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△ABC中,三边之比a:b:c=2:3:4,则最大角的余弦值等于().
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在△ABC中①若B=60°a=10b=7则该三角形有且仅有两解②若三角形的三边的比是357则此三角形
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已知△ABC的三边长成公比为的等比数列则其最大角的余弦值为.
在△ABC中若a=10b=24c=26则最大角的余弦值是.
在△ABC中①若B.=60°a=10b=7则该三角形有且有两解②若三角形的三边的比是357则此三角形
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中三边之比则最大角的余弦值等于]
已知△ABC的三边长成公比为的等比数列则其最大角的余弦值为________.
在△ABC中如果sinAsinBsinC=568那么此三角形最大角的余弦值是.
5.00分已知△ABC得三边长成公比为的等比数列则其最大角的余弦值为.
在△ABC中若已知三边为连续正整数最大角为钝角.1求最大角的余弦值2求以此最大角为内角夹此角的两边之
若一个三角形的三边是连续的正整数且最大角是最小角的2倍则这个三角形最大角的余弦值为.
在 △ A B C 中三边的长为连续的自然数且最大角为钝角这个三角形三边的长分别为_________
在△ABC中三边长分别为其最大角的余弦值为△ABC的面积为.
若三角形三边长之比为1∶∶2则这个三角形中的最大角的度数是
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2016年·白山三模已知abc是△ABC的三边且b2﹣2a﹣b﹣2c=02a+b﹣2c+1=0则△
已知abc是△ABC的三边且b2﹣2a﹣b﹣2c=02a+b﹣2c+1=0则△ABC的最大角的余弦
已知△ABC的三边长成公比为的等比数列则其最大角的余弦值为________.
在△ABC中三边分别为AB=3BC=4AC=6则△ABC三边依次对应高的比为____________
已知△ABC得三边长成公比为的等比数列则其最大角的余弦值为.
在 △ A B C 中若已知三边为连续正整数最大角为钝角.1求最大角的余弦值2求以此最大角为内角夹此
△ABC中三边之比abc=234则最大角的余弦值等于.
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Aroundtheworldmoreandmorepeoplearetakingpartindangeroussportsandactivities.Ofcoursetherehavealwaysbeenpeoplewhohavelookedforadventures—thosewhohaveclimbedthehighestmountainstraveledintounknownpartsoftheworldorsailedinsmallboatsacrossthegreatestoceans.Nowhowevertherearepeoplewholookforanimmediateexcitementfromariskyactivitywhichmayonlylastafewminutesorevenseconds. Iwouldconsiderbungeejumpingtobeagoodexampleofsuchanactivity.Youjumpfromahighplaceperhapsabridgeorahot-airballoon200metersabovethegroundwithanelasticropetiedtoyourankles.Youfallatupto150kilometersanhouruntiltheropestopsyoufromhittingtheground.Itissaidthatabout2millionpeoplearoundtheworldhavenowtriedbungeejumping.Otheractivitieswhichmostpeoplewouldsayareasriskyasbungeejumpingincludejumpingfromtallbuildinganddivingintotheseafromthetopofhighcliff. WhydopeopletakepartinsuchactivitiesastheseSomepsychologistssuggestthatitisbecauselifeinmodemsocietieshasbecomesafeandboring.Notverylongagodiseasescouldnoteasilybecuredandlifewasacontinuousbattleforsurvival. Nowadaysaccordingtomanypeoplelifeofferslittleexcitement.Theyliveandworkincomparativelysafeconditions;theybuyfoodinshops;andtherearedoctorsandhospitalstolookafterthemiftheybecomeill.Theanswerforsomeofthesepeopleistolookfordangerinactivitiessuchasbungeejumping. Peopleprobablytakepartindangeroussportsnowadaysbecause.
