已知函数y=sin(2x)-8(sin x+cos x)+19(0≤x≤π),求函数y的最大值与最小值.
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在平行四边形ABCD中,设边AB、BC、CD的中点分别为E、F、G,设DF与AG、EG的交点分别为H、K,设
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,试用
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、
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表示
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、
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.
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已知向量
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,
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,设
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.
(1)求f(x)的最小正周期;
(2)当
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时,求函数f(x)的值域;
(3)求f(x)在区间[0,π]上的单调递增区间.
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用长为l的铁丝弯成下部为矩形,上部为半圆形的框架(如图),若矩形底边长为2x,求此框架围成的面积y与x的函数关系式,并写出其定义域.
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已知函数
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是奇函数,且
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,求f(x)的解析式.
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函数f(x)=3sin
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的图象为C,如下结论中正确的是
(写出所有正确结论的编号).①图象C关于直线x=
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对称;②图象C关于点
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对称;③由y=3sin2x的图象向右平移
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个单位长度可以得到图象C;④函数f(x)在区间
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内是增函数.
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