已知集合A={x||x-a|<ax,a>0},若f(x)=sinπx-cosπx在A上是增函数,求a的取值范围.
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设
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=(1+cosα,sinα),
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=(1-cosβ,sinβ),
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=(1,0),α∈(0,π),β∈(π,2π),
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与
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的夹角为
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夹角为θ
2,且
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,求
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的值.
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△ABC的两个顶点A、B的坐标分别是(-a,0),(a,0)(a>0),边AC、BC所在直线的斜率之积等于k.
①若k=-1,则△ABC是直角三角形;
②若k=1,则△ABC是直角三角形;
③若k=-2,则△ABC是锐角三角形;
④若k=2,则△ABC是锐角三角形.
以上四个命题中正确命题的序号是
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已知x
1•x
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2006=1,且x
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2006)的最小值是
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数列{a
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(n≥1,n∈N),则a
n=
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设满足y≥|x-1|的点(x,y)的集合为A,满足y≤-|x|+2的点(x,y)的集合为B,则A∩B所表示图形的面积是
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