2022年浙江省舟山市定海区中考数学一模试卷（附答案详解）

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2022
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3ஹ²ÿ⚪(ᜧ⚪ᐳ8⚪ᐳ66.0ᑖ)17.(1-V2)°+2cos45°-V8;ᓄ(a+2)2—a(a—1).18.▅ᑡ⚪..—+—————=—஻,X+2(X+2)(X-2)2-X'!"#(x+2)($%2),(x+(x—2)*+(/₢_2)]=£(X+2)(%-2)ᓄ)(*-2)+4%=2(>+2),-./⚗)x—2+4x—2x—4=012x=2•••%=234Ḅ.6789:3ᔲ<=>?@<=Aᑏ<=Ḅ⚪.19.CDEFGẆIᡠKLM%NOGᙠQRGᦔTLU᝞WᡂYᢥ[\ᑺ^_ᵨabᓣ⊈efgG^y(hi)jTkx(T)Ḅlᓄmn᝞oᡠpqrsᡂYᢥ[\ᑺ^_ᵨt᪷vowxyᑡz⚪.(1)_Gt{T⊈efg^ᨬ}~ᨬ}abᓣhi>(2)s2WXW8Tyᐵ*Ḅᦪ᪆~(3)᝞Wabᓣ⊈efgG^83hiᡈ3hi#CTᶭᨬᨵᦔqr12OGḄᨵᦔT3T>20.᝞oNPAQ385ḄO04PCḄ7,AQ8,C7BᑖN0B4.(1)4P3஺஺Ḅᑗ~(2)AT=4,BCḄ.¡4⚓ᐳ22⚓

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7ᦑ⌱:B.᪷/ᭆ᳛abᓽ<.=⚪&⌕ὃ@uDஹ(a+b)2=a2+2ab+b2,ᦑr⌱⚗┯tuᦑ⌱!C.}~ᑭᵨḄml᪷Ḅlᑣஹᐰmaᑖkl3ᫀ.r⚪&⌕ὃ@Ḅml᪷Ḅlஹᐰmacd4ᐵlᑣD⚪ᐵ.6.ூᫀ௃Dᵫ⚪04CBC=N1+30°=56°,•••a//b,•••#DBC+43=180°,:.43=180°-4DBC=124°,vZ.A=90°,•••Z2=360°-Z900-300-124°=116°.ᦑ⌱!D.ᵫ⚪0

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9AC=ABZ-CAD=Z.BAEyAD=AE/.$CAD=^BÉS4S),•Z,ACF=OBF,••BFC=Z.BAC+Z.ACF=BOF+OBF,BOF=ABAC=90°,•BOC=BOD=COE=DOE=90°,BD2=OB2+OD2,CE2=OC2+OE2,BC2=OB2+OC2,DE2=OD2+OE2,ᙠRtAABC»RtADAEᵫÊËᳮ!BC2=AB2+AC2=22+22=8,DE2=AD2+AE2=M+M=2,BD2+CE2=OB2+OD2+OC2+OE2=OB2+OC2+OD2+OE2=BC2+DE2=8+2=10,ᦑ⌱!D.Ã~BEஹCD,BE»CD4ıÅ஺CDÄAB±ÌÍÈC4DÎÈB4E(S4S),/ACF=4OBF,ᑣ48஺Ì=ABAC=90஺,6Í4BOC=BOD=COE=DOE=90°,ᑣ8஺2=OB2+OD2,CE2=OC2+OE2,BC2=OB2+OC2,DE2=OD2+OE2,ᯠÐᙠRtAABC»RtÈDAEᵫÊËᳮBC?=AB2+4஺2=8,DE2=AD2+AE2=2,ᓽ

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11•••ZC=æ஺8=84°,ᦑᫀ!84°.Ã~஺40B,᪷/êÑ<ë4஺8=168஺G¸ᑭᵨLᩩîᡠïḄᙊᕜ¿±òᡠïḄᙊóᦪḄLô78klᓽ<.=⚪ὃ@ᙊᕜᳮᙊóஹîஹõḄᐵ½᪷/⚪XḄêÑᩩföáᔠ(÷ø〉°ḄúûD⚪Ḅᐵ.13.ூᫀ௃(Lü-1)ூ᪆௃!•.•Å஺ýþóᙠÎ▲ᑁß»AOABḄ5ḄOCD,4(4,3),•••CḄᙶ᪗(4x(—§,3x(-|)),HP(-|,-1),ᦑᫀ"(#",#1).᪷&'ᣚḄឋ*+ᓽ-..⚪ὃ1Ḅ2'ᣚḄᭆ45ឋ*6ᙠ8☢:;ᙶ᪗<=6᝞?'ᣚ2@A=B6Ck,EFGHḄᙶ᪗ḄIJkᡈ-k.x-314.ூᫀ௃N=7ூ+᪆௃+"QRSXU,᪷&⚪V-WXY"Z=?X—3ᦑᫀ"⁚7QRS]U6᪷&⚪V-Wᔠ_Ḅ`ᦪFᡈ#6ᵫᔠ_`ᦪd'-WXY..⚪ὃ1ᵫe▭g⚪hij#ᐗ#lXY6+.⚪Ḅᐵn2op⚪V6qᑮIsᐵ<,ᑡjCHḄXY.15.ூᫀ௃80)71(8,1),7(2,4)6k=8,12⚓6ᐳ22⚓

