新高考數(shù)學(xué)一輪復(fù)習(xí) 第5章 三角函數(shù)（綜合檢測(cè)）（原卷版）

第五章三角函數(shù)章末檢測(cè)（考試時(shí)間：120分鐘試卷滿分：150分）注意事項(xiàng)：1．答卷前，考生務(wù)必將自己的姓名、準(zhǔn)考證號(hào)等填寫(xiě)在答題卡和試卷指定位置上。2．回答選擇題時(shí)，選出每小題答案后，用鉛筆把答題卡上對(duì)應(yīng)題目的答案標(biāo)號(hào)涂黑。如需改動(dòng)，用橡皮擦干凈后，再選涂其他答案標(biāo)號(hào)。回答非選擇題時(shí)，將答案寫(xiě)在答題卡上。寫(xiě)在本試卷上無(wú)效。3．考試結(jié)束后，將本試卷和答題卡一并交回。第Ⅰ卷一、單項(xiàng)選擇題：本題共8小題，每小題5分，共40分．在每小題給出的四個(gè)選項(xiàng)中，只有一項(xiàng)是符合題目要求.1．為了得到函數(shù)SKIPIF1<0的圖象，可以將函數(shù)SKIPIF1<0的圖象（

）A．向左平移SKIPIF1<0個(gè)單位長(zhǎng)度 B．向右平移SKIPIF1<0個(gè)單位長(zhǎng)度C．向左平移SKIPIF1<0個(gè)單位長(zhǎng)度 D．向右平移SKIPIF1<0個(gè)單位長(zhǎng)度2．已知SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知SKIPIF1<0為銳角，SKIPIF1<0，則SKIPIF1<0（

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．關(guān)于函數(shù)SKIPIF1<0有下述四個(gè)結(jié)論：①若SKIPIF1<0，則SKIPIF1<0；②SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱；③函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增；④SKIPIF1<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SKIPIF1<0軸對(duì)稱.其中所有正確結(jié)論的編號(hào)是A．①②④ B．①② C．③④ D．②④5．設(shè)SKIPIF1<0，則tanSKIPIF1<0=（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．把函數(shù)SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位后，得到一個(gè)偶函數(shù)的圖象，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0，SKIPIF1<0.若函數(shù)SKIPIF1<0只有一個(gè)極大值和一個(gè)極小值，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多項(xiàng)選擇題：本題共4小題，每小題5分，共20分.在每小題給出的選項(xiàng)中，有多項(xiàng)符合題目要求.全部選對(duì)的得5分，部分選對(duì)的得2分，有選錯(cuò)的得0分.9．將函數(shù)SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位后，所得圖象關(guān)于SKIPIF1<0軸對(duì)稱，則實(shí)數(shù)SKIPIF1<0的值可能為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．函數(shù)SKIPIF1<0的部分圖象如圖所示，則下列說(shuō)法正確的是（

）A．SKIPIF1<0在SKIPIF1<0上單調(diào)遞減B．SKIPIF1<0關(guān)于直線SKIPIF1<0對(duì)稱C．SKIPIF1<0關(guān)于點(diǎn)SKIPIF1<0對(duì)稱D．SKIPIF1<0在SKIPIF1<0上的最小值為SKIPIF1<011．若函數(shù)SKIPIF1<0同時(shí)滿足以下條件：①SKIPIF1<0是函數(shù)SKIPIF1<0的零點(diǎn)，且SKIPIF1<0；②SKIPIF1<0，有SKIPIF1<0，則（

）A．SKIPIF1<0B．將SKIPIF1<0的圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度得到的圖象解析式為SKIPIF1<0C．SKIPIF1<0在SKIPIF1<0上單調(diào)遞減D．直線SKIPIF1<0是曲線SKIPIF1<0的一條對(duì)稱軸12．已知函數(shù)SKIPIF1<0，則下列結(jié)論正確的有（

）A．SKIPIF1<0為函數(shù)SKIPIF1<0的一個(gè)周期 B．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱C．函數(shù)SKIPIF1<0在SKIPIF1<0上為減函數(shù) D．函數(shù)SKIPIF1<0的值域?yàn)镾KIPIF1<0第Ⅱ卷三、填空題：本題共4小題，每小題5分，共20分13．函數(shù)SKIPIF1<0的定義域是.14．已知扇形的面積為9，圓心角為2rad，則扇形的弧長(zhǎng)為_(kāi)_____．15．已知SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0______．16．若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上僅有一條對(duì)稱軸及一個(gè)對(duì)稱中心，則SKIPIF1<0的取值范圍為_(kāi)_______．四、解答題：本小題共6小題，共70分，其中第17題10分，18~22題12分。解答應(yīng)寫(xiě)出文字說(shuō)明、證明過(guò)程或演算步驟.17．函數(shù)SKIPIF1<0的部分圖象如圖所示.(1)求SKIPIF1<0的解析式；(2)將SKIPIF1<0的圖象向右平移SKIPIF1<0個(gè)單位,再把得到的圖象上各點(diǎn)的橫坐標(biāo)縮短到原來(lái)的SKIPIF1<0，縱坐標(biāo)不變,然后再向下平移SKIPIF1<0個(gè)單位,得到SKIPIF1<0的圖象,求SKIPIF1<0在SKIPIF1<0上的值域.18．設(shè)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上的最大值.19．小明同學(xué)用“五點(diǎn)法”作某個(gè)正弦型函數(shù)SKIPIF1<0在一個(gè)周期內(nèi)的圖象時(shí)，列表如下：SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<00SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0030-30根據(jù)表中數(shù)據(jù)，求：（1）實(shí)數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的值；（2）該函數(shù)在區(qū)間SKIPIF1<0上的最大值和最小值.20．已知函數(shù)SKIPIF1<0(1)求函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間；(2)若將函數(shù)SKIPIF1<0圖象上所有點(diǎn)的橫坐標(biāo)縮短為原來(lái)的SKIPIF1<0倍，縱坐標(biāo)不變，然后再向右平移SKIPIF1<0(SKIPIF1<0)個(gè)單位長(zhǎng)度，所得函數(shù)的圖象關(guān)于SKIPIF1<0軸對(duì)稱．求SKIPIF1<0的最小值21．已知函數(shù)SKIPIF1<0，其中SKIPIF1<0．(1)若函數(shù)SKIPIF1<0的周期為SKIPIF1<0，求函數(shù)SKIPIF1<0在SKIPIF1<0，SKIPIF1<0的值域；(2)若SKIPIF1<0在區(qū)間SKIPIF1<0，SKIPIF1<0上為增函數(shù)，求SKIPIF1<0的最大值，并求SKIPIF1<0取最大值時(shí)函數(shù)SKIPIF1<0的對(duì)稱軸．22．已知函數(shù)SKIPIF1<0．