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科目:高中數(shù)學
來源:不詳
題型:解答題
(本小題滿分10分)(注意:在試題卷上作答無效)
在△
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中,角
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、

、
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所對的邊分別為

、

、

,且

.
(Ⅰ)若

,求角

;
(Ⅱ)設

,

,試求

的最大值.
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科目:高中數(shù)學
來源:不詳
題型:解答題
已知某海濱浴場的海浪高度

(單位:米)與時間


(單位:時)的函數(shù)關系記作

,下表是某日各時的浪高數(shù)據(jù):
/時
| 0
| 3
| 6
| 9
| 12
| 15
| 18
| 21
| 24
|
/米
| 1.5
| 1.0
| 0.5
| 1.0
| 1.5
| 1.0
| 0.5
| 0.99
| 1.5
|
經長期觀測,函數(shù)

可近似地看成是函數(shù)

.
(1)根據(jù)以上數(shù)據(jù),求出函數(shù)

的最小正周期T及函數(shù)表達 式(其中

);
(2)根據(jù)規(guī)定,當海浪高度不低于0.75米時,才對沖浪愛好者開放,請根據(jù)以上結論,判斷一天內從上午7時至晚上19時之間,該浴場有多少時間可向沖浪愛好者開放?
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科目:高中數(shù)學
來源:不詳
題型:解答題
已知不重合的兩個點


,

為坐標原點。
(1)求

夾角的余弦值

的解析式及其值域;
(2)求

的面積

,并求出其取最大值時,

的值。
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科目:高中數(shù)學
來源:不詳
題型:解答題
已知點

.
(Ⅰ)若

,求

和

的值
(Ⅱ)若

,其中

為坐標原點,求

的值.
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科目:高中數(shù)學
來源:不詳
題型:解答題
已知

,

都是銳角,

,

,
(Ⅰ)求

的值;(Ⅱ)求

的值.
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科目:高中數(shù)學
來源:不詳
題型:解答題



(Ⅰ)若

,求角

;
(Ⅱ)若

恒成立,求實數(shù)m的取值范圍
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科目:高中數(shù)學
來源:不詳
題型:填空題
已知兩點

,


的坐標滿足

,

,則原點到直線AB的距離是___________。
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