(本小題滿分13分)
已知,函數(shù).
(1)求函數(shù)的最小正周期;
(2)求函數(shù)的單調(diào)減區(qū)間;
(3)當時,求函數(shù)的值域.
解:
··················································· 2分
································································· 5分
·············································································· 6分
······················································································· 7分
(1) 的最小正周期···································································· 8分
(2) 由得
∴的單調(diào)減區(qū)間為··············································· 10分
(3)
∵
∴
∴
∴
即的值域為··············································································· 12分
解析
科目:高中數(shù)學(xué) 來源: 題型:解答題
(本小題滿分12分)
已知函數(shù)的最小正周期為,且函數(shù)的圖象過點.
(1)求和的值;
(2)設(shè),求函數(shù)的單調(diào)遞增區(qū)間.
查看答案和解析>>
科目:高中數(shù)學(xué) 來源: 題型:解答題
設(shè)
(1)求的最小值及此時x的取值集合;
(2)把的圖象向右平移個單位后所得圖象關(guān)于y軸對稱,求m的最小值。
查看答案和解析>>
科目:高中數(shù)學(xué) 來源: 題型:解答題
(本題滿分14分)在中,三內(nèi)角A,B,C所對應(yīng)的邊分別是 a,b,c.若B=600,.
(Ⅰ)求角C的大;
(Ⅱ)已知當時,函數(shù)的最大值為1,求的值.
查看答案和解析>>
科目:高中數(shù)學(xué) 來源: 題型:解答題
(本題12分)
已知函數(shù) (A>0,ω>0,| |<)的一部分圖象如圖所示,
(1)求函數(shù)的解析式.
(2) 求函數(shù)的單調(diào)增區(qū)間及對稱中心.
查看答案和解析>>
科目:高中數(shù)學(xué) 來源: 題型:解答題
(本小題滿分16分)已知右圖是函數(shù)的部分
圖象
(1)求函數(shù)解析式;(3分)
(2)當時,求該函數(shù)圖象的對稱軸方程和對稱中心坐標;(4分)
(3)當時,寫出的單調(diào)增區(qū)間;(3分)
(4)當時,求使≥1 成立的x 的取值集合.(3分)
(5)當,求的值域.(3分)
查看答案和解析>>
科目:高中數(shù)學(xué) 來源: 題型:解答題
(10分)已知函數(shù)f(x)=Asin(ωx+φ)+B(A>0,ω>0)的一系列對應(yīng)值如下表:
(1)根據(jù)表格提供的數(shù)據(jù)求函數(shù)f(x)的一個解析式;
(2)根據(jù)(1)的結(jié)果,若函數(shù)y=f(kx)(k>0)周期為,當x∈[0,]時,方程f(kx)=m
恰有兩個不同的解,求實數(shù)m的取值范圍;
查看答案和解析>>
湖北省互聯(lián)網(wǎng)違法和不良信息舉報平臺 | 網(wǎng)上有害信息舉報專區(qū) | 電信詐騙舉報專區(qū) | 涉歷史虛無主義有害信息舉報專區(qū) | 涉企侵權(quán)舉報專區(qū)
違法和不良信息舉報電話:027-86699610 舉報郵箱:58377363@163.com