新高考數(shù)學(xué)一輪復(fù)習(xí) 專項(xiàng)分層精練第23課 降冪及輔助角公式（原卷版）

第23課降冪及輔助角公式（分層專項(xiàng)精練）【一層練基礎(chǔ)】一、單選題1．（2022·全國(guó)·高三專題練習(xí)）若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國(guó)·高三專題練習(xí)）已知SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2013·浙江·高考真題）函數(shù)?(x)＝sinxcosx＋SKIPIF1<0cos2x的最小正周期和振幅分別是（

）A．π，1 B．π，2C．2π，1 D．2π，24．（2023·全國(guó)·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，若SKIPIF1<0的圖象在區(qū)間SKIPIF1<0上有且只有1個(gè)最低點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題5．（2023春·江西宜春·高二上高二中?？计谀┤絷P(guān)于SKIPIF1<0的方程SKIPIF1<0在區(qū)間SKIPIF1<0上有且只有一個(gè)解，則SKIPIF1<0的值可能為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．0 D．16．（2023春·山西晉城·高一晉城市第一中學(xué)校校考期中）已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0與SKIPIF1<0均在SKIPIF1<0單調(diào)遞增B．SKIPIF1<0的圖象可由SKIPIF1<0的圖象平移得到C．SKIPIF1<0圖象的對(duì)稱軸均為SKIPIF1<0圖象的對(duì)稱軸D．函數(shù)SKIPIF1<0的最大值為SKIPIF1<07．（2022春·云南曲靖·高一會(huì)澤縣實(shí)驗(yàn)高級(jí)中學(xué)校校考階段練習(xí)）已知函數(shù)SKIPIF1<0，則下列說法正確的是（

）A．函數(shù)SKIPIF1<0的周期為SKIPIF1<0 B．函數(shù)SKIPIF1<0的最大值為2C．SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增 D．SKIPIF1<0是函數(shù)SKIPIF1<0的一個(gè)零點(diǎn)三、填空題8．（2019·山東臨沂·統(tǒng)考一模）已知SKIPIF1<0．9．（2023春·廣西防城港·高三統(tǒng)考階段練習(xí)）若SKIPIF1<0，則SKIPIF1<0．四、解答題10．（2023·全國(guó)·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，其中SKIPIF1<0，且函數(shù)SKIPIF1<0的兩個(gè)相鄰零點(diǎn)間的距離為SKIPIF1<0，(1)求SKIPIF1<0的值及函數(shù)SKIPIF1<0的對(duì)稱軸方程；(2)在SKIPIF1<0中，a，b，c分別是角A，B，C的對(duì)邊，若SKIPIF1<0，求SKIPIF1<0周長(zhǎng)的取值范圍．【二層練綜合】一、單選題1．（2023·河南新鄉(xiāng)·新鄉(xiāng)市第一中學(xué)?？寄M預(yù)測(cè)）SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國(guó)·高三專題練習(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)度后得函數(shù)SKIPIF1<0的圖象，則SKIPIF1<0圖象的一個(gè)對(duì)稱中心為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題3．（2023·全國(guó)·高三專題練習(xí)）已知函數(shù)SKIPIF1<0．若曲線SKIPIF1<0經(jīng)過點(diǎn)SKIPIF1<0，且關(guān)于直線SKIPIF1<0對(duì)稱，則（

）A．SKIPIF1<0的最小正周期為SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0的最大值為2 D．SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增三、解答題4．（2023春·山東淄博·高一?？计谥校┮阎瘮?shù)SKIPIF1<0的最小正周期為8．(1)求SKIPIF1<0的值及函數(shù)SKIPIF1<0的單調(diào)減區(qū)間；(2)若SKIPIF1<0，且SKIPIF1<0，求SKIPIF1<0的值．【三層練能力】一、多選題1．（2023春·高一單元測(cè)試）已知函數(shù)SKIPIF1<0，下列關(guān)于此函數(shù)的論述正確的是（

）A．SKIPIF1<0為函數(shù)SKIPIF1<0的一個(gè)周期 B．函數(shù)SKIPIF1<0的值域?yàn)镾KIPIF1<0C．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減 D．