(本題滿分13分) 設(shè)銳角△ABC的

三內(nèi)角A,B,C的對邊分別為
a,
b,
c,向量

,

,已知

與

共線。 (Ⅰ)求角A的大��;
(Ⅱ)若

,

,且△ABC的面積小于

,求角B的取值范圍。
(1)

(2)

【解】(Ⅰ)因為

∥

,則

,即

.……(2分)
所以

,即

,即

. ……… (5分)
A是銳角,則


,所以

. ……………………(6分)
(Ⅱ)因為

,

,則





. ……………………(9分)
由已知,

,即

. …………………… (11分)
因為B是銳角,所以

,即

,故角B的取值范圍是

.
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
(本題滿分10分)

已知函數(shù)

(

)在一個周期內(nèi)的圖象如右圖,
(Ⅰ) 求函數(shù)的解析式。
(Ⅱ)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:不詳
題型:解答題
(本小題滿分12分)
已知函數(shù)

,

.
(1)當

時,求函數(shù)

的最大值;
(2)如果對于區(qū)間

上的任意一個

,都有

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:單選題
函數(shù)f(x) = x-2sinx在

上的最大點是( )
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10分)
在△A

BC中,a、b、c分別是角A、B、C的對邊,

,
且

.
(1)求角A的大��;
(2)求

的取值區(qū)間。
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14分)
設(shè)函數(shù)

(Ⅰ)求函數(shù)

的最大值和最小正周期;
(Ⅱ)設(shè)A,B,C為

的三個內(nèi)角,若

,且C為銳角,求


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)
設(shè)向量
(1)若

與

垂直,求

的值;
(2)求

的最大值;
(3)若

,求證:

∥

.
查看答案和解析>>
科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(12分) 設(shè)向量


(1)若

與

垂直,求

的值;
(2)求

的最大值; (3)若

,判斷

和

是平行還是垂直.
查看答案和解析>>