新高考數(shù)學一輪復習 專項分層精練第16課 任意角的三角函數(shù)（原卷版）

第16課任意角的三角函數(shù)（分層專項精練）【一層練基礎】一、單選題1．（2023秋·福建福州·高一福建省福州第一中學?？计谀┮阎荢KIPIF1<0終邊經(jīng)過點SKIPIF1<0，若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023·全國·高三專題練習）已知角SKIPIF1<0的大小如圖所示，則SKIPIF1<0（

）A．SKIPIF1<0 B．5 C．SKIPIF1<0 D．SKIPIF1<03．（2023春·北京·高一?？计谥校┤鐖D，角SKIPIF1<0以SKIPIF1<0為始邊，它的終邊與單位圓SKIPIF1<0相交于點SKIPIF1<0，且點SKIPIF1<0的橫坐標為SKIPIF1<0，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2023春·江蘇宿遷·高一校考階段練習）已知銳角SKIPIF1<0的終邊上一點SKIPIF1<0的坐標為SKIPIF1<0，則SKIPIF1<0＝（

）A．40° B．45° C．50° D．55°二、多選題5．（2022·高一課時練習）已知平面向量SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則下列說法正確的是（

）A．若SKIPIF1<0，則SKIPIF1<0或SKIPIF1<0 B．SKIPIF1<0的充要條件是SKIPIF1<0C．若SKIPIF1<0，則SKIPIF1<0 D．若SKIPIF1<0，則SKIPIF1<06．（2023秋·高一課時練習）在平面直角坐標系SKIPIF1<0中，角SKIPIF1<0頂點在原點SKIPIF1<0，以SKIPIF1<0正半軸為始邊，終邊經(jīng)過點SKIPIF1<0，則下列各式的值恒大于0的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．（2023·全國·高三專題練習）已知角SKIPIF1<0的終邊與單位圓交于點SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0三、填空題8．（2023春·四川瀘州·高一四川省瀘縣第四中學?？茧A段練習）在平面直角坐標系中，點SKIPIF1<0繞著原點SKIPIF1<0順時針旋轉(zhuǎn)SKIPIF1<0得到點SKIPIF1<0，點SKIPIF1<0的橫坐標為.9．（2020秋·江蘇泰州·高三江蘇省姜堰第二中學?？茧A段練習）歐拉公式SKIPIF1<0（SKIPIF1<0為虛數(shù)單位）是由瑞士著名數(shù)學家歐拉發(fā)明的，它將指數(shù)函數(shù)的定義域擴大到復數(shù)，建立了三角函數(shù)和指數(shù)函數(shù)的關系，它不僅出現(xiàn)在數(shù)學分析里，而且在復變函數(shù)論里也占有非常重要的地位，被譽為“數(shù)學中的天橋”.根據(jù)歐拉公式可知，SKIPIF1<0表示的復數(shù)在復平面中位于第象限.四、解答題10．（2023春·江蘇鹽城·高一江蘇省響水中學?？计谀┮阎瘮?shù)SKIPIF1<0，SKIPIF1<0.（1）SKIPIF1<0的周期是SKIPIF1<0，求SKIPIF1<0，并求SKIPIF1<0的解集；（2）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，求SKIPIF1<0的值域.【二層練綜合】一、單選題1．（2023春·吉林白城·高一?？茧A段練習）已知角SKIPIF1<0的終邊與單位圓的交于點SKIPIF1<0，則SKIPIF1<0()A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題2．（2021·高一課時練習）若集合SKIPIF1<0，SKIPIF1<0，則正確的結(jié)論有（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0三、填空題3．（2023·全國·高三專題練習）已知函數(shù)SKIPIF1<0，SKIPIF1<0，則函數(shù)SKIPIF1<0的最小值為.四、解答題4．（2018·浙江·高考真題）已知角α的頂點與原點O重合，始邊與x軸的非負半軸重合，它的終邊過點P（SKIPIF1<0）．（Ⅰ）求sin（α+π）的值；（Ⅱ）若角β滿足sin（α+β）=SKIPIF1<0，求cosβ的值．【三層練能力】一、多選題1．（2022秋·重慶北碚·高三統(tǒng)考階段練習）在平面直角坐標系中，已知角SKIPIF1<0的頂點與坐標原點重合，始邊與x軸的非負半軸重合，終邊經(jīng)過點SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0B．SKIPIF1<0C．函數(shù)SKIPIF1<0的最小正周期為SKIPIF1<0D．將函數(shù)SKIPIF1<0圖象上的所有點向左平移SKIPIF1<0個單位長度，所得到的函數(shù)解析式為SKIPIF1<0二、填空題2．（2022·全國·高三