2024届炎德英才大联考雅礼中学高三月考六数学.考卷答案试卷答案,我们目前收集并整理关于2024届炎德英才大联考雅礼中学高三月考六数学.考卷答案得系列试题及其答案，更多试题答案请关注微信公众号：考不凡/直接访问www.kaobufan.com(考不凡)
2024届炎德英才大联考雅礼中学高三月考六数学.考卷答案试卷答案
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高三英语参考答案、提示及评分细则听力部分录音稿(Text1)M:Whatafineday!Theskyhasneverbeensoclearsincewewentonahikelasttime.W:Yes,indeed.Youcanseeformilesouthereaftertheserainydays.(Text2)W:Howmuchwillyouchargetodrivemetotheairport?M:Thefareis$30,plusthetip,madam.Doyouhaveanyluggage?W:Justthiscarry-on.(Text3)W:Excuseme,sir.Doyouneedanyhelpfindingabook?M:No,actually.IhavecheckedoutmybooksIneed.I'mjustlookingforacomputertosearchforsomeinformation.(Text4)M:Yourclotheswillbereadyforcollectionon...let'ssee.It's11thApriltoday.So,yes,on14thApril.W:Thefourteenth?Sothat'snextTuesday?M:Yes.We'llgiveyouaringonMondaytoremindyou.(Text5)M:Areyoureadyfortomorrow'spresentation,Julie?W:Ihopeso,Alex.M:Well,takeiteasy.Youcanmakeit.Justtrynottothinkabouttheaudienceeyeingyou.W:You'renothelping,Alex.(Text6)M:Tessa,I'mterriblysorry.Iwon'tbeabletokeepourappointmenttovisittheartgalleryonSunday.W:Why?Don'tyouwanttoseethePicassoexhibition?M:It'sagreatpity,butIfeelIhaven'tpreparedwellenoughformyfinalexams.IfIfailthisfirstterm,Iwillfailthecourse.W:Hmm,well,thenIwon'tgothere,either.Iwillgotothecinemawithmysister.Shejustaskedmetoseeafilmorgotothezootoseethepandawithher.ButIhopewewon'tmissanotherchancelikethis.(Text7)M:PricelineTravelAgency.MayIhelpyou?W:Yes,myhusbandandIareplanningavacationtoanisland.Doyouhaveanyrecommendations?M:Certainly.Offthetopofmyhead,I'dsuggesttheislandofBali.W:WhyBali?M:Whenitrainsalotinmostplacesnow,itisthedryseasoninBali.Alsothereareawidevarietyofexcellentrestaurantsandhotelstochoosefrom.Plus,Baliisknownforsurfinganddiving.AndImustsayshoppingthereisabsolutelygreat!W:Thatsoundsamazing!MaxlovestodiveandIlovetoshopandeat.Thenhowmuchwillitcost?M:Well,itmaytakemeadayortwotogetaccurateprices,butIwillcallyouassoonasIcan.W:Thankyou.Willwehavetopayforitrightnow?M:I'llneedyourcreditcardnumbertomakeareservation,andyouwon'tactuallyhavetopayforituntilyougetthere.(Text8)W:First,weshouldincludetheticketprice.It's$15foradults.M:OK,I'llwritetheminthebottomleft-handcorneroftheticket.Alright,howaboutthechildren?W:It'scheaper.$5cheaper.Infact,ticketsfortheelderlycostthesameasthechildren's.M:OK,I'llwritetheminthebottomright-handcorner.W:Right.Plus,weneedaticketnumberbecausewe'llhavealuckydrawintheend.Sodon'tforgettoputtheticketnumberinthetopright-handcorner.Oh,holdon,thetopleft-handcornerisbetter.Hm...whatelseshouldwehaveontheticket?【高三11月质量检测·英语参考答案第1页（共4页）】新高考G
分析（1）利用余弦定理即可得出c，进而得出面积；
（2）利用正弦定理可得：sinA．利用同角三角函数基本关系式即可得出cosA，再利用倍角公式即可得出．
解答解：（1）由余弦定理，c2=a2+b2-2abcos60°=22+32-2×2×3×$\frac{1}{2}$=7，
解得c=$\sqrt{7}$，
∴$S=\frac{1}{2}absinC=\frac{{3\sqrt{3}}}{2}$．
（2）由正弦定理，$\frac{c}{sinC}=\frac{a}{sinA}$，
则sinA=$\frac{asinC}{c}$=$\frac{2×\frac{\sqrt{3}}{2}}{\sqrt{7}}$=$\frac{\sqrt{3}}{\sqrt{7}}$，
∵a＜b，∴A为锐角，
则cosA=$\sqrt{1-si{n}^{2}A}$=$\frac{\sqrt{4}}{\sqrt{7}}$，
sin2A=2sinAcosA=$2×\frac{\sqrt{4}}{\sqrt{7}}$×$\frac{\sqrt{3}}{\sqrt{7}}$=$\frac{4\sqrt{3}}{7}$．
点评本题考查了余弦定理、正弦定理、同角三角函数基本关系式、倍角公式、三角形面积计算公式，考查了推理能力与计算能力，属于中档题．
