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2024届厚德诚品高考冲刺试卷(五)5数学h试卷答案
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1.WhatcanstudentsdointheWatercolorAcademy?A.Givealectureonpainting.B.Presenttheirowngoodworks.C.Setupauniqueartcommunity.D.Learntogiveprofessionalopinions.2.What'sthepurposeoftheWatercolorPaintingCourses?A.Tomakestudentsmorelively.B.Toshowwatercolorpaintingisfun.C.Tomakestudentsprofessionalartists.D.Tomakewatercolorpaintingeasyforitsstudents.3.Whatisspecialabouttheprivateclass?A.Itcanlastformanyhours.B.Theclassisgivenbyfamousartists.C.Thestudentscanscheduletheirclasstime.D.Itrequiresstudentstoworkwell.BMacaireEverett,14,andher9-year-oldbrother,Camden,discoveredauniquewaytoentertainthemselves.Whenboredathome,theybegantodrawimpressive,colorfulandimaginarychalkartintheirneighborhood.Aftertheycompletedeachchalkartmural()Camdenwouldlieonthegroundtobecomepartofeachadventuresceneforphotos.Theirdrawingssoongrewintomassivemuralsthatattractedcrowdsofneighborhoodonlookers.Neighborswouldenthusiasticallygathertoviewandtakepicturesofeachnewimaginarydesign.Theirimaginativeartcollaboration(tooktheirmindsoffworldtroublesandtrans-portedthemtoanexciting,imaginaryworld.Thegreatadventureswerebroughttolifethroughtheirchalkdrawings,includingCamdendancinginpuddles,zip-liningandfloatingawaywithabunchofballoons.TheincredibledrawingsalsohadCamdentravelingtotheGreatWallofChinaandTimesSquare.Macaireenjoyedcollaboratingwithherbrothersomuchonthecreativeprojectthatshecontinueditfor100days."MybrotherandItalkaboutideasalotduringdinner.Helikesto'travel'soit'sfuntotakehimtoplaces,"Macaireexplained.Oncetheyagreeonadesign,theprocesstakesMacairetwotofourhoursforsmallerdrawingsanduptosixhoursforlargermurals.Theyreceivedsuchapositiveresponsefromtheircreativeartworkthattheysharedtheir【高二英语第2页（共8页）】·23-51B·
分析由三角形的三个顶点的坐标分别求出三边长，再由勾股定理的逆定理能得到这个三角形是直角三角形．
解答解：∵|AB|2=（3+1）2+（1-2）2=17，|AC|2=（2+1）2+（-3-2）2=34，|BC|2=（2-3）2+（-3-1）2=17，
∴17+17=34，
∴|AB|2+|BC|2=|AC|2，
∴△ABC是直角三角形．
点评本题考查三角形形状的判断，是基础题，解题时要认真审题，注意两点间距离公式和勾股定理的逆定理的合理运用．
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