许昌市2023-2024学年第一学期期末教学质量检测(高一)数学.考卷答案

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许昌市2023-2024学年第一学期期末教学质量检测(高一)数学.考卷答案试卷答案

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2.Whatcanweknowfromthethirdparagraph?A.TakamizawagotstrongsupportfromherfamilyB.Takamizawa'sgrandchildrenlovedheralot.C.NatsukowasTakamizawa'sgranddaughterandonlyEnglishteacher.D.NatsukotaughtTakamizawaEnglishmainlybytalkingwithher.3.Whatdoestheunderlinedphrase"Thissituation"inparagraph4referto?A.EnglishisnotthefirstlanguageinJapan.B.ThelevelofEnglishspokeninJapanisrelativelylow.C.YoungergenerationsinJapanwelcomeEnglish.D.Japanesepeoplebecomeopentotherestoftheworld.4.Whatisthemainideaofthepassage?A.Wherethereisawill,thereisaway.B.Itisnevertoolatetolearn.C.Theearlybirdcatchestheworm.D.Twoheadsarebetterthanone.【语篇导读】本文是一篇记叙文

文章主要介绍了日本91岁的奶奶Takamizawa为了做好2020东京奥运会的志愿工作,在孙辈的鼓励和帮助下学习英语的励志故事

l.C细节理解题

根据第二段ButTakamizawahadnotbeenabletolearnthelanguage..Englishwasbannedbecauseitwastheenemy'slanguage.可知,Takamizawa年轻时没能学英语是因为在第二次世界大战期间,英语因为是敌人的语言而被禁止学习

2.A推理判断题

根据第三段Takamizawasaidhergrandchildrenhelpedpersuadeher..Wewillteachyouonewordaday.可知,她的孙辈说服并且帮助她学习英语,因此推断她从家人那里得到了很大的支持

3.B词义猜测题

根据第四段Japanranks49thamongcountrieswhereEnglishisnotthefirstlanguage.可知,“Thissituation'”指的是日本的英语口语水平相对较低

4.B主旨大意题

通读全文可知,本文主要介绍了日本91岁的奶奶Takamizawa为了准备东京奥运会的志愿工作,在孙辈的鼓励和帮助下学习英语,她的故事体现了“活到老,学到老”的精神,这也是本文的主旨

BTheUSgovernmenthascomeoutwithnewadviceforAmericansabouthowmuchexercisetheyshouldgeteachweek.In2011,theUSgovernmentcameoutwithitsfirstsetofexerciseadvice,calledPhysicalActivityGuidelinesforAmericans.Theguidelineswerebasedonresearchbyscientistsintohowpeoplecouldstayhealthybybeingactive.Since2011,scientistshavelearnedmoreabouthowhelpfulexerciseis.Forexample,they'velearnedthatbeingactivecanmakeitmuchlesslikelythatsomeonewillsufferfromillnesses.Exercisealsomakespeopleworryless,sleepbetter,andmakestheirbrainsworkbetter.So,now,tenyearslater,afterthegovernmenthasstudiedthefindings,they'vecomeupwithanewsetofguidelines.Muchoftheadviceisthesameasitwasin2011,butthereareafewchanges.Onechangeisthatthegovernmenthasaddedactivityguidelinesforchildrenaged3to5.Thiswasnotincludedin2011,becauseyoungerchildrenwereusuallyveryactivethen.Butnow,asyoungchildrenspendmoretimelookingatscreens,theyaremovingless.Thegovernmentsaysthatchildrenbetween3and5shouldhaveatleastthreehoursofactiveplayaday.Forchildrenaged6to17,theguidelineshavenotchangedmuchsince2011.Thegovernmentsaystheyshouldgetatleastanhourofmediumtoveryactivemovementeveryday.Mostoftheseactivitiesshouldbestrongenoughtoraisetheheartrate.Childrenshouldalsodoactivitiesthatbuildmusclesatleastthreetimesaweek.In2011,thegovernmentsaidthatadultsshouldgetatleast150to300minutesofmediumstrengthactivityeveryweek.Butonly20%ofAmericansactuallymovethatmuch.Nowbasedonnewscientificfindings,thegovernmentsaysthatevenshortperiodsofmovementthatraisetheheartratearehelpful.Thegovernmentisstartingaprogramcalled"MoveYourWay",whichithopeswillhelpencourageAmericanstogethealthierbymeetingthesemovementgoals.5

分析(1)根据正弦定理得出asinB=bsinA,从而求出sinA;
(2)先根据余弦定理求出边长a,再用中线长公式得出AD的长.

解答解:(1)根据正弦定理得,$\frac{a}{sinA}=\frac{b}{sinB}$,
所以,asinB=bsinA=2$\sqrt{3}$,
因为,b=4,所以,sinA=$\frac{\sqrt{3}}{2}$,
且三角形为锐角三角形,
所以,A=$\frac{π}{3}$;
(2)由(1)得,cosA=$\frac{1}{2}$,
根据余弦定理,a2=b2+c2-2bccosA,
所以,a2=42+62-2×4×6×$\frac{1}{2}$=28,
解得a=2$\sqrt{7}$,
因为D为BC的中点,则AD为BC边的中线,
因此,根据三角形中线长公式:
|AD|=ma=$\frac{1}{2}$$\sqrt{2(b^2+c^2)-a^2}$=$\sqrt{19}$,
即线段AD的长度为$\sqrt{19}$.

点评本题主要考查了运用正弦定理和余弦定理解三角形,涉及三角形中线长的计算,属于中档题.