試題分析:因為

,所以

。因為在點

處切線的傾斜角為

,所以

。
點評:導(dǎo)數(shù)的幾何意義就是:這一點的導(dǎo)數(shù)就是這一點切線的斜率。我們一定要靈活應(yīng)用這一條。
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)

.
(1)討論

的單調(diào)性;
(2)設(shè)

,證明:當(dāng)

時,

;
(3)若函數(shù)

的圖像與x軸交于A,B兩點,線段AB中點的橫坐標為x
0,證明:

(x
0)<0.(本題滿分14分)
查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:填空題
已知函數(shù)

在定義域

內(nèi)可導(dǎo),其圖象如圖所示,記

的導(dǎo)函數(shù)為

,則滿足

的實數(shù)

的范圍是
.

查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(本小題滿分12分)已知函數(shù)

(1)當(dāng)

時,求曲線

在點

處的切線方程;
(2)當(dāng)

時,若

在區(qū)間

上的最小值為-2,求

的取值范圍;
(3)若對任意

,且

恒成立,求

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
已知

(1)如果函數(shù)

的單調(diào)遞減區(qū)間為

,求函數(shù)

的解析式;
(2)在(1)的條件下,求函數(shù)

的圖像過點

的切線方程;
(3)對一切的

,

恒成立,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:填空題
已知函數(shù)

>

,其中r為有理數(shù),且0<r<1. 則

的最小值為_______;
查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知函數(shù)

。
(1)若

的單調(diào)增區(qū)間是(0,1)求m的值。
(2)當(dāng)

時,函數(shù)

的圖象上任意一點的切線斜率恒大于3m,求m的取值范圍。
查看答案和解析>>