新高考數(shù)學(xué)二輪復(fù)習(xí)強化練習(xí)專題09 三角函數(shù)與三角恒等變換（練）（原卷版）

第一篇熱點、難點突破篇專題09三角函數(shù)與三角恒等變換（練）【對點演練】一、單選題1．（2022·河南·民權(quán)縣第一高級中學(xué)模擬預(yù)測（文））若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．SKIPIF1<02．（2022·貴州·鎮(zhèn)遠(yuǎn)縣文德民族中學(xué)校高三階段練習(xí)（文））若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值是SKIPIF1<0，則SKIPIF1<0（

）A．2 B．1 C．0 D．SKIPIF1<03．（2022·安徽·阜陽師范大學(xué)附屬中學(xué)高三階段練習(xí)）函數(shù)SKIPIF1<0的部分圖象大致是（

）A． B．C． D．4．（2023·全國·高三階段練習(xí)）已知SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題5．（2022·安徽·阜陽師范大學(xué)附屬中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，將SKIPIF1<0的圖像向左平移SKIPIF1<0個單位長度后得到函數(shù)SKIPIF1<0的圖像，則（

）A．SKIPIF1<0的最小正周期為SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0圖像的一個對稱中心為SKIPIF1<0D．SKIPIF1<06．（2022·江蘇省鎮(zhèn)江第一中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0，則下列各選項正確的是（

）A．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱B．函數(shù)SKIPIF1<0的圖象關(guān)于點SKIPIF1<0對稱C．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減D．函數(shù)SKIPIF1<0在SKIPIF1<0上恰有4個極值點三、填空題7．（2022·對外經(jīng)濟貿(mào)易大學(xué)附屬中學(xué)（北京市第九十四中學(xué)）高三階段練習(xí)）若函數(shù)SKIPIF1<0，滿足對任意實數(shù)SKIPIF1<0，有SKIPIF1<0，則SKIPIF1<0的單調(diào)遞減區(qū)間是______.8．（2022·山東臨沂·高三期中）已知SKIPIF1<0，則SKIPIF1<0___________.四、解答題9．（2023·全國·高三階段練習(xí)）已知函數(shù)SKIPIF1<0．(1)求函數(shù)SKIPIF1<0的最小正周期和單調(diào)遞減區(qū)間；(2)當(dāng)SKIPIF1<0時，求函數(shù)SKIPIF1<0的值域．10．（2022·陜西·禮泉縣第二中學(xué)高三階段練習(xí)（理））已知函數(shù)SKIPIF1<0的部分圖象如圖所示.(1)求函數(shù)SKIPIF1<0的解析式；(2)將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個單位，再將圖象上各點的橫坐標(biāo)伸長到原來的2倍（縱坐標(biāo)不變）得到函數(shù)SKIPIF1<0的圖象，若關(guān)于SKIPIF1<0的方程SKIPIF1<0在區(qū)間SKIPIF1<0上有兩個不同的實數(shù)解，求實數(shù)SKIPIF1<0的取值范圍.【沖刺提升】2023三角函數(shù)恒等變換一、單選題1．（2022·河南·安陽一中模擬預(yù)測（文））函數(shù)SKIPIF1<0圖像大致為（）A． B．C． D．2．（2022·陜西·漢陰縣第二高級中學(xué)一模（文））設(shè)函數(shù)SKIPIF1<0的圖象的一個對稱中心為SKIPIF1<0，則SKIPIF1<0的一個最小正周期是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·江蘇省鎮(zhèn)江第一中學(xué)高三階段練習(xí)）在平面直角坐標(biāo)系SKIPIF1<0中，已知角SKIPIF1<0的終邊與以原點為圓心的單位圓相交于點SKIPIF1<0，角SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·陜西·禮泉縣第二中學(xué)高三階段練習(xí)（理））已知函數(shù)SKIPIF1<0，下列說法錯誤的是（

）A．SKIPIF1<0的圖象的一個對稱中心為SKIPIF1<0B．SKIPIF1<0的圖象的一條對稱軸為直線SKIPIF1<0C．SKIPIF1<0在SKIPIF1<0上單調(diào)遞增D．函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個單位長度后得到的是一個奇函數(shù)的圖象5．（2022·天津市第二耀華中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0，給出以下四個命題：①SKIPIF1<0的最小正周期為SKIPIF1<0；②SKIPIF1<0在SKIPIF1<0上的值域為SKIPIF1<0；③SKIPIF1<0的圖象關(guān)于點SKIPIF1<0中心對稱；④SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱.其中正確命題的個數(shù)是（

）A．1 B．2 C．3 D．46．（2022·山東臨沂·高三期中）已知SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題7．（2022·廣東·肇慶市第一中學(xué)高三階段練習(xí)）已知向量SKIPIF1<0，函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0的最大值為2B．直線SKIPIF1<0是SKIPIF1<0圖象的一條對稱軸C．點SKIPIF1<0是SKIPIF1<0圖象的一個對稱中心D．SKIPIF1<0在SKIPIF1<0上單調(diào)遞減三、填空題8．（2022·湖南·慈利縣第一中學(xué)高三階段練習(xí)）若曲線在SKIPIF1<0在SKIPIF1<0，SKIPIF1<0兩點處的切線互相垂直，則SKIPIF1<0的最小值為________．9.（2022·廣西貴港·高三階段練習(xí)）已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有且僅有3個極值點，給出下列四個結(jié)論，正確的序號是_______________.①SKIPIF1<0在區(qū)間SKIPIF1<0上有且僅有3個不同的零點；②SKIPIF1<0的最小正周期可能是SKIPIF1<0；③SKIPIF1<0的取值范圍是SKIPIF1<0；④SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增.四、解答題10．（2022·河北張家口·高三期中）已知函數(shù)SKIPIF1<0的最小正周期為SKIPIF1<0．(1)求SKIPIF1<0的值，并在上面提供的直角坐標(biāo)系中畫出函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的圖象；(2)函數(shù)SKIPIF1<0的圖象可由函數(shù)SKIPIF1<0的圖象經(jīng)過怎樣的變換得到？11．（2022·湖南·慈利縣第一中學(xué)高三階段練習(xí)）已知SKIPIF1<0．(1)求SKIPIF1<0的單調(diào)遞增區(qū)間；(2)若函數(shù)SKIPIF1<0