WheneverthesundroppedandtheblueskycameupmyfatherandIusedtoclimbthemountainnearmyhouse.WalkingtogethermyfatherandIusedtohavealotofconversationsthroughwhichIlearnedlessonsfromhisexperiences.Healwaystoldme"Youshouldhavegoalslikeclimbingthemountain."Withoutthemountain-climbingthatwebothenjoyedwecouldn’thaveenoughtimetospendtogetherbecausemyfatherwasverybusy.Ireallygotalotfrommountain-climbing.Itgavemetimetotalkwithmyfatherandtobeindeepthoughtaswellasdevelopmypatience耐力. Onceweclimbedaveryhighmountain.ItwassochallengingformebecauseIwasonlytenyearsold.DuringthefirstfewhoursofclimbingIenjoyedtheflowersandtreesandthebirds’singingbutastimepassedIgotapaininbothofmylegs.Iwantedtoquitclimbing.InfactIhateditatthatmomentbutmyfathersaidtome"Youcanalwaysseeabeautifulskyatthetopofthemountainbutyoucan’tseeitbeforeyoureachthetop.Onlythereatthetopcanyouseeallofthenicethingsjustlikeinlife." AtthattimeIwastooyoungtounderstandhiswords.Butlaterafterthat!gotnewhopeandconfidence信心.Ifoundmyselfstandingatthetopoftheskywhichwasasclearascrystal水晶. Whichofthefollowingissimilarinmeaningtothefather’swordsinthesecondparagraph.
Aroundtheworldmoreandmorepeoplearetakingpartindangeroussportsandactivities.Ofcoursetherehavealwaysbeenpeoplewhohavelookedforadventures—thosewhohaveclimbedthehighestmountainstraveledintounknownpartsoftheworldorsailedinsmallboatsacrossthegreatestoceans.Nowhowevertherearepeoplewholookforanimmediateexcitementfromariskyactivitywhichmayonlylastafewminutesorevenseconds. Iwouldconsiderbungeejumpingtobeagoodexampleofsuchanactivity.Youjumpfromahighplaceperhapsabridgeorahot-airballoon200metersabovethegroundwithanelasticropetiedtoyourankles.Youfallatupto150kilometersanhouruntiltheropestopsyoufromhittingtheground.Itissaidthatabout2millionpeoplearoundtheworldhavenowtriedbungeejumping.Otheractivitieswhichmostpeoplewouldsayareasriskyasbungeejumpingincludejumpingfromtallbuildinganddivingintotheseafromthetopofhighcliff. WhydopeopletakepartinsuchactivitiesastheseSomepsychologistssuggestthatitisbecauselifeinmodemsocietieshasbecomesafeandboring.Notverylongagodiseasescouldnoteasilybecuredandlifewasacontinuousbattleforsurvival. Nowadaysaccordingtomanypeoplelifeofferslittleexcitement.Theyliveandworkincomparativelysafeconditions;theybuyfoodinshops;andtherearedoctorsandhospitalstolookafterthemiftheybecomeill.Theanswerforsomeofthesepeopleistolookfordangerinactivitiessuchasbungeejumping. Moreandmorepeopletoday.
Livinginaforeignculturecanbeexcitingbutitcanalsobeconfusing令人迷惑的.AgroupofAmericanswhotaughtEnglishinothercountriesrecentlydiscussedtheirexperiences.Theydecidedthatmiscommunicationswerealwayspossibleevenoversomethingassimpleas"yes"and"no". OnherfirstdayinMicronesiaanislandinthePacificLisathoughtpeopleweren’tpayinganyattentiontoher.Thedaywashot.Shewentintoastoreandasked"Doyouhavecolddrinks"Thewomantheredidn’tsayanything.Lisarepeatedthequestion.Stillthewomansaidnothing.Shelaterlearnedthatthewomanhadansweredher:Shehadraisedhereyebrows眉毛whichinMicronesiameans"yes". JanrememberedanexperienceshehadinBulgariaacountryinEurope.Shewenttoarestaurantthatwasknownforitscabbage.Sheaskedthewaiter"Doyouhavecabbagetoday"Henoddedhishead.Janwaitedbutthecabbagenevercame.Inthatcountryanodmeansno. TomhadasimilarproblemwhenhearrivedinIndia.Afterexplainingsomethinginclassheaskedhisstudentsiftheyunderstood.Theyansweredwithmanydifferentnodsandshakesofthehead.Hethoughtsomepeoplehadnotunderstoodsoheexplainedagain.Whenheaskedagaintheydidthesamething.Hesoonfoundoutthathisstudentsdidunderstand.InIndiapeoplenodandshaketheirheadsindifferentwaysdependingonwheretheycomefrom.Youhavetoknowwhereapersonisfromtounderstandwhethertheymean"yes"or"no". PeopleinMicronesiashowyesby.
