若

(1)設(shè)函數(shù)

處的切線為

,若

與圓

相切,求a的值
(2)求函數(shù)

的單調(diào)區(qū)間
(1)a="1" (2)

(1)∵

∴

………………………………2分
又

∴
l的方程為:

即:

……………………4分
又

與圓

相切
∴

………………………………6分
(2)

∵

又

∴當(dāng)

當(dāng)

∴

增區(qū)間為

……………………12分
練習(xí)冊系列答案
相關(guān)習(xí)題
科目:高中數(shù)學(xué)
來源: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)
來源:不詳
題型:解答題
(本題滿分12分)
已知函數(shù)

(1)若函數(shù)

存在單調(diào)遞減區(qū)間,求
a的取值范圍;
(2)當(dāng)
a>0時,試討論這兩個函數(shù)圖象的交點個數(shù).
查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
設(shè)函數(shù)

,若對所有的

,都有

成立,求實數(shù)

的取值范圍.
查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
,
(
)(I)若

時,函數(shù)

在其定義域是增函數(shù),求
b的取值范圍。
(II)在(I)的結(jié)論下,設(shè)函數(shù)

,

,求函數(shù)

的最小值
查看答案和解析>>
科目:高中數(shù)學(xué)
來源: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)
來源:不詳
題型:解答題
的偶函數(shù),其圖象關(guān)于點

對稱,且在區(qū)間

上是單調(diào)
函數(shù).求

的值.
查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
定義在

上的函數(shù)

既是奇函數(shù)又是周期函數(shù),若

的最小正周期是

,且當(dāng)x∈[0,

)時,

,則

的值為 ( )
查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
若

,則

;
查看答案和解析>>