函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件

第四節(jié)函數(shù)y=Asin(ωx+q)的圖象及角函數(shù)模型的簡(jiǎn)單應(yīng)用第四節(jié)11.函數(shù)y=Asin(ox+q)的有關(guān)概念y=Asin(ax+q)振幅周期頻率相位|初相A>0,o>0)A|r=272rox+pq1.函數(shù)y=Asin(ox+q)的有關(guān)概念22用五點(diǎn)法畫y=Asn(ox+g)-個(gè)周期內(nèi)的簡(jiǎn)圖用五點(diǎn)法畫y=Asin(ox+q)一個(gè)周期內(nèi)的簡(jiǎn)圖時(shí),要找五個(gè)關(guān)鍵點(diǎn),如下表所示30222:p|I_2-p3T_22T-p2020oy=Asin(ox+o)0AA2用五點(diǎn)法畫y=Asn(ox+g)-個(gè)周期內(nèi)的簡(jiǎn)圖3函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件4過(guò)基礎(chǔ)題過(guò)基礎(chǔ)5判斷下列結(jié)論是否正確(請(qǐng)?jiān)诶ㄌ?hào)中打“√”或“×”)(函數(shù)y=mx-4的圖象是由y=sx+4的圖象向右平移2個(gè)單位得到的(2)利用圖象變換作圖時(shí)“先平移,后伸縮”與“先伸縮,后平移”中平移的長(zhǎng)度一致3函數(shù)y=Asi(ax+)最小正周期為r=2.()(4把函數(shù)y=sinx的圖象上各點(diǎn)縱坐標(biāo)不變,橫坐標(biāo)縮短為原來(lái)的2,所得圖象對(duì)應(yīng)的函數(shù)解析式為y=sinx.()答案:(1)√(2)×(3)×(4)×判斷下列結(jié)論是否正確(請(qǐng)?jiān)诶ㄌ?hào)中打“√”或“×”)6函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件73.函數(shù)y=cosxltanxl0≤x≤π且x≠,的圖象為()ONnπxsinx,x∈0,解析:由題意知y結(jié)合圖象知選C答案:C3.函數(shù)y=cosxltanxl0≤x≤π且x≠,的圖84.為了得到函數(shù)y=2sin2x-3的圖象,可以將函數(shù)y=2in2的圖象A.向右平移個(gè)單位長(zhǎng)度B.向右平移3個(gè)單位長(zhǎng)度C.向左平移6個(gè)單位長(zhǎng)度向左平移2個(gè)單位長(zhǎng)度解析:函數(shù)y=2si2x2sin2x可由函數(shù)2sinx的圖象向右平移個(gè)單位長(zhǎng)度得到.故選A答案:A4.為了得到函數(shù)y=2sin2x-3的圖象,可以將函數(shù)y=295.用五點(diǎn)法作函數(shù)=snx-6在一個(gè)周期內(nèi)的圖象時(shí),主要確定的五個(gè)點(diǎn)是答案:(G,0(2xT13π36365.用五點(diǎn)法作函數(shù)=snx-6在一個(gè)周期內(nèi)的圖象時(shí),主要10函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件11函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件12函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件13函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件14函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件15函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件16函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件17函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件18函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件19函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件20函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件21函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件22函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件23函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件24函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件25函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件26函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件27函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件28函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件29函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件30函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件31函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件32函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件33函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件34函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件35函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件36函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件37函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件38函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件39函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件40函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件41函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件42函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件43函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件44函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件45函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件46函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件47函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件48函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件49函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件50函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件51函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件52第四節(jié)函數(shù)y=Asin(ωx+q)的圖象及角函數(shù)模型的簡(jiǎn)單應(yīng)用第四節(jié)531.函數(shù)y=Asin(ox+q)的有關(guān)概念y=Asin(ax+q)振幅周期頻率相位|初相A>0,o>0)A|r=272rox+pq1.函數(shù)y=Asin(ox+q)的有關(guān)概念542用五點(diǎn)法畫y=Asn(ox+g)-個(gè)周期內(nèi)的簡(jiǎn)圖用五點(diǎn)法畫y=Asin(ox+q)一個(gè)周期內(nèi)的簡(jiǎn)圖時(shí),要找五個(gè)關(guān)鍵點(diǎn),如下表所示30222:p|I_2-p3T_22T-p2020oy=Asin(ox+o)0AA2用五點(diǎn)法畫y=Asn(ox+g)-個(gè)周期內(nèi)的簡(jiǎn)圖55函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件56過(guò)基礎(chǔ)題過(guò)基礎(chǔ)57判斷下列結(jié)論是否正確(請(qǐng)?jiān)诶ㄌ?hào)中打“√”或“×”)(函數(shù)y=mx-4的圖象是由y=sx+4的圖象向右平移2個(gè)單位得到的(2)利用圖象變換作圖時(shí)“先平移,后伸縮”與“先伸縮,后平移”中平移的長(zhǎng)度一致3函數(shù)y=Asi(ax+)最小正周期為r=2.()(4把函數(shù)y=sinx的圖象上各點(diǎn)縱坐標(biāo)不變,橫坐標(biāo)縮短為原來(lái)的2,所得圖象對(duì)應(yīng)的函數(shù)解析式為y=sinx.()答案:(1)√(2)×(3)×(4)×判斷下列結(jié)論是否正確(請(qǐng)?jiān)诶ㄌ?hào)中打“√”或“×”)58函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件593.函數(shù)y=cosxltanxl0≤x≤π且x≠,的圖象為()ONnπxsinx,x∈0,解析:由題意知y結(jié)合圖象知選C答案:C3.函數(shù)y=cosxltanxl0≤x≤π且x≠,的圖604.為了得到函數(shù)y=2sin2x-3的圖象,可以將函數(shù)y=2in2的圖象A.向右平移個(gè)單位長(zhǎng)度B.向右平移3個(gè)單位長(zhǎng)度C.向左平移6個(gè)單位長(zhǎng)度向左平移2個(gè)單位長(zhǎng)度解析:函數(shù)y=2si2x2sin2x可由函數(shù)2sinx的圖象向右平移個(gè)單位長(zhǎng)度得到.故選A答案:A4.為了得到函數(shù)y=2sin2x-3的圖象,可以將函數(shù)y=2615.用五點(diǎn)法作函數(shù)=snx-6在一個(gè)周期內(nèi)的圖象時(shí),主要確定的五個(gè)點(diǎn)是答案:(G,0(2xT13π36365.用五點(diǎn)法作函數(shù)=snx-6在一個(gè)周期內(nèi)的圖象時(shí),主要62函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件63函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件64函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件65函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件66函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件67函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件68函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件69函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件70函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件71函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件72函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件73函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件74函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件75函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件76函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件77函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件78函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件79函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件80函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件81函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件82函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件83函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件84函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件85函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件86函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件87函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件88函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件89函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件90函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件91函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件92函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件93函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件94函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件95函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)模型課件96函數(shù)y=Asin(ωx+φ)的圖象及三角函數(shù)