athardchangeupbeforewinhappendownchoosepractisecomepartLifeisnoteasysoI’dliketosayWhenanything46believeinyourself!WhenIwasayoungboyIwastooshytospeaktoanyone.Myclassmatesoftenlaughed47me.Iwassadbutcoulddonothing.Latersomethinghappenedandit48mylife.ItwasanEnglishspeechcontest.Mymotheraskedmetotake49init.Whataterribleidea!ItmeantIhadtospeak50alltheteachersandstudentsofmyschool!Comeonboy.Believeinyourself!Youaresureto51ThenmotherandItalkedaboutmanydifferenttopics.AtlastI52thetopicBelieveinyourself.Itriedmybesttorememberallthespeechand53itover100times.Withmymother’sgreatloveIdidwellinthecontest.Icould54believemyearswhenthenewscamethatIhadwonthefirstplace.Iheardthecheersfromtheteachersandstudents.Thoseclassmateswhooncelooked55onmeallsaidcongratulationstome.
WheneverthesundroppedandtheblueskycameupmyfatherandIusedtoclimbthemountainnearmyhouse.WalkingtogethermyfatherandIusedtohavealotofconversationsthroughwhichIlearnedlessonsfromhisexperiences.Healwaystoldme"Youshouldhavegoalslikeclimbingthemountain."Withoutthemountain-climbingthatwebothenjoyedwecouldn’thaveenoughtimetospendtogetherbecausemyfatherwasverybusy.Ireallygotalotfrommountain-climbing.Itgavemetimetotalkwithmyfatherandtobeindeepthoughtaswellasdevelopmypatience耐力. Onceweclimbedaveryhighmountain.ItwassochallengingformebecauseIwasonlytenyearsold.DuringthefirstfewhoursofclimbingIenjoyedtheflowersandtreesandthebirds’singingbutastimepassedIgotapaininbothofmylegs.Iwantedtoquitclimbing.InfactIhateditatthatmomentbutmyfathersaidtome"Youcanalwaysseeabeautifulskyatthetopofthemountainbutyoucan’tseeitbeforeyoureachthetop.Onlythereatthetopcanyouseeallofthenicethingsjustlikeinlife." AtthattimeIwastooyoungtounderstandhiswords.Butlaterafterthat!gotnewhopeandconfidence信心.Ifoundmyselfstandingatthetopoftheskywhichwasasclearascrystal水晶. Thepassagetellsusthatmountain-climbingwasforfatherandson.
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Myparentstaughtmenottowastefood.Mymomalwaysfoundwaystomakeleftoverstastegood.IwenttoIlantolearnaboutsomeoftheirspecialfood.AsIwasthereIlearnedaboutthefoodandthehistoryofthearea.Ilearnedthattheydon’twastefoodeitherandtheyuseleftovers! Manyyearsagotherewasnotenoughfoodforeveryone.Peoplelearnedtocookandeatalmosteverything.Theyhadtothinkofwaystomakespecialdishes.Oneofthesedishesiskaozha.It’smadewithleftoverslikemeat;soupoilandfat.Thatmightnotsoundverygoodbutitdoestastegood.Todaykaozhaisaspecialdishatbigbanquets. Anotherfamousdishiscalledzaobing.It’smadewithfruitmeatandotherthings.Ireallylikedit!ButIdidn’twanttoeattoomuch.Ithasalotoffatinit. IsmelledsomethingburningandIsawsmokesoIfoundanotherspecialfoodoftheIlanarea—duckmeat.Theduckmeatisputinabigoventocookit.Smokekeepsthemeatfresh.Idon’tusuallyeatmeatbutthisduckmeatwasdelicious!Ittastedsweet. Ilanisagreatplacewithdeliciousfood.IhopeIcancomebackagain! Fromthepassageweknowthat.
