┃試卷合集4套┃2020年福建省泉州市數(shù)學(xué)高一(上)期末學(xué)業(yè)質(zhì)量監(jiān)測(cè)模擬試題

2019-2020學(xué)年高一數(shù)學(xué)上學(xué)期期末試卷一、選擇題1．某幾何體的三視圖如圖所示（單位：cm），則該幾何體的體積（單位：SKIPIF1<0）是A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．若SKIPIF1<0，則SKIPIF1<0的值為SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.2 D.33．已知函數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的零點(diǎn)分別為SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系是SKIPIF1<0SKIPIF1<0A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．設(shè)角的終邊經(jīng)過(guò)點(diǎn)，那么（）A． B． C． D．5．已知SKIPIF1<0為方程SKIPIF1<0的解，且SKIPIF1<0，則SKIPIF1<0SKIPIF1<0A．1 B．2 C．3 D．46．如圖，在平面直角坐標(biāo)系SKIPIF1<0中，角SKIPIF1<0以SKIPIF1<0為始邊，終邊與單位圓SKIPIF1<0相交于點(diǎn)SKIPIF1<0.過(guò)點(diǎn)SKIPIF1<0的圓SKIPIF1<0的切線交SKIPIF1<0軸于點(diǎn)SKIPIF1<0，點(diǎn)SKIPIF1<0的橫坐標(biāo)關(guān)于角SKIPIF1<0的函數(shù)記為SKIPIF1<0.則下列關(guān)于函數(shù)SKIPIF1<0的說(shuō)法正確的（）A．SKIPIF1<0的定義域是SKIPIF1<0B．SKIPIF1<0的圖象的對(duì)稱(chēng)中心是SKIPIF1<0C．SKIPIF1<0的單調(diào)遞增區(qū)間是SKIPIF1<0D．SKIPIF1<0對(duì)定義域內(nèi)的SKIPIF1<0均滿(mǎn)足SKIPIF1<07．已知實(shí)數(shù)SKIPIF1<0，SKIPIF1<0滿(mǎn)足約束條件SKIPIF1<0，則目標(biāo)函數(shù)SKIPIF1<0的最小值為（）A.SKIPIF1<0 B.SKIPIF1<0 C.8 D.SKIPIF1<08．從1,2,3，…，9中任取兩數(shù)，其中：①恰有一個(gè)偶數(shù)和恰有一個(gè)奇數(shù)；②至少有一個(gè)奇數(shù)和兩個(gè)都是奇數(shù)；③至少有一個(gè)奇數(shù)和兩個(gè)都是偶數(shù)；④至少有一個(gè)奇數(shù)和至少有一個(gè)偶數(shù)．在上述事件中，是對(duì)立事件的是()．A．① B．②④ C．③ D．①③9．圓SKIPIF1<0的圓心到直線SKIPIF1<0的距離為1，則SKIPIF1<0（）A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.210．根據(jù)統(tǒng)計(jì)，一名工人組裝第x件某產(chǎn)品所用的時(shí)間(單位：分鐘)為f(x)＝(A，c為常數(shù))．已知工人組裝第4件產(chǎn)品用時(shí)30分鐘，組裝第A件產(chǎn)品用時(shí)15分鐘，那么c和A的值分別是()A．75,25B．75,16C．60,25D．60,1611．一個(gè)三棱柱的底面是正三角形，側(cè)棱垂直于底面，它的三視圖及其尺寸如下（單位），則該三棱柱的表面積為()A．B．C．D．12．設(shè)SKIPIF1<0為定義在SKIPIF1<0上的函數(shù),當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則SKIPIF1<0A．-3 B．-1 C．1 D．3二、填空題13．已知，則的最小值為_(kāi)___________。14．底面邊長(zhǎng)為1，棱長(zhǎng)為SKIPIF1<0的正四棱柱，各頂點(diǎn)均為在同一球面上，則該球的體積為_(kāi)_________．15．已知角SKIPIF1<0終邊上一點(diǎn)P的坐標(biāo)為SKIPIF1<0，則SKIPIF1<0是第____象限角，SKIPIF1<0____·16．函數(shù)SKIPIF1<0的部分圖象如圖，其中SKIPIF1<0，SKIPIF1<0，SKIPIF1<0．則SKIPIF1<0____；SKIPIF1<0_____．三、解答題17．已知向量SKIPIF1<0，SKIPIF1<0，設(shè)函數(shù)SKIPIF1<0．SKIPIF1<0ⅠSKIPIF1<0求函數(shù)SKIPIF1<0的最小正周期和單調(diào)遞增區(qū)間；SKIPIF1<0ⅡSKIPIF1<0求函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0的最大值和最小值．