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726,2
,734,3
6k=12,•LWA7ᑖᙠḄ6zᔜ2{6%Ḅ2"80
/£Ḅ6-W¥?..⚪ὃ1¦§¨ᦪḄHᵨ6᪷&⚪V¡jᔜḄᙶ᪗2.⚪+⚪ᐵn.16.ூᫀ௃ªᔖ¬33ூ+᪆௃+"1
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BG¸GḄ¹ºᙊḄᙊB6BGᨬᜧ,*+G,GM஻AB,,GN஻AC,ᑖ¯BCJM,N,ᑣNMGN=60஺,¼FM=³=2,FN=7CF=2,•••FM=FN,MN=4,

13.•.Gᙠ@MN½Ḅᙊᕜ¿ÀÁ6QᙊBP,஺AABCḄ᜜B6°±PF,PM,PN,ᑣNMPN=2/MGN=120஺,PF1MN,PM=PN,7.Z.PMN=#PNM="180஺-4MPN)=30°,V3..„2⍩,.<2>/3..„4x^3♦.PF=——MF=——6PnzG=PnM=——MF=—,3333BP=7BF2+PF2=஺+(I)2=·6•.BG=BP+PG*+^=^^.333(1)ÇÈÉ;ÊBᙠ=Ḅ|ᜐ6ÌÍᵨÎ30஺;Ḅ:;É;ḄÉÏᐵ<5ÐÏ¿Ḅ=ឋ*+(2)482ABC᜜±ᙊḄ:Ñᨬᜧ,BGÔᨬᜧ6ÕÖ4cB=90஺,Z-ABC=30°,ÌÍᵨÎ30஺;Ḅ:;É;ÉÏᐵ<¡WACḄ®6ᵨ=ឋ*¡WDCḄ®6×ᵨØÙÚᳮ¡jDBḄ®6ᨬÍÀᵨÇÈWᑮḄÊBឋ*ᓽ-Wᑮ¥?..⚪Ü⌕ὃ1¦É;ÊBḄឋ*6Î30஺;Ḅ:;É;ḄÉÏᐵ<6Þᡠᙠ:๺ᙊBWᨬ6ØÙÚᳮ6+⚪Ḅᐵn2ápâjãä6ÇÈÊBḄឋ*.17.ூᫀ௃+"(1-V2)°+2cos45°-V8=1+2x——2yn2=1+V2-2V2=1—V2(a+2)2—a(a—1)=a2+4Q+4—Q2+஺=5a+4.ூ+᪆௃(1)ᐜæçᱯé;ḄÉ;ᦪஹêl᪷ë5ìlí6×æçîï6Íæçðñ(2)ᐜæç᦮ëḄîï6×æçðñ.Õ⚪ὃ1¦eᦪó᦮ëḄôᔠÀçõö6ᐵn2õpÚápḄÀç÷ø6²õGᔜùÀçúûápæç.14⚓6ᐳ22⚓

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3=3%,=1;|y=3ᐭy=-x+8,
3=—x+8,=5^•MḄᨵᦔP@5-1=4(OP)+ᓽMḄᨵᦔP@4OP.

15ூ᪆௃(1)᪷JKSḄᦪ+16ᑏ-LMNOP+⊈RSTUᨬW^ᨬWXYᓣ\]^(2)᪷JKSḄᦪ+16-_2SxW8P+yᐵdxḄeᦪ᪆^(3)᪷JKSᦪ+16-OWxW2PḄeᦪ᪆+ᯠN|y=3ᐭ(2)SḄ᪆ᙠ0

1621.ூFᫀ௃
(1)Õ4Ḅ᩟×ᦪ
240+60=300(Ø),ÙÚᔠÛᶭᑮ5ÝÞßḄØᦪ
240x2.5%=6(Ø)+F
AÕ45300Ø+àÕ4Ḅ᩟×S+ᨵ6ØÙÚᔠÛᶭᑮ5ÝÞß^(2)•.•ÙÚÛᶭᔠḄáᑖ᳛"ãx100%=80%,äåækçÙÚᔠÛᶭḄ᩟×ᨵ10000x80%=8000Ø+bè§ᙳê᳛",᪷⚪
8000(x+I)2=9680,
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ᙳ᳛!X,᪷#⚪%&8000(x+l)2=9680,'()᳛(3)᪷#**+100ᐗ-ᙳ5000ᐗᓽ.⚪ὃ0Ḅ2ᩩ456ᡧ456Ḅ8ᔠ:ᵨ.;<56
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vAE=QG=4x+4,EQ—AG=3x,PE=PQ-EQ=ll-3x,••ᵯef᯿hᙠAᜐḄok!30஺
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AF-=tn^APE=tan600,a•AE=PE-tan60°,UP4x4-4=73(11-3%),'&x«1.62,:.AB=5x8,ᓽqrABḄ!8sPB=JPQ2+BQ?=Vil2+42=V137>ᙠ/?PCS
BD=y/PB2-PD2=J137-11.22=V11.56=3.4-AD=AB-BD=8-3.4=4.6,18⚓
ᐳ22⚓

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