2024年普通高等学校全国统一模拟招生考试 高三10月联2024届陕西省九年级教学质量检测(◼包◇)数学.试卷答案,我们目前收集并整理关于2024年普通高等学校全国统一模拟招生考试 高三10月联2024届陕西省九年级教学质量检测(◼包◇)数学.得系列试题及其答案，更多试题答案请关注微信公众号：趣找答案/直接访问www.qzda.com(趣找答案)

2024年普通高等学校全国统一模拟招生考试 高三10月联2024届陕西省九年级教学质量检测(◼包◇)数学.试卷答案

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MyTeacherMr.MooreThere'sateacherMr.Moore.Whoislovelyandthirty-four.Alwaysencouragingustotry.Heleadsustoaworldof“why”.Wealladmirehimmoreandmore.Theauthorofthispoemisunknown,butitremindsmeofthecountlessteacherswhohavetaughtme.WheneverIreadthispoem,Icouldn'thelpthinkingofmymathteacher,Mrs.Davies.Ifirmlybelievethatshewassuchateacherdescribedinthepoem.Inhighschool,Mrs.Davieswasmymathteacher,whotookherjobseriouslyandexpec-tedherstudentstoputforththesamedegreeofcommitment.Thoughshewas30,shelookedveryyoungforherage.Andshewasoneofthemostpopularteachersinourschool.Comparedwithotherteachers,Mrs.Daviespaidmoreattentiontoherwayofteaching.Shetriedvariouswaystomakeherclasseslivelyandinteresting.Strictbutfair,sheheldourattentionwithhertime-provenapproach.Oneofherclasseswasforstudentswhoweremoreadvancedacademically.Ichosetotakeitandsoonrealizedthatthecoursewasabitovermyhead.Istruggledwiththecomplexproblemsthatothersseemedtolearnwithoutmucheffort.OneFridayweweretestedonourabilitytouseatheorem(thatnooneintheclassthoroughlyunderstood.Theteacherwouldgradeourpapersbasedonourabilitytoprogressthroughtheproblem.Iwasabsolutelylost.Finally,Ididn'tusetherequiredtheorem.Instead,Idecidedtousemorefamiliartheoremstoarriveattheanswer.IknewIhadfailedbecauseIhadn'tdonetherequiredassignment.Ibecameresignedtomyfate.注意：1.续写词数应为150左右；2.请按如下格式在答题卡的相应位置作答

OurtestpaperswerehandedbackthefollowingMonday.ThoughIdidn'tusetherequiredtheorem,Mrs.Daviesseemedgenuinelyproudofme.【高三英语第10页（共10页）】·23-93C·

分析设2x=sinθ，利用三角函数化简y=$\sqrt{2}$（|sin（$\frac{θ}{2}$+$\frac{π}{4}$）|+|cos（$\frac{θ}{2}$+$\frac{π}{4}$）|），从而求值域．

解答解：设2x=sinθ，
则$y=\sqrt{1+2x}+\sqrt{1-2x}$=$\sqrt{1+sinθ}$+$\sqrt{1-sinθ}$
=|sin$\frac{θ}{2}$+cos$\frac{θ}{2}$|+|sin$\frac{θ}{2}$-cos$\frac{θ}{2}$|
=$\sqrt{2}$|sin（$\frac{θ}{2}$+$\frac{π}{4}$）|+$\sqrt{2}$|sin（$\frac{θ}{2}$-$\frac{π}{4}$）|
=$\sqrt{2}$（|sin（$\frac{θ}{2}$+$\frac{π}{4}$）|+|cos（$\frac{θ}{2}$+$\frac{π}{4}$）|）
∵1≤|sin（$\frac{θ}{2}$+$\frac{π}{4}$）|+|cos（$\frac{θ}{2}$+$\frac{π}{4}$）|≤$\sqrt{2}$，
∴$\sqrt{2}$≤$\sqrt{2}$（|sin（$\frac{θ}{2}$+$\frac{π}{4}$）|+|cos（$\frac{θ}{2}$+$\frac{π}{4}$）|）≤2，
故选C．

点评本题考查了三角函数的化简与值域的求法，关键在于换元．

2024年普通高等学校全国统一模拟招生考试 高三10月联2024届陕西省九年级教学质量检测(◼包◇)数学.