18．已知函數(shù)SKIPIF1<0SKIPIF1<0的圖象如圖所示．（1）求函數(shù)SKIPIF1<0的解析式；（2）求函數(shù)SKIPIF1<0的單調(diào)增區(qū)間；（3）當(dāng)SKIPIF1<0時(shí)，求函數(shù)SKIPIF1<0的值域．19．是單位圓上的點(diǎn),點(diǎn)是單位圓與軸正半軸的交點(diǎn),點(diǎn)在第二象限,記,且.(1)求點(diǎn)的坐標(biāo);(2)求的值.20．如圖，在四棱錐SKIPIF1<0中，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，平面SKIPIF1<0底面SKIPIF1<0，SKIPIF1<0，SKIPIF1<0和SKIPIF1<0分別是SKIPIF1<0和SKIPIF1<0的中點(diǎn).求證：（1）SKIPIF1<0底面SKIPIF1<0；（2）SKIPIF1<0平面SKIPIF1<0；（3）平面SKIPIF1<0平面SKIPIF1<0.21．在平面直角坐標(biāo)SKIPIF1<0中，圓SKIPIF1<0與圓SKIPIF1<0相交與SKIPIF1<0兩點(diǎn)．（I）求線段SKIPIF1<0的長(zhǎng)．（II）記圓SKIPIF1<0與SKIPIF1<0軸正半軸交于點(diǎn)SKIPIF1<0，點(diǎn)SKIPIF1<0在圓C上滑動(dòng)，求SKIPIF1<0面積最大時(shí)的直線SKIPIF1<0的方程．22．如圖，三棱柱SKIPIF1<0的側(cè)面SKIPIF1<0是邊長(zhǎng)為SKIPIF1<0的菱形，SKIPIF1<0，且SKIPIF1<0.(1)求證:SKIPIF1<0；(2)若SKIPIF1<0，當(dāng)二面角SKIPIF1<0為直二面角時(shí)，求三棱錐SKIPIF1<0的體積.【參考答案】***一、選擇題題號(hào)123456789101112答案AAADBBCCADBA二、填空題13．414．SKIPIF1<015．四SKIPIF1<016．SKIPIF1<0三、解答題17．(Ⅰ)最小正周期是SKIPIF1<0，增區(qū)間為SKIPIF1<0，SKIPIF1<0；(Ⅱ)最大值為5，最小值為4．18．(1)SKIPIF1<0(2)SKIPIF1<0，SKIPIF1<0(3)SKIPIF1<019．（1）；（2）．20．(1)證明見(jiàn)解析.(2)證明見(jiàn)解析.(3)證明見(jiàn)解析.21．（I）SKIPIF1<0；（II）SKIPIF1<0或SKIPIF1<0．22．（1）略（2）SKIPIF1<0

2019-2020學(xué)年高一數(shù)學(xué)上學(xué)期期末試卷一、選擇題1．設(shè)SKIPIF1<0是定義在SKIPIF1<0上恒不為零的函數(shù)，對(duì)任意實(shí)數(shù)SKIPIF1<0，都有SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，則數(shù)列SKIPIF1<0的前SKIPIF1<0項(xiàng)和SKIPIF1<0的取值范圍是()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02．設(shè)是兩條不同的直線，是兩個(gè)不同的平面，則下列結(jié)論正確的是（）A.若，，則 B.若，則C.若，則 D.若，則3．已知SKIPIF1<0、SKIPIF1<0是兩條不同的直線，SKIPIF1<0、SKIPIF1<0是兩個(gè)不同的平面，則下列命題正確的是（）A.若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0 B.若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0C.若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0 D.若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<04．函數(shù)SKIPIF1<0的部分圖象如圖所示，則（）A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<05．若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的最小值為（）A．2 B．SKIPIF1<0 C．4 D．SKIPIF1<06．設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0、SKIPIF1<0、SKIPIF1<0的大小關(guān)系為A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．