±IḄᦪõᡂó.22.ö÷ø¡ùᦔ⁚îᵯᘤḄþÿ⊡
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23ὃQ51.ᡧáâ㦲2.ᑡ⊤Ëä᪛ɦË.24.᝞¦ᙠå¸áABCDxæBçBE_LCD,ᚖz(QE,éêAE,F(AEQ,dNBFE=NC.(1)Fë5ìABFs^EAD5(2)AB=4,ZBAE=30°,FAEḄí.ூ,ᫀ௃(1)ëï/᪆²(2)ðñ3ூ/᪆௃ூ1/௃2⚪ᑖ᪆5(1)ᵫåḄឋóᩩõIᑮNAFB=NEDAö/BAE=NAED,ëI÷ø²(2)ᵫåBNABE=90°,ᙠRtZXABExᵫùú©úáḄឋóûü\ᳮFIAE.2⚪/᪆5(1)ë5²AD஻BC,.".ZC+ZADE=180°,VZBFE=ZC,.*.ZAFB=ZEDA,VAB//DC,:.ZBAE=ZAED,/.ìABF^AEAD²(2)/5VAB/7CD,BE1CD,.♦.NABE=90",VAB=4,ZBAE=30°,².AE=2BE,_24⚓/b32⚓

24ᵫûü\ᳮFIAE=5.325.᝞,ᦪy=kx+bḄA(0,-2),B(1,0),ᦪḄᙠ▲ᑁ"#M,%OBMḄ☢()2.(1)*ᦪ+ᦪḄ⊤-./(2)*AMḄ01/(3)P4x56789AM_LPM<ஹ*>PḄᙶ᪗.12ூBᫀ௃(1)EFG᪆.)y=2x~2;ᦪG᪆.)Ky=—/(2)3;(3)PḄᙶ᪗)(1b0).ூG᪆௃ூMG௃N⚪ᑖ᪆K(1)᪷Rᦪy=k,x+bḄSAஹBTUbஹkiḄWXY8Z[*UᦪḄG᪆.8\M(m,n)_MD±x5#D,ᵫ%OBMḄ☢()2T*>nḄc8dM(m,4)fᐭy=2x-2*>mḄc8ᵫMᙠhiF6*>k,Z[UᑮᦪḄG᪆./2(2)᪷Rkl᪀⌼EopoqZ[ᑭᵨtuvᳮ*>AMḄ0/(3)xM_MP_LAM"x5#P,ᵫMD_LBP*>/PMD=NMBD=/ABO,{ᵫ┦opoqᦪḄv}*>OPḄc8Z[TU>~.N⚪G᪆:প•.•EFy+bḄ4(0,-2)ஹ8(1,0)BD25⚓/32⚓

25b=-2k]+h—0h=—2GUKkஹ=28ᦪḄ⊤-.)y=2x-2,\஻(஻?,“)8_MD_Lx5#D,,SHOBM=2,.-OBMD=2,2—஻=2,2/.n=4,...dJW(«2,4)fᐭ=2x-2U4=272,m=3KM(3,4)ᙠhiF=&68X.k/.4=—2,3612,12ᦪḄ⊤-.)K=7/x(2)xM_MF±y5#F,ᑣFM=3,AF=4+2=6,**,AM=16?+32=3\[5/(3)x”(3,4)_MPJ_AM"x5#P,VMD1BP,JZPMD=ZMBD=ZABO04/.tanZPA/D=tanZA/5Z)=tanZABO----=2,OB26⚓/32⚓

26ᙠRtAPDM,——=2,MD/.PD=2MD=8,.*.OP=OD+PD=11.•.9PM_LAM,<PḄᙶ᪗)11,0.K⚪⌕ὃ¡¢ᦪᦪḄ"ᡂ¤8¥¦ᑮḄl§)ᵨ¨v©ᦪª*ᦪḄG᪆.ᦪḄG᪆.ஹ┦opoqᦪḄv}8«l¬6l§4GB⚪Ḅᐵ®.26.ᙠ¯WqN8C஺8²E,Fᑖ?@D,C´<>µ8¬¶Ḅ·1ᙠEFQC,CB6¹².1᝞1,9EᙠºQC6»஺ᔣC¹²8´<½ᙠºC86»Cᔣ8¹²<8¾¿NE+஺½"#½8ÀÁᑏ>4E஺½ḄᦪÃᐵ©+ᙢÅᐵ©8Æ▊Èᳮᵫ/2᝞2,9E,½ᑖÉᙠº8,8cḄËÌF6¹²<8¾¿/E,DF,1Ḅ~ÍᡂÎᔩÐÀÁE¿ÑB“4"ᡈ“ᔲ”8Õ◤×È/¾¿4C,ÀÁE¿ᑏ>%NCE)ØῪpoq½Þ²àáḄ₝.4D=2,N*>FãCPḄc.ூBᫀ௃1AE=DF,AE_LDF,ᳮᵫäG᪆/2ᡂÎ8CE:CD=åᡈ2/375+1ூG᪆௃ூMG௃N⚪ᑖ᪆K1᪷R¯WqḄឋè8ᵫSASᐜ×U4ADEë4DCF.ᵫᐰØpoqḄឋèUAE=DF,ZDAE=ZCDF,{ᵫØoḄío¶ØTUAEJ_DF/2ᨵïðñKজ9AC=CE<8\¯WqABCDḄº0)a,ᵫtuvᳮ*>AC=CE=J^a27⚓/32⚓

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31(3)᝞.2,¥AM=t,ᵫAB=2,BM=2-t,ᑣDN=2t,/•SAM=—x(2-t)x2t=-t2+2t=-(t-1)2+i,2s=M_f1iᑮQD=r4M☢|☢|1.r=NᙠKL;Ux;U2cᓫkᜐᡈ=NᙠKL;Ux;2cᓫkᜐ.32⚓/32⚓