新高考數(shù)學(xué)一輪復(fù)習(xí) 專項(xiàng)分層精練第20課 函數(shù)y＝Asin(ωx＋φ)的圖象（原卷版）

第20課函數(shù)y＝Asin(ωx＋φ)的圖象（分層專項(xiàng)精練）【一層練基礎(chǔ)】一、單選題1．（2023·全國(guó)·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，則下列結(jié)論錯(cuò)誤的是（

）A．函數(shù)SKIPIF1<0的最小正周期是SKIPIF1<0B．函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減C．函數(shù)SKIPIF1<0的圖象可由函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度，再向下平移1個(gè)單位長(zhǎng)度得到D．函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱2．（2023·江西南昌·南昌市八一中學(xué)校考三模）函數(shù)SKIPIF1<0的圖像向左平移SKIPIF1<0個(gè)單位得到函數(shù)SKIPIF1<0的圖像，若函數(shù)SKIPIF1<0是偶函數(shù)，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2023·全國(guó)·高一專題練習(xí)）已知函數(shù)SKIPIF1<0，將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度，得到函數(shù)SKIPIF1<0的部分圖象如圖所示，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022秋·全國(guó)·高一期末）已知函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度后得到函數(shù)SKIPIF1<0的圖象關(guān)于y軸對(duì)稱，則SKIPIF1<0的最小值為（

）A．1 B．2 C．SKIPIF1<0 D．5二、多選題5．（2023秋·廣西貴港·高三平南縣中學(xué)校考階段練習(xí)）已知函數(shù)SKIPIF1<0的部分圖象如圖所示，則（

）A．SKIPIF1<0的最小正周期為SKIPIF1<0B．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0的值域?yàn)镾KIPIF1<0C．將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長(zhǎng)度可得函數(shù)SKIPIF1<0的圖象D．將函數(shù)SKIPIF1<0的圖象上所有點(diǎn)的橫坐標(biāo)伸長(zhǎng)為原來(lái)的2倍，縱坐標(biāo)不變，得到的函數(shù)圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱6．（2023春·浙江金華·高一浙江省東陽(yáng)中學(xué)校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱，那么（

）A．函數(shù)SKIPIF1<0為奇函數(shù)B．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增C．若SKIPIF1<0，則SKIPIF1<0的最小值為SKIPIF1<0D．函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長(zhǎng)度得到函數(shù)SKIPIF1<0的圖象7．（2023·全國(guó)·高一期中）已知函數(shù)SKIPIF1<0，則下列說(shuō)法正確的有（

）A．SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0中心對(duì)稱B．SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱C．SKIPIF1<0在SKIPIF1<0上單調(diào)遞減D．將SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位，可以得到SKIPIF1<0的圖象三、填空題8．（2023春·福建福州·高三?？茧A段練習(xí)）將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度．得到函數(shù)g(x)的圖象，若g(x)是奇函數(shù)，則φ＝．9．（2023·全國(guó)·高三專題練習(xí)）已知SKIPIF1<0，現(xiàn)將SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度，再向下平移兩個(gè)單位長(zhǎng)度，得到SKIPIF1<0的圖象，則滿足SKIPIF1<0的SKIPIF1<0的取值集合為．四、解答題10．（2023秋·天津薊州·高三?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0的部分圖象如圖所示.(1)求SKIPIF1<0的最小正周期及解析式；(2)將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長(zhǎng)度得到函數(shù)SKIPIF1<0的圖象，求函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值和最小值.【二層練綜合】一、單選題1．（2023·全國(guó)·統(tǒng)考高考真題）函數(shù)SKIPIF1<0的圖象由函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度得到，則SKIPIF1<0的圖象與直線SKIPIF1<0的交點(diǎn)個(gè)數(shù)為（

）A．1 B．2 C．3 D．4二、多選題2．（2023春·河南南陽(yáng)·高一河南省桐柏縣第一高級(jí)中學(xué)?？茧A段練習(xí)）函數(shù)SKIPIF1<0（其中A，SKIPIF1<0，SKIPIF1<0是常數(shù)，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0）的部分圖象如圖所示，則下列說(shuō)法正確的是（

）A．SKIPIF1<0的值域?yàn)镾KIPIF1<0B．SKIPIF1<0的最小正周期為πC．SKIPIF1<0D．將函數(shù)f（x）的圖象向左平移SKIPIF1<0個(gè)單位，得到函數(shù)SKIPIF1<0的圖象三、填空題3．（2023春·江西宜春·高三江西省宜豐中學(xué)?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0的部分圖象如圖所示，將SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位得到SKIPIF1<0的圖象，若不等式SKIPIF1<0在SKIPIF1<0，上恒成立，則SKIPIF1<0的取值范圍是．四、解答題4．（2023春·四川眉山·高一統(tǒng)考期中）已知數(shù)SKIPIF1<0的相鄰兩對(duì)稱軸間的距離為SKIPIF1<0.(1)求SKIPIF1<0的解析式；(2)將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長(zhǎng)度，再把各點(diǎn)的橫坐標(biāo)縮小為原來(lái)的SKIPIF1<0（縱坐標(biāo)不變），得到函數(shù)SKIPIF1<0的圖象，當(dāng)SKIPIF1<0時(shí)，求函數(shù)SKIPIF1<0的值域；(3)對(duì)于第（2）問(wèn)中的函數(shù)SKIPIF1<0，記方程SKIPIF1<0在SKIPIF1<0上的根從小到大依次為SKIPIF1<0，若SKIPIF1<0SKIPIF1<0，試求SKIPIF1<0與SKIPIF1<0的值.【三層練能力】一、多選題1．（2023春·河南焦作·高二博愛(ài)縣第一中學(xué)?？计谀┮阎瘮?shù)SKIPIF1<0（SKIPIF1<0為正整數(shù)，SKIPIF1<0）的最小正周期SKIPIF1<0，將函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位長(zhǎng)度后所得圖象關(guān)于原點(diǎn)對(duì)稱，則下列關(guān)于函數(shù)SKIPIF1<0的說(shuō)法正確的是（

）A．SKIPIF1<0是函數(shù)SKIPIF1<0的一個(gè)零點(diǎn) B．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱C．方程SKIPIF1<0在SKIPIF1<0上有三個(gè)解 D．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減二、填空題2．（2022·四川廣安·廣安二中?？寄M預(yù)測(cè)）已知曲線SKIPIF1<0相鄰對(duì)稱軸之間的距離為SKIPIF1<0，且函數(shù)SKIPIF1<0在SKIPIF1<0處取得最大值，則下列結(jié)論正確的序號(hào)是.①當(dāng)SKIPIF1<