動(dòng)圓M與定圓SKIPIF1<0相外切，且與直線SKIPIF1<0相切，則動(dòng)圓SKIPIF1<0的圓心SKIPIF1<0滿(mǎn)足的方程為（）A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<08．設(shè)集合SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<09．已知SKIPIF1<0且SKIPIF1<0，函數(shù)SKIPIF1<0，滿(mǎn)足對(duì)任意實(shí)數(shù)SKIPIF1<0，都有SKIPIF1<0成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是（）A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<010．容量為100的樣本，其數(shù)據(jù)分布在SKIPIF1<0，將樣本數(shù)據(jù)分為4組：SKIPIF1<0，得到頻率分布直方圖如圖所示，則下列說(shuō)法不正確的是（）A.樣本數(shù)據(jù)分布在SKIPIF1<0的頻率為0.32 B.樣本數(shù)據(jù)分布在SKIPIF1<0的頻數(shù)為40C.樣本數(shù)據(jù)分布在SKIPIF1<0的頻數(shù)為40 D.估計(jì)總體數(shù)據(jù)大約有10%分布在SKIPIF1<011．執(zhí)行如圖的程序框圖，如果輸入的，則輸出的值滿(mǎn)足（）A．B．C．D．12．執(zhí)行如圖所示的程序框圖，輸出的SKIPIF1<0值為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．2二、填空題13．已知在SKIPIF1<0中，角SKIPIF1<0的大小依次成等差數(shù)列，最大邊和最小邊的長(zhǎng)是方程SKIPIF1<0的兩實(shí)根，則SKIPIF1<0__________．14．直三棱柱ABC-A1B1C1，內(nèi)接于球O，且AB⊥BC，AB=3．BC=4．AA1=4，則球O的表面積______．15．如圖，正方體SKIPIF1<0的棱長(zhǎng)為1，線段SKIPIF1<0上有兩個(gè)動(dòng)點(diǎn)SKIPIF1<0，且SKIPIF1<0，現(xiàn)有如下四個(gè)結(jié)論：SKIPIF1<0；SKIPIF1<0平面SKIPIF1<0；SKIPIF1<0三棱錐SKIPIF1<0的體積為定值；SKIPIF1<0異面直線SKIPIF1<0所成的角為定值，其中正確結(jié)論的序號(hào)是______．16．已知函數(shù)SKIPIF1<0，SKIPIF1<0，若存在實(shí)數(shù)SKIPIF1<0，SKIPIF1<0，使得SKIPIF1<0，且SKIPIF1<0，則實(shí)數(shù)a的取值范圍是_____．三、解答題17．已知數(shù)列SKIPIF1<0是公差不為0的等差數(shù)列，SKIPIF1<0成等比數(shù)列.（1）求SKIPIF1<0；（2）設(shè)SKIPIF1<0，數(shù)列SKIPIF1<0的前n項(xiàng)和為SKIPIF1<0，求SKIPIF1<018．已知函數(shù)SKIPIF1<0，SKIPIF1<0（1）求函數(shù)SKIPIF1<0的最小正周期；（2）設(shè)SKIPIF1<0的內(nèi)角SKIPIF1<0的對(duì)邊分別為SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，求SKIPIF1<0的面積．19．已知函數(shù)SKIPIF1<0．SKIPIF1<0ⅠSKIPIF1<0若SKIPIF1<0，求SKIPIF1<0的值；SKIPIF1<0ⅡSKIPIF1<0設(shè)函數(shù)SKIPIF1<0，求函數(shù)SKIPIF1<0的值域．20．計(jì)算：。21．設(shè)二次函數(shù)SKIPIF1<0的圖像過(guò)點(diǎn)SKIPIF1<0和SKIPIF1<0，且對(duì)于任意實(shí)數(shù)SKIPIF1<0，不等式SKIPIF1<0恒成立．（1）求SKIPIF1<0的表達(dá)式；（2）設(shè)SKIPIF1<0，若SKIPIF1<0在SKIPIF1<0上是增函數(shù)，求實(shí)數(shù)SKIPIF1<0的取值范圍．22．已知是奇函數(shù)．求a的值并判斷的單調(diào)性，無(wú)需證明；若對(duì)任意，不等式恒成立，求實(shí)數(shù)k的取值范圍．【參考答案】***一、選擇題題號(hào)123456789101112答案AAAACABCDDCD二、填空題13．SKIPIF1<014．SKIPIF1<015．SKIPIF1<016．SKIPIF1<0三、解答題17．(1)SKIPIF1<0(2)SKIPIF1<018．（1）SKIPIF1<0；（2）SKIPIF1<0．19．SKIPIF1<0ⅠSKIPIF1<0；（2）SKIPIF1<020．21．（Ⅰ）；（Ⅱ）.22．（1）在R上為增函數(shù)；（2）