Livinginaforeignculturecanbeexcitingbutitcanalsobeconfusing令人迷惑的.AgroupofAmericanswhotaughtEnglishinothercountriesrecentlydiscussedtheirexperiences.Theydecidedthatmiscommunicationswerealwayspossibleevenoversomethingassimpleas"yes"and"no". OnherfirstdayinMicronesiaanislandinthePacificLisathoughtpeopleweren’tpayinganyattentiontoher.Thedaywashot.Shewentintoastoreandasked"Doyouhavecolddrinks"Thewomantheredidn’tsayanything.Lisarepeatedthequestion.Stillthewomansaidnothing.Shelaterlearnedthatthewomanhadansweredher:Shehadraisedhereyebrows眉毛whichinMicronesiameans"yes". JanrememberedanexperienceshehadinBulgariaacountryinEurope.Shewenttoarestaurantthatwasknownforitscabbage.Sheaskedthewaiter"Doyouhavecabbagetoday"Henoddedhishead.Janwaitedbutthecabbagenevercame.Inthatcountryanodmeansno. TomhadasimilarproblemwhenhearrivedinIndia.Afterexplainingsomethinginclassheaskedhisstudentsiftheyunderstood.Theyansweredwithmanydifferentnodsandshakesofthehead.Hethoughtsomepeoplehadnotunderstoodsoheexplainedagain.Whenheaskedagaintheydidthesamething.Hesoonfoundoutthathisstudentsdidunderstand.InIndiapeoplenodandshaketheirheadsindifferentwaysdependingonwheretheycomefrom.Youhavetoknowwhereapersonisfromtounderstandwhethertheymean"yes"or"no". WhichofthefollowingisTRUEaccordingto根据thispassage.
TheJapaneseMacacamonkeyhasbeenstudiedinthewildforover50years.In1952ononesmallJapaneseislandscientistsdroppedsome16inthedirtforthemonkeys.Themonkeyslikedtheirtastebuttheyfoundthedirt17. Oneclever18-month-oldmonkeyfoundshecould18theproblembywashingthesweetpotatoesinanearbyriver.Shetaughtthistohermother.Her19alsolearnedthisnewwayandtheytaughttheirmotherstoo. Alltheyoungermonkeys20learnedtowashthedirtysweetpotatoestomakethem21toeat.Butmanyoldmonkeysfounditveryhardtolearnthisandstillatethe22sweetpotatoes. Thensomethingverystrange23.Intheautumnof1958scientistsfoundthatthemonkeysonothernearby24beganwashingtheirsweetpotatoestoo.Scientistsstilldon’tfullyunderstandhowthisknowledgewas25fromoneislandtoanother. 20.
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athardchangeupbeforewinhappendownchoosepractisecomepartLifeisnoteasysoI’dliketosayWhenanything46believeinyourself!WhenIwasayoungboyIwastooshytospeaktoanyone.Myclassmatesoftenlaughed47me.Iwassadbutcoulddonothing.Latersomethinghappenedandit48mylife.ItwasanEnglishspeechcontest.Mymotheraskedmetotake49init.Whataterribleidea!ItmeantIhadtospeak50alltheteachersandstudentsofmyschool!Comeonboy.Believeinyourself!Youaresureto51ThenmotherandItalkedaboutmanydifferenttopics.AtlastI52thetopicBelieveinyourself.Itriedmybesttorememberallthespeechand53itover100times.Withmymother’sgreatloveIdidwellinthecontest.Icould54believemyearswhenthenewscamethatIhadwonthefirstplace.Iheardthecheersfromtheteachersandstudents.Thoseclassmateswhooncelooked55onmeallsaidcongratulationstome.
TheJapaneseMacacamonkeyhasbeenstudiedinthewildforover50years.In1952ononesmallJapaneseislandscientistsdroppedsome16inthedirtforthemonkeys.Themonkeyslikedtheirtastebuttheyfoundthedirt17. Oneclever18-month-oldmonkeyfoundshecould18theproblembywashingthesweetpotatoesinanearbyriver.Shetaughtthistohermother.Her19alsolearnedthisnewwayandtheytaughttheirmotherstoo. Alltheyoungermonkeys20learnedtowashthedirtysweetpotatoestomakethem21toeat.Butmanyoldmonkeysfounditveryhardtolearnthisandstillatethe22sweetpotatoes. Thensomethingverystrange23.Intheautumnof1958scientistsfoundthatthemonkeysonothernearby24beganwashingtheirsweetpotatoestoo.Scientistsstilldon’tfullyunderstandhowthisknowledgewas25fromoneislandtoanother. 24.
