山西省2023-2024学年度上学期期中七年级学期调研测试试题数学考试卷

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山西省2023-2024学年度上学期期中七年级学期调研测试试题数学考试卷试卷答案

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E.Trytotestyourselfinthewaytheteacherasksquestions.F.Soyouwillhavetomanageyourtimeandstudymoreonyourown.G.Ifyouwanttobeabletorememberinformation,thebestthingyoucandoispractice.第三部分语言运用（共两节，满分30分）第一节（共15小题；每小题1分，满分15分）》阅读下面短文，从每题所给的A、B、C、D四个选项中选出可以填入空白处的最佳选项

Thesunwasshiningbrightlyoverourheadsandsweat(7K)waspouringoffourbacksandfaces.Westoodstillwithoutmakinganynoise,allhotand41Buteveryonekeptstandingasstraightastrees.Itwas42mosthighschoolsgivetonewSeniorOnestudents-militarytrainingi).Wespentfourdaysinaclosedenvironment.Althoughwecouldn'tgohomeatnight43thetrainingwasstrictand44ourhumorousyoungdrillmaster(withafunnyaccent(wasareal45ofourdays.Welaughedathisjokes,satinrowssingingdifferentsongsandlistenedtohim46truestoriesabouthislife.Hegaveusthefeelingthat47andsweatwerenottheonlythingsthatwereceivedfrommilitarytraining.Afterthistraining,wewere48thanwehadimaginedandweweremuchbraverthanwehadexpected.Girlswholookedpalerested49alittlewhile,thencamebacktotheteam.Boyswhowerebeingpunished50totheplaygroundatonceandbegantorun.Sweatfloweddownourfaces51whenweshoutedlouderthanother52.Militarytrainingtaughtusperseverance(坚持不懈)anddetermination.Onthelastdayofourtraining,the53couldbeseeninourfaces.Weshoutedsoloudthatourvoicescouldbe54_acrosstheheavens(天空).Witheyeslikeburningtorches(（火炬)，wewere55_abetterfuture.Nowthesunissmilingatallofus.41.A.tiredB.excitedC.advancedD.relaxed42.A.nothingB.anythingC.everythingD.something43.A.butB.orC.soD.and44.A.awkwardB.challengingC.powerfulD.confused45.A.solutionB.impressionC.pleasureD.adventure46.A.speakingB.sayingC.tellingD.talking47.A.healthB.campusC.survivalD.sunlight48.A.strongerB.happierC.sadderD.younger49.A.forB.ofC.withD.in50.A.walkedB.rushedC.rodeD.hiked51.A.formallyB.anxiouslyC.heavilyD.narrowly52.A.volunteersB.soldiersC.strangersD.classes53.A.confidenceB.behaviorsC.personalitiesD.details54.A.seenB.smeltC.heardD.touched六校联考高一期中考试英语试题第8页（共10页）

分析线段AB的中垂线所在直线与直线x-2y-3=0的交点即为圆C的圆心，再求出半径CA的值，即可求得圆的标准方程．

解答解：由已知，线段AB的中垂线所在直线与直线x-2y-3=0的交点即为圆C的圆心．
线段AB的斜率为：K_AB=$\frac{-3+5}{2-（-2）}$=$\frac{1}{2}$，∴线段AB的中垂线所在直线的斜率为-$\frac{1}{{K}_{AB}}$=-2，
又∵线段AB的中点为（0，-4），∴线段AB的中垂线所在直线方程为：y+4=-2x，即2x+y+4=0．
由$\left\{\begin{array}{l}{x-2y-3=0}\\{2x+y+4=0}\end{array}\right.$，求得$\left\{\begin{array}{l}{x=-1}\\{y=-2}\end{array}\right.$，∴圆C的圆心坐标为（-1，-2）
∴圆C的半径r满足：r²=（2+1）²+（-3+2）²=10，
∴圆C的标准方程为（x+1）²+（y+2）²=10．

点评本题主要考查求圆的标准方程，直线的斜率公式，两条直线垂直的性质，求出圆心坐标及半径，是解题的关键，属于基础题．