2019-2020學(xué)年高一數(shù)學(xué)上學(xué)期期末試卷一、選擇題1．在長(zhǎng)為SKIPIF1<0的線段SKIPIF1<0上任取一點(diǎn)SKIPIF1<0.現(xiàn)作一矩形，鄰邊長(zhǎng)分別等于線段SKIPIF1<0，SKIPIF1<0的長(zhǎng)，則該矩形面積大于SKIPIF1<0的概率為（）A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02．設(shè)，，是平面內(nèi)共線的三個(gè)不同的點(diǎn)，點(diǎn)是，，所在直線外任意-點(diǎn)，且滿(mǎn)足，若點(diǎn)在線段的延長(zhǎng)線上，則（）A.， B.， C. D.3．已知函數(shù)SKIPIF1<0在一個(gè)周期內(nèi)的圖象如圖所示.則SKIPIF1<0的圖象，可由函數(shù)SKIPIF1<0的圖象怎樣變換而來(lái)（縱坐標(biāo)不變）（）A.先把各點(diǎn)的橫坐標(biāo)縮短到原來(lái)的SKIPIF1<0倍，再向左平移SKIPIF1<0個(gè)單位B.先把各點(diǎn)的橫坐標(biāo)縮短到原來(lái)的SKIPIF1<0倍，再向右平移SKIPIF1<0個(gè)單位C.先把各點(diǎn)的橫坐標(biāo)伸長(zhǎng)到原來(lái)的2倍，再向左平移SKIPIF1<0個(gè)單位D.先把各點(diǎn)的橫坐標(biāo)伸長(zhǎng)到原來(lái)的2倍，再向右平移SKIPIF1<0個(gè)單位4．已知SKIPIF1<0中，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的對(duì)邊分別是SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0邊上的中線的長(zhǎng)為()A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<05．已知函數(shù)f（x）=Asin（ωx+φ）（A＞0，ω＞0，|φ|＜π）的圖象經(jīng)過(guò)點(diǎn)P（SKIPIF1<0，0）和相鄰的最低點(diǎn)為Q（SKIPIF1<0，-2），則f（x）的解析式（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．下列函數(shù)中，值域是SKIPIF1<0的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．已知邊長(zhǎng)為1的菱形SKIPIF1<0中，SKIPIF1<0，點(diǎn)SKIPIF1<0滿(mǎn)足SKIPIF1<0，則SKIPIF1<0的值是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．設(shè)，若僅有一個(gè)常數(shù)，使得對(duì)于任意的，都有滿(mǎn)足方程，則的取值集合為（）A. B. C. D.9．若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的最小值為（）A．2 B．SKIPIF1<0 C．4 D．SKIPIF1<010．已知函數(shù)SKIPIF1<0,若方程SKIPIF1<0有三個(gè)不同的實(shí)數(shù)根，則實(shí)數(shù)SKIPIF1<0的取值范圍為（）A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<011．將進(jìn)貨單價(jià)為40元的商品按60元一個(gè)售出時(shí)，能賣(mài)出400個(gè)．已知該商品每個(gè)漲價(jià)1元，其銷(xiāo)售量就減少10個(gè)，為了賺得最大利潤(rùn)，售價(jià)應(yīng)定為A．每個(gè)70元B．每個(gè)85元C．每個(gè)80元D．每個(gè)75元12．如圖，三棱柱中，側(cè)棱底面，底面三角形是正三角形，是中點(diǎn)，則下列敘述正確的是（）A．平面B．與是異面直線C．D．二、填空題13．如圖，一熱氣球在海拔60m的高度飛行，在空中A處測(cè)得前下方河流兩側(cè)河岸SKIPIF1<0，SKIPIF1<0的俯角分別為75°，30°，則河流的寬度SKIPIF1<0等于_____m．14．已知SKIPIF1<0，若SKIPIF1<0，則a的取值范圍是______．15．若函數(shù)是冪函數(shù)，則函數(shù)（其中，）的圖象過(guò)定點(diǎn)的坐標(biāo)為_(kāi)_________．16．一個(gè)三角形的三條邊成等比數(shù)列，那么，公比q的取值范圍是__________.三、解答題17．