新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題12 三角函數(shù)與解三角形（單選+填空）（原卷版）

試卷第=page11頁(yè)，共=sectionpages33頁(yè)專題12三角函數(shù)與解三角形（單選+填空）一、單選題1．（2023春·重慶沙坪壩·高三重慶一中校考階段練習(xí)）已知函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，在SKIPIF1<0上單調(diào)遞減，則SKIPIF1<0的一個(gè)對(duì)稱中心可以為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023秋·浙江湖州·高三安吉縣高級(jí)中學(xué)?？计谀┮阎猄KIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2023·廣東廣州·統(tǒng)考一模）已知SKIPIF1<0為第一象限角.SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2023春·江蘇揚(yáng)州·高三統(tǒng)考開(kāi)學(xué)考試）已知SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2023秋·遼寧遼陽(yáng)·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0在SKIPIF1<0上恰有3個(gè)零點(diǎn)，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2023·福建莆田·統(tǒng)考二模）已知函數(shù)SKIPIF1<0，將其圖象向左平移SKIPIF1<0個(gè)單位長(zhǎng)度，得到函數(shù)SKIPIF1<0的圖象．SKIPIF1<0的頂點(diǎn)都是SKIPIF1<0與SKIPIF1<0圖象的公共點(diǎn)，則SKIPIF1<0面積的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023·湖南·模擬預(yù)測(cè)）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，函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱，則函數(shù)SKIPIF1<0的單調(diào)增區(qū)間可能是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2023·廣東·校聯(lián)考模擬預(yù)測(cè)）若函數(shù)SKIPIF1<0是區(qū)間SKIPIF1<0上的減函數(shù)，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．（2023春·浙江·高三開(kāi)學(xué)考試）已知函數(shù)SKIPIF1<0，兩個(gè)等式SKIPIF1<0，SKIPIF1<0，對(duì)任意實(shí)數(shù)x均成立，SKIPIF1<0在SKIPIF1<0上單調(diào)，則SKIPIF1<0的最大值為（

）A．17 B．16 C．15 D．1310．（2023·江蘇南通·校聯(lián)考模擬預(yù)測(cè)）在SKIPIF1<0中，已知SKIPIF1<0，SKIPIF1<0，D為BC的中點(diǎn)，則線段AD長(zhǎng)度的最大值為（

）A．1 B．SKIPIF1<0 C．SKIPIF1<0 D．211．（2023秋·江蘇南京·高三南京市第一中學(xué)?？计谀┰O(shè)SKIPIF1<0，函數(shù)SKIPIF1<0滿足SKIPIF1<0，則α落于區(qū)間（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<012．（2023秋·遼寧·高三校聯(lián)考期末）設(shè)函數(shù)SKIPIF1<0，若對(duì)于任意實(shí)數(shù)SKIPIF1<0，函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上至少有3個(gè)零點(diǎn)，至多有4個(gè)零點(diǎn)，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．（2023·山東·濰坊一中校聯(lián)考模擬預(yù)測(cè)）設(shè)SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、填空題14．（2023·浙江·模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0在SKIPIF1<0上單調(diào)，則正整數(shù)SKIPIF1<0的最大值為_(kāi)___________．15．（2023春·江蘇蘇州·高三統(tǒng)考開(kāi)學(xué)考試）設(shè)角SKIPIF1<0、SKIPIF1<0均為銳角，則SKIPIF1<0的范圍是______________．16．（2023春·江蘇南京·高三南京師大附中校考開(kāi)學(xué)考試）已知函數(shù)SKIPIF1<0，將SKIPIF1<0的圖像向右平移SKIPIF1<0個(gè)單位長(zhǎng)度后的函數(shù)SKIPIF1<0的圖像，若SKIPIF1<0為偶函數(shù)，則函數(shù)SKIPIF1<0在SKIPIF1<0上的值域?yàn)開(kāi)__________.17．（2023春·江蘇鎮(zhèn)江·高三揚(yáng)中市第二高級(jí)中學(xué)?？奸_(kāi)學(xué)考試）如圖，為測(cè)量山高SKIPIF1<0，選擇SKIPIF1<0和另一座山的山頂SKIPIF1<0為測(cè)量觀測(cè)點(diǎn).從SKIPIF1<0點(diǎn)測(cè)得SKIPIF1<0點(diǎn)的仰角SKIPIF1<0點(diǎn)的仰角SKIPIF1<0以及SKIPIF1<0；從SKIPIF1<0點(diǎn)測(cè)得SKIPIF1<0，已知山高SKIPIF1<0，則山高SKIPIF1<0________SKIPIF1<0.18．（2023·江蘇南通·統(tǒng)考模擬預(yù)測(cè)）在平面直角坐標(biāo)系xOy中，角SKIPIF1<0，SKIPIF1<0的終邊分別與單位圓交于點(diǎn)A，B，若直線AB的斜率為SKIPIF1<0，則SKIPIF1<0=______.19．（2023·江蘇南通·校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，若SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的取值范圍是_________．20．（2023·遼寧·校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0（SKIPIF1<0，SKIPIF1<0）在區(qū)間SKIPIF1<0內(nèi)單調(diào)，在區(qū)間SKIPIF1<0內(nèi)不單調(diào)，則ω的值為_(kāi)_____．21．（2023秋·河北邢臺(tái)·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0在SKIPIF1<0上恰有3個(gè)零點(diǎn)，則ω的最小值是________.22．（2023·山東·煙臺(tái)二中?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的取值范圍是___．23．（2023·山東菏澤·統(tǒng)考一模）設(shè)SKIPIF1<0均為非零實(shí)數(shù)，且滿足SKIPIF1<0，則SKIPIF1<0__________.24．（2023春·湖北鄂州·高三?？茧A段練習(xí)）函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則實(shí)數(shù)SKIPIF1<0的取值范圍是______．25．（2023春·廣東揭陽(yáng)·高三校考開(kāi)學(xué)考試）已知SKIPIF1<0，則SKIPIF1<0___________.26．（2023·廣東佛山·統(tǒng)考一模）已知函數(shù)SKIPIF1<0（其中SKIPIF1<0，SKIPIF1<0）.T為SKIPIF1<0的最小正周期，且滿足SKIPIF1<0.若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上恰有2個(gè)極值點(diǎn)，則SKIPIF1<0的取值范圍是______.27．（2023秋·浙江寧波·高三期末）若正數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的值為_(kāi)_____.28．（2023春·福建泉州·高三校聯(lián)考階段練習(xí)）若關(guān)于x的方程SKIPIF1<0恰有三個(gè)解SKIPIF1<0，則SKIPIF1<0______.29．（2023春·廣東珠?！じ呷楹Ｊ械谝恢袑W(xué)?？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，再把圖象上的所有點(diǎn)的橫坐標(biāo)變?yōu)樵瓉?lái)的