(本題滿分12分)函數(shù)

。
(1)求

的周期;(2)解析式及

在

上的減區(qū)間;
(3)若


,

,求

的值。
(1)


,(

)
所以,

的周期

。 …… 4分
(2)由

,得

。
又

,
令

,得


;令

,得

(舍去)
∴

在

上的減區(qū)間是

。 …… 8分
(3)由


,得

,
∴

, ∴

又

,∴

∴

,∴

∴


。 ……12分
練習(xí)冊(cè)系列答案
相關(guān)習(xí)題
科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:解答題
用函數(shù)單調(diào)性證明

上是單調(diào)減函數(shù)
查看答案和解析>>
科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:解答題
已知函數(shù)

,證明:(1)

是偶函數(shù); (2)

在

上是增加的
查看答案和解析>>
科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:解答題
已知函數(shù)


(

)最小正周期是

,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(lái)源:不詳
題型:解答題
查看答案和解析>>
科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:解答題
設(shè)函數(shù)

,若對(duì)所有的

,都有

成立,求實(shí)數(shù)

的取值范圍.
查看答案和解析>>
科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:解答題
求函數(shù)

的最大值 和最小值及相應(yīng)的

的值.
查看答案和解析>>
科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:填空題
設(shè)函數(shù)

滿足:對(duì)任意的

、



,都有

,則

與

的大小關(guān)系是______________________________.
查看答案和解析>>
科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:解答題
若函數(shù)

在區(qū)間

上的最大值為

,求實(shí)數(shù)

的值.
查看答案和解析>>