某市食品藥品監(jiān)督管理局開(kāi)展2019年春季校園餐飲安全檢查，對(duì)本市的8所中學(xué)食堂進(jìn)行了原料采購(gòu)加工標(biāo)準(zhǔn)和衛(wèi)生標(biāo)準(zhǔn)的檢查和評(píng)分，其評(píng)分情況如下表所示：中學(xué)編號(hào)12345678原料采購(gòu)加工標(biāo)準(zhǔn)評(píng)分x10095938382757066衛(wèi)生標(biāo)準(zhǔn)評(píng)分y8784838281797775（1）已知x與y之間具有線性相關(guān)關(guān)系，求y關(guān)于x的線性回歸方程；（精確到0.1）（2）現(xiàn)從8個(gè)被檢查的中學(xué)食堂中任意抽取兩個(gè)組成一組，若兩個(gè)中學(xué)食堂的原料采購(gòu)加工標(biāo)準(zhǔn)和衛(wèi)生標(biāo)準(zhǔn)的評(píng)分均超過(guò)80分，則組成“對(duì)比標(biāo)兵食堂”，求該組被評(píng)為“對(duì)比標(biāo)兵食堂”的概率.參考公式：SKIPIF1<0，SKIPIF1<0；參考數(shù)據(jù)：SKIPIF1<0，SKIPIF1<0.18．如圖，已知以點(diǎn)SKIPIF1<0為圓心的圓與直線SKIPIF1<0相切．過(guò)點(diǎn)SKIPIF1<0的動(dòng)直線SKIPIF1<0與圓A相交于M，N兩點(diǎn)，Q是SKIPIF1<0的中點(diǎn)，直線SKIPIF1<0與SKIPIF1<0相交于點(diǎn)P．（1）求圓A的方程；（2）當(dāng)SKIPIF1<0時(shí)，求直線SKIPIF1<0的方程．19．已知如圖，在直三棱柱SKIPIF1<0中，SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0是SKIPIF1<0的中點(diǎn)，SKIPIF1<0是SKIPIF1<0的中點(diǎn)，點(diǎn)SKIPIF1<0在直線SKIPIF1<0上.（1）若SKIPIF1<0為SKIPIF1<0中點(diǎn)，求證：SKIPIF1<0平面SKIPIF1<0；（2）證明：SKIPIF1<020．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的單調(diào)遞減區(qū)間；(3)求函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最小值．21．已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，且對(duì)任意實(shí)數(shù)SKIPIF1<0恒有SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）成立.（1）求函數(shù)SKIPIF1<0的解析式；（2）討論SKIPIF1<0在SKIPIF1<0上的單調(diào)性，并用定義加以證明.22．已知等差數(shù)列SKIPIF1<0的前3項(xiàng)和為6，前8項(xiàng)和為SKIPIF1<0.（1）求數(shù)列SKIPIF1<0的通項(xiàng)公式；（2）設(shè)SKIPIF1<0，求數(shù)列SKIPIF1<0的前SKIPIF1<0項(xiàng)和SKIPIF1<0【參考答案】***一、選擇題題號(hào)123456789101112答案CABCBDACCAAD二、填空題13．SKIPIF1<014．SKIPIF1<015．（3，0）16．SKIPIF1<0三、解答題17．（1）SKIPIF1<0；（2）SKIPIF1<018．(1)SKIPIF1<0.(2)SKIPIF1<0或SKIPIF1<019．（1）略；（2）略20．（1）SKIPIF1<0；（2）SKIPIF1<0；（3）SKIPIF1<021．（1）SKIPIF1<0（2）當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0在SKIPIF1<0上為單調(diào)減函數(shù)；當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0在SKIPIF1<0上為單調(diào)增函數(shù).22．（1）SKIPIF1<0（2）SKIPIF1<0

2019-2020學(xué)年高一數(shù)學(xué)上學(xué)期期末試卷一、選擇題1．已知SKIPIF1<0是常數(shù)，那么“SKIPIF1<0”是“SKIPIF1<0等式對(duì)任意SKIPIF1<0恒成立”的（）A．充分非必要條件 B．必要非充分條件C．充要條件 D．既不充分也不必要條件2．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0是周期為SKIPIF1<0的偶函數(shù)，則SKIPIF1<0可以是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知半圓C：SKIPIF1<0（SKIPIF1<0），A、B分別為半圓C與x軸的左、右交點(diǎn)，直線m過(guò)點(diǎn)B且與x軸垂直，點(diǎn)P在直線m上，縱坐標(biāo)為t，若在半圓C上存在點(diǎn)Q使SKIPIF1<0，則t的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．