已知

,则

是第___________象限角.
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科目:高中数学
来源:不详
题型:解答题
(本题满分12分).设函数
f(
x)= ·,其中向量=(

,

),

=(


,

),x

R求:
(1)

的解析式并进行化简;
(2)

的周期和单调递增区间;
(3)若关于

的方程

在

上有解,求实数

的取值范围。
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科目:高中数学
来源:不详
题型:解答题
(12分)已知函数

(

).
(1)求

的最小正周期,并求

的最小值.
(2)令

,若

对于

恒成立,求实数

的取值范围.
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科目:高中数学
来源:不详
题型:填空题
给出下列命题:
①在△ABC中,若A<B,则

;
②将函数

图象向右平移

个单位,得到函数

的图象;
③在△ABC中,若

,

,∠

,则△ABC必为锐角三角形;
④在同一坐标系中,函数

的图象和函数

的图象有三个公共点;
其中真命题是
(填出所有正确命题的序号)。
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科目:高中数学
来源:不详
题型:单选题
若函数

的图像关于点

对称,且在

处函数有最小值,则

的一个可能的取值是 ( )
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科目:高中数学
来源:不详
题型:单选题
给出以下命题:
⑴若

,则

; ⑵

; ⑶

的原函数为

,且

是以T为周期的函数,则

;则正确命题的个数为( )
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科目:高中数学
来源:不详
题型:单选题
已知函数

, 则

的值域是( )
A.

B.

C.

D.
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科目:高中数学
来源:不详
题型:填空题
函数

的图象关于直线

对称,则实数
a = _________

________.
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