TheJapaneseMacacamonkeyhasbeenstudiedinthewildforover50years.In1952ononesmallJapaneseislandscientistsdroppedsome16inthedirtforthemonkeys.Themonkeyslikedtheirtastebuttheyfoundthedirt17. Oneclever18-month-oldmonkeyfoundshecould18theproblembywashingthesweetpotatoesinanearbyriver.Shetaughtthistohermother.Her19alsolearnedthisnewwayandtheytaughttheirmotherstoo. Alltheyoungermonkeys20learnedtowashthedirtysweetpotatoestomakethem21toeat.Butmanyoldmonkeysfounditveryhardtolearnthisandstillatethe22sweetpotatoes. Thensomethingverystrange23.Intheautumnof1958scientistsfoundthatthemonkeysonothernearby24beganwashingtheirsweetpotatoestoo.Scientistsstilldon’tfullyunderstandhowthisknowledgewas25fromoneislandtoanother. 22.
athardchangeupbeforewinhappendownchoosepractisecomepartLifeisnoteasysoI’dliketosayWhenanything46believeinyourself!WhenIwasayoungboyIwastooshytospeaktoanyone.Myclassmatesoftenlaughed47me.Iwassadbutcoulddonothing.Latersomethinghappenedandit48mylife.ItwasanEnglishspeechcontest.Mymotheraskedmetotake49init.Whataterribleidea!ItmeantIhadtospeak50alltheteachersandstudentsofmyschool!Comeonboy.Believeinyourself!Youaresureto51ThenmotherandItalkedaboutmanydifferenttopics.AtlastI52thetopicBelieveinyourself.Itriedmybesttorememberallthespeechand53itover100times.Withmymother’sgreatloveIdidwellinthecontest.Icould54believemyearswhenthenewscamethatIhadwonthefirstplace.Iheardthecheersfromtheteachersandstudents.Thoseclassmateswhooncelooked55onmeallsaidcongratulationstome.
Myparentstaughtmenottowastefood.Mymomalwaysfoundwaystomakeleftoverstastegood.IwenttoIlantolearnaboutsomeoftheirspecialfood.AsIwasthereIlearnedaboutthefoodandthehistoryofthearea.Ilearnedthattheydon’twastefoodeitherandtheyuseleftovers! Manyyearsagotherewasnotenoughfoodforeveryone.Peoplelearnedtocookandeatalmosteverything.Theyhadtothinkofwaystomakespecialdishes.Oneofthesedishesiskaozha.It’smadewithleftoverslikemeat;soupoilandfat.Thatmightnotsoundverygoodbutitdoestastegood.Todaykaozhaisaspecialdishatbigbanquets. Anotherfamousdishiscalledzaobing.It’smadewithfruitmeatandotherthings.Ireallylikedit!ButIdidn’twanttoeattoomuch.Ithasalotoffatinit. IsmelledsomethingburningandIsawsmokesoIfoundanotherspecialfoodoftheIlanarea—duckmeat.Theduckmeatisputinabigoventocookit.Smokekeepsthemeatfresh.Idon’tusuallyeatmeatbutthisduckmeatwasdelicious!Ittastedsweet. Ilanisagreatplacewithdeliciousfood.IhopeIcancomebackagain! Kaozhaisagooddishthatismadewith.
WheneverthesundroppedandtheblueskycameupmyfatherandIusedtoclimbthemountainnearmyhouse.WalkingtogethermyfatherandIusedtohavealotofconversationsthroughwhichIlearnedlessonsfromhisexperiences.Healwaystoldme"Youshouldhavegoalslikeclimbingthemountain."Withoutthemountain-climbingthatwebothenjoyedwecouldn’thaveenoughtimetospendtogetherbecausemyfatherwasverybusy.Ireallygotalotfrommountain-climbing.Itgavemetimetotalkwithmyfatherandtobeindeepthoughtaswellasdevelopmypatience耐力. Onceweclimbedaveryhighmountain.ItwassochallengingformebecauseIwasonlytenyearsold.DuringthefirstfewhoursofclimbingIenjoyedtheflowersandtreesandthebirds’singingbutastimepassedIgotapaininbothofmylegs.Iwantedtoquitclimbing.InfactIhateditatthatmomentbutmyfathersaidtome"Youcanalwaysseeabeautifulskyatthetopofthemountainbutyoucan’tseeitbeforeyoureachthetop.Onlythereatthetopcanyouseeallofthenicethingsjustlikeinlife." AtthattimeIwastooyoungtounderstandhiswords.Butlaterafterthat!gotnewhopeandconfidence信心.Ifoundmyselfstandingatthetopoftheskywhichwasasclearascrystal水晶. Thebesttitleforthepassageis.