已知SKIPIF1<0，當(dāng)m∈[0，1]時(shí)，SKIPIF1<0恒成立，則實(shí)數(shù)a的取值范圍是（）A.0≤a≤1 B.0＜a＜1 C.a≤0或a≥1 D.a＜0或a＞15．如圖所示，平面內(nèi)有三個(gè)向量SKIPIF1<0，其中SKIPIF1<0與SKIPIF1<0的夾角為SKIPIF1<0，SKIPIF1<0與SKIPIF1<0的夾角為SKIPIF1<0，且SKIPIF1<0，若SKIPIF1<0，則SKIPIF1<0SKIPIF1<0A．1 B．2 C．3 D．46．已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0軸對(duì)稱(chēng)，且函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則不等式SKIPIF1<0的解集為（）A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<07．設(shè)函數(shù)f(x)=cos(x+SKIPIF1<0)，則下列結(jié)論錯(cuò)誤的是A．f(x)的一個(gè)周期為?2π B．y=f(x)的圖像關(guān)于直線x=SKIPIF1<0對(duì)稱(chēng)C．f(x+π)的一個(gè)零點(diǎn)為x=SKIPIF1<0 D．f(x)在(SKIPIF1<0,π)單調(diào)遞減8．已知集合SKIPIF1<0，則SKIPIF1<0（）A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<09．下列函數(shù)的最小值為SKIPIF1<0的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．冪函數(shù)SKIPIF1<0在SKIPIF1<0時(shí)是減函數(shù)，則實(shí)數(shù)m的值為SKIPIF1<0SKIPIF1<0A.2或SKIPIF1<0 B.SKIPIF1<0 C.2 D.SKIPIF1<0或111．已知，，，則，，的大小關(guān)系為（）A． B． C． D．12．下列函數(shù)中，在區(qū)間SKIPIF1<0上是增函數(shù)的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、填空題13．對(duì)任意實(shí)數(shù)SKIPIF1<0，不等式SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是____．14．已知SKIPIF1<0是SKIPIF1<0上的增函數(shù)，那么SKIPIF1<0的取值范圍是______．15．已知x<0，且x-y=1，則SKIPIF1<0的最大值是____．16．已知數(shù)列SKIPIF1<0滿(mǎn)足SKIPIF1<0，若SKIPIF1<0，則數(shù)列SKIPIF1<0的通項(xiàng)SKIPIF1<0______.三、解答題17．某快餐連鎖店招聘外賣(mài)騎手，該快餐連鎖店提供了兩種日工資方案：方案(1)規(guī)定每日底薪50元，快遞業(yè)務(wù)每完成一單提成3元；方案(2)規(guī)定每日底薪100元，快遞業(yè)務(wù)的前44單沒(méi)有提成，從第45單開(kāi)始，每完成一單提成5元．該快餐連鎖店記錄了每天騎手的人均業(yè)務(wù)量．現(xiàn)隨機(jī)抽取100天的數(shù)據(jù)，將樣本數(shù)據(jù)分為[25，35），[35，45)，[45，55)，[55，65)，[65，75)，[75，85)，[85，95]七組，整理得到如圖所示的頻率分布直方圖。(1)隨機(jī)選取一天，估計(jì)這一天該連鎖店的騎手的人均日快遞業(yè)務(wù)量不少于65單的概率；(2)若騎手甲、乙選擇了日工資方案(1)，丙、丁選擇了日工資方案(2)．現(xiàn)從上述4名騎手中隨機(jī)選取2人，求至少有1名騎手選擇方案(1)的概率；18．設(shè)圓SKIPIF1<0，圓SKIPIF1<0，（1）判斷圓SKIPIF1<0與圓SKIPIF1<0的位置關(guān)系；（2）點(diǎn)SKIPIF1<0、SKIPIF1<0分別是圓SKIPIF1<0，SKIPIF1<0上的動(dòng)點(diǎn)，SKIPIF1<0為直線SKIPIF1<0上的動(dòng)點(diǎn)，求SKIPIF1<0的最小值。19．已知函數(shù)SKIPIF1<0，將SKIPIF1<0的圖象向右平移SKIPIF1<0單位長(zhǎng)度，再向下平移SKIPIF1<0個(gè)單位長(zhǎng)度得到函數(shù)SKIPIF1<0的圖象.（1）求函數(shù)SKIPIF1<0的遞增區(qū)間；（2）當(dāng)SKIPIF1<0時(shí)，求SKIPIF1<0的最小值以及取得最小值時(shí)SKIPIF1<0的集合.20．某市從高二年級(jí)隨機(jī)選取1000名學(xué)生，統(tǒng)計(jì)他們選修物理、化學(xué)、生物、