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已知向量，且 (1)求tanA的值； (2)求函数f(x)=cos2x+tanAsinx(x∈R)的值域．
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Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
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Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
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Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
EddieMcKayaonceforgottenpilotisasubjectofgreatinteresttoagroupofhistorystudentsinCanada.ItallstartedwhenGrahamBroadaprofessorattheUniversityofWesternOntariofoundMcKay’snameinafootnoteinabookaboutuniversityhistory.MckaywasincludedinalistofuniversityalumniwhohadservedduringtheFirstWorldWarbuthisnamewasunfamiliartoBroadaspecialistinmilitaryhistory.OutofcuriosityBroadspenthoursatthelocalarchivesinafruitlesssearchforinformationonMcKay.Tiredanddiscouragedhefinallygaveup.OnhiswayoutBroad’sglancehappenedtofallonanexhibitingcaseshowingsomeoldnewspapers.Hiseyewasdrawntoanoldpictureofayoungmaninarugbyuniform.Ashereadthewordsbesidethepictureheexperiencedathrillingrealization.AfterlookingforhimalldaytherehewasstaringupatmeoutoftheexhibitingcasesaidBroad.ExcitedbythefindBroadaskedhisstudentstocontinuehissearch.Theycombedoldnewspapersandothermaterialsforclues.Graduallyapicturecameintoview.CaptainAlfredEdwinMcKayjoinedtheBritishRoyalFlyingCorpsin1916.HedownedtenenemyplanesoutlivedhisentiresquadronasaWW1flyerspentsometimeasaflyinginstructorinEnglandthenreturnedtothefrontwherehewaseventuallyshotdownoverBelgiumandkilledinDecember1917.Butthere’smoretohisstory.Forabrieftimein1916hewasprobablythemostfamouspilotintheworldsaysBroad.HewascreditedwithdowningOswaldBoelckethemostfamousGermanpilotatthetime.YetinaletterhomeMcKayrefusedtotakecreditsayingthatBoelckehadactuallycrashedintoanotherGermanplane.McKay’swarrecordsweredestroyedduringWorldWarTwoairbombingonLondon-anexplanationforwhyhewasallbutforgotten.ButnowthankstotheeffortsofBroadandhisstudentsamarkerinMcKay’smemorywasplacedontheuniversitygroundsinNovember2007.IfoundmyeyesfillingwithtearsasIreadtheword’deceased’nexttohisnamesaidCoreyEverrettastudentwhofoundapictureofMckayinhisuniform.ThiswassuchasimpleexampleofthefactthathehadbeenastudentjustlikeusbutinsteadoffinishinghistimeatWesternhechosetofightanddieforhiscountry./WhatdidthestudentsfindoutaboutMcKay
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Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
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Ranch.ItwasnearLosAngelesinCaliforniA.AfewyearslaterHollywoodwasoneofthefamousplacesintheworld.Atthebeginningofthe20thcenturytherewasabigfarmcalledHollywood.Fromthe1910’stothe1950’sHollywoodwasthefilmcenteroftheworld.Everyfamilyknewthenamesofitsfilmstars—CharlieChaplinGretaGarboBergmanandhundredsmore.ThereasonwhypeoplewenttoHollywoodtomakefilmswasthesun.AtfirstpeoplemadefilmsinNewYorkontheeastcoastoftheUnitedStates.ButthentheyheardaboutLosAngeleswherethereare350daysofthesuneveryyear.Astheymadeallthefilmsbysunlightthewestcoastwasamuchbetterplacetowork.AlsonearHollywoodyoucanfindmountainsandseaanddesert.Theydidnothavetotravelfartomakeanykindoffilm.WhenTVbecamepopularHollywoodstartedmakingfilmsfortelevision.Theninthe1970’stheydiscoveredpeoplestillwenttothecinematoseebigexpensivefilms.NowadaystheyarestillmakingfilmsinHollywoodandpeopleseethemallovertheworld.Whowasnotmentionedasafilmstarinthepassage______.
Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
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Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
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EddieMcKayaonceforgottenpilotisasubjectofgreatinteresttoagroupofhistorystudentsinCanada.ItallstartedwhenGrahamBroadaprofessorattheUniversityofWesternOntariofoundMcKay’snameinafootnoteinabookaboutuniversityhistory.MckaywasincludedinalistofuniversityalumniwhohadservedduringtheFirstWorldWarbuthisnamewasunfamiliartoBroadaspecialistinmilitaryhistory.OutofcuriosityBroadspenthoursatthelocalarchivesinafruitlesssearchforinformationonMcKay.Tiredanddiscouragedhefinallygaveup.OnhiswayoutBroad’sglancehappenedtofallonanexhibitingcaseshowingsomeoldnewspapers.Hiseyewasdrawntoanoldpictureofayoungmaninarugbyuniform.Ashereadthewordsbesidethepictureheexperiencedathrillingrealization.AfterlookingforhimalldaytherehewasstaringupatmeoutoftheexhibitingcasesaidBroad.ExcitedbythefindBroadaskedhisstudentstocontinuehissearch.Theycombedoldnewspapersandothermaterialsforclues.Graduallyapicturecameintoview.CaptainAlfredEdwinMcKayjoinedtheBritishRoyalFlyingCorpsin1916.HedownedtenenemyplanesoutlivedhisentiresquadronasaWW1flyerspentsometimeasaflyinginstructorinEnglandthenreturnedtothefrontwherehewaseventuallyshotdownoverBelgiumandkilledinDecember1917.Butthere’smoretohisstory.Forabrieftimein1916hewasprobablythemostfamouspilotintheworldsaysBroad.HewascreditedwithdowningOswaldBoelckethemostfamousGermanpilotatthetime.YetinaletterhomeMcKayrefusedtotakecreditsayingthatBoelckehadactuallycrashedintoanotherGermanplane.McKay’swarrecordsweredestroyedduringWorldWarTwoairbombingonLondon-anexplanationforwhyhewasallbutforgotten.ButnowthankstotheeffortsofBroadandhisstudentsamarkerinMcKay’smemorywasplacedontheuniversitygroundsinNovember2007.IfoundmyeyesfillingwithtearsasIreadtheword’deceased’nexttohisnamesaidCoreyEverrettastudentwhofoundapictureofMckayinhisuniform.ThiswassuchasimpleexampleofthefactthathehadbeenastudentjustlikeusbutinsteadoffinishinghistimeatWesternhechosetofightanddieforhiscountry./WecanlearnfromthelastparagraphthatMcKay______.
Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
Formanypeopletodayreadingisnolongerrelaxation.Tokeepuptheirworktheymustreadlettersreportstradepublicationsinterofficecommunicationsnottomentionnewspapersandmagazines:aneverendingfloodofwords.In1ajoboradvancinginonetheabilitytoreadandcomprehend2canmeanthedifferencebetweensuccessandfailure.Yettheunfortunatefactisthatmostofusare3readers.Mostofusdeveloppoorreading4atanearlyageandnevergetoverthem.Themaindeficiency5intheactualstuffoflanguageitself—words.Takenindividuallywordshave6meaninguntiltheyarestrungtogetherintophrasessentencesandparagraphs.7howevertheuntrainedreaderdoesnotreadgroupsofwords.Helaboriouslyreadsonewordatatimeoftenregressingto8wordsorpassages.Regressionthetendencytolookbackover9youhavejustreadisacommonbadhabitinreading.Anotherhabitwhich10downthespeedofreadingisvocalization—soundingeachwordeitherorallyormentallyas11reads.Toovercomethesebadhabitssomereadingclinicsuseadevicecalledan12whichmovesabarorcurtaindownthepageatapredeterminedspeed.Thebarissetataslightlyfasterrate13thereaderfindscomfortableinordertostretchhim.Theacceleratorforcesthereadertoreadfast14wordbywordreadingregressionandsubvocalizationpracticallyimpossible.Atfirst15issacrificedforspeed.Butwhenyoulearntoreadideasandconceptsyouwillnotonlyreadfaster16yourcomprehensionwillimprove.Manypeoplehavefound17readingskilldrasticallyimprovedaftersometraining.18CharlieAuabusinessmanagerforinstance.Hisreadingratewasareasonablygood172wordsaminute19thetraining;nowitisanexcellent1378wordsaminute.Heisdelightedthathowhecan20alotmorereadingmaterialinashortperiodoftime.
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