2021-2022学年天津市西青区高一（下）期末数学试卷（附答案详解）

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2021-2022
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4*Wfþ20.᝞ᙠZBCC—4B1C1D1C61☢4BCC,☢4BCDBC=DC=DB=AA=2,EBCḄ.T(I)"#$஻☢DEG'(II)"#$☢DEC௃L☢&BCG'(in)"-CC1.☢DEGᡠᡂ1Ḅ234.

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601B=$,ᦑᫀ0$gb.᪷ZᢗÇᔣḄ_`ᔣᦪÉḄ_`ឋÊᓽ'".h⚪ὃjᢗÇᔣḄ_`ᔣᦪÉḄ_`ឋÊẠ⚪.13.ூᫀ௃0.480.92ூ"᪆௃"$;0ÍNὃÎEÏÐÑᑣÍNÒÓÔὃÎKEÏÐÑÕÖᡠ×ØÙḄᭆ᳛00.8x0.6=0.48.ÍNÒÜÓÔḄᭆ᳛0(1-0.8)(1-0.6)=0.08,ᦑÍNÄÝᨵdNÓÔḄᭆ᳛01-0.08=0.92.ᦑᫀ0$0.4840.92.(1)ᑭᵨEÏÐÑÕÖḄᭆ᳛Þßàá"ᓽ'.(2)ᐜÍNÒÜÓÔḄᭆ᳛ã᪷ZFÑÕÖḄᭆ᳛ä01"ÍNÄÝᨵdNÓÔḄᭆ᳛ᓽ'.h⚪ὃjᭆ᳛ḄßKẠ⚪"⚪Ø⌕åæç⚪EÏÐÑÕÖᭆ᳛ÞßàáḄᮣᵨ.=10⚓ᐳ14⚓

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1117.ூᫀ௃(I)ᵫ012ᳮ4ឤ58=78=%:=5V012ᳮ4?=@4sinC=A"=C=DsinBsinebyf77(E);:ᵫ012ᳮ4cosC=XW=%G=H2ab2X3Xb7sinC=Vl-cos2C=—.7ூ᪆௃(I)ᑭᵨ012ᳮLcosBḄM᪷BḄOᓽP(E);(1),ᑭᵨ>12ᳮᓽP;(2),ᑭᵨ012ᳮLcosCḄQRS.⚪ὃ#T>012ᳮḄUᵨὃ#TVAḄW%&'()*Ạ⚪.18.ூᫀ௃(/)♦.•(28<)•(8+2)=282+3YZ<2G=2+3a-b-4=1>••a-b=1-("Acos"[=ᡊ=]^0610,_(III'),■\a-2b\2=a.2—4a-b+4b=1—4+8=5'•••1«-2h|=V5-(᪆௃(/)᪷ᦪbcḄW%def᪀⌼i4jP(஻)ᵫᔣbᜳnef$%4jP(஻/)ᵫᔣbᦪbcW%d423|2,QR4j.⚪ὃ#o☢ᔣbḄᦪbcW%ὃ#VAḄW%&'()q᫏⚪.19.ூᫀ௃(I)ᵫ⚪s(0.002+0,0095+0.011+0,0125+0,0075+a+0.0025)x20=1,4a=0.005,(II)tuvᑖᡂyḄoᙳᦪ170x0.04+190x0.19+210x0.22+230x0.25+250x0.15+270X0.1+290x0.05=225.6,ᡠS{$ᱥᳮஹᓄVஹAᱥtuvᑖᡂyḄoᙳᦪ225.6.(HI)জtuvᑖᡂyᙠ[220,240)VAᦪ100x20x0.0125=25,tuvᑖᡂyᙠ7-1[260,280)ᑁḄVAᑖᨵ100X20X0.005=10ᦑ᪵:=£ᡠStuvᑖᡂy[220,240)ḄVAᦪ25xᗩ=5,tuvᑖᡂy[260,280)ḄqḄVAᦪ10x=2,12⚓ᐳ14⚓

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13•••DEuo☢DECo☢DEG1B$CCi.§ð•.•o☢DEC11B1BCC1îßèGE,CPuo☢஽BCGᙠo☢B/CCᑁòCP1JE,CP_Lo☢DEC1:41PCéeèCC1óo☢DEGᡠᡂnᙠRtgECqCC=AA=2,CE=1,Xt:.GE=V5,sinzPCiC=ô=õ=?••eèCC1óo☢DEGᡠᡂnḄ>1ூ᪆௃(I)ÞfDiCßDC1)·0,ᑣ஺஺iCq··ECDq·,R0E஻D÷,ᵫø&ÛÜeèBDi஻o☢GCE.(II)ùúLCE_L8C,CC1DE,RDE_Lo☢B/CQ,ᵫø&ÛÜo☢DEQJ.XB\BCCr(HI)ᙠo☢&BCC1ᑁòCP1GE,ûIJCPJ•o☢DEC௃/GPCéeèCC௃óo☢DEGᡠᡂnᵫø&LeèCGóo☢DEC1ᡠᡂnḄ>1.⚪ὃ#è☢oüஹ☢☢ᚖeḄÛÜὃ#è☢nḄ>1Ḅ;ὃ#¥¦qèèஹè☢ஹ☢☢¦Ḅþÿᐵ
Ạὃ᫏⚪.14⚓ᐳ14⚓