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選項(xiàng)中，只有一項(xiàng)是符合題目要求的．1.已知集合SKIPIF1<0，集合SKIPIF1<0，則SKIPIF1<0()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.SKIPIF1<0()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.命題“SKIPIF1<0，SKIPIF1<0”的否定為()A.SKIPIF1<0，SKIPIF1<0 B.SKIPIF1<0，SKIPIF1<0C.SKIPIF1<0，SKIPIF1<0 D.SKIPIF1<0，SKIPIF1<04.若冪函數(shù)SKIPIF1<0的圖象經(jīng)過第三象限，則a的值可以是()A.SKIPIF1<0 B.2 C.SKIPIF1<0 D.SKIPIF1<05.方程SKIPIF1<0的解一定位于區(qū)間()A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<06.已知函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0()A.SKIPIF1<0 B.1 C.SKIPIF1<0 D.SKIPIF1<07.已知SKIPIF1<0，則“SKIPIF1<0”是“SKIPIF1<0”成立的()A.充分不必要條件 B.必要不充分條件C.充分必要條件 D.既不充分也不必要條件8.下列結(jié)論正確的是()A.SKIPIF1<0 B.SKIPIF1<0C.若SKIPIF1<0，則SKIPIF1<0 D.若SKIPIF1<0，則SKIPIF1<0二、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．全部選對的得5分，有選錯的得0分，部分選對的得2分．9.將函數(shù)SKIPIF1<0圖象上的所有點(diǎn)的橫坐標(biāo)縮短為原來的SKIPIF1<0，縱坐標(biāo)不變；再向右平移SKIPIF1<0個單位長度，然后再向下平移2個單位長度，得到函數(shù)SKIPIF1<0的圖象，則()A.SKIPIF1<0 B.函數(shù)SKIPIF1<0為奇函數(shù)C.SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對稱 D.SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱10.已知關(guān)于x的不等式SKIPIF1<0的解集為SKIPIF1<0，則下列結(jié)論正確的是()A.SKIPIF1<0B.SKIPIF1<0CSKIPIF1<0D.關(guān)于x的不等式SKIPIF1<0的解集為SKIPIF1<011.定義域?yàn)镽的函數(shù)SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0，當(dāng)SKIPIF1<0時，SKIPIF1<0，已知SKIPIF1<0，則()A.SKIPIF1<0的最大值是1 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0與SKIPIF1<0的圖像有4個交點(diǎn)12.對任意的銳角SKIPIF1<0，SKIPIF1<0，下列不等關(guān)系中正確的是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.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，SKIPIF1<0，則SKIPIF1<0______．15.已知正數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的最小值為_______．16.已知函數(shù)SKIPIF1<0①當(dāng)SKIPIF1<0時，不等式SKIPIF1<0的解集為______；②若SKIPIF1<0是定義在R上的增函數(shù)，則實(shí)數(shù)m的取值范圍為______．四、解答題：本題共6小題，共70分．解答應(yīng)寫出文字說明、證明過程或演算步驟．17.已知全集SKIPIF1<0，集合SKIPIF1<0，SKIPIF1<0．(1)當(dāng)SKIPIF1<0時，求SKIPIF1<0，SKIPIF1<0；(2)若SKIPIF1<0，求實(shí)數(shù)a的取值范圍．18.已知函數(shù)SKIPIF1<0，SKIPIF1<0．(1)求SKIPIF1<0的單調(diào)遞增區(qū)間；(2)求SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)的最小值及此時對應(yīng)的x值．19.已知函數(shù)SKIPIF1<0．(1)判斷SKIPIF1<0在定義域內(nèi)的單調(diào)性，并給出證明；(2)求SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)的值域．20.某企業(yè)投資生產(chǎn)一批新型機(jī)器，其中年固定成本為2000萬元，每生產(chǎn)SKIPIF1<0百臺，需另投入生產(chǎn)成本SKIPIF1<0萬元．當(dāng)年產(chǎn)量不足46百臺時，SKIPIF1<0；當(dāng)年產(chǎn)量不小于46百臺時，SKIPIF1<0．若每臺設(shè)備售價5萬元，通過市場分析，該企業(yè)生產(chǎn)的這批機(jī)器能全部銷售完．(1)求該企業(yè)投資生產(chǎn)這批新型機(jī)器年利潤所SKIPIF1<0(萬元)關(guān)于年產(chǎn)量x(百臺)的函數(shù)關(guān)系式(利潤＝銷售額－成本)；(2)這批新型機(jī)器年產(chǎn)量為多少百臺時，該企業(yè)所獲利潤最大？并求出最大利潤．21.已知定義域?yàn)镾KIPIF1<0的偶函數(shù)SKIPIF1<0，當(dāng)SKIPIF1<0時，SKIPIF1<0．(1)求實(shí)數(shù)a值及SKIPIF1<0的解析式；(2)解關(guān)于t不等式SKIPIF1<0．22.如圖，長方形ABCD，SKIPIF1<0