廣東省深圳市2022-2023學(xué)年高一上學(xué)期期末學(xué)數(shù)學(xué)試題（原卷版）

高一上學(xué)期期末數(shù)學(xué)試題一?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)是符合題目要求的.1.已知集合SKIPIF1<0，則SKIPIF1<0()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.命題SKIPIF1<0，則SKIPIF1<0()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<03.已知SKIPIF1<0，則SKIPIF1<0()A.1 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.蕩秋千是中華大地上很多民族共有的游藝競(jìng)技項(xiàng)目.據(jù)現(xiàn)有文獻(xiàn)記載，它源自先秦.位于廣東清遠(yuǎn)的天子山懸崖秋千建在高198米的懸崖邊上，該秋千的纜索長(zhǎng)8米，蕩起來(lái)最大擺角為170°，則該秋千最大擺角所對(duì)的弧長(zhǎng)為()A.SKIPIF1<0米 B.SKIPIF1<0米 C.SKIPIF1<0米 D.198米5.設(shè)SKIPIF1<0，則SKIPIF1<0的值為()A.9 B.11 C.28 D.146.已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0的定義域?yàn)?)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<07.已知SKIPIF1<0，則SKIPIF1<0()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<08.設(shè)SKIPIF1<0，則()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0二?多選題：本題共4小題，每小題5分，共20分.在每小題給出的四個(gè)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.若SKIPIF1<0，則下列不等式成立的有()ASKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<010.下列命題為真命題的有()A.若SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，則SKIPIF1<0B.函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間為SKIPIF1<0C.“SKIPIF1<0”是“SKIPIF1<0”的充分不必要條件D.當(dāng)SKIPIF1<0時(shí)，SKIPIF1<011.已知函數(shù)SKIPIF1<0，下列選項(xiàng)正確的有()A.SKIPIF1<0的最小正周期為SKIPIF1<0B.函數(shù)SKIPIF1<0單調(diào)遞增區(qū)間為SKIPIF1<0C.SKIPIF1<0在區(qū)間SKIPIF1<0上只有一個(gè)零點(diǎn)D.函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0的值域?yàn)镾KIPIF1<012.已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，且SKIPIF1<0為奇函數(shù)，SKIPIF1<0為偶函數(shù)，SKIPIF1<0，則()A.SKIPIF1<0為奇函數(shù)B.SKIPIF1<0C.SKIPIF1<0D.SKIPIF1<0三?填空題：本題共4小題，每小題5分，共20分.13.SKIPIF1<0__________.14.已知SKIPIF1<0是SKIPIF1<0的充分條件，則實(shí)數(shù)SKIPIF1<0的取值范圍是__________.15.函數(shù)SKIPIF1<0的零點(diǎn)所在區(qū)間為SKIPIF1<0，則SKIPIF1<0的值為_(kāi)_________.SKIPIF1<016.已知SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的最小值為_(kāi)_________.四?解答題：本題共6小題，共70分.解答應(yīng)寫(xiě)出文字說(shuō)明?證明過(guò)程或演算步驟.17.已知SKIPIF1<0.(1)求證：SKIPIF1<0為奇函數(shù)；(2)求函數(shù)SKIPIF1<0的值域.18已知函數(shù)SKIPIF1<0.(1)在下面的平面直角坐標(biāo)系中，作出函數(shù)SKIPIF1<0的圖象；(2)方程SKIPIF1<0有四個(gè)不相等的實(shí)數(shù)根，求實(shí)數(shù)SKIPIF1<0的取值范圍.19.已知函數(shù)SKIPIF1<0.(1)求函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間；(2)求函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最值.20.已知全集SKIPIF1<0，集合SKIPIF1<0.(1)若SKIPIF1<0，求SKIPIF1<0的值；(2)若SKIPIF1<0，求實(shí)數(shù)SKIPIF1<0的取值范圍.21.已知SKIPIF1<0為SKIPIF1<0上的奇函數(shù)，SKIPIF1<0為SKIPIF1<0上的偶函數(shù)，且SKIPIF1<0.(1)判斷函數(shù)SKIPIF1<0的單調(diào)性，并證明；(2)若關(guān)于SKIPIF1<0的不等式SKIPIF1<0在SKIPIF1<0上恒成立，求實(shí)數(shù)SKIPIF1<0的取值范圍.22已知函數(shù)SKIPIF1<0(SKIPIF