athardchangeupbeforewinhappendownchoosepractisecomepartLifeisnoteasysoI’dliketosayWhenanything46believeinyourself!WhenIwasayoungboyIwastooshytospeaktoanyone.Myclassmatesoftenlaughed47me.Iwassadbutcoulddonothing.Latersomethinghappenedandit48mylife.ItwasanEnglishspeechcontest.Mymotheraskedmetotake49init.Whataterribleidea!ItmeantIhadtospeak50alltheteachersandstudentsofmyschool!Comeonboy.Believeinyourself!Youaresureto51ThenmotherandItalkedaboutmanydifferenttopics.AtlastI52thetopicBelieveinyourself.Itriedmybesttorememberallthespeechand53itover100times.Withmymother’sgreatloveIdidwellinthecontest.Icould54believemyearswhenthenewscamethatIhadwonthefirstplace.Iheardthecheersfromtheteachersandstudents.Thoseclassmateswhooncelooked55onmeallsaidcongratulationstome.
TheJapaneseMacacamonkeyhasbeenstudiedinthewildforover50years.In1952ononesmallJapaneseislandscientistsdroppedsome16inthedirtforthemonkeys.Themonkeyslikedtheirtastebuttheyfoundthedirt17. Oneclever18-month-oldmonkeyfoundshecould18theproblembywashingthesweetpotatoesinanearbyriver.Shetaughtthistohermother.Her19alsolearnedthisnewwayandtheytaughttheirmotherstoo. Alltheyoungermonkeys20learnedtowashthedirtysweetpotatoestomakethem21toeat.Butmanyoldmonkeysfounditveryhardtolearnthisandstillatethe22sweetpotatoes. Thensomethingverystrange23.Intheautumnof1958scientistsfoundthatthemonkeysonothernearby24beganwashingtheirsweetpotatoestoo.Scientistsstilldon’tfullyunderstandhowthisknowledgewas25fromoneislandtoanother. 18.
若函数y=log2ax2+3x+1的值域为R则a的取值范围是.
Myparentstaughtmenottowastefood.Mymomalwaysfoundwaystomakeleftoverstastegood.IwenttoIlantolearnaboutsomeoftheirspecialfood.AsIwasthereIlearnedaboutthefoodandthehistoryofthearea.Ilearnedthattheydon’twastefoodeitherandtheyuseleftovers! Manyyearsagotherewasnotenoughfoodforeveryone.Peoplelearnedtocookandeatalmosteverything.Theyhadtothinkofwaystomakespecialdishes.Oneofthesedishesiskaozha.It’smadewithleftoverslikemeat;soupoilandfat.Thatmightnotsoundverygoodbutitdoestastegood.Todaykaozhaisaspecialdishatbigbanquets. Anotherfamousdishiscalledzaobing.It’smadewithfruitmeatandotherthings.Ireallylikedit!ButIdidn’twanttoeattoomuch.Ithasalotoffatinit. IsmelledsomethingburningandIsawsmokesoIfoundanotherspecialfoodoftheIlanarea—duckmeat.Theduckmeatisputinabigoventocookit.Smokekeepsthemeatfresh.Idon’tusuallyeatmeatbutthisduckmeatwasdelicious!Ittastedsweet. Ilanisagreatplacewithdeliciousfood.IhopeIcancomebackagain! Thewriterlearnsfromherparents.
athardchangeupbeforewinhappendownchoosepractisecomepartLifeisnoteasysoI’dliketosayWhenanything46believeinyourself!WhenIwasayoungboyIwastooshytospeaktoanyone.Myclassmatesoftenlaughed47me.Iwassadbutcoulddonothing.Latersomethinghappenedandit48mylife.ItwasanEnglishspeechcontest.Mymotheraskedmetotake49init.Whataterribleidea!ItmeantIhadtospeak50alltheteachersandstudentsofmyschool!Comeonboy.Believeinyourself!Youaresureto51ThenmotherandItalkedaboutmanydifferenttopics.AtlastI52thetopicBelieveinyourself.Itriedmybesttorememberallthespeechand53itover100times.Withmymother’sgreatloveIdidwellinthecontest.Icould54believemyearswhenthenewscamethatIhadwonthefirstplace.Iheardthecheersfromtheteachersandstudents.Thoseclassmateswhooncelooked55onmeallsaidcongratulationstome.
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