新高考數(shù)學(xué)一輪復(fù)習(xí) 講與練第14練 三角函數(shù)的圖像和性質(zhì)（原卷版）

第14練三角函數(shù)的圖像和性質(zhì)學(xué)校____________姓名____________班級(jí)____________一、單選題1．如果函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的最小值是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知函數(shù)SKIPIF1<0，則f（x）（

）A．在（0，SKIPIF1<0）單調(diào)遞減 B．在（0，π）單調(diào)遞增C．在（—SKIPIF1<0，0）單調(diào)遞減 D．在（—SKIPIF1<0，0）單調(diào)遞增3．函數(shù)SKIPIF1<0的周期為2，下列說法正確的是（

）A．SKIPIF1<0B．SKIPIF1<0是奇函數(shù)C．f（x）在[SKIPIF1<0，SKIPIF1<0]上單調(diào)遞增D．SKIPIF1<0的圖像關(guān)于直線SKIPIF1<0對(duì)稱4．函數(shù)SKIPIF1<0的部分圖象大致為（

）A． B．C． D．5．對(duì)任意SKIPIF1<0，用SKIPIF1<0表示不超過x的最大整數(shù)，設(shè)函數(shù)SKIPIF1<0，則SKIPIF1<0（

）．A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的所有零點(diǎn)之和為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0，若SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)單調(diào)遞減，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知以SKIPIF1<0為周期的函數(shù)SKIPIF1<0，其中SKIPIF1<0.若方程SKIPIF1<0恰有5個(gè)實(shí)數(shù)解，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題9．已知函數(shù)SKIPIF1<0圖象的一條對(duì)稱軸方程為SKIPIF1<0，與其相鄰對(duì)稱中心的距離為SKIPIF1<0，則（

）A．SKIPIF1<0的最小正周期為SKIPIF1<0 B．SKIPIF1<0的最小正周期為SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．已知函數(shù)SKIPIF1<0的圖象上，相鄰兩條對(duì)稱軸之間的最小距離為SKIPIF1<0，圖象沿x軸向左平移SKIPIF1<0單位后，得到一個(gè)偶函數(shù)的圖象，則下列結(jié)論正確的是（

）A．函數(shù)圖象的一個(gè)對(duì)稱中心為SKIPIF1<0B．當(dāng)cSKIPIF1<0到時(shí)，函數(shù)SKIPIF1<0的最小值為SKIPIF1<0C．若SKIPIF1<0，則SKIPIF1<0的值為SKIPIF1<0D．函數(shù)SKIPIF1<0的減區(qū)間為SKIPIF1<011．已知SKIPIF1<0是函數(shù)SKIPIF1<0SKIPIF1<0圖像的一個(gè)最高點(diǎn)，B，C是與P相鄰的兩個(gè)最低點(diǎn)．若△PBC為等邊三角形，則下列說法正確的是（

）A．SKIPIF1<0B．SKIPIF1<0的最小正周期為8C．SKIPIF1<0D．將SKIPIF1<0圖像上所有的點(diǎn)向右平移1個(gè)單位長(zhǎng)度后得到SKIPIF1<0的圖像，SKIPIF1<0是SKIPIF1<0圖像的一個(gè)對(duì)稱中心12．（多選題）聲音是由物體振動(dòng)產(chǎn)生的聲波，其中包含著正弦函數(shù)．純音的數(shù)學(xué)模型是函數(shù)SKIPIF1<0，我們聽到的聲音是由純音合成的，稱之為復(fù)合音．若一個(gè)復(fù)合音的數(shù)學(xué)模型是函數(shù)SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱 B．SKIPIF1<0在SKIPIF1<0上是增函數(shù)C．SKIPIF1<0的最大值為SKIPIF1<0 D．若SKIPIF1<0，則SKIPIF1<0三、解答題13．已知函數(shù)SKIPIF1<0.(1)求函數(shù)SKIPIF1<0的最小正周期；(2)求函數(shù)SKIPIF1<0在SKIPIF1<0上的最值.14．已知函數(shù)SKIPIF1<0，且函數(shù)SKIPIF1<0的最小正周期為SKIPIF1<0.(1)求SKIPIF1<0的解析式，并求出SKIPIF1<0的單調(diào)遞增區(qū)間；(2)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的圖象，求函數(shù)SKIPIF1<0的最大值及SKIPIF1<0取得最大值時(shí)x的取值集合.15．已知函數(shù)SKIPIF1<0．(1)求函數(shù)SKIPIF1<0的最小正周期和對(duì)稱中心；(2)若SKIPIF1<0，方程SKIPIF1<0有兩個(gè)實(shí)數(shù)解，求實(shí)數(shù)m的取值范圍．16．已知函數(shù)SKIPIF1<0.(1)求函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增區(qū)間；(2)將函數(shù)SKIPI